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DOE OSTI2020

Materials Data on Na13Ni11O24 by Materials Project

Na13Ni11O24 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na1+ sites. In the first 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 NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–17°. There are a spread of Na–O bond distances ranging from 2.23–2.41 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Na–O bond distances ranging from 2.34–2.42 Å. In the third 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 NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Na–O bond distances ranging from 2.22–2.48 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–18°. There are a spread of Na–O bond distances ranging from 2.19–2.31 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.37–2.46 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.36–2.43 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.36–2.42 Å. In the eighth 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 NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Na–O bond distances ranging from 2.22–2.48 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.37–2.47 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Na–O bond distances ranging from 2.34–2.42 Å. In the eleventh 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 NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.29–2.40 Å. In the twelfth 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 NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.30–2.40 Å. In the thirteenth 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 NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Na–O bond distances ranging from 2.22–2.41 Å. There are eleven inequivalent Ni+3.18+ sites. In the first Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.94–2.13 Å. In the second Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Ni–O bond distances ranging from 1.92–2.19 Å. In the third Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.20 Å. In the fourth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.92–2.21 Å. In the fifth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Ni–O bond distances ranging from 1.92–2.19 Å. In the sixth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.91–2.21 Å. In the seventh Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.94–2.13 Å. In the eighth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.19 Å. In the ninth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.19 Å. In the tenth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.20 Å. In the eleventh Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.18 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form ONa3Ni3 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form distorted ONa3Ni3 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eleventh O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form distorted ONa3Ni3 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form ONa3Ni3 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixteenth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O2- site, O2- is

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3MnO3 by Materials Project

Li3MnO3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.87–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Li–O bond distances ranging from 1.88–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Li–O bond distances ranging from 1.87–2.06 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Li–O bond distances ranging from 1.88–2.07 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the twenty-first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the twenty-second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the twenty-third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.88–2.07 Å. In the thirtieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the thirty-first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the thirty-second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the thirty-third Li1+ site, Li1+ is bonded to four O2- atoms

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li32Ti3Cr13O48 by Materials Project

Li32Ti3Cr13O48 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li sites. In the first Li site, Li is bonded to six O 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 2.07–2.23 Å. In the second Li site, Li is bonded to six O 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 8–10°. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the third Li site, Li is bonded to six O 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 8–10°. There are a spread of Li–O bond distances ranging from 2.01–2.24 Å. In the fourth Li site, Li is bonded to six O 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 2.08–2.23 Å. In the fifth Li site, Li is bonded to six O 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 7–10°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.07–2.25 Å. In the seventh Li site, Li is bonded to six O 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 9–10°. There are a spread of Li–O bond distances ranging from 2.09–2.13 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.02–2.24 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.08–2.23 Å. In the tenth Li site, Li is bonded to six O 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 eleventh Li site, Li is bonded to six O 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 7–10°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the twelfth Li site, Li is bonded to six O 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 2.06–2.24 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the fourteenth Li site, Li is bonded to six O 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 8–9°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.08–2.25 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two 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 2.07–2.26 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.13 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two 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 2.04–2.17 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.03–2.24 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two 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 2.09–2.25 Å. In the twenty-first Li site, Li is bonded to six O 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 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the twenty-second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.11–2.13 Å. In the twenty-third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.08–2.22 Å. In the twenty-fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.02–2.24 Å. In the twenty-fifth Li site, Li is bonded to six O 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 9–10°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the twenty-sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.07–2.25 Å. In the twenty-seventh Li site, Li is bonded to six O 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 7–10°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the twenty-eighth Li site, Li is bonded to six O 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 5–10°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the twenty-ninth Li site, Li is bonded to six O 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 9–10°. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the thirtieth Li site, Li is bonded to six O 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 2.02–2.23 Å. In the thirty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edg

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li32Ti3Cr13O48 by Materials Project

Li32Ti3Cr13O48 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li sites. In the first Li site, Li is bonded to six O 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 8–11°. There are a spread of Li–O bond distances ranging from 2.07–2.24 Å. In the second Li site, Li is bonded to six O 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 8–10°. There are a spread of Li–O bond distances ranging from 2.09–2.13 Å. In the third Li site, Li is bonded to six O 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 2.03–2.22 Å. In the fourth Li site, Li is bonded to six O 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 2.07–2.23 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with two TiO6 octahedra, edges with two 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 2.06–2.24 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.07–2.24 Å. In the seventh Li site, Li is bonded to six O 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 a spread of Li–O bond distances ranging from 2.09–2.13 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.03–2.22 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.08–2.19 Å. In the tenth Li site, Li is bonded to six O 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 three shorter (2.11 Å) and three longer (2.12 Å) Li–O bond lengths. In the eleventh Li site, Li is bonded to six O 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 8–10°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the twelfth Li site, Li is bonded to six O 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 6–9°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.11–2.13 Å. In the fourteenth Li site, Li is bonded to six O 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 2.03–2.23 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 8–11°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two 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 2.09–2.24 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two 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 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the nineteenth Li site, Li is bonded to six O 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 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four 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 2.09–2.18 Å. In the twenty-first Li site, Li is bonded to six O 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 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the twenty-second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the twenty-third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.08–2.25 Å. In the twenty-fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the twenty-fifth Li site, Li is bonded to six O 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 2.09–2.14 Å. In the twenty-sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 7–10°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the twenty-seventh Li site, Li is bonded to six O 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 2.06–2.24 Å. In the twenty-eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three 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 8–11°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the twenty-ninth Li site, Li is bonded to six O 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 8–10°. There are a spread of Li–O bond distances ranging from 2.08–2.13 Å. In the thirtieth Li site, Li is bonded to six O 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 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the thirty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeed

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Cr11Ni40Mo9 by Materials Project

