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DOE OSTI2020

Materials Data on V7O13 by Materials Project

V7O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent V+3.71+ sites. In the first V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the second V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of V–O bond distances ranging from 1.97–2.08 Å. In the third V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of V–O bond distances ranging from 1.92–2.01 Å. In the fourth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of V–O bond distances ranging from 1.87–2.01 Å. In the fifth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of V–O bond distances ranging from 1.88–2.13 Å. In the sixth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of V–O bond distances ranging from 1.92–2.03 Å. In the seventh V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of V–O bond distances ranging from 1.77–2.18 Å. In the eighth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of V–O bond distances ranging from 1.79–2.16 Å. In the ninth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of V–O bond distances ranging from 1.95–2.11 Å. In the tenth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of V–O bond distances ranging from 1.97–2.14 Å. In the eleventh V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of V–O bond distances ranging from 1.75–2.13 Å. In the twelfth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of V–O bond distances ranging from 1.90–2.12 Å. In the thirteenth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of V–O bond distances ranging from 1.75–2.18 Å. In the fourteenth V+3.71+ site, V+3.71+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.79–2.19 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the fifteenth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the nineteenth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to four V+3.71+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the twenty-sixth O2- site, O2- is bonded to four V+3.71+ atoms to form distorted edge-sharing OV4 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Co9O17 by Materials Project

Li9Co9O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three CoO6 octahedra, corners with three CoO5 square pyramids, edges with four LiO6 octahedra, edges with five CoO6 octahedra, an edgeedge with one CoO5 square pyramid, and edges with two LiO5 square pyramids. The corner-sharing octahedral tilt angles are 5°. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with four CoO6 octahedra, corners with two LiO5 square pyramids, corners with three CoO5 square pyramids, edges with three CoO6 octahedra, edges with four LiO6 octahedra, and an edgeedge with one CoO5 square pyramid. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 1.98–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one CoO5 square pyramid, edges with four LiO6 octahedra, edges with four CoO6 octahedra, edges with two LiO5 square pyramids, and edges with two CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.12–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two CoO5 square pyramids, edges with three LiO6 octahedra, edges with four CoO6 octahedra, edges with two CoO5 square pyramids, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four CoO5 square pyramids, edges with four LiO6 octahedra, edges with five CoO6 octahedra, an edgeedge with one CoO5 square pyramid, and edges with two LiO5 square pyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Li–O bond distances ranging from 2.04–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with five CoO6 octahedra, corners with two LiO5 square pyramids, corners with two CoO5 square pyramids, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 1.96–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one CoO5 square pyramid, edges with three CoO6 octahedra, edges with five LiO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with three CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with three CoO6 octahedra, corners with two LiO5 square pyramids, corners with four CoO5 square pyramids, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 1.93–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one CoO5 square pyramid, edges with four LiO6 octahedra, edges with four CoO6 octahedra, edges with two LiO5 square pyramids, and edges with two CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.12–2.19 Å. There are nine inequivalent Co+2.78+ sites. In the first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO5 square pyramid, edges with three LiO6 octahedra, edges with five CoO6 octahedra, an edgeedge with one CoO5 square pyramid, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.98–2.08 Å. In the second Co+2.78+ site, Co+2.78+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with five LiO6 octahedra, corners with two LiO5 square pyramids, corners with two CoO5 square pyramids, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Co–O bond distances ranging from 1.88–2.06 Å. In the third Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, corners with four LiO5 square pyramids, edges with four CoO6 octahedra, edges with five LiO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with two CoO5 square pyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Co–O bond distances ranging from 2.00–2.08 Å. In the fourth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with two LiO5 square pyramids, edges with three CoO6 octahedra, edges with four LiO6 octahedra, edges with two LiO5 square pyramids, and edges with three CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Co–O bond distances ranging from 1.96–2.10 Å. In the fifth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO5 square pyramid, edges with four LiO6 octahedra, edges with four CoO6 octahedra, edges with two LiO5 square pyramids, and edges with two CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Co–O bond distances ranging from 1.97–2.08 Å. In the sixth Co+2.78+ site, Co+2.78+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with four LiO6 octahedra, corners with two CoO5 square pyramids, corners with three LiO5 square pyramids, edges with three LiO6 octahedra, edges with four CoO6 octahedra, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. In the seventh Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three LiO6 octahedra, corners with three LiO5 square pyramids, edges with four CoO6 octahedra, edges with five LiO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with two CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Co–O bond distances ranging from 1.99–2.12 Å. In the eighth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO5 square pyramid, edges with four LiO6 octahedra, edges with four CoO6 octahedra, edges with two LiO5 square pyramids, and edges with two CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.99–2.06 Å. In the ninth Co+2.78+ site, Co+2.78+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with three LiO6 octahedra, corners with two CoO5 square pyramids, corners with four LiO5 square pyramids, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Co–O bond distances ranging from 2.01–2.07 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the seventeenth O2- site, O2- is bonded to three Li1+ and three Co+2.78+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5Ti16O32 by Materials Project

