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Materials Data on MgTi11O20 by Materials Project

MgTi11O20 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with four TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of Mg–O bond distances ranging from 2.02–2.18 Å. There are seven inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.21 Å. In the fourth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.20 Å. In the fifth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the sixth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the seventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–42°. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the second O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.45+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on GdErO3 by Materials Project

ErGdO3 is Spinel-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with three ErO6 octahedra, corners with three GdO6 octahedra, an edgeedge with one ErO6 octahedra, and edges with five GdO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Er–O bond distances ranging from 2.24–2.35 Å. In the second Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share a cornercorner with one ErO6 octahedra, corners with five GdO6 octahedra, edges with three ErO6 octahedra, and edges with three GdO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Er–O bond distances ranging from 2.24–2.35 Å. In the third Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with two equivalent ErO6 octahedra, corners with four GdO6 octahedra, edges with two equivalent GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are four shorter (2.25 Å) and two longer (2.35 Å) Er–O bond lengths. In the fourth Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with two equivalent GdO6 octahedra, corners with four ErO6 octahedra, edges with two equivalent ErO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Er–O bond distances ranging from 2.25–2.33 Å. In the fifth Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with three ErO6 octahedra, corners with three GdO6 octahedra, edges with three ErO6 octahedra, and edges with three GdO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Er–O bond distances ranging from 2.23–2.35 Å. There are five inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form GdO6 octahedra that share corners with two GdO6 octahedra, corners with four ErO6 octahedra, edges with two GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Gd–O bond distances ranging from 2.32–2.34 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with three ErO6 octahedra, corners with three GdO6 octahedra, edges with three ErO6 octahedra, and edges with three GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Gd–O bond distances ranging from 2.27–2.39 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two equivalent ErO6 octahedra, corners with four GdO6 octahedra, edges with two equivalent GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are four shorter (2.29 Å) and two longer (2.40 Å) Gd–O bond lengths. In the fourth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two equivalent GdO6 octahedra, corners with four ErO6 octahedra, edges with two equivalent ErO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the fifth Gd3+ site, Gd3+ is bonded to six O2- atoms to form GdO6 octahedra that share corners with two GdO6 octahedra, corners with four ErO6 octahedra, edges with two GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Gd–O bond distances ranging from 2.32–2.34 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Er3+ and three Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd3Er trigonal pyramids. In the second O2- site, O2- is bonded to three Er3+ and one Gd3+ atom to form distorted OGdEr3 trigonal pyramids that share a cornercorner with one OGd3Er tetrahedra, corners with eleven OGd3Er trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids. In the third O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with two equivalent OGd3Er tetrahedra, corners with ten OGd2Er2 trigonal pyramids, and edges with four OGd3Er trigonal pyramids. In the fourth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Er2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Er3+ and three Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd3Er tetrahedra. In the sixth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Er2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Er3+ and three Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd3Er trigonal pyramids. In the eighth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with twelve OGd3Er trigonal pyramids, edges with two equivalent OGd3Er tetrahedra, and edges with two OGd2Er2 trigonal pyramids. In the ninth O2- site, O2- is bonded to three Er3+ and one Gd3+ atom to form distorted OGdEr3 trigonal pyramids that share a cornercorner with one OGd3Er tetrahedra, corners with eleven OGd3Er trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with two equivalent OGd3Er tetrahedra, corners with ten OGd2Er2 trigonal pyramids, and edges with four OGd3Er trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with two equivalent OGd3Er tetrahedra, corners with ten OGd2Er2 trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Er3+ and one Gd3+ atom to form distorted OGdEr3 trigonal pyramids that share a cornercorner with one OGd3Er tetrahedra, corners with eleven OGd3Er trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Bi24Br10O31 by Materials Project