Mo9Cr11Ni40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Mo sites. In the first Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr5Ni7 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Mo–Mo bond length is 2.59 Å. The Mo–Cr bond length is 2.50 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the second Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share corners with two CrCr2Ni10 cuboctahedra, corners with ten NiCr5Ni7 cuboctahedra, edges with four MoCrNi10Mo cuboctahedra, edges with eight CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, faces with four CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. There are one shorter (2.58 Å) and one longer (2.62 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.48–2.58 Å. In the third Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrCr2Ni10 cuboctahedra, corners with ten NiCr5Ni7 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr3Ni7Mo2 cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr5Ni7 cuboctahedra. The Mo–Mo bond length is 2.59 Å. The Mo–Cr bond length is 2.56 Å. There are a spread of Mo–Ni bond distances ranging from 2.52–2.65 Å. In the fourth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.53–2.60 Å. In the fifth Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, faces with four CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. There are one shorter (2.61 Å) and one longer (2.63 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.49–2.59 Å. In the sixth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr4Ni7Mo cuboctahedra, edges with five MoCrNi10Mo cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.57 Å. The Mo–Cr bond length is 2.54 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the seventh Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with five MoCrNi10Mo cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.58 Å. The Mo–Cr bond length is 2.51 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.60 Å. In the eighth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two CrNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.53–2.60 Å. In the ninth Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr5Ni7 cuboctahedra, edges with five MoCrNi10Mo cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, a faceface with one MoCrNi10Mo cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are one shorter (2.51 Å) and one longer (2.62 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.53–2.57 Å. There are eleven inequivalent Cr sites. In the first Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with six CrCr2Ni10 cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrCr2Ni10 cuboctahedra, and faces with fourteen NiCr5Ni7 cuboctahedra. The Cr–Cr bond length is 2.46 Å. There are a spread of Cr–Ni bond distances ranging from 2.46–2.61 Å. In the second Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with six CrCr2Ni10 cuboctahedra, edges with twelve NiCr3Ni7Mo2 cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Cr–Cr bond length is 2.48 Å. There are a spread of Cr–Ni bond distances ranging from 2.47–2.59 Å. In the third Cr site, Cr is bonded to two Cr and ten Ni atoms to form CrCr2Ni10 cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCr5Ni7 cuboctahedra, edges with five MoCrNi10Mo cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr5Ni7 cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.49–2.54 Å. In the fourth Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with six CrCrNi10Mo cuboctahedra, edges with twelve NiCr3Ni7Mo2 cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Cr–Cr bond length is 2.38 Å. There are a spread of Cr–Ni bond distances ranging from 2.48–2.60 Å. In the fifth Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Cr–Cr bond length is 2.44 Å. There are a spread of Cr–Ni bond distances ranging from 2.45–2.61 Å. In the sixth Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.47–2.60 Å. In the seventh Cr site, Cr is bonded to two Cr and ten Ni atoms to form distorted CrCr2Ni10 cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with four MoCr2Ni10 cuboctahedra, edges with eight CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr5Ni7 cuboctahedra. The Cr–Cr bond length is 2.57 Å. There are a spread of Cr–Ni bond distances ranging from 2.46–2.54 Å. In the eighth Cr site, Cr is bonded to two Cr and ten Ni atoms to form distorted CrCr2Ni10 cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr4Ni7Mo cuboctahedra, edges with four MoCrNi10Mo cuboctahedra, edges with eight CrCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCr2Ni10 cuboctahedra, and faces with fourteen NiCr5Ni7 cuboctahedra. The Cr–Cr bond length is 2.43 Å. There are a spread of Cr–Ni bond distances ranging from 2.47–2.55 Å. In the ninth Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with six CrCrNi10Mo cuboctahedra, edges with twelve NiCr4Ni7Mo cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.44–2.61 Å. In the tenth Cr site, Cr is bonded to two Mo and ten Ni atoms to form CrNi10Mo2 cuboctahedra that share corners with two MoNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with six CrCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.53–2.57 Å. In the eleventh Cr site, Cr is bonded to two Mo and ten Ni atoms to form CrNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr4Ni7Mo cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.49–2.59 Å. There are forty inequivalent Ni sites. In the first Ni site, Ni is bonded to four Mo, one Cr, and seven Ni atoms to form distorted NiCrNi7Mo4 cuboctahedra that share corners with five CrCrNi10Mo cuboctahedra, corners with seven NiCr3Ni7Mo2 cuboctahedra, edges with three MoCrNi10Mo cuboctahedra, edges with three CrCrNi10Mo cuboctahedra, edg

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Cr8Ni50Mo15W2 by Materials Project

W2Mo15Cr8Ni50 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent W sites. In the first W site, W is bonded to two Cr and ten Ni atoms to form WCr2Ni10 cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, an edgeedge with one WNi10Mo2 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with six MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrNi10MoW cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. Both W–Cr bond lengths are 2.57 Å. There are a spread of W–Ni bond distances ranging from 2.53–2.58 Å. In the second W site, W is bonded to two Mo and ten Ni atoms to form WNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, an edgeedge with one WCr2Ni10 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with seven MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCrNi10W cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. There are one shorter (2.58 Å) and one longer (2.61 Å) W–Mo bond lengths. There are a spread of W–Ni bond distances ranging from 2.53–2.59 Å. There are fifteen inequivalent Mo sites. In the first Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share a cornercorner with one WCr2Ni10 cuboctahedra, a cornercorner with one MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, an edgeedge with one WNi10Mo2 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with six MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one MoCrNi10Mo cuboctahedra, faces with two CrNi10MoW cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. There are one shorter (2.54 Å) and one longer (2.57 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.53–2.59 Å. In the second Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one WCr2Ni10 cuboctahedra, a cornercorner with one MoNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with seven MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one CrNi10MoW cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. The Mo–Mo bond length is 2.61 Å. The Mo–Cr bond length is 2.50 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the third Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoNi10MoW cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, an edgeedge with one WNi10Mo2 cuboctahedra, edges with three CrNi10Mo2 cuboctahedra, edges with eight MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, faces with four MoNi10MoW cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.57 Å) Mo–Mo bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the fourth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrNi10MoW cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, an edgeedge with one WCr2Ni10 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one CrNi10MoW cuboctahedra, faces with three MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.56 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the fifth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with seven MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the sixth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share a cornercorner with one WNi10Mo2 cuboctahedra, a cornercorner with one MoNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with eight MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7MoW2 cuboctahedra, a faceface with one WNi10Mo2 cuboctahedra, faces with three MoNi10MoW cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. The Mo–Mo bond length is 2.55 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the seventh Mo site, Mo is bonded to one W, one Cr, and ten Ni atoms to form MoCrNi10W cuboctahedra that share a cornercorner with one MoNi10MoW cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WNi10Mo2 cuboctahedra, a faceface with one MoNi10MoW cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. The Mo–Cr bond length is 2.53 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the eighth Mo site, Mo is bonded to one W, one Mo, and ten Ni atoms to form MoNi10MoW cuboctahedra that share corners with two MoCrNi10W cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with six MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WNi10Mo2 cuboctahedra, faces with three MoCrNi10W cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.54–2.60 Å. In the ninth Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with five CrNi10Mo2 cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.59 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.52–2.58 Å. In the tenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCrNi7Mo3W cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with twelve NiNi7Mo5 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCr2Ni10 cuboctahedra, and faces with fourteen NiCrNi7Mo3W cuboctahedra. The Mo–Mo bond length is 2.61 Å. The Mo–Cr bond length is 2.52 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the eleventh Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with seven MoCr2Ni10 cuboctahedra, edges with twelve NiNi7Mo5 cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. Both Mo–Cr bond lengths are 2.56 Å. There are a spread of Mo–Ni bond distances ranging from 2.52–2.58 Å. In the twelfth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two CrNi10Mo2 cuboctahedra, corners with ten NiCrNi7Mo2W2 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with three CrNi10MoW cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo3W cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCrNi7Mo3W cuboctahedra. The Mo–Mo bond length is 2.60 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.59 Å. In the thirteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiNi7Mo4W cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.65 Å. The Mo–Cr bond length is 2.51 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the fourteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with five MoCrNi10Mo cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with twelve NiNi7Mo4W cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo3W cuboctahedra. The Mo–Cr bond length is 2.53 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.62 Å. In the fifteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with eight MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Cr bond length is 2.51 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. There are eight inequivalent Cr sites. In the first Cr site, Cr is bonded to one W, one Mo, and ten Ni atoms to form CrNi10MoW cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrNi10MoW cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with three CrCrNi10Mo cuboctahedra, edges with seven MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one CrNi10MoW cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.51–2.57 Å. In the second Cr site, Cr is bonded to one W, one Mo, and ten Ni atoms to form CrNi10MoW cuboctahedra that share corners with two CrNi10MoW cuboctahedra, corners with ten NiNi7Mo4W cuboctahedra, an edgeedge with one CrNi10Mo2 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with nine MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with two CrNi10MoW cuboctahedra, and

