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Materials Data on AlPO4 by Materials Project

AlPO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.86 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.91 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.89 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form distorted corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.94 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.93 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.82 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.77 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.67–1.89 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.67–1.87 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.89 Å. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.94 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.87 Å. In the eighteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.83 Å. There are eighteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is one shorter (1.45 Å) and three longer (1.60 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.45–1.65 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the fourth P5+ site, P5+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–2.36 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.68 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.79 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.64 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.73 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the seventeenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.76 Å. In the eighteenth P5+ site, P5+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.52–1.88 Å. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eleventh O2- site, O2- is bonded in a water-like geometry to one Al3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted L-shaped geometry to one Al3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe35O36 by Materials Project

Fe35O36 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-five inequivalent Fe+2.06+ sites. In the first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.11–2.33 Å. In the second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.13–2.32 Å. In the third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.27 Å. In the fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Fe–O bond distances ranging from 2.11–2.31 Å. In the sixth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Fe–O bond distances ranging from 2.10–2.24 Å. In the seventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.09–2.30 Å. In the eighth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–O bond distances ranging from 2.03–2.20 Å. In the ninth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Fe–O bond distances ranging from 2.12–2.22 Å. In the tenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Fe–O bond distances ranging from 2.08–2.33 Å. In the eleventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the twelfth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the thirteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.07–2.26 Å. In the fourteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the fifteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.14–2.20 Å. In the sixteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the seventeenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.31 Å. In the eighteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the nineteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.10–2.31 Å. In the twentieth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the twenty-first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Fe–O bond distances ranging from 2.03–2.13 Å. In the twenty-second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the twenty-third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 2.12–2.32 Å. In the twenty-fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.24 Å. In the twenty-fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Fe–O bond distances ranging from 2.10–2.32 Å. In the twenty-sixth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.13–2.22 Å. In the twenty-seventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Fe–O bond distances ranging from 2.10–2.37 Å. In the twenty-eighth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-ninth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the thirtieth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the thirty-first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the thirty-second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.29 Å. In the thirty-third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.15–2.24 Å. In the thirty-fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Fe–O bond distances ranging from 2.08–2.32 Å. In the thirty-fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.33 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. In the second O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–5°. In the third O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with ten OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the seventh O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. In the ninth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid.

36 MATERIALS SCIENCE↗

Materials Data on K2Na5Al7Si5O24 by Materials Project

K2Na5Al7Si5O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.46–2.80 Å. In the second K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are two shorter (2.48 Å) and one longer (2.93 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.39–2.71 Å. In the fourth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.39–2.62 Å. There are ten inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.91 Å. In the second Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.77 Å. In the third Na1+ site, Na1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.20–2.94 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.17–2.50 Å. In the fifth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.44 Å. In the sixth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.45 Å. In the seventh Na1+ site, Na1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.15–2.37 Å. In the eighth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.16–2.35 Å. In the ninth Na1+ site, Na1+ is bonded in a distorted trigonal planar geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.14–2.95 Å. In the tenth Na1+ site, Na1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.15–2.35 Å. There are fourteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.80 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There is two shorter (1.75 Å) and two longer (1.79 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.81 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.81 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.80 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.81 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.86 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.84 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.80 Å. There are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Si4+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Na1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Na1+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+, one Na1+, and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Na1+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Na1+, and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one K1+ and two Al3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one K1+ and two Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Al3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geo

