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Materials Data on Li5GeN3 by Materials Project

Li5GeN3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.02–2.46 Å. In the second Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.18 Å. In the third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with fourteen LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.13 Å. In the eleventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.36 Å. In the thirteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.33 Å. In the fourteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.00–2.22 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 1.96–2.50 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.03–2.53 Å. In the seventeenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, edges with four LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.04–2.24 Å. In the eighteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.21 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.03–2.49 Å. In the twentieth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with nine LiN4 tetrahedra, edges with two GeN4 tetrahedra, edges with three LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.09–2.12 Å. In the twenty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.20 Å. In the twenty-second Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with eight LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, edges with four LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 1.98–2.19 Å. In the twenty-third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.01–2.38 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.22 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two LiN4 tetrahedra, and edges with two GeN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.19 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.00–2.27 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.20 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.31 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eight LiN4 tetrahedra, corners with two LiN4 trigonal pyramids, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.31 Å. In the thirtieth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.23 Å. In the thirty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.20 Å. In the thirty-second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.27 Å. In the thirty-third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.23 Å. In the thirty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with ten LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.18 Å. In the thirty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.22 Å. In the thirty-sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.26 Å. In the thirty-seventh Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.19 Å. In the thirty-eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 1.93–2.56 Å. In the thirty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with fo

36 MATERIALS SCIENCE↗

Materials Data on Nd9Ti10O30 by Materials Project

Nd9Ti10O30 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Nd+2.89+ sites. In the first Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.81 Å. In the second Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.84 Å. In the third Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.75 Å. In the fourth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.77 Å. In the fifth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.75 Å. In the sixth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.71 Å. In the seventh Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.77 Å. In the eighth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.76 Å. In the ninth Nd+2.89+ site, Nd+2.89+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.96 Å. In the tenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.78 Å. In the eleventh Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.74 Å. In the twelfth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.79 Å. In the thirteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.83 Å. In the fourteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–3.06 Å. In the fifteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.77 Å. In the sixteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.77 Å. In the seventeenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.68 Å. In the eighteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.74 Å. There are twenty inequivalent Ti+3.40+ sites. In the first Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–31°. There are a spread of Ti–O bond distances ranging from 1.97–2.07 Å. In the second Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the third Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–32°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the fourth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–32°. There are a spread of Ti–O bond distances ranging from 1.94–2.08 Å. In the fifth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.93–2.08 Å. In the sixth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–30°. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the seventh Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–29°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the eighth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the ninth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–30°. There are a spread of Ti–O bond distances ranging from 1.94–2.08 Å. In the tenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the eleventh Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–30°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the twelfth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the thirteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.94–2.07 Å. In the fourteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Ti–O bond distances ranging from 2.00–2.02 Å. In the fifteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–30°. There are a spread of Ti–O bond distances ranging from 2.01–2.03 Å. In the sixteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–30°. There are a spread of Ti–O bond distances ranging from 1.97–2.07 Å. In the seventeenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–32°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the eighteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–32°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the nineteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–31°. There are a spread of Ti–O bond distances ranging from 1.93–2.08 Å. In the twentieth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the second O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the sixth O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the eighteenth O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form a mixture of distorted corner and edge-sharing ONd2Ti2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-second O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted edge-sharing ONd2Ti2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-first O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd+2.89+ and tw

36 MATERIALS SCIENCE↗

Materials Data on Na17Zr7Sc5Si6(PO6)12 by Materials Project

Na17Sc5Zr7Si6(PO6)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Na sites. In the first Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.49–2.73 Å. In the second Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.98 Å. In the third Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.78 Å. In the fourth Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.50–2.72 Å. In the fifth Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.50–2.69 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.46–3.00 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.78 Å. In the eighth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.93 Å. In the ninth Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.69 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are four shorter (2.52 Å) and two longer (2.67 Å) Na–O bond lengths. In the eleventh Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.52–2.78 Å. In the twelfth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.77 Å. In the thirteenth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.94 Å. In the fourteenth Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.68 Å. In the fifteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.71 Å. In the sixteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.48–2.75 Å. In the seventeenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.77 Å. There are five inequivalent Sc sites. In the first Sc site, Sc is bonded to six O atoms to form distorted ScO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 1.93–2.30 Å. In the second Sc site, Sc is bonded to six O atoms to form distorted ScO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 1.97–2.29 Å. In the third Sc site, Sc is bonded to six O atoms to form distorted ScO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 1.98–2.28 Å. In the fourth Sc site, Sc is bonded to six O atoms to form distorted ScO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 1.98–2.26 Å. In the fifth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 1.98–2.24 Å. There are seven inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.24 Å. In the second Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.20 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.22 Å. In the fourth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.23 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.96–2.27 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.21 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.24 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–36°. There is one shorter (1.60 Å) and three longer (1.65 Å) Si–O bond length. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–38°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 34–35°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 34–35°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 32–35°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–34°. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. There are twelve inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–32°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one ScO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–38°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one ScO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–38°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one ScO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one ScO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–32°. There is one shorter (1.53 Å) and three longer (1.56 Å) P–O bond length. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. All P–O bond lengths are 1.55 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–32°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–38°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–36°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the second O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the third O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the fourth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Sc and one Si atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Zr, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Zr, and one Si atom. In the ninth O site, O is bonded in a 5-coordinate geometry to three Na, one Zr, and one P atom. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Zr, and one P atom. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Sc, and one P atom. In the twelfth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.31 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.25 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.24 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.31 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.30 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.38 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.38 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.18 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.30 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.38 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.39 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.31 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.77 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.76 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.30 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–55°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–55°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.25+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+