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3V3CrO8 by Materials Project

Li3V3CrO8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six 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 five VO6 octahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.13–2.32 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four CrO6 octahedra, edges with two CrO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.11–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three VO6 octahedra, corners with three CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.13–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five VO6 octahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.15–2.29 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.15–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with two VO6 octahedra, edges with four LiO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.12–2.28 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of V–O bond distances ranging from 2.00–2.10 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of V–O bond distances ranging from 2.02–2.10 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with three VO6 octahedra, edges with three CrO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with three VO6 octahedra, edges with three CrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of V–O bond distances ranging from 1.87–2.06 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of V–O bond distances ranging from 2.01–2.10 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of V–O bond distances ranging from 2.01–2.09 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Cr–O bond distances ranging from 2.00–2.06 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Cr–O bond distances ranging from 1.99–2.05 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one V+3.33+, and two Cr3+ atoms to form OLi2VCr2 square pyramids that share corners with two equivalent OLi3VCr2 octahedra, corners with seven OLi2V3 square pyramids, edges with three OLi3V2Cr octahedra, and edges with five OLi2V2Cr square pyramids. The corner-sharing octahedral tilt angles are 3°. In the second O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share corners with three OLi3VCr2 octahedra, corners with six OLi2V2Cr square pyramids, edges with three OLi3V3 octahedra, and edges with five OLi2VCr2 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to three Li1+ and three V+3.33+ atoms to form OLi3V3 octahedra that share corners with three OLi3VCr2 octahedra, corners with three OLi2V2Cr square pyramids, an edgeedge with one OLi3V3 octahedra, and edges with eleven OLi2V2Cr square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the fourth O2- site, O2- is bonded to two Li1+ and three V+3.33+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi3V3 octahedra, corners with seven OLi2VCr2 square pyramids, edges with three OLi3V3 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the fifth O2- site, O2- is bonded to three Li1+, two V+3.33+, and one Cr3+ atom to form OLi3V2Cr octahedra that share a cornercorner with one OLi3V3 octahedra, corners with five OLi2V3 square pyramids, edges with two equivalent OLi3VCr2 octahedra, and edges with ten OLi2VCr2 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the sixth O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share corners with nine OLi2V2Cr square pyramids, edges with four OLi3V3 octahedra, and edges with four OLi2VCr2 square pyramids. In the seventh O2- site, O2- is bonded to two Li1+ and three V+3.33+ atoms to form OLi2V3 square pyramids that share corners with nine OLi2V2Cr square pyramids, edges with four OLi3V3 octahedra, and edges with four OLi2V3 square pyramids. In the eighth O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share a cornercorner with one OLi3VCr2 octahedra, corners with eight OLi2VCr2 square pyramids, edges with four OLi3V3 octahedra, and edges with four OLi2V3 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the ninth O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share corners with three OLi3V3 octahedra, corners with six OLi2VCr2 square pyramids, edges with three OLi3V2Cr octahedra, and edges with five OLi2VCr2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the tenth O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share corners with two equivalent OLi3V2Cr octahedra, corners with seven OLi2V2Cr square pyramids, edges with three OLi3V2Cr octahedra, and edges with five OLi2VCr2 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the eleventh O2- site, O2- is bonded to two Li1+ and three V+3.33+ atoms to form OLi2V3 square pyramids that share a cornercorner with one OLi3V2Cr octahedra, corners with eight OLi2V2Cr square pyramids, edges with four OLi3V3 octahedra, and edges with four OLi2V2Cr square pyramids. The corner-sharing octahedral tilt angles are 2°. In the twelfth O2- site, O2- is bonded to two Li1+ and three V+3.33+ atoms to form OLi2V3 square pyramids that share corners with nine OLi2V3 square pyramids, edges with four OLi3V3 octahedra, and edges with four OLi2V3 square pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share corners with nine OLi2VCr2 square pyramids, edges with four OLi3V2Cr octahedra, and edges with four OLi2V3 square pyramids. In the fourteenth O2- site, O2- is bonded to three Li1+, one V+3.33+, and two Cr3+ atoms to form OLi3VCr2 octahedra that share a cornercorner with one OLi3V3 octahedra, corners with five OLi2V2Cr square pyramids, edges with two equivalent OLi3V2Cr octahedra, and edges with ten OLi2VCr2 square pyramids. The corner-sharing octahedral tilt angles are 3°. In the fifteenth O2- site, O2- is bonded to two Li1+, two V+3.33+, and one Cr3+ atom to form OLi2V2Cr square pyramids that share corners with two equivalent OLi3V3 octahedra, corners with seven OLi2VCr2 square pyramids, edges with three OLi3V3 octahedra, and edges with five OLi2V2Cr square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three V+3.33+ atoms to form OLi3V3 octahedra that share corners with three OLi3V3 octahedra, corners with three OLi2V3 square pyramids, an edgeedge with one OLi3V3 octahedra, and edges with eleven OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5Li3Ti5O14 by Materials Project

