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DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.08–2.21 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 two MnO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.08–2.18 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 two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.04–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.00–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.03–2.39 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.04–2.34 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.41 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.02–2.22 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mn–O bond distances ranging from 1.94–2.21 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.91–2.16 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Co–O bond distances ranging from 1.84–2.19 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.88–1.95 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.90–2.13 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.91–2.16 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the seventh O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the ninth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the eleventh O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the fourteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2VO2F by Materials Project

Li2VO2F is Caswellsilverite-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 in a 6-coordinate geometry to two O2- and four F1- atoms. There are one shorter (1.87 Å) and one longer (2.44 Å) Li–O bond lengths. There are two shorter (2.03 Å) and two longer (2.39 Å) Li–F bond lengths. In the second Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with two equivalent LiO3F3 octahedra, corners with three VO5F octahedra, edges with three VO5F octahedra, and edges with seven LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are one shorter (2.17 Å) and two longer (2.22 Å) Li–O bond lengths. There are one shorter (2.02 Å) and two longer (2.08 Å) Li–F bond lengths. In the third Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with three LiO4F2 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with seven LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.22–2.27 Å. There are two shorter (2.03 Å) and one longer (2.10 Å) Li–F bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- and two equivalent F1- atoms to form distorted LiO4F2 octahedra that share corners with two equivalent LiO3F3 octahedra, corners with three VO6 octahedra, edges with three VO4F2 octahedra, and edges with five LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 1.92–2.42 Å. Both Li–F bond lengths are 2.11 Å. In the fifth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with three LiO3F3 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Li–O bond distances ranging from 2.19–2.21 Å. There are one shorter (2.03 Å) and two longer (2.09 Å) Li–F bond lengths. In the sixth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with three LiO3F3 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Li–O bond distances ranging from 2.17–2.22 Å. All Li–F bond lengths are 2.07 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to four O2- and two F1- atoms. There are two shorter (1.93 Å) and two longer (2.44 Å) Li–O bond lengths. There are one shorter (2.11 Å) and one longer (2.28 Å) Li–F bond lengths. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to five O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.91–2.53 Å. The Li–F bond length is 2.24 Å. In the ninth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share a cornercorner with one LiO3F3 octahedra, corners with three VO6 octahedra, edges with three VO5F octahedra, and edges with six LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are two shorter (2.21 Å) and one longer (2.34 Å) Li–O bond lengths. All Li–F bond lengths are 2.05 Å. In the tenth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with two equivalent LiO3F3 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. All Li–O bond lengths are 2.20 Å. There are one shorter (2.00 Å) and two longer (2.11 Å) Li–F bond lengths. There are five inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with three LiO3F3 octahedra, edges with three LiO3F3 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of V–O bond distances ranging from 2.01–2.06 Å. The V–F bond length is 2.15 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO3F3 octahedra, edges with six LiO3F3 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of V–O bond distances ranging from 2.04–2.08 Å. In the third V3+ site, V3+ is bonded to four O2- and two equivalent F1- atoms to form VO4F2 octahedra that share corners with four LiO3F3 octahedra, an edgeedge with one LiO4F2 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of V–O bond distances ranging from 1.97–2.02 Å. Both V–F bond lengths are 2.18 Å. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO3F3 octahedra, edges with six LiO3F3 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of V–O bond distances ranging from 2.04–2.08 Å. In the fifth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO3F3 octahedra, edges with five LiO3F3 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of V–O bond distances ranging from 2.05–2.07 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form distorted OLi3V3 octahedra that share a cornercorner with one FLi6 octahedra, corners with five OLi3V3 octahedra, edges with four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. In the second O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with two equivalent FLi6 octahedra, corners with four OLi3V3 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with two equivalent OLi3V3 octahedra, corners with four FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine 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 V3+ atoms to form OLi3V3 octahedra that share corners with three OLi3V3 octahedra, corners with three FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share a cornercorner with one FLi6 octahedra, corners with five OLi3V3 octahedra, edges with four FLi3V3 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. In the sixth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3V3 octahedra, edges with six OLi3V3 octahedra, and edges with six FLi6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. In the seventh O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three OLi3V3 octahedra, corners with three FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share a cornercorner with one OLi3V3 octahedra, corners with five FLi6 octahedra, edges with two FLi3V3 octahedra, and edges with ten OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–20°. In the ninth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three OLi3V3 octahedra, corners with three FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with two equivalent FLi6 octahedra, corners with four OLi6 octahedra, edges with five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are five inequivalent F1- sites. In the first F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share corners with two equivalent FLi3V3 octahedra, corners with four OLi3V3 octahedra, edges with five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 4–20°. In the second F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share corners with six OLi3V3 octahedra, edges with six OLi3V3 octahedra, and edges with six FLi6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. In the third F1- site, F1- is bonded to three Li1+ and three V3+ atoms to form FLi3V3 octahedra that share corners with three OLi3V3 octahedra, corners with three FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. In the fourth F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share a cornercorner with one FLi3V3 octahedra, corners with five OLi3V3 octahedra, edges with four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. In the fifth F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share