36 MATERIALS SCIENCE↗

Materials Data on Sm8Al53Si17Ru12 by Materials Project

Sm8Ru12Al53Si17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Sm sites. In the first Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.16–3.23 Å. All Sm–Si bond lengths are 2.99 Å. In the second Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.15–3.24 Å. There are one shorter (2.98 Å) and two longer (2.99 Å) Sm–Si bond lengths. In the third Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.13–3.25 Å. All Sm–Si bond lengths are 2.98 Å. In the fourth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.26 Å. There are a spread of Sm–Si bond distances ranging from 2.97–2.99 Å. In the fifth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.25 Å. All Sm–Si bond lengths are 2.97 Å. In the sixth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.24 Å. There are a spread of Sm–Si bond distances ranging from 2.97–2.99 Å. In the seventh Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.15–3.24 Å. There are a spread of Sm–Si bond distances ranging from 2.97–2.99 Å. In the eighth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.24 Å. There are two shorter (2.98 Å) and one longer (2.99 Å) Sm–Si bond lengths. There are twelve inequivalent Ru sites. In the first Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.47–2.63 Å. In the second Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.46–2.63 Å. In the third Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.45–2.63 Å. In the fourth Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.47–2.62 Å. In the fifth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.63 Å. The Ru–Si bond length is 2.40 Å. In the sixth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.60–2.62 Å. The Ru–Si bond length is 2.39 Å. In the seventh Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.64 Å. The Ru–Si bond length is 2.40 Å. In the eighth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.63 Å. The Ru–Si bond length is 2.40 Å. In the ninth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.58–2.62 Å. The Ru–Si bond length is 2.39 Å. In the tenth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.65 Å. The Ru–Si bond length is 2.40 Å. In the eleventh Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.60–2.62 Å. The Ru–Si bond length is 2.39 Å. In the twelfth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.58–2.63 Å. The Ru–Si bond length is 2.41 Å. There are fifty-three inequivalent Al sites. In the first Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and one Si atom. The Al–Si bond length is 2.59 Å. In the second Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and one Si atom. The Al–Al bond length is 2.75 Å. The Al–Si bond length is 2.58 Å. In the third Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and one Si atom. The Al–Si bond length is 2.58 Å. In the fourth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are two shorter (2.75 Å) and two longer (2.90 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.58–2.77 Å. In the fifth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. Both Al–Al bond lengths are 2.74 Å. There are one shorter (2.58 Å) and one longer (2.91 Å) Al–Si bond lengths. In the sixth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. There are one shorter (2.75 Å) and one longer (2.77 Å) Al–Al bond lengths. There are one shorter (2.60 Å) and one longer (2.86 Å) Al–Si bond lengths. In the seventh Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. Both Al–Al bond lengths are 2.75 Å. There are a spread of Al–Si bond distances ranging from 2.59–2.81 Å. In the eighth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.92 Å. There are a spread of Al–Si bond distances ranging from 2.59–2.80 Å. In the ninth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and three Si atoms. The Al–Al bond length is 2.77 Å. There are a spread of Al–Si bond distances ranging from 2.60–2.77 Å. In the tenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are a spread of Al–Al bond distances ranging from 2.75–2.90 Å. There are a spread of Al–Si bond distances ranging from 2.59–2.77 Å. In the eleventh Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. Both Al–Al bond lengths are 2.76 Å. There are a spread of Al–Si bond distances ranging from 2.58–2.79 Å. In the twelfth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. There are one shorter (2.73 Å) and one longer (2.74 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.57–2.88 Å. In the thirteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.59–2.82 Å. In the fourteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, three Al, and three Si atoms. There are one shorter (2.73 Å) and one longer (2.74 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.58–2.89 Å. In the fifteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. Both Al–Al bond lengths are 2.74 Å. There are a spread of Al–Si bond distances ranging from 2.58–2.86 Å. In the sixteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and two Si atoms. The Al–Al bond length is 2.74 Å. There are one shorter (2.59 Å) and one longer (2.88 Å) Al–Si bond lengths. In the seventeenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. The Al–Al bond length is 2.73 Å. There are a spread of Al–Si bond distances ranging from 2.58–2.83 Å. In the eighteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and two Si atoms. The Al–Al bond length is 2.75 Å. There are one shorter (2.59 Å) and one longer (2.88 Å) Al–Si bond lengths. In the nineteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.59–2.75 Å. In the twentieth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. Both Al–Al bond lengths are 2.75 Å. There are one shorter (2.59 Å) and one longer (2.89 Å) Al–Si bond lengths. In the twenty-first Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. Both Al–Al bond lengths are 2.76 Å. There are one shorter (2.60 Å) and one longer (2.86 Å) Al–Si bond lengths. In the twenty-second Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and two Si atoms. There are one shorter (2.58 Å) and one longer (2.83 Å) Al–Si bond lengths. In the twenty-third Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and one Si atom. Both Al–Al bond lengths are 2.77 Å. The Al–Si bond length is 2.60 Å. In the twenty-fourth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and two Si atoms. There are one shorter (2.58 Å) and one longer (2.88 Å) Al–Si bond lengths. In the twenty-fifth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, three Al, and one Si atom. There are a spread of Al–Al bond distances ranging from 2.61–2.90 Å. The Al–Si bond length is 2.64 Å. In the twenty-sixth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, two Al, and one Si atom. The Al–Al bond length is 2.91 Å. The Al–Si bond length is 2.64 Å. In the twenty-seventh Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, two Al, and one Si atom. There are one shorter (2.61 Å) and one longer (2.91 Å) Al–Al bond lengths. The Al–Si bond length is 2.66 Å. In the twenty-eighth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, two Al, and one Si atom. The Al–Al bond length is 2.91 Å. The Al–Si bond length is 2.66 Å. In the twenty-ninth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, and one Si atom. The Al–Si bond length is 2.65 Å. In the thirtieth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.62 Å) and one longer (2.90 Å) Al–Al bond lengths. The Al–Si bond length is 2.65 Å. In the thirty-first Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. Both Al–Al bond lengths are 2.90 Å. The Al–Si bond length is 2.65 Å. In the thirty-second Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, three Al, and one Si atom. There are one shorter (2.61 Å) and one longer (2.92 Å) Al–Al bond lengths. The Al–Si bond length is 2.65 Å. In the thirty-third Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.61 Å) and two longer (2.91 Å) Al–Al bond lengths. The Al–Si bond length is 2.66 Å. In the thirty-fourth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, three Al, and one Si atom. The Al–Al bond length is 2.94 Å. The Al–Si bond length is 2.65 Å. In the thirty-fifth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. The Al–Al bond length is 2.61 Å. The Al–Si bond length is 2.66 Å. In the thirty-sixth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.62 Å) and one longer (2.89 Å) Al–Al bond lengths. The Al–Si bond length is 2.65 Å. In the thirty-seventh Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.62 Å) and one longer (2.91 Å) Al–Al bond lengths. The Al–Si bond length is 2.66 Å. In the thirty-eighth Al site, Al is bonded in a 3-coordina