Bi24O31Br10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- and three Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.15 Å. There are a spread of Bi–Br bond distances ranging from 3.47–3.51 Å. In the second Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- and three Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.17 Å. There are a spread of Bi–Br bond distances ranging from 3.45–3.66 Å. In the third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.43 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–3.10 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.32 Å. There are a spread of Bi–Br bond distances ranging from 3.49–3.53 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- and one Br1- atom. There are a spread of Bi–O bond distances ranging from 2.18–2.41 Å. The Bi–Br bond length is 3.59 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- and two Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.80 Å. There are one shorter (3.33 Å) and one longer (3.58 Å) Bi–Br bond lengths. In the eighth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- and two Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.89 Å. There are one shorter (3.33 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the ninth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.42 Å. There are a spread of Bi–Br bond distances ranging from 3.48–3.68 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.41 Å. There are a spread of Bi–Br bond distances ranging from 3.52–3.65 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.32 Å. There are a spread of Bi–Br bond distances ranging from 3.30–3.41 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.32 Å. There are a spread of Bi–Br bond distances ranging from 3.37–3.48 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.29 Å. There are one shorter (3.39 Å) and one longer (3.40 Å) Bi–Br bond lengths. In the fourteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.29 Å. There are a spread of Bi–Br bond distances ranging from 3.39–3.64 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.37 Å. There are a spread of Bi–Br bond distances ranging from 3.51–3.62 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.39 Å. There are a spread of Bi–Br bond distances ranging from 3.43–3.59 Å. In the seventeenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.73 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- and one Br1- atom. There are a spread of Bi–O bond distances ranging from 2.20–2.81 Å. The Bi–Br bond length is 3.55 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- and one Br1- atom. There are a spread of Bi–O bond distances ranging from 2.16–2.49 Å. The Bi–Br bond length is 3.68 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.34 Å. There are a spread of Bi–Br bond distances ranging from 3.42–3.55 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Bi–O bond distances ranging from 2.26–3.08 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.64 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.07 Å) and one longer (2.09 Å) Bi–O bond lengths. There are a spread of Bi–Br bond distances ranging from 3.07–3.38 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a distorted L-shaped geometry to two O2- and four Br1- atoms. There are one shorter (2.07 Å) and one longer (2.10 Å) Bi–O bond lengths. There are a spread of Bi–Br bond distances ranging from 3.17–3.56 Å. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ and one Br1- atom. The O–Br bond length is 3.65 Å. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ and one Br1- atom. The O–Br bond length is 3.61 Å. In the sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to four Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ and one Br1- atom. The O–Br bond length is 3.41 Å. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ and one Br1- atom. The O–Br bond length is 3.52 Å. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to four Bi3+ atoms. In the thirteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Bi3+ and one Br1- atom to form a mixture of distorted edge and corner-sharing OBi4Br tetrahedra. The O–Br bond length is 3.68 Å. In the twenty-first O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ and one Br1- atom. The O–Br bond length is 3.58 Å. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. There are ten inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a 7-coordinate geometry to six Bi3+ and one O2- atom. In the second Br1- site, Br1- is bonded in a 7-coordinate geometry to six Bi3+ and one O2- atom. In the third Br1- site, Br1- is bonded in a 8-coordinate geometry to five Bi3+ atoms. In the fourth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Bi3+ and three O2- atoms. In the fifth Br1- site, Br1- is bonded in a 6-coordinate geometry to six Bi3+ atoms. In the sixth Br1- site, Br1- is bonded in a 6-coordinate geometry to six Bi3+ atoms. In the seventh Br1- site, Br1- is bonded in a 8-coordinate geometry to three Bi3+ atoms. In the eighth Br1- site, Br1- is bonded in a 9-coordinate geometry to eight Bi3+ and one O2- atom. In the ninth Br1- site, Br1- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the tenth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on YTmO3 by Materials Project

TmYO3 is Spinel-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the third Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two equivalent TmO6 octahedra, corners with four YO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Tm–O bond distances ranging from 2.23–2.32 Å. In the fourth Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four TmO6 octahedra, edges with two equivalent TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.23–2.31 Å. In the fifth Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. There are five inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four TmO6 octahedra, edges with two YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are four shorter (2.29 Å) and two longer (2.30 Å) Y–O bond lengths. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.25–2.35 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four TmO6 octahedra, edges with two equivalent TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.34 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent TmO6 octahedra, corners with four YO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four TmO6 octahedra, edges with two YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are four shorter (2.29 Å) and two longer (2.30 Å) Y–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OY3Tm trigonal pyramids. In the second O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form distorted OYTm3 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the third O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with two equivalent OY3Tm tetrahedra, corners with ten OY2Tm2 trigonal pyramids, and edges with four OY3Tm trigonal pyramids. In the fourth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm tetrahedra that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY2Tm2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OY2Tm2 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, edges with two equivalent OY3Tm tetrahedra, and edges with two OY2Tm2 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OY3Tm trigonal pyramids. In the ninth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form distorted OYTm3 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with two equivalent OY3Tm tetrahedra, corners with ten OY2Tm2 trigonal pyramids, and edges with four OY3Tm trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with two equivalent OY3Tm tetrahedra, corners with ten OY2Tm2 trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form distorted OYTm3 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mn2OF3 by Materials Project