Na5Ti16O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.19–2.49 Å. In the second Na1+ site, Na1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.48 Å. In the third Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.50 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.41 Å. In the fifth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.42 Å. There are sixteen inequivalent Ti+3.69+ sites. In the first Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. In the second Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the third Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.15 Å. In the fourth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the fifth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Ti–O bond distances ranging from 1.85–2.14 Å. In the sixth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the seventh Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ti–O bond distances ranging from 1.95–2.12 Å. In the eighth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the ninth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the tenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the eleventh Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the twelfth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the thirteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.13 Å. In the fourteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.13 Å. In the fifteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the sixteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.69+ atoms to form distorted corner-sharing ONaTi3 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.69+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Na1+ and two Ti+3.69+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Na1+ and two Ti+3.69+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Ti+3.69+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti+3.69+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.69+ atoms. In the twelfth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+ and three Ti+3.69+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the twenty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.69+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+ and three Ti+3.69+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Ti+3.69+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti+3.69+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti+3.69+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti+3.69+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Na1+ and three Ti+3.69+ atoms to form distorted ONaTi3 tetrahedra that share corners with two equivalent ONaTi3 tetrahedra and an edgeedge with one OTi4 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Ti+3.69+ atoms to form distorted ONaTi3 tetrahedra that share corners with two equivalent ONaTi3 tetrahedra and an edgeedge with one OTi4 trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the thirty-first O2- site, O2- is bonded to four Ti+3.69+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgTi14O25 by Materials Project

MgTi14O25 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share 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 Mg–O bond distances ranging from 2.01–2.18 Å. There are fourteen inequivalent Ti+3.43+ sites. In the first Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–41°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the second Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of Ti–O bond distances ranging from 1.90–2.21 Å. In the third Ti+3.43+ site, Ti+3.43+ 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the fourth Ti+3.43+ site, Ti+3.43+ 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 three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the sixth Ti+3.43+ site, Ti+3.43+ 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.23 Å. In the seventh Ti+3.43+ site, Ti+3.43+ 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 five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.85–2.23 Å. In the eighth Ti+3.43+ site, Ti+3.43+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.18 Å. In the ninth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the tenth Ti+3.43+ site, Ti+3.43+ 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 20–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eleventh Ti+3.43+ site, Ti+3.43+ 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 27–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.21 Å. In the twelfth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the thirteenth Ti+3.43+ site, Ti+3.43+ 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 20–42°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.43+ site, Ti+3.43+ 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 28–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.43+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with three OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twenty-first O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.43+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.43+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li24Ti11CrO36 by Materials Project

Li24Ti11CrO36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Ti–O bond lengths are 1.98 Å. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Cr–O bond distances ranging from 1.90–1.99 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the ninth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li24TiCr11O36 by Materials Project

Li24TiCr11O36 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.04–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.11–2.13 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.06–2.26 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.10 Å) and two longer (2.13 Å) Li–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There is two shorter (1.97 Å) and four longer (1.98 Å) Ti–O bond length. There are seven inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.90–2.03 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cr–O bond distances ranging from 1.90–2.01 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Cr–O bond distances ranging from 1.88–2.01 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.93–1.99 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the third O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg(CuO2)2 by Materials Project

MgCu2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.19–2.38 Å. In the second Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.42 Å. In the third Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.19–2.43 Å. In the fourth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.20–2.40 Å. There are eight inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of Cu–O bond distances ranging from 1.94–2.06 Å. In the second Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Cu–O bond distances ranging from 1.94–2.05 Å. In the third Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of Cu–O bond distances ranging from 1.94–2.06 Å. In the fourth Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Cu–O bond distances ranging from 1.94–2.06 Å. In the fifth Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of Cu–O bond distances ranging from 1.89–2.07 Å. In the sixth Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Cu–O bond distances ranging from 1.89–2.06 Å. In the seventh Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of Cu–O bond distances ranging from 1.89–2.06 Å. In the eighth Cu3+ site, Cu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Cu–O bond distances ranging from 1.90–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 trigonal bipyramids. In the second O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 trigonal bipyramids. In the third O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 trigonal bipyramids. In the fourth O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Mg2+ and three Cu3+ atoms. In the sixth O2- site, O2- is bonded to two Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 trigonal bipyramids. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Mg2+ and three Cu3+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Mg2+ and three Cu3+ atoms. In the ninth O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the tenth O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the eleventh O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the twelfth O2- site, O2- is bonded to two equivalent Mg2+ and three Cu3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Mg2+ and three Cu3+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Mg2+ and three Cu3+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Mg2+ and three Cu3+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Mg2+ and three Cu3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr8Sc2O19 by Materials Project