36 MATERIALS SCIENCE↗

Materials Data on Li4TiO4 by Materials Project

Li4TiO4 is Aluminum carbonitride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two TiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.03–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.03–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.98–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.40 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two LiO4 tetrahedra, corners with two TiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.40 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.72 Å. In the eighth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.00 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.26 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.52 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two TiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.21 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two TiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.59 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.26 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.86–2.10 Å. In the sixteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.15 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.90–2.10 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the twenty-first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.15 Å. In the twenty-second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.15 Å. In the twenty-third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.12 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.13 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.89–2.10 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.23 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.86–2.09 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.14 Å. In the twenty-ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the thirtieth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.13 Å. In the thirty-first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.62 Å. In the thirty-second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with four LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.87–2.24 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.78–1.95 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.76–1.88 Å. In the third Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.81–1.88 Å. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.80–1.86 Å. In the fifth Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.83–1.86 Å. In the sixth Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with seven LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.79–1.89 Å. In th

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe2(PO4)3 by Materials Project

Li5Fe2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 71–74°. There are a spread of Li–O bond distances ranging from 1.98–2.11 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.17 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.11 Å. In the ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 72–74°. There are a spread of Li–O bond distances ranging from 1.98–2.12 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 67–81°. There are a spread of Li–O bond distances ranging from 1.94–2.57 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.53 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.02 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.13 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.12 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.01 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.53 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.94–2.55 Å. There are eight inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.45 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.46 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.12–2.33 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.12–2.32 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.28 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.31 Å. In the seventh Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.05–2.50 Å. In the eighth Fe2+ site, Fe2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.05–2.53 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–52°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 32–51°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 32–51°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 39–56°. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, corners with two LiO4 tetrahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 39–55°. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Fe2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Fe2+, and one P5+ atom to form distorted corner-sharing OLi2FeP tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe2+, and one