Mn2OF3 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnF6 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are one shorter (2.01 Å) and one longer (2.04 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.10–2.14 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are one shorter (2.03 Å) and one longer (2.04 Å) Mn–O bond lengths. There are two shorter (2.06 Å) and two longer (2.15 Å) Mn–F bond lengths. In the third Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are one shorter (2.07 Å) and one longer (2.09 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.09–2.16 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnF6 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. Both Mn–O bond lengths are 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.16 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There is one shorter (1.95 Å) and one longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.08–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnF6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. Both Mn–O bond lengths are 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.13 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to six F1- atoms to form a mixture of corner and edge-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–F bond distances ranging from 2.02–2.14 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. The Mn–O bond length is 1.94 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.13 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnF6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There is one shorter (1.98 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.10–2.12 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to six F1- atoms to form a mixture of corner and edge-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Mn–F bond distances ranging from 2.04–2.14 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. There are fifteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr16Mn8O29 by Materials Project

Sr16Mn8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.86 Å. In the second Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one MnO5 square pyramid, edges with two equivalent SrO7 pentagonal bipyramids, and edges with four MnO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.45–2.67 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.90 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.78 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.71 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.88 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.77 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.85 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.89 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.79 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–2.85 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.78 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.77 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.85 Å. In the fifteenth Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one MnO5 square pyramid, edges with two equivalent SrO7 pentagonal bipyramids, and edges with four MnO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.47–2.67 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.87 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one SrO7 pentagonal bipyramid, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra and corners with two MnO5 square pyramids. The corner-sharing octahedral tilt angles are 11°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra and corners with two MnO5 square pyramids. The corner-sharing octahedral tilt angles are 11°. There are a spread of Mn–O bond distances ranging from 1.90–2.03 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with three MnO5 square pyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with three MnO5 square pyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one SrO7 pentagonal bipyramid, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with six OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the second O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 6–58°. In the third O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with ten OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fourth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr5Mn octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 6–57°. In the fifth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with eight OSr4Mn2 octahedra and edges with seven OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 4–64°. In the sixth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with eight OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and faces with two OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the ninth O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with twelve OSr5Mn octahedra, an edgeedge with one OSr4Mn2 octahedra, and faces with four OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 43–64°. In the tenth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Mn+3.25+ atom. In the twelfth O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with eleven OSr5Mn octahedra and faces with five OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the sixteenth O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with twelve OSr5Mn octahedra, an edgeedge with one OSr4Mn2 octahedra, and faces with four OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the nineteenth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the twentieth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with nine OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 6–56°. In the twenty-first O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with eleven OSr5Mn octahedra, edges with two OSr4Mn2 octahedra, and faces with four OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 43–59°. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the twenty-fourth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with nine OSr4Mn2 octahedra and edges with eight OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 5–63°. In the twenty-fifth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and faces with two OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the twenty-sixth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the twenty-seventh O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the twenty-eighth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with eight OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The cor