Sc2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.01–2.24 Å. In the second Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.05–2.37 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.32 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.32 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.28 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.27 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.26 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.33 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.30 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OZr2Sc2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with fourteen OSc4 tetrahedra and edges with five OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OZr2Sc2 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with fourteen OSc4 tetrahedra and edges with five OZr2Sc2 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2PtO3 by Materials Project

Li2PtO3 is Caswellsilverite-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eleven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six PtO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are four shorter (2.15 Å) and two longer (2.16 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four PtO6 octahedra, edges with four PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four PtO6 octahedra, edges with four PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four PtO6 octahedra, edges with four PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six PtO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are four shorter (2.15 Å) and two longer (2.16 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four PtO6 octahedra, edges with four PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four PtO6 octahedra, edges with four PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four PtO6 octahedra, edges with four PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent PtO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are four shorter (2.15 Å) and two longer (2.16 Å) Li–O bond lengths. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent PtO6 octahedra, edges with four equivalent PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent PtO6 octahedra, edges with four equivalent PtO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are two shorter (2.11 Å) and four longer (2.21 Å) Li–O bond lengths. There are five inequivalent Pt4+ sites. In the first Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent PtO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are two shorter (2.05 Å) and four longer (2.06 Å) Pt–O bond lengths. In the second Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent PtO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. All Pt–O bond lengths are 2.06 Å. In the third Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent PtO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are two shorter (2.05 Å) and four longer (2.06 Å) Pt–O bond lengths. In the fourth Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent PtO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. All Pt–O bond lengths are 2.06 Å. In the fifth Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent PtO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are two shorter (2.05 Å) and four longer (2.06 Å) Pt–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O2- site, O2- is bonded to four Li1+ and two Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. The O–Li bond length is 2.15 Å. There are one shorter (2.05 Å) and one longer (2.06 Å) O–Pt bond lengths. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Pt4+ atoms to form a mixture of edge and corner-sharing OLi4Pt2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. The O–Li bond length is 2.16 Å. Both O–Pt bond lengths are 2.06 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba16Bi16O45 by Materials Project

Ba16Bi16O45 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.92–3.26 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.32 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.94–3.33 Å. In the fourth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.86–3.26 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.05–3.38 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.21 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.10–3.26 Å. In the eighth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.23 Å. There are sixteen inequivalent Bi+3.62+ sites. In the first Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the second Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.18–2.28 Å. In the third Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the fourth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the fifth Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the sixth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.28 Å. In the seventh Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are three shorter (2.25 Å) and one longer (2.26 Å) Bi–O bond lengths. In the eighth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the ninth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.28 Å. In the tenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.27 Å. In the eleventh Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the twelfth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Bi–O bond distances ranging from 2.19–2.24 Å. In the thirteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.27 Å. In the fourteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the fifteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Bi–O bond distances ranging from 2.20–2.26 Å. In the sixteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the fifteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–56°. In the eighteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the nineteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-first O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Bi+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirtieth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the thirty-first O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirty-fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the thirty-fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the thirty-sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-seventh O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na11Ti10O21 by Materials Project