Na5Li3Ti5O14 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 to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Na–O bond distances ranging from 2.29–2.47 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–20°. There are a spread of Na–O bond distances ranging from 2.29–2.50 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with three NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are a spread of Na–O bond distances ranging from 2.29–2.51 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with five NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Na–O bond distances ranging from 2.29–2.41 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with three NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Na–O bond distances ranging from 2.27–2.45 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Li–O bond distances ranging from 2.13–2.52 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–18°. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are a spread of Ti–O bond distances ranging from 1.88–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with three LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–20°. There are a spread of Ti–O bond distances ranging from 1.84–2.29 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form ONaLi2Ti2 square pyramids that share corners with four ONa3LiTi2 octahedra, corners with five ONaLi2Ti2 square pyramids, edges with five ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the second O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form ONa3LiTi2 octahedra that share corners with four ONa2Li2Ti2 octahedra, corners with two ONaLi2Ti2 square pyramids, edges with eight ONa3LiTi2 octahedra, and edges with four ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. In the third O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with three ONa2Li2Ti2 octahedra, corners with three ONaLi2Ti2 square pyramids, edges with nine ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the fourth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 3–16°. In the fifth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and edges with five ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–17°. In the sixth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with three ONa2Li2Ti2 octahedra, corners with three ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with six ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–17°. In the seventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONa2Li2Ti2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and edges with five ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–11°. In the eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share corners with three ONa3Ti3 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 8–10°. In the ninth O2- site, O2- is bonded to two Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa2LiTi2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with two ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti4+ atoms to form distorted ONa3Ti3 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2Ti3 square pyramids, edges with nine ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. In the eleventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two ONa2Ti3 square pyramids, edges with eight ONa3LiTi2 octahedra, and edges with four ONa2Ti3 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with four ONa2Li2Ti2 octahedra, corners with five ONaLi2Ti2 square pyramids, edges with five ONa2Li2Ti2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the thirteenth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with three ONa3Ti3 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with two ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°. In the fourteenth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form ONa3LiTi2 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2Ti3 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with six ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li5(NiO2)4 by Materials Project

Li5(NiO2)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fifth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the sixth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the tenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the eleventh Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the fifteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.84 Å) and one longer (1.85 Å) Li–O bond length. In the sixteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.84 Å) and one longer (1.85 Å) Li–O bond length. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the twentieth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. There are sixteen inequivalent Ni+2.75+ sites. In the first Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the second Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are four shorter (2.02 Å) and two longer (2.04 Å) Ni–O bond lengths. In the third Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the fourth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the fifth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. In the sixth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.07 Å. In the seventh Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.02–2.09 Å. In the eighth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the ninth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 2.03–2.09 Å. In the tenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.07 Å. In the eleventh Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.09 Å. In the twelfth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the thirteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 2.01–2.08 Å. In the fourteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.97–2.07 Å. In the fifteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.07 Å. In the sixteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2Fe2CuO6 by Materials Project

Li2Fe2CuO6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five FeO6 octahedra, edges with two CuO6 octahedra, edges with three LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.09–2.25 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five FeO6 octahedra, edges with two CuO6 octahedra, edges with three LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with four CuO6 octahedra, edges with two CuO6 octahedra, edges with three LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.13–2.25 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with four CuO6 octahedra, edges with two CuO6 octahedra, edges with three LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five FeO6 octahedra, edges with two CuO6 octahedra, edges with three LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five FeO6 octahedra, edges with two CuO6 octahedra, edges with three LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.05–2.33 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Fe–O bond distances ranging from 1.96–2.10 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Fe–O bond distances ranging from 1.95–2.12 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cu–O bond distances ranging from 1.90–2.09 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Cu–O bond distances ranging from 1.89–2.10 Å. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.89–2.07 Å. There are eighteen inequivalent O sites. In the first O site, O is bonded to two Li, two Fe, and one Cu atom to form a mixture of edge and corner-sharing OLi2Fe2Cu square pyramids. In the second O site, O is bonded to two Li, two Fe, and one Cu atom to form OLi2Fe2Cu square pyramids that share corners with nine OLi2Fe3 square pyramids and edges with eight OLi2Fe2Cu square pyramids. In the third O site, O is bonded to two Li, two Fe, and one Cu atom to form a mixture of edge and corner-sharing OLi2Fe2Cu square pyramids. In the fourth O site, O is bonded to two Li, one Fe, and two Cu atoms to form OLi2FeCu2 square pyramids that share corners with nine OLi2Fe3 square pyramids and edges with eight OLi2Fe2Cu square pyramids. In the fifth O site, O is bonded to two Li, one Fe, and two Cu atoms to form OLi2FeCu2 square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2FeCu2 square pyramids. In the sixth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2Fe3 square pyramids. In the seventh O site, O is bonded to two Li, one Fe, and two Cu atoms to form OLi2FeCu2 square pyramids that share corners with nine OLi2FeCu2 square pyramids and edges with eight OLi2Fe2Cu square pyramids. In the eighth O site, O is bonded to two Li, one Fe, and two Cu atoms to form OLi2FeCu2 square pyramids that share corners with nine OLi2Fe3 square pyramids and edges with eight OLi2Fe2Cu square pyramids. In the ninth O site, O is bonded to two Li, two Fe, and one Cu atom to form OLi2Fe2Cu square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2Fe3 square pyramids. In the tenth O site, O is bonded to two Li, one Fe, and two Cu atoms to form OLi2FeCu2 square pyramids that share corners with nine OLi2Fe3 square pyramids and edges with eight OLi2Fe2Cu square pyramids. In the eleventh O site, O is bonded to two Li and three Fe atoms to form a mixture of edge and corner-sharing OLi2Fe3 square pyramids. In the twelfth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with nine OLi2FeCu2 square pyramids and edges with eight OLi2Fe3 square pyramids. In the thirteenth O site, O is bonded to two Li, one Fe, and two Cu atoms to form OLi2FeCu2 square pyramids that share corners with nine OLi2Fe3 square pyramids and edges with eight OLi2Fe2Cu square pyramids. In the fourteenth O site, O is bonded to two Li, two Fe, and one Cu atom to form OLi2Fe2Cu square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2FeCu2 square pyramids. In the fifteenth O site, O is bonded to two Li, two Fe, and one Cu atom to form OLi2Fe2Cu square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2Fe3 square pyramids. In the sixteenth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2Fe3 square pyramids. In the seventeenth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with nine OLi2Fe2Cu square pyramids and edges with eight OLi2Fe3 square pyramids. In the eighteenth O site, O is bonded to two Li and three Fe atoms to form a mixture of edge and corner-sharing OLi2Fe3 square pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li32Ti13Cr3O48 by Materials Project