36 MATERIALS SCIENCE↗

Materials Data on Zn3Fe15Cu39(Ge3S32)2 by Materials Project

Fe15Cu39Zn3(Ge3S32)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Fe sites. In the first Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four FeS4 tetrahedra and corners with eight CuS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.22–2.27 Å. In the second Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four FeS4 tetrahedra and corners with eight CuS4 tetrahedra. There are three shorter (2.23 Å) and one longer (2.25 Å) Fe–S bond lengths. In the third Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra and corners with ten CuS4 tetrahedra. There are two shorter (2.17 Å) and two longer (2.25 Å) Fe–S bond lengths. In the fourth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with nine CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.18–2.24 Å. In the fifth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with nine CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.18–2.24 Å. In the sixth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four CuS4 tetrahedra, edges with two FeS4 tetrahedra, and edges with three CuS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.19–2.26 Å. In the seventh Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra and corners with ten CuS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.18–2.27 Å. In the eighth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four FeS4 tetrahedra and corners with eight CuS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.22–2.27 Å. In the ninth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four FeS4 tetrahedra and corners with eight CuS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.22–2.25 Å. In the tenth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four CuS4 tetrahedra, edges with two FeS4 tetrahedra, and edges with three CuS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.19–2.26 Å. In the eleventh Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with nine CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.18–2.23 Å. In the twelfth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with four CuS4 tetrahedra, edges with two FeS4 tetrahedra, and edges with four CuS4 tetrahedra. All Fe–S bond lengths are 2.23 Å. In the thirteenth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with ten CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are two shorter (2.22 Å) and two longer (2.23 Å) Fe–S bond lengths. In the fourteenth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with nine CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.19–2.24 Å. In the fifteenth Fe site, Fe is bonded to four S atoms to form FeS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with ten CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.21–2.24 Å. There are thirty-nine inequivalent Cu sites. In the first Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with two GeS4 tetrahedra, corners with seven CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.26–2.32 Å. In the second Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with two FeS4 tetrahedra, corners with eight CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.20–2.34 Å. In the third Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with two GeS4 tetrahedra, corners with three FeS4 tetrahedra, and corners with five CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.25–2.31 Å. In the fourth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with five CuS4 tetrahedra. There are three shorter (2.28 Å) and one longer (2.30 Å) Cu–S bond lengths. In the fifth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, a cornercorner with one GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.21–2.36 Å. In the sixth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, a cornercorner with one GeS4 tetrahedra, corners with three FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.22–2.33 Å. In the seventh Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with two FeS4 tetrahedra, corners with two ZnS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.23–2.34 Å. In the eighth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.26–2.30 Å. In the ninth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.21–2.31 Å. In the tenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with two FeS4 tetrahedra, corners with two ZnS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.23–2.33 Å. In the eleventh Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with two FeS4 tetrahedra, corners with two GeS4 tetrahedra, corners with seven CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.28–2.33 Å. In the twelfth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.25–2.29 Å. In the thirteenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.20–2.31 Å. In the fourteenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, a cornercorner with one GeS4 tetrahedra, corners with three FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.22–2.33 Å. In the fifteenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with two GeS4 tetrahedra, corners with three FeS4 tetrahedra, and corners with five CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.26–2.30 Å. In the sixteenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.27–2.29 Å. In the seventeenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with seven CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.20–2.38 Å. In the eighteenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with two GeS4 tetrahedra, corners with seven CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.26–2.31 Å. In the nineteenth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with two FeS4 tetrahedra, corners with eight CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.20–2.36 Å. In the twentieth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with three GeS4 tetrahedra and corners with seven CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.21–2.32 Å. In the twenty-first Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two FeS4 tetrahedra, corners with two GeS4 tetrahedra, and corners with eight CuS4 tetrahedra. There are one shorter (2.26 Å) and three longer (2.28 Å) Cu–S bond lengths. In the twenty-second Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with two FeS4 tetrahedra, corners with seven CuS4 tetrahedra, and an edgeedge with one FeS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.20–2.34 Å. In the twenty-third Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with five CuS4 tetrahedra. There are one shorter (2.26 Å) and three longer (2.28 Å) Cu–S bond lengths. In the twenty-fourth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.25–2.34 Å. In the twenty-fifth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, a cornercorner with one GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.21–2.35 Å. In the twenty-sixth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with seven CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.21–2.36 Å. In the twenty-seventh Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with four FeS4 tetrahedra, and corners with six CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.27–2.31 Å. In the twenty-eighth Cu site, Cu is bonded to four S atoms to form CuS4 tetrahedra that share a cornercorner with one ZnS4 tetr