36 MATERIALS SCIENCE↗

Materials Data on Li11(CoO4)2 by Materials Project

Li11(CoO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-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 CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.99–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are three shorter (2.06 Å) and one longer (2.07 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with eight LiO4 trigonal pyramids, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.11 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with six LiO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.88–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with eight LiO4 trigonal pyramids, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.11 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with six LiO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.88–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.04–2.08 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.10 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.03 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with six LiO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.87–2.03 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with eight LiO4 trigonal pyramids, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with six LiO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.88–2.04 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with eight LiO4 trigonal pyramids, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.11 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.17 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.18 Å. In the twenty-first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There is two shorter (1.89 Å) and two longer (2.02 Å) Li–O bond length. In the twenty-second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are two shorter (1.98 Å) and two longer (2.11 Å) Li–O bond lengths. There are four inequivalent Co+2.50+ sites. In the first Co+2.50+ site, Co+2.50+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with fourteen LiO4 tetrahedra and edges with four LiO4 trigonal pyramids. There is two shorter (1.89 Å) and two longer (1.91 Å) Co–O bond length. In the second Co+2.50+ site, Co+2.50+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with fourteen LiO4 tetrahedra and edges with four LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the third Co+2.50+ site, Co+2.50+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with eight LiO4 tetrahedra, corners with eight LiO4 trigonal pyramids, and edges with three LiO4 tetrahedra. There are two shorter (1.97 Å) and two longer (2.04 Å) Co–O bond lengths. In the fourth Co+2.50+ site, Co+2.50+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with eight LiO4 tetrahedra, corners with eight LiO4 trigonal pyramids, and edges with three LiO4 tetrahedra. There are two shorter (1.96 Å) and two longer (2.04 Å) Co–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to six Li1+ and one Co+2.50+ atom to form distorted OLi6Co pentagonal bipyramids that share corners with two OLi5Co octahedra, a cornercorner with one OLi6Co pentagonal bipyramid, edges with two OLi5Co octahedra, edges with five OLi6Co pentagonal bipyramids, and edges with two OLi5Co pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–60°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.50+ atom to form distorted OLi5Co octahedra that share corners with two OLi5Co octahedra, corners with two OLi6Co pentagonal bipyramids, corners with two OLi5Co pentagonal pyramids, edges with four OLi6Co pentagonal bipyramids, and edges with two OLi5Co pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–69°. In the third O2- site, O2- is bonded to six Li1+ and one Co+2.50+ atom to form distorted OLi6Co pentagonal bipyramids that share a cornercorner with one OLi6Co pentagonal bipyramid, corners with two OLi5Co pentagonal pyramids, edges with two OLi5Co octahedra, edges with five OLi6Co pentagonal bipyramids, and edges with two OLi5Co pentagonal pyramids. In the fourth O2- site, O2- is bonded to six Li1+ and one Co+2.50+ atom to form distorted OLi6Co pentagonal bipyramids that share a cornercorner with one OLi6Co pentagonal bipyramid, corners with two OLi5Co pentagonal pyramids, edges with two OLi5Co octahedra, edges with five OLi6Co pentagonal bipyramids, and edges with two OLi5Co pentagonal pyramids. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.50+ atom to form distorted OLi5Co pentagonal pyramids that share corners with two OLi5Co octahedra, corners with two OLi6Co pentagonal bipyramids, edges with two OLi5Co octahedra, edges with four OLi6Co pentagonal bipyramids, and an edgeedge with one OLi5Co pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co+2.50+ atom to form distorted OLi5Co pentagonal pyramids that share corners with two OLi5Co octahedra, corners with two OLi6Co pentagonal bipyramids, edges with two OLi5Co octahedra, edges with four OLi6Co pentagonal bipyramids, and an edgeedge with one OLi5Co pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. In the seventh O2- site, O2- is bonded to six Li1+ and one Co+2.50+ atom to form distorted OLi6Co pentagonal bipyramids that share corners with two OLi5Co octahedra, a cornercorner with one OLi6Co pentagonal bipyramid, edges with two OLi5Co octahedra, edges with five OLi6Co pentagonal bipyramids, and edges with two OLi5Co pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–59°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co+2.50+ atom to form distorted OLi5Co octahedra that share corners with two OLi5Co octahedra, corners with two OLi6Co pentagonal bipyramids, corners with two OLi5Co pentagonal pyramids, edges with four OLi6Co pentagonal bipyramids, a

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti(BO3)2 by Materials Project

Li2Ti(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, corners with two TiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.11 Å. In the second 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 1.85–2.21 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with two LiO5 trigonal bipyramids, corners with two equivalent TiO5 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 1.96–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one TiO5 trigonal bipyramid, an edgeedge with one TiO6 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 1.95–2.45 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.99–2.35 Å. In the sixth 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 1.90–2.69 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with three TiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form TiO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Ti–O bond distances ranging from 1.83–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to five O2- atoms to form TiO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Ti–O bond distances ranging from 1.86–2.00 Å. In the third Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Ti–O bond distances ranging from 1.82–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. In the 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 1.37–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. 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 1.37–1.39 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 1.34–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. 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 1.37–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one B3+ atom. In the third O2- site, O2- is bonded in a T-shaped geometry to one Li1+, one Ti4+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a water-like geometry to one Ti4+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Ti4+, and one B3+ atom to form distorted corner-sharing OLi2TiB tetrahedra. In the fifteenth O2- site, O2- is bonded to four Li1+ and one B3+ atom to form distorted corner-sharing OLi4B trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ti4+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Ti4+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Ti4+, and one B3+ atom to form distorted corner-sharing OLi2TiB trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li10Fe3Sb7O24 by Materials Project

