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Materials Data on Li9V6(P8O29)2 by Materials Project

Li9V6(P8O29)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the second Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.21 Å. In the third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.12 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 68–70°. There are a spread of Li–O bond distances ranging from 1.91–2.25 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.19 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.24 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.35 Å. In the ninth Li site, Li is bonded to six O 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 2.23–2.51 Å. There are six inequivalent V sites. In the first V site, V is bonded to six O atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.96 Å. In the second V site, V is bonded to six O atoms to form VO6 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 V–O bond distances ranging from 1.79–1.99 Å. In the third V site, V is bonded to six O atoms to form VO6 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 V–O bond distances ranging from 1.87–2.06 Å. In the fourth V site, V is bonded to six O atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the fifth V site, V is bonded to six O atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.99 Å. In the sixth V site, V is bonded to six O atoms to form VO6 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 V–O bond distances ranging from 1.88–2.04 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–39°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–35°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–47°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–34°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–33°. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. There are fifty-eight inequivalent O sites. In the first O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the third O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one V, and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the eighth O site, O is bonded in a 2-coordinate geometry to two Li and one P atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the twelfth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one V, and one P atom. In the thirteenth O site, O is bonded in a linear geometry to one Li and one P atom. In the fourteenth O site, O is bonded in a single-bond geometry to one P atom. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one V, and one P atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to two P atoms. In the twentieth O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the twenty-first O site, O is bonded in a distorted trigonal planar geometry to two Li and one P atom. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the twenty-third O site, O is bonded in a distorted T-shaped geometry to one Li, one V, and one P atom. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the twenty-seventh O site, O is bonded in a bent 120 degre

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 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 4–11°. There are a spread of Li–O bond distances ranging from 2.00–2.31 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent 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 3–8°. There are a spread of Li–O bond distances ranging from 2.13–2.27 Å. In the third 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 equivalent CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.01–2.44 Å. In the fourth 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 6–14°. There are a spread of Li–O bond distances ranging from 2.02–2.30 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 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 5–13°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.02–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 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 5–12°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ 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 three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Mn–O bond distances ranging from 1.89–2.03 Å. In the second Mn2+ site, Mn2+ 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 2–7°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 7–12°. There are a spread of Co–O bond distances ranging from 1.94–2.18 Å. In the second Co4+ site, Co4+ 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 4–13°. There are a spread of Co–O bond distances ranging from 1.94–2.24 Å. In the third Co4+ site, Co4+ 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 3–14°. There are a spread of Co–O bond distances ranging from 1.95–2.12 Å. In the fourth Co4+ site, Co4+ 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 four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.91–2.00 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ 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 0–13°. In the second O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the third O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co4+ 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 3–9°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ 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 2–6°. In the seventh O2- site, O2- is bonded to three Li1+, two Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ 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 3–9°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ 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 2–4°. In the twelfth O2- site, O2- is bonded to three Li1+, two Mn2+, and one Co4+ 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 1–8°. In the thirteenth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ 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°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted 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 6–15°. There are a spread of Li–O bond distances ranging from 1.99–2.64 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four 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 6–12°. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the third 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 4–6°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent 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 3–9°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the fifth 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.10–2.20 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 equivalent MnO6 octahedra, corners with three 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 3–15°. There are a spread of Li–O bond distances ranging from 2.06–2.27 Å. In the seventh 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 1.99–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Mn–O bond distances ranging from 1.97–2.23 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 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 1.90–2.02 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 4–11°. There are a spread of Co–O bond distances ranging from 1.99–2.19 Å. In the second Co4+ site, Co4+ 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 6–15°. There are a spread of Co–O bond distances ranging from 1.78–2.32 Å. In the third Co4+ site, Co4+ 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 4–11°. There are a spread of Co–O bond distances ranging from 1.96–2.11 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted 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 3–15°. There are a spread of Co–O bond distances ranging from 1.82–2.38 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form a mixture of distorted corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the second O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi5Co 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+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ 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 0–17°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗

Materials Data on LiCu2PO4 by Materials Project

LiCu2PO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.13 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. There are eight inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.40 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with four CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.07–2.31 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form distorted CuO4 trigonal pyramids that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.43 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.46 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with four CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.08–2.19 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 1.99–2.31 Å. In the seventh Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.09–2.19 Å. In the eighth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.05–2.25 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with five CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with five CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There is two shorter (1.56 Å) and two longer (1.57 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CuO4 tetrahedra, corners with six LiO4 tetrahedra, and corners with two CuO4 trigonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with six CuO4 tetrahedra, and corners with four CuO4 trigonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the second O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the third O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight 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 MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.06–2.21 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 equivalent CoO6 octahedra, corners with three MnO6 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 6–16°. There are a spread of Li–O bond distances ranging from 2.05–2.40 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 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 1–12°. There are a spread of Li–O bond distances ranging from 2.02–2.35 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three 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 1–19°. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent 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 4–13°. There are a spread of Li–O bond distances ranging from 2.02–2.44 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 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 4–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.10–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Li–O bond distances ranging from 2.02–2.16 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Mn–O bond distances ranging from 1.81–2.06 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 1–8°. There are a spread of Co–O bond distances ranging from 1.75–2.09 Å. In the second Co4+ site, Co4+ 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 4–10°. There are a spread of Co–O bond distances ranging from 1.91–2.09 Å. In the third Co4+ site, Co4+ 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 4–8°. There are a spread of Co–O bond distances ranging from 1.92–2.12 Å. In the fourth Co4+ site, Co4+ 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 3–19°. There are a spread of Co–O bond distances ranging from 2.05–2.14 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form a mixture of distorted edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form distorted OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the third O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–14°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three 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 1–10°. There are a spread of Li–O bond distances ranging from 2.06–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 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 2.05–2.17 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 equivalent 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 3–9°. 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 corners with two equivalent MnO6 octahedra, corners with four 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 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.25 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 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 4–11°. There are a spread of Li–O bond distances ranging from 2.10–2.26 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 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 Li–O bond distances ranging from 2.09–2.18 Å. In the seventh 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 5–9°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with 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 2.08–2.16 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ 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 1–8°. There are a spread of Mn–O bond distances ranging from 1.90–2.02 Å. In the second Mn2+ site, Mn2+ 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 3–7°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 4–10°. There are a spread of Co–O bond distances ranging from 1.87–2.14 Å. In the second Co4+ site, Co4+ 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 3–9°. There are a spread of Co–O bond distances ranging from 1.94–2.08 Å. In the third Co4+ site, Co4+ 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 1.96–2.15 Å. In the fourth Co4+ site, Co4+ 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 4–11°. There are a spread of Co–O bond distances ranging from 1.88–2.10 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ 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 1–6°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ 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 2–6°. In the seventh O2- site, O2- is bonded to three Li1+, two Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ 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 1–7°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co4+ 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 1–5°. In the twelfth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co4+ 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 0–7°. In the fourteenth O2- site, O2- is bonded to three Li1+, two Mn2+, and one Co4+ 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 1–6°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight 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 three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.04–2.26 Å. In the second 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 three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.05–2.45 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 equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Li–O bond distances ranging from 2.00–2.24 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 four CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent 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 2.07–2.20 Å. In the fifth 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Li–O bond distances ranging from 2.08–2.36 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.06–2.31 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 equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ 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 2–12°. There are a spread of Mn–O bond distances ranging from 1.83–2.11 Å. In the second Mn2+ site, Mn2+ 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 3–9°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 5–18°. There are a spread of Co–O bond distances ranging from 1.86–2.34 Å. In the second Co4+ site, Co4+ 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 3–11°. There are a spread of Co–O bond distances ranging from 2.01–2.16 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 2.01–2.12 Å. In the fourth Co4+ site, Co4+ 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 1.95–2.13 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co 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 second O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–17°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ 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 1–4°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–17°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ 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 0–4°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight 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 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 3–16°. There are a spread of Li–O bond distances ranging from 2.02–2.28 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 MnO6 octahedra, corners with three 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 4–12°. There are a spread of Li–O bond distances ranging from 2.08–2.22 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 two equivalent LiO6 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 4–14°. There are a spread of Li–O bond distances ranging from 2.05–2.28 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 four 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 1–12°. There are a spread of Li–O bond distances ranging from 2.04–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted 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 6–11°. There are a spread of Li–O bond distances ranging from 2.04–2.48 Å. In the sixth 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, 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 0–10°. There are a spread of Li–O bond distances ranging from 1.96–2.33 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 1–15°. There are a spread of Li–O bond distances ranging from 1.97–2.33 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Mn–O bond distances ranging from 1.80–2.13 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 0–6°. There are a spread of Co–O bond distances ranging from 1.97–2.15 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 1.95–2.13 Å. In the third Co4+ site, Co4+ 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 4–16°. There are a spread of Co–O bond distances ranging from 2.00–2.19 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted 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 1–11°. There are a spread of Co–O bond distances ranging from 1.81–2.31 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the second O2- site, O2- is bonded to three Li1+ and three Co4+ 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 3–12°. In the third O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 6–9°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ 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 3–13°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co4+ 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 3–13°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 4–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to 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, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 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 5–9°. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four 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 2.08–2.32 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 5–9°. There are a spread of Li–O bond distances ranging from 2.07–2.30 Å. In the fifth 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, 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 2.05–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 1.98–2.22 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 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 2–12°. There are a spread of Li–O bond distances ranging from 2.04–2.43 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent 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 1.99–2.28 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.83–2.04 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.94–2.10 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.95–2.11 Å. In the third Co4+ site, Co4+ 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 3–8°. There are a spread of Co–O bond distances ranging from 1.92–2.19 Å. In the fourth Co4+ site, Co4+ 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 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.24 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.08 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.09 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 1.94–2.00 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.05 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There is two shorter (1.89 Å) and four longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is three shorter (1.82 Å) and one longer (1.88 Å) Al–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded to two Mg2+ and two Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two OMg2Al2 trigonal pyramids, and edges with two OMg2Al2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two equivalent OMg2Al2 trigonal pyramids, and edges with two equivalent OMg2Al2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two equivalent OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two equivalent OMgAl3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two OMgAl3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted corner-sharing OMg2Al2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra and corners with three OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Al2CuO4 by Materials Project

CuAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is three shorter (1.96 Å) and one longer (1.97 Å) Cu–O bond length. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Cu–O bond distances ranging from 1.94–1.97 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.11 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is three shorter (1.94 Å) and one longer (1.97 Å) Cu–O bond length. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.11 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.95 Å) and one longer (1.98 Å) Cu–O bond length. In the seventh Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.98–2.11 Å. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Cu–O bond distances ranging from 1.94–1.97 Å. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.14 Å. In the tenth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–67°. There are a spread of Cu–O bond distances ranging from 2.00–2.03 Å. There are fifteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Al–O bond distances ranging from 1.81–1.89 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.00 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.84 Å) and one longer (1.90 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.02 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.84 Å) and one longer (1.89 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.06 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.00 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.94 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three Al3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighteenth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted corner-sharing OAl2Cu2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu tetrahedra. In the thirtieth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Co7Re17O48 by Materials Project

Re17Co7O48 is beta Vanadium nitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Re+4.82+ sites. In the first Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 33–51°. There are a spread of Re–O bond distances ranging from 1.90–2.02 Å. In the second Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 37–51°. There are a spread of Re–O bond distances ranging from 1.94–2.02 Å. In the third Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 35–51°. There are a spread of Re–O bond distances ranging from 1.94–2.05 Å. In the fourth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with six ReO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Re–O bond distances ranging from 1.86–2.09 Å. In the fifth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of Re–O bond distances ranging from 1.94–2.08 Å. In the sixth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of Re–O bond distances ranging from 1.94–2.10 Å. In the seventh Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Re–O bond distances ranging from 1.95–2.03 Å. In the eighth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 38–49°. There are a spread of Re–O bond distances ranging from 1.86–2.11 Å. In the ninth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Re–O bond distances ranging from 1.94–2.03 Å. In the tenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Re–O bond distances ranging from 1.93–2.10 Å. In the eleventh Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of Re–O bond distances ranging from 1.92–2.08 Å. In the twelfth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Re–O bond distances ranging from 1.94–2.08 Å. In the thirteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Re–O bond distances ranging from 1.93–2.07 Å. In the fourteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Re–O bond distances ranging from 1.93–2.09 Å. In the fifteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Re–O bond distances ranging from 1.94–2.03 Å. In the sixteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Re–O bond distances ranging from 1.87–2.09 Å. In the seventeenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Re–O bond distances ranging from 1.93–2.09 Å. There are seven inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Co–O bond distances ranging from 2.06–2.23 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Co–O bond distances ranging from 2.07–2.12 Å. In the fifth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Co–O bond distances ranging from 2.02–2.13 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with six ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of Co–O bond distances ranging from 1.90–2.10 Å. In the seventh Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Re+4.82+ and two Co2+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Re+4.82+ and two Co2+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Re+4.82+ and two Co2+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to two Re+4.82+ and one Co2+ atom. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to two Re+4.82+ and one Co2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to two Re+4.82+ and one Co2+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Re+4.82+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Re+4.82+ and two Co2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Re+4.82+ and two Co2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Re+4.82+ atoms. In the thirty-sixth O2- site, O