corners with six OLi3V3 octahedra, edges with six OLi3V3 octahedra, and edges with six FLi6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 1.98–2.32 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.05–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.05–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three 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 2.00–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 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 2.10–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.10–2.19 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.83–2.08 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.99–2.11 Å. In the second Co+2.80+ site, Co+2.80+ 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 4–9°. There are a spread of Co–O bond distances ranging from 2.01–2.07 Å. In the third Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.34 Å. In the fourth Co+2.80+ site, Co+2.80+ 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 4–9°. There are a spread of Co–O bond distances ranging from 2.00–2.09 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the third O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the twelfth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of distorted corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.04–2.20 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. 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 a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.42 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.02–2.35 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 two MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 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 2.05–2.34 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 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 2.08–2.38 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.02–2.22 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Mn–O bond distances ranging from 1.92–2.02 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.89–2.15 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Co–O bond distances ranging from 1.90–2.23 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Co–O bond distances ranging from 1.86–2.20 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.91–2.22 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.90–2.22 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the twelfth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 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 2.07–2.27 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.19 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 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 2.03–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 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 Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 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 2.09–2.24 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.10–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 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 2.06–2.13 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.90–2.02 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.90–2.14 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.99–2.06 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.91–2.07 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.95–2.08 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the ninth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.08–2.20 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 two equivalent CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Li–O bond distances ranging from 2.02–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 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 2.08–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.01–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.04–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four MnO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.89–2.03 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Co–O bond distances ranging from 1.92–2.01 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Co–O bond distances ranging from 1.89–2.20 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.97–2.11 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.91–2.15 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Co–O bond distances ranging from 1.94–2.18 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the second O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the fourth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the twelfth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.08–2.31 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 two MnO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.01–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.05–2.36 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 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 2.04–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with four 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 2.04–2.22 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 two MnO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.05–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Co–O bond distances ranging from 1.89–2.09 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.95–2.14 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 1.96–2.10 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.89–2.15 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 1.92–2.10 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the ninth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the tenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.06–2.35 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 two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 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 2.05–2.20 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.10–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.38 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.03–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 1.91–2.17 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Co–O bond distances ranging from 1.91–2.22 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.90–2.13 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.92–2.20 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.87–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the fourth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 5–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the eleventh O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–6°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 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 2.01–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.06–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with four CoO6 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 2.11–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.12–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 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 2.09–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with four 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 2.01–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 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 2.01–2.23 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.93–2.21 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.24 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.92–2.13 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.74–2.27 Å. In the third Co+2.80+ site, Co+2.80+ 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 4–9°. There are a spread of Co–O bond distances ranging from 1.91–2.21 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.92–2.13 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the twelfth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Cd(GaO2)2 by Materials Project