Li10Fe3Sb7O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the 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 1.91–2.42 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are three shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.13 Å. In the fourth 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 1.88–2.20 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.69 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.47 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 1.96–2.51 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with seven SbO6 octahedra. The corner-sharing octahedra tilt angles range from 44–72°. There are a spread of Li–O bond distances ranging from 1.98–2.40 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 1.92–2.06 Å. In the tenth 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 1.94–2.31 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four SbO6 octahedra and edges with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Fe–O bond distances ranging from 1.96–2.32 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four SbO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent SbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Fe–O bond distances ranging from 2.11–2.29 Å. There are seven inequivalent Sb+4.14+ sites. In the first Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent SbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Sb–O bond distances ranging from 1.98–2.10 Å. In the second Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent SbO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Sb–O bond distances ranging from 2.11–2.45 Å. In the third Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with four FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Sb–O bond distances ranging from 1.94–2.18 Å. In the fourth Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent SbO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 31–67°. There are a spread of Sb–O bond distances ranging from 1.95–2.23 Å. In the fifth Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 41–67°. There are a spread of Sb–O bond distances ranging from 2.12–2.60 Å. In the sixth Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of Sb–O bond distances ranging from 1.97–2.23 Å. In the seventh Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Sb–O bond distances ranging from 1.96–2.11 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with two OLi2Sb2 tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, corners with two equivalent OLiFeSb2 trigonal pyramids, and an edgeedge with one OLi2FeSb2 trigonal bipyramid. In the second O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with two OLi2FeSb tetrahedra, corners with two OLi2FeSb2 trigonal bipyramids, a cornercorner with one OLiFe2Sb trigonal pyramid, an edgeedge with one OLiFeSb2 tetrahedra, and an edgeedge with one OLi2FeSb2 trigonal bipyramid. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+4.14+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 tetrahedra that share a cornercorner with one OLi2FeSb tetrahedra, corners with two OLi2FeSb2 trigonal bipyramids, corners with four OLiFeSb2 trigonal pyramids, an edgeedge with one OLi2FeSb2 trigonal bipyramid, and an edgeedge with one OLiFeSb2 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 trigonal pyramids that share a cornercorner with one OLiFeSb2 tetrahedra, corners with two OLi2FeSb2 trigonal bipyramids, corners with two equivalent OLiFeSb2 trigonal pyramids, and edges with two OLi2FeSb2 trigonal bipyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+4.14+ atoms. In the seventh O2- site, O2- is bonded to two Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLi2FeSb2 trigonal bipyramids that share a cornercorner with one OLi2FeSb tetrahedra, corners with two OLiFeSb2 trigonal pyramids, and edges with two OLiFeSb2 trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLi2FeSb2 trigonal bipyramids that share a cornercorner with one OLiFeSb2 tetrahedra, a cornercorner with one OLi2Fe2Sb trigonal bipyramid, corners with three OLiFeSb2 trigonal pyramids, an edgeedge with one OLiFeSb2 tetrahedra, an edgeedge with one OLi2Fe2Sb trigonal bipyramid, and edges with two OLiFeSb2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Li1+, two Fe3+, and one Sb+4.14+ atom to form distorted OLi2Fe2Sb trigonal bipyramids that share corners with two OLi2FeSb tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, a cornercorner with one OLiFeSb2 trigonal pyramid, an edgeedge with one OLi2FeSb tetrahedra, an edgeedge with one OLi2FeSb2 trigonal bipyramid, and edges with two OLiFeSb2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe3+, and two Sb+4.14+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe3+, and two Sb+4.14+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Fe3+, and one Sb+4.14+ atom to form distorted OLiFe2Sb trigonal pyramids that share corners with four OLi2FeSb tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, a cornercorner with one OLiFeSb2 trigonal pyramid, and edges with two OLi2FeSb2 trigonal bipyramids. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the fourteenth O2- site, O2- is bonded to two Li1+, one Fe3+, and one Sb+4.14+ atom to form distorted OLi2FeSb tetrahedra that share corners with three OLi2Sb2 tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, corners with two equivalent OLiFe2Sb trigonal pyramids, and an edgeedge with one OLi2Fe2Sb trigonal bipyramid. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one Fe3+, and one Sb+4.14+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Sb+4.14+ atoms to form distorted OLi2Sb2 tetrahedra that share corners with three OLi2FeSb tetrahedra and a cornercorner with one OLiFeSb2 trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Fe3+, and one Sb+4.14+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the twentieth O2- site, O2- is bonded to two Li1+, one Fe3+, and one Sb+4.14+ atom to form distorted OLi2FeSb tetrahedra that share corners with five OLi2FeSb tetrahedra, a cornercorner with one OLi2Fe2Sb trigonal bipyramid, and corners with two OLiFeSb2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two Sb+4.14+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Sb+4.14+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Sb+4.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn12Ni4O31 by Materials Project