36 MATERIALS SCIENCE↗

Materials Data on Li19V8(BO3)16 by Materials Project

Li19V8(BO3)16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with three VO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one VO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 59–82°. There are a spread of Li–O bond distances ranging from 1.90–2.14 Å. In the second Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one VO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.28 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, corners with two VO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 2.00–2.18 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, corners with two VO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the fifth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the sixth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.04–2.44 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one VO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Li–O bond distances ranging from 1.89–2.22 Å. In the eighth Li site, Li is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.49 Å. In the ninth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share edges with two VO6 octahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.39 Å. In the tenth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share an edgeedge with one VO6 octahedra, edges with two LiO4 tetrahedra, and an edgeedge with one VO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.02–2.35 Å. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two equivalent VO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the twelfth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO4 tetrahedra, a cornercorner with one VO5 trigonal bipyramid, corners with two equivalent LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 1.96–2.24 Å. In the thirteenth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one VO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. In the fourteenth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two VO6 octahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.48 Å. In the fifteenth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one VO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.29 Å. In the sixteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one VO5 trigonal bipyramid, an edgeedge with one VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.88–2.08 Å. In the seventeenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two equivalent VO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 1.97–2.09 Å. In the eighteenth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two VO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the nineteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with two LiO5 trigonal bipyramids, corners with three VO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.14 Å. There are eight inequivalent V sites. In the first V site, V is bonded to five O atoms to form distorted VO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.81–2.03 Å. In the second V site, V is bonded to five O atoms to form VO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.82–2.04 Å. In the third V site, V is bonded to five O atoms to form VO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.82–2.02 Å. In the fourth V site, V is bonded to five O atoms to form VO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.81–2.01 Å. In the fifth V site, V is bonded to six O atoms to form distorted VO6 octahedra that share corners with four LiO4 tetrahedra and edges with three LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.99–2.21 Å. In the sixth V site, V is bonded to five O atoms to form VO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.78–2.03 Å. In the seventh V site, V is bonded to six O atoms to form distorted VO6 octahedra that share corners with three LiO4 tetrahedra and edges with three LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.98–2.19 Å. In the eighth V site, V is bonded to six O atoms to form distorted VO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.97–2.45 Å. There are sixteen inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the second B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.44 Å) B–O bond length. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.34 Å) and two longer (1.41 Å) B–O bond length. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the eighth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the ninth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.41 Å) B–O bond length. In the tenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the eleventh B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the twelfth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the thirteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.42 Å) B–O bond length. In the fourteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the sixteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one B atom. In the second O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one B atom. In the third O site, O is bonded to two Li, one V, and one B atom to form distorted corner-sharing OLi2VB tetrahedra. In the fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one V, and one B atom. In the fifth O site, O is bonded to three Li, one V, and one B atom to form a mixture of distorted edge and corner-sharing OLi3VB trigonal bipyramids. In the sixth O site, O is bonded in a 4-coordinate geometry to two Li, one V, and one B atom. In the seventh O site, O is bonded in a 4-coordinate geometry to two Li, one V, and one B atom. In the eighth O site, O is bonded in a trigonal planar geometry to one Li, one V, and one B atom. In the ninth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one B atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Fe4(P2O7)4 by Materials Project

Li7Fe4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.28 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–1.97 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.54 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.23 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.34 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.48 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.76 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.37 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.09–2.32 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.96–2.12 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.93–2.28 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.05–2.22 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.31 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 19–57°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 32–51°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one P5+ atom. In the fourth O2-

36 MATERIALS SCIENCE↗

Materials Data on Nd8Re11O38 by Materials Project

Nd8Re11O38 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.88 Å. In the second Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.42–2.88 Å. In the third Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–3.03 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.96 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.90 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.42–2.88 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.95 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–3.00 Å. In the ninth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–3.02 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.92 Å. In the eleventh Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.96 Å. In the twelfth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.93 Å. In the thirteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.97 Å. In the fourteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.92 Å. In the fifteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.98 Å. In the sixteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.44–2.89 Å. There are twenty-two inequivalent Re+4.73+ sites. In the first Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.98–2.03 Å. In the second Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Re–O bond distances ranging from 1.98–2.02 Å. In the third Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Re–O bond distances ranging from 1.98–2.02 Å. In the fourth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.97–2.03 Å. In the fifth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Re–O bond distances ranging from 1.87–2.07 Å. In the sixth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.88–2.08 Å. In the seventh Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Re–O bond distances ranging from 1.84–2.02 Å. In the eighth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.89–2.08 Å. In the ninth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Re–O bond distances ranging from 1.87–2.08 Å. In the tenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.97–2.04 Å. In the eleventh Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Re–O bond distances ranging from 1.97–2.03 Å. In the twelfth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Re–O bond distances ranging from 1.97–2.02 Å. In the thirteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Re–O bond distances ranging from 1.99–2.02 Å. In the fourteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.99–2.02 Å. In the fifteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.88–2.10 Å. In the sixteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.98–2.03 Å. In the seventeenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Re–O bond distances ranging from 1.84–2.02 Å. In the eighteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Re–O bond distances ranging from 1.87–2.07 Å. In the nineteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Re–O bond distances ranging from 1.87–2.07 Å. In the twentieth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.98–2.03 Å. In the twenty-first Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.89–2.10 Å. In the twenty-second Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Re–O bond distances ranging from 1.98–2.02 Å. There are seventy-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a tetrahedral geometry to four Nd3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Nd3+ and two Re+4.73+ atoms. In the tenth O2- site, O2- is bonded in a tetrahedral geometry to four Nd3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-ninth O2- site, O2- is bonded in a tetrahedral geometry to four Nd3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two N