Na11Ti10O21 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Na–O bond distances ranging from 2.25–2.48 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Na–O bond distances ranging from 2.25–2.45 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.28–2.43 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Na–O bond distances ranging from 2.36–2.38 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Na–O bond distances ranging from 2.35–2.39 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Na–O bond distances ranging from 2.33–2.50 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NaO6 octahedra, edges with five NaO6 octahedra, and edges with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Na–O bond distances ranging from 2.24–2.27 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Na–O bond distances ranging from 2.35–2.38 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.27–2.42 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Na–O bond distances ranging from 2.35–2.41 Å. There are eleven inequivalent Ti+3.10+ sites. In the first Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with ten NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Ti–O bond distances ranging from 2.24–2.43 Å. In the second Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the third Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ti–O bond distances ranging from 2.02–2.11 Å. In the fourth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Ti–O bond distances ranging from 1.98–2.14 Å. In the fifth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ti–O bond distances ranging from 2.06–2.11 Å. In the sixth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. In the seventh Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. In the eighth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.12 Å. In the ninth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Ti–O bond distances ranging from 2.02–2.17 Å. In the tenth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Ti–O bond distances ranging from 2.05–2.12 Å. In the eleventh Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the second O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fifth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the seventh O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the twelfth O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fourteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the nineteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twentieth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa4Ti2 octahedra and edges with twelve ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the twenty-first O2- site, O2- is bonded to three Na1+ and three Ti+3.1

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na4Ge2Te5 by Materials Project

Na4Ge2Te5 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Na–Te bond distances ranging from 3.27–3.40 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six Te2- atoms. There are a spread of Na–Te bond distances ranging from 3.20–3.90 Å. In the third Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Na–Te bond distances ranging from 3.22–3.59 Å. In the fourth Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Na–Te bond distances ranging from 3.19–3.56 Å. In the fifth Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Na–Te bond distances ranging from 3.23–3.56 Å. In the sixth Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of distorted edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Na–Te bond distances ranging from 3.25–3.77 Å. In the seventh Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Na–Te bond distances ranging from 3.18–3.61 Å. In the eighth Na1+ site, Na1+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing NaTe6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Na–Te bond distances ranging from 3.14–3.54 Å. There are four inequivalent Ge3+ sites. In the first Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Te2- atoms. There are a spread of Ge–Te bond distances ranging from 2.58–2.69 Å. In the second Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Te2- atoms. There are a spread of Ge–Te bond distances ranging from 2.59–2.61 Å. In the third Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Te2- atoms. There are a spread of Ge–Te bond distances ranging from 2.57–2.69 Å. In the fourth Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Te2- atoms. There are a spread of Ge–Te bond distances ranging from 2.58–2.68 Å. There are ten inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 6–85°. In the second Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 6–85°. In the third Te2- site, Te2- is bonded in a 6-coordinate geometry to four Na1+ and two Ge3+ atoms. In the fourth Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 1–90°. In the fifth Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 6–87°. In the sixth Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 6–77°. In the seventh Te2- site, Te2- is bonded to four Na1+ and two Ge3+ atoms to form a mixture of edge and corner-sharing TeNa4Ge2 octahedra. The corner-sharing octahedra tilt angles range from 7–92°. In the eighth Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 1–89°. In the ninth Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of distorted edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 6–82°. In the tenth Te2- site, Te2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing TeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 5–92°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na4Ge2Se5 by Materials Project

Na4Ge2Se5 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Na–Se bond distances ranging from 2.99–3.45 Å. In the second Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of distorted edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Na–Se bond distances ranging from 3.04–3.52 Å. In the third Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Na–Se bond distances ranging from 2.95–3.29 Å. In the fourth Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Na–Se bond distances ranging from 3.07–3.28 Å. In the fifth Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Na–Se bond distances ranging from 3.03–3.17 Å. In the sixth Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Na–Se bond distances ranging from 3.01–3.38 Å. In the seventh Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Na–Se bond distances ranging from 3.01–3.23 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six Se2- atoms. There are a spread of Na–Se bond distances ranging from 3.01–3.66 Å. There are four inequivalent Ge3+ sites. In the first Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Se2- atoms. There are two shorter (2.37 Å) and one longer (2.38 Å) Ge–Se bond lengths. In the second Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Se2- atoms. There are two shorter (2.36 Å) and one longer (2.49 Å) Ge–Se bond lengths. In the third Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Se2- atoms. There are a spread of Ge–Se bond distances ranging from 2.36–2.48 Å. In the fourth Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Se2- atoms. There are a spread of Ge–Se bond distances ranging from 2.34–2.48 Å. There are ten inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of distorted edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 3–83°. In the second Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of distorted edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 2–89°. In the third Se2- site, Se2- is bonded to four Na1+ and two Ge3+ atoms to form a mixture of distorted edge and corner-sharing SeNa4Ge2 octahedra. The corner-sharing octahedra tilt angles range from 5–92°. In the fourth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 2–90°. In the fifth Se2- site, Se2- is bonded in a 6-coordinate geometry to four Na1+ and two Ge3+ atoms. In the sixth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 5–85°. In the seventh Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 9–92°. In the eighth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 5–85°. In the ninth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 3–77°. In the tenth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 3–88°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pb13(Br3O5)2 by Materials Project