Li8Mn12Ni4O31 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the second 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 1.89–1.93 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with eight MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one NiO5 square pyramid. The corner-sharing octahedra tilt angles range from 55–66°. There is two shorter (1.98 Å) and two longer (2.00 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra, corners with seven MnO6 octahedra, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with eight MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one NiO5 square pyramid. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. There are twelve inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.86–1.98 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one NiO5 square pyramid, corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the tenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the eleventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two MnO6 octahedra, an edgeedge with one NiO5 square pyramid, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one NiO5 square pyramid, corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.07 Å. There are four inequivalent Ni+2.50+ sites. In the first Ni+2.50+ site, Ni+2.50+ is bonded to five O2- atoms to form NiO5 square pyramids that share corners with two MnO5 square pyramids, corners with five LiO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.06 Å. In the second Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Ni–O bond distances ranging from 2.06–2.10 Å. In the third Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are one shorter (2.08 Å) and five longer (2.09 Å) Ni–O bond lengths. In the fourth Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are three shorter (2.08 Å) and three longer (2.09 Å) Ni–O bond lengths. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni tetrahedra. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Ni tetrahedra, corners with six OLiMn3 trigonal pyramids, and edges with two OLiMn2Ni trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra and corners with five OLiMn2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with two OLiMn2Ni tetrahedra, corners with four OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 trigonal pyramids and an edgeedge with one OLiMn2Ni trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra and corners with six OLiMn2Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Ni tetrahedra, corners with five OLiMn3 trigonal pyramids, and an edgeedge with one OLiMn2Ni trigonal pyramid. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with five OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with three OLiMn2Ni tetrahedra, corners with three OLiMn2Ni trigonal pyramids, and edges with three OLiMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form a

36 MATERIALS SCIENCE↗

Materials Data on Li13Ti28O56 by Materials Project

Li13Ti28O56 is Spinel-like structured and crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Li–O bond distances ranging from 2.01–2.03 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are two shorter (2.01 Å) and two longer (2.02 Å) Li–O bond lengths. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. All Li–O bond lengths are 2.02 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are two shorter (2.01 Å) and two longer (2.02 Å) Li–O bond lengths. In the fifth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are three shorter (2.01 Å) and one longer (2.03 Å) Li–O bond lengths. There are ten inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.01 Å) and two longer (2.02 Å) Ti–O bond lengths. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.01 Å) and two longer (2.02 Å) Ti–O bond lengths. In the ninth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the tenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are two shorter (2.01 Å) and four longer (2.02 Å) Ti–O bond lengths. There are twenty inequivalent O sites. In the first O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the second O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the third O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the fourth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the fifth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the sixth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the seventh O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the eighth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the ninth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the tenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the eleventh O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the twelfth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the thirteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the fourteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the fifteenth O site, O is bonded to one Li and three equivalent Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the sixteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the seventeenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti atoms. In the eighteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the nineteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the twentieth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnFe2(BO3)3 by Materials Project

Li3MnFe2(BO3)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There is one shorter (1.98 Å) and three longer (2.01 Å) Li–O bond length. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are one shorter (2.10 Å) and four longer (2.18 Å) Mn–O bond lengths. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.18 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.18 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with ten OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with nine OLiFe2B tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted corner and edge-sharing OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted corner and edge-sharing OLiMn2B tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the eighteenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnFe(BO3)2 by Materials Project

Li2MnFe(BO3)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are one shorter (1.99 Å) and three longer (2.01 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are one shorter (2.10 Å) and four longer (2.18 Å) Mn–O bond lengths. There are three inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.18 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.18 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.18 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with nine OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Mn2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the eighteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li8Sc5Fe3(SiO3)16 by Materials Project