36 MATERIALS SCIENCE↗

Materials Data on K3Na(B3O5)4 by Materials Project

K3Na(B3O5)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.81–2.99 Å. In the second K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.81–2.96 Å. In the third K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.81–3.45 Å. In the fourth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.81–2.96 Å. In the fifth K1+ site, K1+ is bonded in a 4-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.77–3.39 Å. In the sixth K1+ site, K1+ is bonded in a 4-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.77–3.42 Å. In the seventh K1+ site, K1+ is bonded in a 4-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.77–3.40 Å. In the eighth K1+ site, K1+ is bonded in a 4-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.77–3.41 Å. In the ninth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.52–2.84 Å. There are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.88 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.87 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.88 Å. There are thirty-six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the second B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the third B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.48 Å) and two longer (1.49 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.36 Å) and one longer (1.41 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the thirteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the fourteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the fifteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the sixteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the seventeenth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.48–1.50 Å. In the eighteenth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.46–1.49 Å. In the nineteenth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.48 Å) and two longer (1.50 Å) B–O bond length. In the twentieth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.48–1.50 Å. In the twenty-first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the twenty-second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the twenty-third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the twenty-fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the twenty-fifth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the twenty-sixth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.47–1.50 Å. In the twenty-seventh B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the twenty-eighth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the twenty-ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the thirtieth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the thirty-first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the thirty-second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the thirty-third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the thirty-fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the thirty-fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the thirty-sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two B3+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two B3+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two B3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+ and two B3+ atoms. In the thirty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Na1+, and two B3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Na1+, and two B3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the fortieth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the forty-first

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.33 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.25 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.32 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.31 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.24 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.41 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.25 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.34 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.40 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.09–2.21 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.05–2.26 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.32 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.38 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.09–2.21 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.04–2.23 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.14–2.32 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.50–1.65 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one P5+ atom to form distorted corner-shar

36 MATERIALS SCIENCE↗

Materials Data on Li4Zn(PS4)2 by Materials Project

Li4Zn(PS4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.55–2.62 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.53–2.66 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.57–2.59 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.65 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.69 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.50–2.71 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.54–2.65 Å. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.50–2.60 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.42 Å. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with eight LiS4 tetrahedra. There are one shorter (2.38 Å) and three longer (2.40 Å) Li–S bond lengths. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.45 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.36–2.44 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are one shorter (2.36 Å) and three longer (2.41 Å) Li–S bond lengths. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.46 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.46 Å. In the sixteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.44 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.47 Å. In the eighteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.45 Å. In the nineteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.44 Å. In the twenty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.45 Å. In the twenty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.42 Å. In the twenty-third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.47 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.50 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.44–2.53 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.47 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are one shorter (2.44 Å) and three longer (2.45 Å) Li–S bond lengths. In the twenty-ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.49 Å. In the thirtieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.47 Å. In the thirty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.49 Å. In the thirty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.49 Å. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.42 Å. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.32–2.40 Å. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.36 Å) and one longer (2.40 Å) Zn–S bond lengths. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.36 Å) and one longer (2.39 Å) Zn–S bond lengths. In the eighth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.38 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with ten LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.12 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with ten LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.04–2.10 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.11 Å. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with nine LiS4 tetrahedra. There are one shorter (2.02 Å) and three longer (2.07 Å) P–S bond lengths. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetra

36 MATERIALS SCIENCE↗

Materials Data on Li47(CoO4)8 by Materials Project

Li47(CoO4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are forty-seven inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with nine LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.13 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.10 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.10 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with ten LiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with ten LiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. In the ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.09 Å. In the tenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.12 Å. In the eleventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.09 Å. In the twelfth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. In the thirteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the fourteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.01–2.09 Å. In the fifteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the sixteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the seventeenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with eight LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the eighteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with nine LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.07 Å. In the nineteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.13 Å. In the twentieth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.11 Å. In the twenty-first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.13 Å. In the twenty-second Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.10 Å. In the twenty-third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the twenty-fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the twenty-fifth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with nine LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the twenty-sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.24 Å. In the twenty-seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.11 Å. In the twenty-eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the twenty-ninth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.18 Å. In the thirtieth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with eight LiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the thirty-first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with ten LiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.21 Å. In the thirty-second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the thirty-third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.14 Å. In the thirty-fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the thirty-fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the thirty-sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the thirty-seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.02–2.07 Å. In the thirty-eighth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.93–2.16 Å. In the thirty-ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that s