CdGa2O4 is Spinel-like structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twelve inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with three equivalent CdO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are three shorter (2.13 Å) and one longer (2.22 Å) Cd–O bond lengths. In the second Cd2+ site, Cd2+ is bonded to six O2- atoms to form CdO6 octahedra that share corners with three equivalent CdO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, and edges with six GaO6 octahedra. There are three shorter (2.24 Å) and three longer (2.32 Å) Cd–O bond lengths. In the third Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with three equivalent CdO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–69°. There are three shorter (2.14 Å) and one longer (2.16 Å) Cd–O bond lengths. In the fourth Cd2+ site, Cd2+ is bonded to six O2- atoms to form CdO6 octahedra that share corners with three equivalent CdO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, and edges with six GaO6 octahedra. There are three shorter (2.26 Å) and three longer (2.31 Å) Cd–O bond lengths. In the fifth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are one shorter (2.13 Å) and three longer (2.16 Å) Cd–O bond lengths. In the sixth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are three shorter (2.17 Å) and one longer (2.18 Å) Cd–O bond lengths. In the seventh Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are three shorter (2.18 Å) and one longer (2.22 Å) Cd–O bond lengths. In the eighth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are one shorter (2.15 Å) and three longer (2.17 Å) Cd–O bond lengths. In the ninth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are one shorter (2.16 Å) and three longer (2.17 Å) Cd–O bond lengths. In the tenth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are three shorter (2.17 Å) and one longer (2.18 Å) Cd–O bond lengths. In the eleventh Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are three shorter (2.16 Å) and one longer (2.18 Å) Cd–O bond lengths. In the twelfth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 60–65°. There are three shorter (2.17 Å) and one longer (2.24 Å) Cd–O bond lengths. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three equivalent CdO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There is three shorter (1.93 Å) and one longer (1.98 Å) Ga–O bond length. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CdO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two CdO6 octahedra, and edges with four equivalent GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.22 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three equivalent CdO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There is one shorter (1.93 Å) and three longer (1.97 Å) Ga–O bond length. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one GaO4 tetrahedra, corners with five CdO4 tetrahedra, an edgeedge with one CdO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.30 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are two shorter (2.03 Å) and four longer (2.05 Å) Ga–O bond lengths. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are three shorter (2.02 Å) and three longer (2.04 Å) Ga–O bond lengths. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.03–2.05 Å. In the eighth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are three shorter (2.03 Å) and three longer (2.05 Å) Ga–O bond lengths. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.03–2.05 Å. In the tenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are three shorter (2.03 Å) and three longer (2.05 Å) Ga–O bond lengths. In the eleventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent GaO4 tetrahedra, corners with four CdO4 tetrahedra, an edgeedge with one CdO6 octahedra, and edges with five GaO6 octahedra. There are four shorter (2.02 Å) and two longer (2.12 Å) Ga–O bond lengths. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six CdO4 tetrahedra and edges with six GaO6 octahedra. There are three shorter (2.02 Å) and three longer (2.03 Å) Ga–O bond lengths. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Cd2+ and two equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCd2Ga2 trigonal pyramids. In the second O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cd2+ and three Ga3+ atoms. In the fourth O2- site, O2- is bonded to two Cd2+ and two equivalent Ga3+ atoms to form distorted OCd2Ga2 trigonal pyramids that share corners with four equivalent OCdGa3 tetrahedra, corners with three OCdGa3 trigonal pyramids, and edges with three OCd2Ga2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the sixth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form distorted OCdGa3 trigonal pyramids that share corners with nine OCdGa3 tetrahedra and edges with three equivalent OCd2Ga2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form OCdGa3 tetrahedra that share corners with six OCdGa3 tetrahedra, corners with six OCd2Ga2 trigonal pyramids, and edges with two equivalent OCdGa3 tetrahedra. In the eighth O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the tenth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Cd2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OCdGa3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form distorted OCdGa3 trigonal pyramids that share corners with three equivalent OCdGa3 tetrahedra, corners with three equivalent OCd2Ga2 trigonal pyramids, and edges with three equivalent OCdGa3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cd2+ and three Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Cd2+ and three equivalent Ga3+ atoms to form corner-sharing OCdGa3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li5GeN3 by Materials Project