Li8Sc5Fe3(SiO3)16 is Esseneite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.66 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.69 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.67 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.65 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.69 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.69 Å. There are three inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ScO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.01–2.24 Å. In the second Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.01–2.26 Å. In the third Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.01–2.24 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent ScO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.24 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent ScO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.24 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent ScO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.21 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two ScO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–61°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two ScO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–59°. There is one shorter (1.63 Å) and three longer (1.65 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–59°. There is one shorter (1.63 Å) and three longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two ScO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–61°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three ScO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two ScO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–59°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two ScO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There is one shorter (1.63 Å) and three longer (1.65 Å) Si–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the second O2- site, O2- is bonded to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom to form distorted corner-sharing OLiScFeSi trigonal pyramids. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sc3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom to form a mixture of distorted edge and corner-sharing OLiScFeSi trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sc3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom to form a mixture of distorted edge and corner-sharing OLiScFeSi trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn7Fe(BO3)8 by Materials Project

Li8Mn7Fe(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 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 MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the seventh Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the 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 1.38–1.41 Å. In the 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 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnFe(BO3)2 by Materials Project

Li2MnFe(BO3)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six MnO5 trigonal bipyramids. There is one shorter (1.97 Å) and three longer (2.01 Å) Li–O bond length. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.20 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. There are three inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.17 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.18 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.18 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with ten OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the eighteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na4V2O5 by Materials Project

Na4V2O5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with two equivalent NaO5 square pyramids, edges with three VO5 square pyramids, and edges with three NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.35–2.44 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the third Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, corners with four VO5 square pyramids, corners with four NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the fourth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with three equivalent NaO5 square pyramids, corners with four VO5 square pyramids, corners with two NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with three VO5 square pyramids, and edges with four NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.44 Å. In the sixth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with two equivalent NaO5 square pyramids, edges with three VO5 square pyramids, and edges with three NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.33–2.43 Å. In the seventh Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.44 Å. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, corners with four VO5 square pyramids, corners with four NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. There are four inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one VO5 square pyramid, corners with eight NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.93–2.10 Å. In the second V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one VO5 square pyramid, corners with two equivalent NaO5 square pyramids, corners with six NaO5 trigonal bipyramids, edges with two equivalent VO5 square pyramids, and edges with six NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the third V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one VO5 square pyramid, corners with seven NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.95–2.08 Å. In the fourth V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one VO5 square pyramid, corners with seven NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.92–2.09 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. In the second O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–28°. In the third O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the fourth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–28°. In the fifth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. In the sixth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the seventh O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–28°. In the eighth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. In the ninth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. In the tenth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–28°.

36 MATERIALS SCIENCE↗

Materials Data on Na5Bi2P(CO4)4 by Materials Project

Na5Bi2P(CO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 85–87°. There are a spread of Na–O bond distances ranging from 2.25–2.71 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.69 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–87°. There are a spread of Na–O bond distances ranging from 2.31–2.69 Å. In the fourth 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 2.25–2.70 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the sixth 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 2.25–2.76 Å. In the seventh 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 2.25–2.75 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Na–O bond distances ranging from 2.31–2.68 Å. In the ninth 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 2.25–2.71 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Na–O bond distances ranging from 2.31–2.67 Å. In the eleventh 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 2.31–2.72 Å. In the twelfth 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 2.33–2.73 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Na–O bond distances ranging from 2.31–2.71 Å. In the fourteenth 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 2.25–2.71 Å. In the fifteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Na–O bond distances ranging from 2.31–2.69 Å. In the sixteenth 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 2.25–2.75 Å. In the seventeenth 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 2.25–2.75 Å. In the eighteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Na–O bond distances ranging from 2.31–2.65 Å. In the nineteenth 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 2.31–2.72 Å. In the twentieth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–85°. There are a spread of Na–O bond distances ranging from 2.31–2.65 Å. There are sixteen inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the tenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the eleventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the twelfth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the thirteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the fifteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the sixteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.44 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.46 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.44 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.32–2.45 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.38–2.40 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.44 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.44 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.37–2.40 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share edges with four NaO6 octahedra. All P–O bond lengths are 1.56 Å. In the second P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. All P–O bond lengths are 1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share edges with four NaO6 octahedra. All P–O bond lengths are 1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share an edgeedge with one NaO6 octahedra. All P–O bond lengths are 1.57 Å. There are sixty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+, one C4+, and one Bi3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the eighth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the ninth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the twenty-first

36 MATERIALS SCIENCE↗