36 MATERIALS SCIENCE↗

Materials Data on Sm3MoO7 by Materials Project

Sm3MoO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Sm+2.67+ sites. In the first Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.94 Å. In the second Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with three SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the third Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the fourth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, a cornercorner with one SmO7 pentagonal bipyramid, edges with two MoO6 octahedra, and edges with two equivalent SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of Sm–O bond distances ranging from 2.32–2.57 Å. In the fifth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the sixth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the seventh Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.58 Å. In the eighth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, edges with two MoO6 octahedra, and edges with two equivalent SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.57 Å. In the ninth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the tenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.95 Å. In the eleventh Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.92 Å. In the twelfth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.92 Å. In the thirteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.94 Å. In the fourteenth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the fifteenth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.57 Å. In the sixteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.58 Å. In the seventeenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the eighteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the nineteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the twentieth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the twenty-first Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the twenty-second Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.92 Å. In the twenty-third Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.94 Å. In the twenty-fourth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.88 Å. There are eight inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with three SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the second Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the third Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with three SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Mo–O bond distances ranging from 1.89–2.13 Å. In the fourth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the fifth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with three SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the sixth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.89–2.13 Å. In the seventh Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with three SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the eighth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.89–2.13 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sm+2.67+ atoms to form OSm4 tetrahedra that share corners with eight OSm3Mo tetrahedra, corners with two OSm3Mo trigonal pyramids, edges with two OSm4 tetrahedra, and an edgeedge with one OSm3Mo trigonal pyramid. In the second O2- site, O2- is bonded to four Sm+2.67+ atoms to form OSm4 tetrahedra that share corners with eight OSm3Mo tetrahedra, corners with two OSm3Mo trigonal pyramids, edges with two OSm4 tetrahedra, and an edgeedge with one OSm3Mo trigonal pyramid. In the third O2- site, O2- is bonded to four Sm+2.67+ atoms to form a mixture of edge and corner-sharing OSm4 tetrahedra. In the fourth O2- site, O2- is bonded to four Sm+2.67+ atoms to form a mixture of edge and corner-sharing OSm4 tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Sm+2.67+ and two Mo6+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Sm+2.67+ and two Mo6+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sm+2.67+ and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sm+2.67+ and one Mo6+ atom. In the ninth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo trigonal pyramids that share corners with four OSm4 tetrahedra and edges with four OSm3Mo tetrahedra. In the tenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo trigonal pyramids that share corners with four OSm4 tetrahedra and edges with four OSm3Mo tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the thirteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the nineteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form a mixture of distorted edge

36 MATERIALS SCIENCE↗

Materials Data on Zn(FeO2)2 by Materials Project

ZnFe2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.10 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.08 Å. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the eleventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is two shorter (1.92 Å) and two longer (1.95 Å) Fe–O bond length. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.04 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.90–1.96 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.02 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Fe–O bond distances ranging from 1.88–1.99 Å. In the twentieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. There are ten inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Zn–O bond distances ranging from 1.96–2.02 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Zn–O bond distances ranging from 1.97–1.99 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Zn–O bond distances ranging from 1.97–2.03 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.13 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.14 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.18 Å. In the seventh Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.14 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.17 Å. In the ninth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.01–2.20 Å. In the tenth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.02–2.19 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twent