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

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc10Mn17S32 by Materials Project

Sc10Mn17S32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent MnS6 octahedra, a cornercorner with one MnS4 tetrahedra, corners with two equivalent MnS4 trigonal pyramids, edges with three MnS6 octahedra, and edges with four ScS6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Sc–S bond distances ranging from 2.54–2.65 Å. In the second Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent ScS6 octahedra, a cornercorner with one MnS4 tetrahedra, corners with two equivalent MnS4 trigonal pyramids, edges with three ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Sc–S bond distances ranging from 2.47–2.76 Å. In the third Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent MnS4 tetrahedra, edges with two MnS6 octahedra, and edges with four ScS6 octahedra. There are a spread of Sc–S bond distances ranging from 2.49–2.62 Å. In the fourth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, an edgeedge with one ScS6 octahedra, edges with seven MnS6 octahedra, and a faceface with one MnS4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.52–2.73 Å. In the fifth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, edges with eight MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.53–2.73 Å. In the sixth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, corners with two equivalent MnS4 tetrahedra, a cornercorner with one MnS4 trigonal pyramid, and edges with eight MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.55–2.65 Å. In the seventh Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, corners with three MnS4 tetrahedra, and edges with eight MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.56–2.64 Å. In the eighth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, an edgeedge with one ScS6 octahedra, edges with seven MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Sc–S bond distances ranging from 2.50–2.74 Å. In the ninth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent MnS6 octahedra, corners with three MnS4 tetrahedra, edges with three MnS6 octahedra, and edges with four ScS6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Sc–S bond distances ranging from 2.53–2.66 Å. In the tenth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent ScS6 octahedra, corners with three MnS4 tetrahedra, edges with three ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Sc–S bond distances ranging from 2.52–2.72 Å. There are seventeen inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mn–S bond distances ranging from 2.40–2.95 Å. In the second Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share a cornercorner with one MnS4 tetrahedra, corners with two equivalent MnS4 trigonal pyramids, edges with two MnS6 octahedra, and edges with six ScS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.35–2.71 Å. In the third Mn2+ site, Mn2+ is bonded to six S2- atoms to form distorted MnS6 octahedra that share corners with three equivalent ScS6 octahedra, corners with three equivalent MnS6 octahedra, edges with four ScS6 octahedra, edges with four MnS6 octahedra, and a faceface with one MnS4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Mn–S bond distances ranging from 2.45–2.95 Å. In the fourth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with six MnS6 octahedra, corners with two equivalent MnS4 tetrahedra, a cornercorner with one MnS4 trigonal pyramid, edges with four ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–S bond distances ranging from 2.49–2.65 Å. In the fifth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three equivalent MnS4 trigonal pyramids, edges with five ScS6 octahedra, and edges with five MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.40–2.70 Å. In the sixth Mn2+ site, Mn2+ is bonded to six S2- atoms to form distorted MnS6 octahedra that share corners with six MnS6 octahedra, edges with four ScS6 octahedra, edges with four MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Mn–S bond distances ranging from 2.46–3.02 Å. In the seventh Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with two equivalent MnS4 tetrahedra, a cornercorner with one MnS4 trigonal pyramid, edges with four ScS6 octahedra, and edges with six MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.41–2.71 Å. In the eighth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with six MnS6 octahedra, corners with three MnS4 tetrahedra, edges with four ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Mn–S bond distances ranging from 2.49–2.65 Å. In the ninth Mn2+ site, Mn2+ is bonded to four S2- atoms to form distorted MnS4 trigonal pyramids that share corners with five ScS6 octahedra, corners with seven MnS6 octahedra, a faceface with one ScS6 octahedra, and a faceface with one MnS6 octahedra. The corner-sharing octahedra tilt angles range from 46–77°. There are a spread of Mn–S bond distances ranging from 2.31–2.46 Å. In the tenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three equivalent MnS4 tetrahedra, edges with four ScS6 octahedra, and edges with six MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.40–2.70 Å. In the eleventh Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three MnS4 tetrahedra, edges with four ScS6 octahedra, and edges with six MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.40–2.70 Å. In the twelfth Mn2+ site, Mn2+ is bonded to four S2- atoms to form distorted MnS4 tetrahedra that share corners with three ScS6 octahedra, corners with nine MnS6 octahedra, a faceface with one ScS6 octahedra, and a faceface with one MnS6 octahedra. The corner-sharing octahedra tilt angles range from 45–75°. There are a spread of Mn–S bond distances ranging from 2.31–2.45 Å. In the thirteenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three equivalent MnS4 tetrahedra, edges with five ScS6 octahedra, and edges with five MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.41–2.71 Å. In the fourteenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three MnS4 tetrahedra, edges with two MnS6 octahedra, and edges with six ScS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.49–2.76 Å. In the fifteenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form distorted MnS6 octahedra that share corners with three equivalent ScS6 octahedra, corners with three equivalent MnS6 octahedra, edges with four ScS6 octahedra, edges with four MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mn–S bond distances ranging from 2.43–3.00 Å. In the sixteenth Mn2+ site, Mn2+ is bonded to four S2- atoms to form distorted MnS4 tetrahedra that share corners with four ScS6 octahedra, corners with eight MnS6 octahedra, a faceface with one ScS6 octahedra, and a faceface with one MnS6 octahedra. The corner-sharing octahedra tilt angles range from 45–75°. There are a spread of Mn–S bond distances ranging from 2.31–2.45 Å. In the seventeenth Mn2+ site, Mn2+ is bonded to four S2- atoms to form MnS4 tetrahedra that share corners with three MnS6 octahedra and corners with nine ScS6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mn–S bond distances ranging from 2.32–2.42 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Sc3+ and one Mn2+ atom. In the second S2- site, S2- is bonded to three Sc3+ and two Mn2+ atoms to form SSc3Mn2 square pyramids that share corners with two equivalent SSc2Mn4 octahedra, corners with four SSc2Mn3 trigonal bipyramids, edges with two equivalent SSc3Mn3 octahedra, an edgeedge with one SSc2Mn3 square pyramid, and an edgeedge with one SSc2Mn3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–15°. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sc3+ and two Mn2+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to two Sc3+ and one Mn2+ atom. In the fifth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form distorted SSc2Mn3 trigonal bipyramids that share a cornercorner with one SSc3Mn2 square pyramid, edges with three SSc3Mn3 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. In the sixth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form SSc2Mn3 square pyramids that share corners with five SSc3Mn3 octahedra, a cornercorner with one SSc2Mn3 trigonal bipyramid, edges with two equivalent SSc2Mn4 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–16°. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to one Sc3+ and four Mn2+ atoms. In the eighth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form SSc2Mn3 square pyramids that share corners with five SSc2Mn4 octahedra, a cornercorner with one SSc2Mn3 trigonal bipyramid, edges with two equivalent SSc2Mn4 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–15°. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Mn2+ atoms. In the tenth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form distorted SSc2Mn3 trigonal bipyramids that share corners with three equivalent SSc3Mn2 square pyramids, a cornercorner with one SSc2Mn2 tetrahedra, an edgeedge with one SSc3Mn3 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. In the eleventh S2- site, S2- is bonded to three Sc3+ and three Mn2+ atoms to form distorted SSc3Mn3 octahedra that share corners with three equivalent SSc2Mn3 square pyram