Pb13(O5Br3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-six inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.59 Å. There are a spread of Pb–Br bond distances ranging from 3.51–3.73 Å. In the second Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.41 Å) and one longer (3.54 Å) Pb–Br bond lengths. In the third Pb2+ site, Pb2+ is bonded in a 2-coordinate geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.30 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.12–3.51 Å. In the fourth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and four Br1- atoms. Both Pb–O bond lengths are 2.29 Å. There are two shorter (3.12 Å) and two longer (3.61 Å) Pb–Br bond lengths. In the fifth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.39 Å) and one longer (3.54 Å) Pb–Br bond lengths. In the sixth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.26 Å) Pb–O bond lengths. The Pb–Br bond length is 3.05 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.48 Å. There are one shorter (3.64 Å) and one longer (3.67 Å) Pb–Br bond lengths. In the eighth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.41 Å) and one longer (3.54 Å) Pb–Br bond lengths. In the ninth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.91 Å. There are one shorter (3.49 Å) and one longer (3.55 Å) Pb–Br bond lengths. In the tenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.26 Å) Pb–O bond lengths. The Pb–Br bond length is 3.02 Å. In the eleventh Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.31 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.13–3.51 Å. In the twelfth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.31 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.12–3.52 Å. In the thirteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.58 Å. There are a spread of Pb–Br bond distances ranging from 3.56–3.70 Å. In the fourteenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.25 Å) Pb–O bond lengths. The Pb–Br bond length is 3.03 Å. In the fifteenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.26 Å) Pb–O bond lengths. The Pb–Br bond length is 3.05 Å. In the sixteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.48 Å. There are one shorter (3.63 Å) and one longer (3.65 Å) Pb–Br bond lengths. In the seventeenth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.33–2.95 Å. There are one shorter (3.47 Å) and one longer (3.52 Å) Pb–Br bond lengths. In the eighteenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and four Br1- atoms. Both Pb–O bond lengths are 2.29 Å. There are a spread of Pb–Br bond distances ranging from 3.11–3.60 Å. In the nineteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.58 Å. There are a spread of Pb–Br bond distances ranging from 3.53–3.72 Å. In the twentieth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.41 Å) and one longer (3.53 Å) Pb–Br bond lengths. In the twenty-first Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.39–2.47 Å. There are one shorter (3.61 Å) and one longer (3.66 Å) Pb–Br bond lengths. In the twenty-second Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.48 Å. There are one shorter (3.61 Å) and one longer (3.66 Å) Pb–Br bond lengths. In the twenty-third Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.92 Å. There are one shorter (3.50 Å) and one longer (3.56 Å) Pb–Br bond lengths. In the twenty-fourth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.31 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.12–3.52 Å. In the twenty-fifth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.88 Å. There are one shorter (3.49 Å) and one longer (3.55 Å) Pb–Br bond lengths. In the twenty-sixth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.58 Å. There are a spread of Pb–Br bond distances ranging from 3.55–3.71 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the third O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to four Pb2+ atoms. In the fifth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to four Pb2+ atoms. In the seventh O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb2+ atoms. In the ninth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the tenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to four Pb2+ atoms. In the fifteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. There are twelve inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the second Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms. In the third Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the fourth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms. In the fifth Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the sixth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Pb2+ atoms. In the seventh Br1- site, Br1- is bonded in a distorted body-centered cubic geometry to eight Pb2+ atoms. In the eighth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Pb2+ atoms. In the ninth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Pb2+ atoms. In the tenth Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the eleventh Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms. In the twelfth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CaMn4O8 by Materials Project

CaMn4O8 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.51 Å. In the second Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.51 Å. There are eight inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mn–O bond distances ranging from 1.90–2.17 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mn–O bond distances ranging from 1.90–2.17 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of edge and corner-sharing OCaMn3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of edge and corner-sharing OCaMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ag9(PbO3)4 by Materials Project