Li32Ti13Cr3O48 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li sites. In the first Li site, Li is bonded to six O 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 2.10–2.22 Å. In the second Li site, Li is bonded to six O 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 2.11–2.16 Å. In the third Li site, Li is bonded to six O 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 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fourth Li site, Li is bonded to six O 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 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the fifth Li site, Li is bonded to six O 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 2.09–2.23 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 2.09–2.23 Å. In the seventh Li site, Li is bonded to six O 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 2.12–2.15 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 6–10°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the tenth Li site, Li is bonded to six O 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 octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. In the eleventh Li site, Li is bonded to six O 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 2.11–2.22 Å. In the twelfth Li site, Li is bonded to six O 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 2.10–2.22 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four 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 2.10–2.14 Å. In the fourteenth Li site, Li is bonded to six O 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 2.05–2.27 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 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 6–9°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 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 2.08–2.27 Å. In the twenty-first Li site, Li is bonded to six O 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 2.10–2.23 Å. In the twenty-second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the twenty-third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the twenty-fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.26 Å. In the twenty-fifth Li site, Li is bonded to six O 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 a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the twenty-sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three 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 twenty-seventh Li site, Li is bonded to six O 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 8–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twenty-eighth Li site, Li is bonded to six O 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 2.09–2.28 Å. In the twenty-ninth Li site, Li is bonded to six O 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 2.12–2.15 Å. In the thirtieth Li site, Li is bonded to six O 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 6–8°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the thirty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 oct

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Yb43Se45 by Materials Project

Yb43Se45 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are thirty-one inequivalent Yb sites. In the first Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with three YbSe6 octahedra, corners with six YbSe5 square pyramids, edges with four YbSe6 octahedra, and edges with two YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Yb–Se bond distances ranging from 2.82–2.98 Å. In the second Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share a cornercorner with one YbSe6 octahedra, corners with eight YbSe5 square pyramids, edges with two equivalent YbSe6 octahedra, and edges with four YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are one shorter (2.85 Å) and four longer (2.95 Å) Yb–Se bond lengths. In the third Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share a cornercorner with one YbSe6 octahedra, corners with eight YbSe5 square pyramids, edges with three YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 6°. There are a spread of Yb–Se bond distances ranging from 2.81–2.97 Å. In the fourth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with three YbSe6 octahedra, corners with six YbSe5 square pyramids, edges with four YbSe6 octahedra, and edges with two YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Yb–Se bond distances ranging from 2.83–2.97 Å. In the fifth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share a cornercorner with one YbSe6 octahedra, corners with eight YbSe5 square pyramids, edges with three YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 5°. There are a spread of Yb–Se bond distances ranging from 2.82–2.97 Å. In the sixth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with three YbSe6 octahedra, corners with six YbSe5 square pyramids, edges with four YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Yb–Se bond distances ranging from 2.82–2.98 Å. In the seventh Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with two equivalent YbSe6 octahedra, corners with seven YbSe5 square pyramids, edges with four YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Yb–Se bond distances ranging from 2.80–2.96 Å. In the eighth Yb site, Yb is bonded to six Se atoms to form edge-sharing YbSe6 octahedra. All Yb–Se bond lengths are 2.93 Å. In the ninth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with two equivalent YbSe6 octahedra, corners with seven YbSe5 square pyramids, edges with three YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Yb–Se bond distances ranging from 2.84–2.97 Å. In the tenth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with five YbSe6 octahedra, a cornercorner with one YbSe5 square pyramid, edges with ten YbSe6 octahedra, and an edgeedge with one YbSe5 square pyramid. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Yb–Se bond distances ranging from 2.94–3.00 Å. In the eleventh Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with two equivalent YbSe6 octahedra, corners with four YbSe5 square pyramids, edges with seven YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Yb–Se bond distances ranging from 2.91–3.03 Å. In the twelfth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with three YbSe6 octahedra, corners with six YbSe5 square pyramids, edges with four YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Yb–Se bond distances ranging from 2.83–2.97 Å. In the thirteenth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share a cornercorner with one YbSe6 octahedra, corners with five YbSe5 square pyramids, edges with six YbSe6 octahedra, and edges with four YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Yb–Se bond distances ranging from 2.90–3.01 Å. In the fourteenth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share edges with three YbSe6 octahedra and edges with nine YbSe5 square pyramids. All Yb–Se bond lengths are 2.93 Å. In the fifteenth Yb site, Yb is bonded to six Se atoms to form a mixture of edge and corner-sharing YbSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Yb–Se bond lengths are 2.95 Å. In the sixteenth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with four YbSe6 octahedra, corners with two equivalent YbSe5 square pyramids, edges with nine YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Yb–Se bond distances ranging from 2.96–2.99 Å. In the seventeenth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with four YbSe6 octahedra, corners with five YbSe5 square pyramids, edges with five YbSe6 octahedra, and an edgeedge with one YbSe5 square pyramid. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Yb–Se bond distances ranging from 2.82–2.98 Å. In the eighteenth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with three YbSe6 octahedra, corners with three YbSe5 square pyramids, edges with nine YbSe6 octahedra, and edges with two YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Yb–Se bond distances ranging from 2.92–2.99 Å. In the nineteenth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with four YbSe6 octahedra, corners with two equivalent YbSe5 square pyramids, edges with ten YbSe6 octahedra, and an edgeedge with one YbSe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Yb–Se bond distances ranging from 2.93–3.00 Å. In the twentieth Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with two equivalent YbSe6 octahedra, corners with seven YbSe5 square pyramids, edges with four YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 5°. There are a spread of Yb–Se bond distances ranging from 2.80–2.98 Å. In the twenty-first Yb site, Yb is bonded to five Se atoms to form YbSe5 square pyramids that share corners with five YbSe6 octahedra, corners with four YbSe5 square pyramids, and edges with six YbSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Yb–Se bond distances ranging from 2.80–2.94 Å. In the twenty-second Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with five YbSe6 octahedra, a cornercorner with one YbSe5 square pyramid, and edges with twelve YbSe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Yb–Se bond distances ranging from 2.92–2.97 Å. In the twenty-third Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with two equivalent YbSe6 octahedra, edges with nine YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Yb–Se bond distances ranging from 2.92–2.97 Å. In the twenty-fourth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with three YbSe6 octahedra, corners with three YbSe5 square pyramids, edges with eight YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Yb–Se bond distances ranging from 2.93–3.02 Å. In the twenty-fifth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with three YbSe6 octahedra, corners with three YbSe5 square pyramids, edges with eight YbSe6 octahedra, and edges with two YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Yb–Se bond distances ranging from 2.93–3.03 Å. In the twenty-sixth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with five YbSe6 octahedra, a cornercorner with one YbSe5 square pyramid, edges with ten YbSe6 octahedra, and an edgeedge with one YbSe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Yb–Se bond distances ranging from 2.93–3.01 Å. In the twenty-seventh Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with four YbSe6 octahedra, corners with two equivalent YbSe5 square pyramids, edges with eight YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Yb–Se bond distances ranging from 2.94–3.02 Å. In the twenty-eighth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share a cornercorner with one YbSe6 octahedra, edges with six YbSe6 octahedra, and edges with six YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Yb–Se bond distances ranging from 2.92–2.97 Å. In the twenty-ninth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with three YbSe6 octahedra, corners with three YbSe5 square pyramids, edges with nine YbSe6 octahedra, and edges with two equivalent YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Yb–Se bond distances ranging from 2.92–2.99 Å. In the thirtieth Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share a cornercorner with one YbSe6 octahedra, edges with nine YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Yb–Se bond distances ranging from 2.92–2.97 Å. In the thirty-first Yb site, Yb is bonded to six Se atoms to form YbSe6 octahedra that share corners with two equivalent YbSe6 octahedra, edges with nine YbSe6 octahedra, and edges with three YbSe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Yb–Se bond distances ranging from 2.91–2.97 Å. There are thirty-three inequivalent Se sites. In the first Se site, Se is bonded to five Yb atoms to form SeYb5 square pyramids that share corners with nine SeYb5 square pyramids, edges with two SeYb6 octahedra, and edges with four SeYb5 square pyramids. In the second Se site, Se is bonded to five Yb atoms to form SeYb5 square pyramids that share corners with nine SeYb5 square pyramids, edges with two equivalent SeYb6 octahedra, and edges with four SeYb5 square pyramids. In the third Se site, Se is bonded to five Yb atoms to form SeYb5 square pyramids that share corners with nine SeYb5 square pyramids, edges with two SeYb6 octahedra, and edges with four SeYb5 square pyramids. In the fourth Se site, Se is bonded to five Yb atoms to form SeYb5 square pyramids that share corners with nine SeYb5 square pyramids, edges with two SeYb6 octahedra, and edges with four SeYb5 square pyramids. In the fifth Se site, Se is bonded to five Yb atoms to form SeY