36 MATERIALS SCIENCE↗

Materials Data on Bi19(S9I)3 by Materials Project

Bi19S27I3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.19 Å. In the second Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.50 Å. In the third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.57 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.58 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.18 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.50 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.58 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.18 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.57 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.20 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.20 Å. In the fourteenth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.50 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.56 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.50 Å. In the seventeenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.67–3.57 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.21 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.90–2.93 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.88–2.95 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.93 Å. Both Bi–I bond lengths are 3.63 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.96 Å. There are one shorter (3.61 Å) and one longer (3.63 Å) Bi–I bond lengths. In the twenty-third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.96 Å. There are one shorter (3.61 Å) and one longer (3.66 Å) Bi–I bond lengths. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.60 Å) and one longer (3.66 Å) Bi–I bond lengths. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. Both Bi–I bond lengths are 3.63 Å. In the twenty-sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.96 Å. There are one shorter (3.60 Å) and one longer (3.62 Å) Bi–I bond lengths. In the twenty-seventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.96 Å. There are one shorter (3.60 Å) and one longer (3.63 Å) Bi–I bond lengths. In the twenty-eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.97 Å. There are one shorter (3.60 Å) and one longer (3.66 Å) Bi–I bond lengths. In the twenty-ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.93 Å. There are one shorter (3.62 Å) and one longer (3.63 Å) Bi–I bond lengths. In the thirtieth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.60 Å) and one longer (3.64 Å) Bi–I bond lengths. In the thirty-first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.93 Å. There are one shorter (3.63 Å) and one longer (3.65 Å) Bi–I bond lengths. In the thirty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.98 Å. There are one shorter (3.62 Å) and one longer (3.64 Å) Bi–I bond lengths. In the thirty-third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.93 Å. There are one shorter (3.63 Å) and one longer (3.64 Å) Bi–I bond lengths. In the thirty-fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.99 Å. There are one shorter (3.61 Å) and one longer (3.65 Å) Bi–I bond lengths. In the thirty-fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.96 Å. There are one shorter (3.60 Å) and one longer (3.63 Å) Bi–I bond lengths. In the thirty-sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.98 Å. There are one shorter (3.61 Å) and one longer (3.64 Å) Bi–I bond lengths. In the thirty-seventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.96 Å. There are one shorter (3.60 Å) and one longer (3.63 Å) Bi–I bond lengths. In the thirty-eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- and two I1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.93 Å. There are one shorter (3.63 Å) and one longer (3.64 Å) Bi–I bond lengths. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with four SBi5 square pyramids, corners with two SBi4 tetrahedra, an edgeedge with one SBi5 square pyramid, and edges with two SBi4 tetrahedra. In the second S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the third S2- site, S2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the fourth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with three SBi5 square pyramids, a cornercorner with one SBi4 tetrahedra, and an edgeedge with one SBi5 square pyramid. In the sixth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with four SBi5 square pyramids, corners with four SBi4 tetrahedra, and an edgeedge with one SBi4 tetrahedra. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eighth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with four SBi5 square pyramids, corners with three SBi4 tetrahedra, an edgeedge with one SBi5 square pyramid, and an edgeedge with one SBi4 tetrahedra. In the ninth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eleventh S2- site, S2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the twelfth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fourteenth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with three SBi5 square pyramids, corners with two SBi4 tetrahedra, an edgeedge with one SBi5 square pyramid, and edges with two SBi4 tetrahedra. In the fifteenth S2- site, S2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the seventeenth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the eighteenth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with four SBi5 square pyramids, corners with two SBi4 tetrahedra, an edgeedge with one SBi5 square pyramid, and edges with two SBi4 tetrahedra. In the nineteenth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share a cornercorner with one SBi4 tetrahedra and edges with four SBi5 square pyramids. In the twentieth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share a cornercorner with one SBi4 tetrahedra, edges with four SBi5 square pyramids, and an edgeedge with one SBi4 tetrahedra. In the twenty-first S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with two SBi4 tetrahedra and edges with four SBi5 square pyramids. In the twenty-second S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with two SBi4 tetrahedra and edges with three SBi5 square pyramids. In the twenty-third S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share a cornercorner with one SBi4 tetrahedra, edges with two SBi5 square pyramids, and an edgeedge with one SBi4 tetrahedra. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-fifth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share a cornercorner with one SBi4 tetrahedra, edges with four SBi5 square pyramids, and an edgeedge with one SBi4 tetrahedra. In the twenty-sixth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with two SBi4 tetrahedra and edges with four SBi5 square pyramids. In the twenty-seventh S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share a c