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li10Ge(PS6)2 by Materials Project

Li10GeP2S12 is Aluminum carbonitride-derived structured and 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 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.50–3.19 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.51–3.11 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent PS4 tetrahedra, corners with three LiS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with three LiS4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–S bond distances ranging from 2.56–3.01 Å. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, edges with four LiS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. There are a spread of Li–S bond distances ranging from 2.52–2.83 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Li–S bond distances ranging from 2.35–2.47 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.51–3.22 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and an edgeedge with one GeS4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Li–S bond distances ranging from 2.41–2.51 Å. In the eighth Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with six LiS4 tetrahedra, edges with two LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–S bond distances ranging from 2.54–3.10 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–71°. There are a spread of Li–S bond distances ranging from 2.37–2.50 Å. In the tenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with three LiS6 octahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent GeS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–41°. There are a spread of Li–S bond distances ranging from 2.43–2.88 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–68°. There are a spread of Li–S bond distances ranging from 2.36–2.60 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Li–S bond distances ranging from 2.47–2.65 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with three LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.53 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one GeS4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Li–S bond distances ranging from 2.41–2.56 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–S bond distances ranging from 2.38–2.48 Å. In the sixteenth Li1+ site, Li1+ is bonded to five S2- atoms to form distorted LiS5 trigonal bipyramids that share a cornercorner with one PS4 tetrahedra, corners with two GeS4 tetrahedra, corners with seven LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.92 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two equivalent LiS6 octahedra, corners with two GeS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Li–S bond distances ranging from 2.45–2.54 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Li–S bond distances ranging from 2.43–2.64 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Li–S bond distances ranging from 2.42–2.97 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with three LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one PS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 69°. There are a spread of Li–S bond distances ranging from 2.48–2.58 Å. There are two inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four S2- atoms to form GeS4 tetrahedra that share corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Ge–S bond distances ranging from 2.23–2.25 Å. In the second Ge4+ site, Ge4+ is bonded to four S2- atoms to form GeS4 tetrahedra that share corners with four LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Ge–S bond distances ranging from 2.22–2.27 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with five LiS6 octahedra and corners with five LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–57°. There are a spread of P–S bond distances ranging from 2.02–2.07 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three LiS6 octahedra, corners with three LiS4 tetrahedra, edges with two LiS4 tetrahedra, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 27–57°. There are a spread of P–S bond distances ranging from 2.04–2.06 Å. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, edges with three LiS6 octahedra, and edges with two LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to four Li1+ and one P5+ atom. In the second S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P square pyramids that share corners with three SLi4P trigonal bipyramids, corners with two SLi3P trigonal pyramids, an edgeedge with one SLi4Ge square pyramid, and edges with two SLi4P trigonal bipyramids. In the third S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the seventh S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P trigonal bipyramids that share corners with four SLi3P trigonal pyramids, an edgeedge with one SLi4P square pyramid, and edges with two SLi4P trigonal bipyramids. In the eighth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P trigonal pyramids that share a cornercorner with one SLi4P square pyramid, corners with three SLi4P trigonal bipyramids, corners with four SLi3P trigonal pyramids, and an edgeedge with one SLi4Ge trigonal bipyramid. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one Ge4+