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li23Ni17O40 by Materials Project

Li23Ni17O40 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve 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 LiO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.02–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.01–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.15 Å. In the fourth 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 NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.03–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four NiO6 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 2.08–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 1.99–2.18 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 NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.02–2.17 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four NiO6 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 2.06–2.13 Å. In the twelfth 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 NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.04–2.06 Å. There are nine inequivalent Ni+3.35+ sites. In the first Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 1.92–1.98 Å. In the second Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.08 Å. In the third Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the fourth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 1.88–2.00 Å. In the fifth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the sixth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.05 Å. In the seventh Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.04 Å. In the eighth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.04 Å. In the ninth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.03 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form OLi4Ni2 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form OLi3Ni3 octahedra that share corners with six OLi4Ni2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form OLi3Ni3 octahedra that share corners with six OLi4Ni2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form OLi4Ni2 octahedra that share corners with six OLi4Ni2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the nineteenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twentieth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li17V16O32 by Materials Project

Li17V16O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.15–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.15–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.14–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.14–2.23 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.53 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.56 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.16–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Li–O bond distances ranging from 1.91–1.94 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–O bond distances ranging from 2.15–2.24 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.52 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.53 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.06–2.26 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.15–2.26 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.28 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. There are sixteen inequivalent V+2.94+ sites. In the first V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of V–O bond distances ranging from 2.04–2.11 Å. In the second V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of V–O bond distances ranging from 2.04–2.10 Å. In the third V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of V–O bond distances ranging from 2.12–2.14 Å. In the fourth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of V–O bond distances ranging from 2.04–2.11 Å. In the fifth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the sixth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of V–O bond distances ranging from 2.03–2.12 Å. In the seventh V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of V–O bond distances ranging from 2.03–2.11 Å. In the eighth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of V–O bond distances ranging from 2.04–2.12 Å. In the ninth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 2.05–2.10 Å. In the tenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the eleventh V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of V–O bond distances ranging from 2.05–2.08 Å. In the twelfth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the thirteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the fourteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 2.04–2.10 Å. In the fifteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.08 Å. In the sixteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.10 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the second O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and three V+2.94+ atoms. In the sixth O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three V+2.94+ atoms. In the ninth O2-

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li10FeCo9O20 by Materials Project

Li10FeCo9O20 is alpha Po-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.07–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There is three shorter (1.97 Å) and three longer (1.98 Å) Fe–O bond length. There are nine inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.99–2.05 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.96–2.07 Å. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.96–2.09 Å. In the sixth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.95–1.97 Å. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 2.00–2.03 Å. In the eighth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.95–1.97 Å. In the ninth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There is five shorter (1.95 Å) and one longer (1.96 Å) Co–O bond length. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the second O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the third O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with six OLi3FeCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventeenth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the nineteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twentieth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form OLi3FeCo2 octahedra that share corners with six OLi3FeCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca11Tl9O24 by Materials Project