36 MATERIALS SCIENCE↗

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 eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form distorted LiO4F2 octahedra that share corners with three LiO4F2 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 1.92–2.48 Å. There are one shorter (2.09 Å) and one longer (2.11 Å) Li–F bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form distorted LiO4F2 octahedra that share corners with three LiO4F2 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 1.92–2.43 Å. There are one shorter (2.10 Å) and one longer (2.13 Å) Li–F bond lengths. In the third Li1+ site, Li1+ is bonded to two O2- and four F1- atoms to form LiO2F4 octahedra that share corners with three LiO3F3 octahedra, corners with three VO5F octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are one shorter (2.29 Å) and one longer (2.31 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 1.96–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with three LiO2F4 octahedra, corners with three VO5F octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are one shorter (2.20 Å) and two longer (2.30 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 2.03–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form distorted LiO3F3 octahedra that share corners with three LiO4F2 octahedra, corners with three VO6 octahedra, edges with three VO5F octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 1.91–2.41 Å. There are a spread of Li–F bond distances ranging from 2.00–2.31 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form distorted LiO4F2 octahedra that share corners with three LiO4F2 octahedra, corners with three VO6 octahedra, edges with three VO5F octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Li–O bond distances ranging from 1.93–2.43 Å. There are one shorter (2.08 Å) and one longer (2.10 Å) Li–F bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form distorted LiO4F2 octahedra that share corners with three LiO2F4 octahedra, corners with three VO5F octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 1.92–2.45 Å. There are one shorter (2.11 Å) and one longer (2.17 Å) Li–F bond lengths. In the eighth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form distorted LiO3F3 octahedra that share corners with three LiO3F3 octahedra, corners with three VO5F octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 1.90–2.43 Å. There are a spread of Li–F bond distances ranging from 2.03–2.31 Å. There are four inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4F2 octahedra, edges with six LiO4F2 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the second V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with six LiO2F4 octahedra, edges with six LiO4F2 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of V–O bond distances ranging from 2.02–2.04 Å. The V–F bond length is 2.16 Å. In the third V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with six LiO4F2 octahedra, edges with six LiO2F4 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of V–O bond distances ranging from 2.02–2.04 Å. The V–F bond length is 2.15 Å. In the fourth V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with six LiO2F4 octahedra, edges with six LiO4F2 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of V–O bond distances ranging from 2.01–2.05 Å. The V–F bond length is 2.19 Å. There are eight inequivalent O2- sites. In the first 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 FLi6 octahedra, and edges with ten OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the second 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 four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. In the third 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 FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth 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 five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the fifth 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 3–15°. In the sixth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form distorted 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 1–15°. In the seventh 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 four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. In the eighth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3V3 octahedra, edges with five OLi3V3 octahedra, and edges with seven FLi6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are four 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 four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. 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 five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. 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 two FLi6 octahedra, and edges with ten OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. 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 five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 8–16°.

36 MATERIALS SCIENCE↗

Materials Data on Sr2Fe23O38 by Materials Project

Sr2Fe23O38 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–3.00 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–3.05 Å. There are twenty-three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.86–2.03 Å. In the fourth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–61°. There is three shorter (1.93 Å) and one longer (1.95 Å) Fe–O bond length. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.06 Å. In the sixth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There is four shorter (1.97 Å) and two longer (1.98 Å) Fe–O bond length. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.05 Å. In the ninth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Fe–O bond distances ranging from 1.88–2.34 Å. In the tenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.91–1.95 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.95–2.14 Å. In the thirteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.05 Å. In the fourteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the seventeenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.95 Å. In the eighteenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is two shorter (1.93 Å) and two longer (1.95 Å) Fe–O bond length. In the nineteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the twentieth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the twenty-first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the twenty-second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the twenty-third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fourth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fifth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the ninth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the eleventh O site, O is bonded to four Fe atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirteenth O site, O is bonded to four Fe atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the fourteenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the sixteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the seventeenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-second O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-sixth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the twenty-seventh O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Fe atom

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.26 Å. In the second 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.11 Å. In the third 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.12 Å. In the fourth 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.21 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. In the sixth 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.12 Å. In the seventh 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the eighth 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the ninth 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.18 Å. In the tenth 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 2.28–2.44 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.02 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.01 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.00 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 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 two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–52°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–35°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 VO6 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 1.49–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–47°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–32°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There is one shorter (1.50 Å) and three longer (1.58 Å) P–O bond length. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 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 1.50–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. 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 trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a d

36 MATERIALS SCIENCE↗

Materials Data on Li3CrO4 by Materials Project

Li3CrO4 is Caswellsilverite-like structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are four shorter (2.08 Å) and two longer (2.11 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.01–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Li–O bond distances ranging from 2.06–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.01–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Li–O bond distances ranging from 1.98–2.18 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. There are four inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cr–O bond distances ranging from 1.74–2.06 Å. In the second Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Cr–O bond distances ranging from 1.78–2.04 Å. In the third Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Cr–O bond distances ranging from 1.75–2.06 Å. In the fourth Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Cr–O bond distances ranging from 1.78–2.04 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form OLi5Cr octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. In the second O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form OLi5Cr octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. In the third O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the fifth O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 4–12°. In the sixth O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 4–11°. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the eighth O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–17°.

36 MATERIALS SCIENCE↗