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li6Co3P8O29 by Materials Project

Li6Co3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.17 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.19 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.28–2.54 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–72°. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the eleventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.09 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.15 Å. There are six inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.90–2.10 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.93–2.05 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.91–2.10 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.84–1.99 Å. In the fifth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.87–2.16 Å. In the sixth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.90–2.06 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CoO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–40°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CoO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CoO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pla

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg16Si8HO32 by Materials Project

Mg16Si8HO32 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Mg–O bond distances ranging from 2.09–2.27 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Mg–O bond distances ranging from 2.06–2.68 Å. In the fourth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Mg–O bond distances ranging from 2.06–2.27 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of Mg–O bond distances ranging from 2.04–2.24 Å. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to one H and five O atoms. The Mg–H bond length is 2.12 Å. There are a spread of Mg–O bond distances ranging from 1.95–2.25 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Mg–O bond distances ranging from 2.08–2.24 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Mg–O bond distances ranging from 2.09–2.27 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Mg–O bond distances ranging from 2.10–2.17 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Mg–O bond distances ranging from 2.08–2.34 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Mg–O bond distances ranging from 2.10–2.28 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Mg–O bond distances ranging from 2.07–2.26 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Si–O bond distances ranging from 1.62–1.75 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. H is bonded in a 2-coordinate geometry to one Mg and two O atoms. There is one shorter (1.06 Å) and one longer (1.56 Å) H–O bond length. There are thirty-two inequivalent O sites. In the first O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the second O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si tetrahedra. In the third O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the eighth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si trigonal pyramids. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the tenth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si trigonal pyramids. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fifteenth O site, O is bonded in a 2-coordinate geometry to three Mg, one Si, and one H atom. In the sixteenth O site, O is bonded in a 1-coordinate geometry to two Mg, one Si, and one H atom. In the seventeenth O site, O is bonded to three Mg and one Si atom to form distorted edge-sharing OMg3Si tetrahedra. In the eighteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the nineteenth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the twentieth O site, O is bonded in a distorted trigonal pyramidal geometry to three Mg and one Si atom. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-third O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg16Si8HO32 by Materials Project

Mg16Si8HO32 is Ilmenite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 2.07–2.33 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the fourth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Mg–O bond distances ranging from 2.04–2.25 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 2.07–2.33 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Mg–O bond distances ranging from 2.09–2.25 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Mg–O bond distances ranging from 2.09–2.21 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 2.12–2.20 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Mg–O bond distances ranging from 2.07–2.25 Å. In the fifteenth Mg site, Mg is bonded in a 7-coordinate geometry to one H and six O atoms. The Mg–H bond length is 2.03 Å. There are a spread of Mg–O bond distances ranging from 2.04–2.26 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with six MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 2.07–2.46 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Si–O bond distances ranging from 1.62–1.78 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Si–O bond distances ranging from 1.64–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Si–O bond distances ranging from 1.65–1.68 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Si–O bond distances ranging from 1.65–1.67 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is two shorter (1.65 Å) and two longer (1.67 Å) Si–O bond length. H is bonded in a single-bond geometry to one Mg and two O atoms. There is one shorter (1.02 Å) and one longer (1.73 Å) H–O bond length. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a distorted trigonal pyramidal geometry to three Mg and one Si atom. In the second O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si tetrahedra. In the third O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the fourth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the seventh O site, O is bonded in a distorted single-bond geometry to three Mg, one Si, and one H atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the tenth O site, O is bonded in a 4-coordinate geometry to three Mg and one Si atom. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the seventeenth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the eighteenth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si tetrahedra. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the twentieth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si tetrahedra. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-eighth O site, O is bonded in a 5-coordinate geometry to three Mg, one Si, and one H atom. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgTi23O40 by Materials Project