Ca11Tl9O24 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are eleven inequivalent Ca sites. In the first Ca site, Ca is bonded to seven O atoms to form distorted CaO7 pentagonal bipyramids that share corners with four CaO6 octahedra, corners with four TlO6 octahedra, edges with three CaO6 octahedra, and edges with four equivalent TlO6 octahedra. The corner-sharing octahedra tilt angles range from 18–72°. There are a spread of Ca–O bond distances ranging from 2.45–2.64 Å. In the second Ca site, Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.73 Å. In the third Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one TlO6 octahedra, corners with three CaO6 octahedra, edges with three equivalent CaO6 octahedra, and edges with six TlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. There are a spread of Ca–O bond distances ranging from 2.34–2.53 Å. In the fourth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with four CaO6 octahedra, edges with three equivalent CaO6 octahedra, and edges with six TlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. There are a spread of Ca–O bond distances ranging from 2.35–2.48 Å. In the fifth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, corners with two equivalent CaO7 pentagonal bipyramids, edges with two equivalent CaO6 octahedra, and edges with four TlO6 octahedra. The corner-sharing octahedra tilt angles range from 8–64°. There are a spread of Ca–O bond distances ranging from 2.34–2.53 Å. In the sixth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, edges with two equivalent CaO6 octahedra, edges with four TlO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 7–63°. There are a spread of Ca–O bond distances ranging from 2.33–2.53 Å. In the seventh Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, edges with six TlO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 7–64°. There are a spread of Ca–O bond distances ranging from 2.33–2.54 Å. In the eighth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with four CaO6 octahedra, edges with three equivalent CaO6 octahedra, edges with six TlO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 0–64°. There are a spread of Ca–O bond distances ranging from 2.35–2.47 Å. In the ninth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one TlO6 octahedra, corners with three CaO6 octahedra, corners with two equivalent CaO7 pentagonal bipyramids, edges with three equivalent CaO6 octahedra, and edges with six TlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. There are a spread of Ca–O bond distances ranging from 2.37–2.44 Å. In the tenth Ca site, Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.47–2.80 Å. In the eleventh Ca site, Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.48–2.76 Å. There are five inequivalent Tl sites. In the first Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with two CaO6 octahedra, corners with three TlO6 octahedra, a cornercorner with one CaO7 pentagonal bipyramid, edges with four TlO6 octahedra, and edges with five CaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. There are a spread of Tl–O bond distances ranging from 2.25–2.64 Å. In the second Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with four TlO6 octahedra, edges with four CaO6 octahedra, edges with four TlO6 octahedra, and edges with two equivalent CaO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tl–O bond distances ranging from 2.16–2.52 Å. In the third Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, corners with two equivalent CaO7 pentagonal bipyramids, edges with two equivalent CaO6 octahedra, and edges with four TlO6 octahedra. The corner-sharing octahedra tilt angles range from 6–63°. There are a spread of Tl–O bond distances ranging from 2.28–2.52 Å. In the fourth Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with four TlO6 octahedra, edges with three CaO6 octahedra, and edges with five TlO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Tl–O bond distances ranging from 2.16–2.51 Å. In the fifth Tl site, Tl is bonded to six O atoms to form distorted TlO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four TlO6 octahedra, edges with three TlO6 octahedra, and edges with six CaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. There are a spread of Tl–O bond distances ranging from 2.25–2.67 Å. There are eighteen inequivalent O sites. In the first O site, O is bonded to two Ca and four equivalent Tl atoms to form OCa2Tl4 octahedra that share corners with four OCa2Tl4 octahedra, corners with four equivalent OCa3Tl2 trigonal bipyramids, edges with four OCa2Tl4 octahedra, and edges with eight OCa4Tl square pyramids. The corner-sharing octahedra tilt angles range from 2–3°. In the second O site, O is bonded to four Ca and two equivalent Tl atoms to form OCa4Tl2 octahedra that share corners with four equivalent OCa4Tl square pyramids, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with six OCa4Tl2 octahedra, edges with two equivalent OCa4Tl square pyramids, and edges with four OCa2Tl2 tetrahedra. In the third O site, O is bonded to two Ca and two equivalent Tl atoms to form distorted OCa2Tl2 tetrahedra that share corners with four OCaTl5 octahedra, corners with four OCa4Tl square pyramids, corners with two equivalent OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, and edges with three OCa2Tl4 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fourth O site, O is bonded to two Ca and two equivalent Tl atoms to form OCa2Tl2 tetrahedra that share corners with four OCa2Tl4 octahedra, corners with four OCa4Tl square pyramids, corners with two equivalent OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, and edges with three OCa4Tl2 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the fifth O site, O is bonded to four Ca and one Tl atom to form OCa4Tl square pyramids that share corners with three equivalent OCa4Tl square pyramids, corners with two OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, edges with four OCa2Tl4 octahedra, edges with three OCa4Tl square pyramids, and edges with two OCa3Tl2 trigonal bipyramids. In the sixth O site, O is bonded to three Ca and two Tl atoms to form distorted OCa3Tl2 trigonal bipyramids that share corners with three OCa2Tl4 octahedra, corners with four OCa4Tl square pyramids, corners with four OCa2Tl2 tetrahedra, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with two OCa2Tl4 octahedra, edges with two OCa4Tl square pyramids, and edges with three OCa3Tl2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–41°. In the seventh O site, O is bonded to two Ca and four Tl atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa2Tl4 octahedra, edges with two equivalent OCa4Tl square pyramids, an edgeedge with one OCa2Tl2 tetrahedra, and edges with four OCa3Tl2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the eighth O site, O is bonded to one Ca and five Tl atoms to form OCaTl5 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa2Tl4 octahedra, edges with two equivalent OCa4Tl square pyramids, an edgeedge with one OCa2Tl2 tetrahedra, and edges with four OCa3Tl2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the ninth O site, O is bonded to four Ca and one Tl atom to form OCa4Tl square pyramids that share corners with two equivalent OCa4Tl2 octahedra, corners with three equivalent OCa4Tl square pyramids, corners with two OCa2Tl2 tetrahedra, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with five OCa4Tl2 octahedra, edges with three OCa4Tl square pyramids, and an edgeedge with one OCa3Tl2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–6°. In the tenth O site, O is bonded to four Ca and one Tl atom to form distorted OCa4Tl square pyramids that share corners with two equivalent OCa4Tl2 octahedra, corners with two OCa2Tl2 tetrahedra, corners with five OCa4Tl trigonal bipyramids, edges with five OCa2Tl4 octahedra, edges with two equivalent OCa4Tl square pyramids, and edges with two OCa4Tl trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–6°. In the eleventh O site, O is bonded to two Ca and four Tl atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa4Tl2 octahedra, edges with four OCa4Tl square pyramids, an edgeedge with one OCaTl3 tetrahedra, and edges with two equivalent OCa4Tl trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the twelfth O site, O is bonded to two Ca and four Tl atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa4Tl2 octahedra, edges with four OCa4Tl square pyramids, an edgeedge with one OCa2Tl2 tetrahedra, and edges with two equivalent OCa4Tl trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. In the thirteenth O site, O is bonded to four Ca and one Tl atom to form distorted OCa4Tl trigonal bipyramids that share corners with three OCa4Tl2 octahedra, corners with four OCa4Tl square pyramids, corners with four OCa2Tl2 tetrahedra, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with two OCa2Tl4 octahedra, edges with two OCa4Tl square pyramids, and edges with three OCa4Tl trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–43°. In the fourteenth O site, O is bonded to three Ca and two Tl atoms to form distorted OCa3Tl2 trigonal bipyramids that share corners with three equivalent OCa4Tl square pyramids, corners with two OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, edges with four OCa2Tl4 octahedra, an edgeedge with one OCa4Tl square pyramid, and edges with four OCa3Tl2 trigonal bipyramids. In the fifteenth O site, O is bonded to two Ca and two equivalent Tl atoms to form OCa2Tl2 tetrahedra that share corners with four OCa2Tl4 octahedra, corners with two equivalent OCa4Tl square pyramids, corners with two equivalent OCaTl3 tetrahedra, corners with six OCa3Tl2 trigonal bipyramids, and edges with three OCa4Tl2 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the sixteenth O site, O is bonded to one Ca and three Tl atoms to form distorted OCaTl3 tetrahedra that share corners with four OCaTl5 octahedra, corners with two equivalent OCa4Tl square pyramids, corners with two equivalent OCa2Tl2 tetrahedra, corners with six