36 MATERIALS SCIENCE↗

Materials Data on Nd19Ti20O60 by Materials Project

Nd19Ti20O60 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Nd sites. In the first Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.76 Å. In the second Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.75 Å. In the third Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the fourth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.70 Å. In the fifth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.74 Å. In the sixth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.78 Å. In the seventh Nd site, Nd is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.74 Å. In the eighth Nd site, Nd is bonded in a 9-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.45–2.76 Å. In the ninth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.74 Å. In the tenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.73 Å. In the eleventh Nd site, Nd is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.91 Å. In the twelfth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.72 Å. In the thirteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.72 Å. In the fourteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.75 Å. In the fifteenth Nd site, Nd is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Nd–O bond distances ranging from 2.37–3.21 Å. In the sixteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the seventeenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the eighteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.72 Å. In the nineteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.73 Å. There are twenty inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the second Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–32°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the third Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–30°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. In the fourth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the fifth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–30°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the sixth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–31°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the seventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–31°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the eighth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–29°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the ninth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Ti–O bond distances ranging from 2.00–2.04 Å. In the tenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–31°. There are a spread of Ti–O bond distances ranging from 1.95–2.09 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are three shorter (2.02 Å) and three longer (2.03 Å) Ti–O bond lengths. In the fourteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–31°. There are a spread of Ti–O bond distances ranging from 1.95–2.08 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of Ti–O bond distances ranging from 2.01–2.06 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. In the twentieth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. There are sixty inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the second O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the third O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the sixth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the seventh O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the tenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the eleventh O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirteenth O site, O is bonded in a distorted T-shaped geometry to two Nd and two Ti atoms. In the fourteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the sixteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the seventeenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the nineteenth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Nd and two Ti atoms. In the twenty-second O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-third O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-fourth O site, O is bonded to two Nd and two Ti atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the twenty-fifth O site, O is bonded in a 4-coordinate geometry to three Nd and two Ti atoms. In the twenty-sixth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-seventh O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-eighth O site, O is bonded to two Nd and two Ti atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the twenty-ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirtieth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-first O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-second O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-third O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-sixth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-seventh O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-eighth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the fortieth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the forty-first O site, O is bonded to two Nd and two Ti atoms to form distorted corner-sharing ONd2Ti2 trigonal pyramids. In the forty-second O site, O is bonded in a 3-coordinate geometry to two Nd and two Ti atoms. In the forty-third O site, O is bonded to two Nd and two Ti atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the forty-fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the forty-fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the forty-sixth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the forty-seventh O si