MgTi23O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. There are twenty-three inequivalent Ti+3.39+ sites. In the first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the third Ti+3.39+ site, Ti+3.39+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the fourth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.16 Å. In the sixth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.21 Å. In the seventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the eighth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.24 Å. In the ninth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.20 Å. In the tenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the eleventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twelfth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. In the seventeenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eighteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.24 Å. In the nineteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the twentieth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the twenty-first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twenty-second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. In the twenty-third Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.39+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-ninth O

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca3Mn4O8 by Materials Project

Ca3Mn4O8 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with five MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with two equivalent CaO6 octahedra, an edgeedge with one MnO5 square pyramid, edges with two MnO5 trigonal bipyramids, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 40–64°. There are a spread of Ca–O bond distances ranging from 2.26–2.52 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with six MnO5 square pyramids, edges with two equivalent CaO6 octahedra, edges with three MnO5 square pyramids, and a faceface with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of Ca–O bond distances ranging from 2.24–2.49 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, corners with three MnO5 trigonal bipyramids, edges with two equivalent CaO6 octahedra, edges with two MnO5 square pyramids, an edgeedge with one MnO5 trigonal bipyramid, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ca–O bond distances ranging from 2.22–2.51 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with four MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two equivalent CaO6 octahedra, edges with three MnO5 square pyramids, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 32–67°. There are a spread of Ca–O bond distances ranging from 2.27–2.48 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with eight CaO6 octahedra, corners with five MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with two MnO5 square pyramids, and edges with two MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–64°. There are a spread of Ca–O bond distances ranging from 2.29–2.60 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with eight CaO6 octahedra, corners with four MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, and edges with four MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 40–67°. There are a spread of Ca–O bond distances ranging from 2.34–2.60 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five CaO6 octahedra, corners with two MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 35–83°. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five CaO6 octahedra, corners with four MnO5 square pyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 31–79°. There are a spread of Mn–O bond distances ranging from 2.09–2.37 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with five CaO6 octahedra, corners with two MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 27–78°. There are a spread of Mn–O bond distances ranging from 2.07–2.35 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five CaO6 octahedra, corners with four MnO5 square pyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 trigonal bipyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 38–82°. There are a spread of Mn–O bond distances ranging from 1.95–2.24 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four CaO6 octahedra, corners with four MnO5 square pyramids, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 56–79°. There are a spread of Mn–O bond distances ranging from 1.98–2.49 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 43–72°. There are a spread of Mn–O bond distances ranging from 1.94–2.39 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with three CaO6 octahedra, and edges with two equivalent MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–74°. There are a spread of Mn–O bond distances ranging from 2.07–2.33 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with two equivalent MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 64–77°. There are a spread of Mn–O bond distances ranging from 2.11–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with three OCa3Mn2 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with four OCa3Mn2 trigonal bipyramids. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+2.50+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+2.50+ atoms. In the fourth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with six OCa3Mn2 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with two OCa3Mn2 trigonal bipyramids. In the fifth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, edges with two OCa2Mn3 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the sixth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with seven OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, an edgeedge with one OCa2Mn3 trigonal bipyramid, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the seventh O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, edges with two OCa2Mn3 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the eighth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form distorted OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+ and three Mn+2.50+ atoms. In the tenth O2- site, O2- is bonded to three Ca2+ and two Mn+2.50+ atoms to form distorted OCa3Mn2 trigonal bipyramids that share corners with four OCa2Mn3 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with five OCa2Mn3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded to three Ca2+ and two Mn+2.50+ atoms to form distorted OCa3Mn2 trigonal bipyramids that share corners with three OCa2Mn3 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with two OCa2Mn3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa2Mn3 trigonal bipyramids, edges with five OCa3Mn2 trigonal bipyramids, and edges with two OCa2Mn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with two OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with two OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with four OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+ and three Mn+2.50+ atoms. In the sixteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with four OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid.

36 MATERIALS SCIENCE↗