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Fe21O23 by Materials Project

Fe21O23 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Fe+2.19+ sites. In the first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Fe–O bond distances ranging from 2.14–2.29 Å. In the third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.25 Å. In the fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 2.14–2.31 Å. In the fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. In the sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 1.99–2.28 Å. In the eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.02–2.20 Å. In the ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the tenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.14–2.25 Å. In the eleventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Fe–O bond distances ranging from 2.14–2.25 Å. In the twelfth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Fe–O bond distances ranging from 2.07–2.35 Å. In the thirteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Fe–O bond distances ranging from 2.11–2.24 Å. In the fourteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Fe–O bond distances ranging from 2.14–2.27 Å. In the fifteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.01–2.23 Å. In the sixteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Fe–O bond distances ranging from 2.13–2.26 Å. In the seventeenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Fe–O bond distances ranging from 2.14–2.21 Å. In the eighteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.14–2.31 Å. In the nineteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.03–2.15 Å. In the twentieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.14–2.24 Å. In the twenty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Fe–O bond distances ranging from 2.10–2.23 Å. There are twenty-three inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–8°. In the third O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the fourth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with four OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the fifth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–10°. In the sixth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with four OFe6 octahedra, and edges with eight OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the seventh O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–8°. In the eighth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with four OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the ninth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the tenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–10°. In the eleventh O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the twelfth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. In the thirteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the fourteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 5–10°. In the fifteenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. In the sixteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share a cornercorner with one OFe6 octahedra, corners with eight OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedral tilt angles are 10°. In the seventeenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. In the eighteenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the nineteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share a cornercorner with one OFe6 octahedra, corners with eight OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the twentieth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the twenty-first O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 3–7°. In the twenty-second O2- site, O2- is bonded

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mn23As16 by Materials Project

Mn23As16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mn–As bond distances ranging from 2.43–2.55 Å. In the second Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Mn–As bond distances ranging from 2.41–2.45 Å. In the third Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Mn–As bond distances ranging from 2.40–2.47 Å. In the fourth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–As bond distances ranging from 2.40–2.48 Å. In the fifth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, a cornercorner with one MnAs4 tetrahedra, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of Mn–As bond distances ranging from 2.45–2.60 Å. In the sixth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Mn–As bond distances ranging from 2.44–2.60 Å. In the seventh Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, a cornercorner with one MnAs4 tetrahedra, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 26–47°. There are a spread of Mn–As bond distances ranging from 2.52–2.69 Å. In the eighth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, a cornercorner with one MnAs4 tetrahedra, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 27–47°. There are a spread of Mn–As bond distances ranging from 2.53–2.69 Å. In the ninth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 21°. There are a spread of Mn–As bond distances ranging from 2.46–2.52 Å. In the tenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Mn–As bond distances ranging from 2.47–2.53 Å. In the eleventh Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mn–As bond distances ranging from 2.48–2.57 Å. In the twelfth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mn–As bond distances ranging from 2.48–2.56 Å. In the thirteenth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with two equivalent MnAs4 tetrahedra, corners with six MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, edges with two MnAs4 tetrahedra, edges with four MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.49–2.62 Å. In the fourteenth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with four MnAs4 tetrahedra, corners with six MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, an edgeedge with one MnAs4 tetrahedra, edges with four MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.49–2.57 Å. In the fifteenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Mn–As bond distances ranging from 2.45–2.57 Å. In the sixteenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–As bond distances ranging from 2.45–2.59 Å. In the seventeenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, edges with two MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Mn–As bond distances ranging from 2.43–2.54 Å. In the eighteenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, edges with two MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Mn–As bond distances ranging from 2.40–2.54 Å. In the nineteenth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with four MnAs4 tetrahedra, corners with four MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, edges with six MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.50–2.59 Å. In the twentieth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with five MnAs4 tetrahedra, corners with four MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, edges with six MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.48–2.58 Å. In the twenty-first Mn2+ site, Mn2+ is bonded to four As+2.88- atoms to form distorted MnAs4 tetrahedra that share corners with five MnAs6 octahedra, corners with three MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, an edgeedge with one MnAs6 octahedra, edges with three MnAs5 square pyramids, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 20–50°. There are a spread of Mn–As bond distances ranging from 2.35–2.46 Å. In the twenty-second Mn2+ site, Mn2+ is bonded to four As+2.88- atoms to form distorted MnAs4 tetrahedra that share corners with five MnAs6 octahedra, corners with three MnAs5 square pyramids, corners with two equivalent MnAs4 tetrahedra, a cornercorner with one MnAs5 trigonal bipyramid, an edgeedge with one MnAs6 octahedra, edges with three MnAs5 square pyramids, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of Mn–As bond distances ranging from 2.40–2.45 Å. In the twenty-third Mn2+ site, Mn2+ is bonded to four As+2.88- atoms to form distorted MnAs4 tetrahedra that share corners with five MnAs6 octahedra, corners with three MnAs5 square pyramids, corners with two equivalent MnAs4 tetrahedra, a cornercorner with one MnAs5 trigonal bipyramid, an edgeedge with one MnAs6 octahedra, edges with three MnAs5 square pyramids, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–51°. There are a spread of Mn–As bond distances ranging from 2.39–2.45 Å. There are sixteen inequivalent As+2.88- sites. In the first As+2.88- site, As+2.88- is bonded in

36 MATERIALS SCIENCE↗