36 MATERIALS SCIENCE↗

Materials Data on Lu12Co31Sn16 by Materials Project

Lu12Co31Sn16 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Lu sites. In the first Lu site, Lu is bonded in a 12-coordinate geometry to six Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.35 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.23 Å. In the second Lu site, Lu is bonded in a 11-coordinate geometry to six Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 3.00–3.51 Å. There are a spread of Lu–Sn bond distances ranging from 3.10–3.24 Å. In the third Lu site, Lu is bonded in a 12-coordinate geometry to six Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 3.01–3.37 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.24 Å. In the fourth Lu site, Lu is bonded in a 11-coordinate geometry to five Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.09 Å. There are a spread of Lu–Sn bond distances ranging from 3.10–3.25 Å. In the fifth Lu site, Lu is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.52 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.24 Å. In the sixth Lu site, Lu is bonded in a 11-coordinate geometry to seven Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.98–3.52 Å. There are a spread of Lu–Sn bond distances ranging from 3.11–3.25 Å. In the seventh Lu site, Lu is bonded in a 11-coordinate geometry to seven Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.49 Å. There are a spread of Lu–Sn bond distances ranging from 3.11–3.26 Å. In the eighth Lu site, Lu is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.98–3.51 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.25 Å. There are twenty-three inequivalent Co sites. In the first Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with four SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.64 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.72 Å. In the second Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with four SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.63 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.71 Å. In the third Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with five SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.54 Å. There are one shorter (2.61 Å) and two longer (2.64 Å) Co–Sn bond lengths. In the fourth Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with three SnLu4Co8 cuboctahedra, corners with four CoLu2Co7Sn3 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.53 Å. There are one shorter (2.63 Å) and two longer (2.71 Å) Co–Sn bond lengths. In the fifth Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with five SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.63 Å. There are a spread of Co–Sn bond distances ranging from 2.60–2.64 Å. In the sixth Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with two SnLu4Co8 cuboctahedra, corners with four CoLu2Co7Sn3 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.36–2.65 Å. There are a spread of Co–Sn bond distances ranging from 2.63–2.66 Å. In the seventh Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with five SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.56 Å. There are one shorter (2.59 Å) and two longer (2.62 Å) Co–Sn bond lengths. In the eighth Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, corners with four CoLu2Co7Sn3 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.35–2.56 Å. There are two shorter (2.64 Å) and one longer (2.67 Å) Co–Sn bond lengths. In the ninth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.61–2.78 Å. In the tenth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.46 Å. There are a spread of Co–Sn bond distances ranging from 2.61–2.77 Å. In the eleventh Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.50 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.76 Å. In the twelfth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.45 Å. There are a spread of Co–Sn bond distances ranging from 2.63–2.78 Å. In the thirteenth Co site, Co is bonded in a 12-coordinate geometry to two Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.48 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.76 Å. In the fourteenth Co site, Co is bonded in a 12-coordinate geometry to two Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.48 Å. There are a spread of Co–Sn bond distances ranging from 2.61–2.74 Å. In the fifteenth Co site, Co is bonded in a 12-coordinate geometry to two equivalent Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.63–2.75 Å. In the sixteenth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.72 Å. In the seventeenth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are two shorter (2.65 Å) and one longer (2.68 Å) Co–Sn bond lengths. In the eighteenth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share a cornercorner with one SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. All Co–Sn bond lengths are 2.65 Å. In the nineteenth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are two shorter (2.66 Å) and one longer (2.78 Å) Co–Sn bond lengths. In the twentieth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are one shorter (2.69 Å) and two longer (2.77 Å) Co–Sn bond lengths. In the twenty-first Co site, Co is bonded in a 10-coordinate geometry to six Lu and four Sn atoms. There are three shorter (2.48 Å) and one longer (2.64 Å) Co–Sn bond lengths. In the twenty-second Co site, Co is bonded in a 10-coordinate geometry to six Lu and four Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.48–2.64 Å. In the twenty-third Co site, Co is bonded in a 10-coordinate geometry to six Lu and four Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.48–2.61 Å. There are twelve inequivalent Sn sites. In the first Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with six SnLu4Co8 cuboctahedra, and faces with eight CoLu2Co7Sn3 cuboctahedra. In the second Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with six SnLu4Co8 cuboctahedra, and faces with eight CoLu2Co7Sn3 cuboctahedra. In the third Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with four equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with eight CoCo9Sn3 cuboctahedra, and faces with eight SnLu4Co8 cuboctahedra. In the fourth Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with six CoCo9Sn3 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. In the fifth Sn site, Sn is bonded to four Lu and eight Co atoms to form SnLu4Co8 cuboctahedra that share corners with four SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with seven SnLu4Co8 cuboctahedra, and faces with eight CoLu2Co7Sn3 cuboctahedra. In the sixth Sn site, Sn is bonded in a 11-coordinate geometry to four Lu and seven Co atoms. In the seventh Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with four equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with six SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. In the eighth Sn site, Sn is bonded in a 11-coordinate geometry to four Lu and seven Co atoms. In the ninth Sn site, Sn is bonded in a 10-coordinate geometry to six Lu and four Co atoms. In the tenth Sn site, Sn is bonded in a 10-coordinate geometry to six Lu and four Co atoms. In the eleventh Sn site, Sn is bonded in a 10-coordinate geometry to six Lu and four Co atoms. In the twelfth Sn site, Sn is bonded in a 9-coordinate geometry to six Lu and three Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi19(S9Br)3 by Materials Project

Bi19S27Br3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.96 Å. There are one shorter (3.52 Å) and one longer (3.57 Å) Bi–Br bond lengths. In the second Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.51 Å) and one longer (3.53 Å) Bi–Br bond lengths. In the third Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.94 Å. Both Bi–Br bond lengths are 3.54 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.52 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the fifth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.93 Å. Both Bi–Br bond lengths are 3.54 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.96 Å. There are one shorter (3.52 Å) and one longer (3.57 Å) Bi–Br bond lengths. In the seventh Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.93 Å. Both Bi–Br bond lengths are 3.54 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.95 Å. There are one shorter (3.52 Å) and one longer (3.57 Å) Bi–Br bond lengths. In the ninth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.52 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the tenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.52 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the eleventh Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.92 Å. There are one shorter (3.54 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the twelfth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.51 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the thirteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.52 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the fourteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.52 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the fifteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.93 Å. There are one shorter (3.54 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the sixteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.92 Å. There are one shorter (3.54 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the seventeenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.51 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the eighteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.52 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the nineteenth Bi3+ site, Bi3+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.88–2.92 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.87–2.94 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.56 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.14 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.14 Å. In the twenty-sixth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.56 Å. In the twenty-seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.14 Å. In the twenty-eighth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.55 Å. In the twenty-ninth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the thirtieth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.48 Å. In the thirty-first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.15 Å. In the thirty-second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.55 Å. In the thirty-third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.55 Å. In the thirty-fourth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.49 Å. In the thirty-fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.16 Å. In the thirty-sixth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.16 Å. In the thirty-seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.55 Å. In the thirty-eighth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.47 Å. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the fifth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the ninth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the eleventh S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twentieth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-first S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with three SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the twenty-second S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-sixth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the twenty-seventh S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-eighth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-ninth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-first S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the thirty-second S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-third S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-sixth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with three SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the thirty-seventh S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with two SBi5 square pyramids, corners with four SBi4 tetrahedra, and edges with two SBi4 tetrahedra. In the thirty-eighth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-ninth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with two SBi5 square pyramids, corners with four SBi4 tetrahedra

36 MATERIALS SCIENCE↗