Ag9(PbO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Ag+1.11+ sites. In the first Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.13 Å) and one longer (2.14 Å) Ag–O bond lengths. In the second Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the third Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.25–2.35 Å. In the fourth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the fifth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the sixth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the seventh Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are one shorter (2.25 Å) and two longer (2.34 Å) Ag–O bond lengths. In the eighth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the ninth Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal planar geometry to three O2- atoms. All Ag–O bond lengths are 2.31 Å. In the tenth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.15 Å. In the eleventh Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.14 Å) and one longer (2.15 Å) Ag–O bond lengths. In the twelfth Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.25–2.35 Å. In the thirteenth Ag+1.11+ site, Ag+1.11+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.31 Å) and one longer (2.33 Å) Ag–O bond lengths. In the fourteenth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the fifteenth Ag+1.11+ site, Ag+1.11+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the sixteenth Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.25–2.34 Å. In the seventeenth Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal planar geometry to three O2- atoms. There are one shorter (2.30 Å) and two longer (2.32 Å) Ag–O bond lengths. In the eighteenth Ag+1.11+ site, Ag+1.11+ is bonded in a trigonal planar geometry to three O2- atoms. There are one shorter (2.31 Å) and two longer (2.32 Å) Ag–O bond lengths. There are eight inequivalent Pb+3.50+ sites. In the first Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.29 Å. In the second Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.21–2.28 Å. In the third Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.28 Å. In the fourth Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.21–2.28 Å. In the fifth Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.28 Å. In the sixth Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.28 Å. In the seventh Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.21–2.28 Å. In the eighth Pb+3.50+ site, Pb+3.50+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.21–2.28 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the second O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the third O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the fourth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the fifth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the sixth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the seventh O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the eighth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the ninth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.11+ and two Pb+3.50+ atoms. In the tenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the eleventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.11+ and two Pb+3.50+ atoms. In the twelfth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the sixteenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the nineteenth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the twentieth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.11+ and two Pb+3.50+ atoms. In the twenty-first O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the twenty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.11+ and two Pb+3.50+ atoms. In the twenty-third O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Ag+1.11+ and two Pb+3.50+ atoms to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ce8Gd2O19 by Materials Project

Gd2Ce8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Gd–O bond distances ranging from 2.20–2.48 Å. In the second Gd3+ site, Gd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Gd–O bond distances ranging from 2.20–2.48 Å. There are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.46 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.39 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.38 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.36 Å) and four longer (2.37 Å) Ce–O bond lengths. In the fifth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are three shorter (2.36 Å) and five longer (2.37 Å) Ce–O bond lengths. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.33–2.39 Å. In the eighth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.46 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the second O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the third O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventh O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Gd2 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Gd3+ and two equivalent Ce4+ atoms to form a mixture of corner and edge-sharing OCe2Gd2 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Gd3+ and two equivalent Ce4+ atoms to form OCe2Gd2 tetrahedra that share corners with fourteen OCe4 tetrahedra and edges with five OCe2Gd2 tetrahedra. In the tenth O2- site, O2- is bonded to four Gd3+ atoms to form a mixture of corner and edge-sharing OGd4 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Gd3+ and two equivalent Ce4+ atoms to form a mixture of corner and edge-sharing OCe2Gd2 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Gd3+ and two equivalent Ce4+ atoms to form OCe2Gd2 tetrahedra that share corners with fourteen OGd4 tetrahedra and edges with five OCe2Gd2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr16Fe16O41 by Materials Project

Sr16Fe16O41 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Sr sites. In the first Sr site, Sr is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.96 Å. In the second Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.78–2.82 Å. In the third Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.77–2.84 Å. In the fourth Sr site, Sr is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.64–2.95 Å. In the fifth Sr site, Sr is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.65–2.96 Å. In the sixth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.76–2.85 Å. In the seventh Sr site, Sr is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.96 Å. In the eighth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.80–2.82 Å. In the ninth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.76–2.84 Å. There are eight inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with three equivalent FeO6 octahedra and corners with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Fe–O bond distances ranging from 1.85–2.01 Å. In the second Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.83–2.01 Å. In the third Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.01 Å. In the fourth Fe site, Fe is bonded to six O atoms to form corner-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the fifth Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with three equivalent FeO6 octahedra and corners with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Fe–O bond distances ranging from 1.85–2.02 Å. In the sixth Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.01 Å. In the seventh Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.83–2.01 Å. In the eighth Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.00 Å. There are twenty-three inequivalent O sites. In the first O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the second O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the third O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the fourth O site, O is bonded in a distorted linear geometry to four Sr and two Fe atoms. In the fifth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the sixth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the seventh O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the eighth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 4–65°. In the ninth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the tenth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the eleventh O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 4–65°. In the twelfth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the thirteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the fourteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 2–64°. In the fifteenth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the sixteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the seventeenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the eighteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the nineteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twentieth O site, O is bonded in a distorted linear geometry to four Sr and two Fe atoms. In the twenty-first O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the twenty-second O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twenty-third O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms.

36 MATERIALS SCIENCE↗