36 MATERIALS SCIENCE↗

Materials Data on Sr20Fe3Co7(MoO6)10 by Materials Project

Sr20Fe3Co7(MoO6)10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two FeO6 octahedra, faces with two CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.10 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two FeO6 octahedra, faces with two CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.60–3.08 Å. In the third Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.57–3.08 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.07 Å. In the fifth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–3.06 Å. In the sixth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two FeO6 octahedra, faces with two CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–3.10 Å. In the seventh Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.57–3.08 Å. In the eighth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.58–3.10 Å. In the ninth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–3.07 Å. In the tenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.05 Å. In the eleventh Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.11 Å. In the twelfth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.59–3.09 Å. In the thirteenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–3.10 Å. In the fourteenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two FeO6 octahedra, faces with two CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.60–3.05 Å. In the fifteenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.08 Å. In the sixteenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.13 Å. In the seventeenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.09 Å. In the eighteenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two FeO6 octahedra, faces with two CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.09 Å. In the nineteenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.08 Å. In the twentieth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two FeO6 octahedra, faces with two CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.58–3.07 Å. There are ten inequivalent Mo sites. In the first Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mo–O bond distances ranging from 1.93–1.98 Å. In the second Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with three FeO6 octahedra, corners with three CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Mo–O bond distances ranging from 1.92–2.07 Å. In the third Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Mo–O bond distances ranging from 1.92–1.99 Å. In the fourth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Mo–O bond distances ranging from 1.93–1.98 Å. In the fifth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Mo–O bond distances ranging from 1.92–2.00 Å. In the sixth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Mo–O bond distances ranging from 1.92–1.98 Å. In the seventh Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Mo–O bond distances ranging from 1.95–2.06 Å. In the eighth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Mo–O bond distances ranging from 1.92–1.98 Å. In the ninth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Mo–O bond distances ranging from 1.92–2.00 Å. In the tenth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Mo–O bond distances ranging from 1.94–2.05 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Fe–O bond distances ranging from 1.96–2.08 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Fe–O bond distances ranging from 1.97–2.07 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Fe–O bond distances ranging from 1.97–2.06 Å. There are seven inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Co–O bond distances ranging from 2.02–2.11 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Co–O bond distances ranging from 2.07–2.11 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing

36 MATERIALS SCIENCE↗

Materials Data on KLi2Sb(PO4)2 by Materials Project

KLi2Sb(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with six SbO6 octahedra, edges with two KO12 cuboctahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of K–O bond distances ranging from 2.98–3.29 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form distorted KO12 cuboctahedra that share corners with six SbO6 octahedra, edges with three KO12 cuboctahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of K–O bond distances ranging from 2.94–3.30 Å. In the third K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.35 Å. In the fourth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.87–3.22 Å. In the fifth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with six SbO6 octahedra, edges with three KO12 cuboctahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of K–O bond distances ranging from 2.95–3.27 Å. In the sixth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.84–3.24 Å. There are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.14 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.11 Å. In the fourth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.02 Å. In the fifth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.19 Å. In the sixth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.10 Å. In the seventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.13 Å. In the eighth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.93 Å) and two longer (1.98 Å) Li–O bond length. In the ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.13 Å. In the tenth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.07 Å. In the eleventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.12 Å. In the twelfth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.05 Å. There are six inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with three KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.15–2.54 Å. In the second Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with four KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.29–2.37 Å. In the third Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with three KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.20–2.53 Å. In the fourth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with two KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.24–2.39 Å. In the fifth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with five KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.30–2.35 Å. In the sixth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share a cornercorner with one KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.14–2.54 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with three KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 42–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 43–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, two Li1+, one Sb3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, two Li1+, one Sb3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Sb3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Bi24Br10O31 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li4V2Si(PO6)2 by Materials Project

Li4V2Si(PO6)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.74 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.81 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.36 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.76 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.71 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.79 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.72 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.78 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.74 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.75 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.78 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.75 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.75 Å. There are eight inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.09 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.09 Å. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.09 Å. In the fifth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.11 Å. In the sixth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the seventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. In the eighth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–45°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–45°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There is two shorter (1.53 Å) and two longer (1.57 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 LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded to three Li1+, one V3+, and one Si4+ atom to form distorted corner-sharing OLi3VSi trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on Ba14LiY7(Cu10O21)2 by Materials Project

LiBa14Y7(Cu10O21)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Li is bonded in a distorted trigonal bipyramidal geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. There are fourteen inequivalent Ba sites. In the first Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.96 Å. In the second Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.97 Å. In the third Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.78–2.98 Å. In the fourth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.96 Å. In the fifth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.98 Å. In the sixth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.97 Å. In the seventh Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.97 Å. In the eighth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.96 Å. In the ninth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.98 Å. In the tenth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.80–2.97 Å. In the eleventh Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.96 Å. In the twelfth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.98 Å. In the thirteenth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.80–2.97 Å. In the fourteenth Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.96 Å. There are seven inequivalent Y sites. In the first Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.41–2.43 Å. In the second Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.41–2.43 Å. In the third Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.36–2.46 Å. In the fourth Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.36–2.46 Å. In the fifth Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.40–2.44 Å. In the sixth Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.36–2.47 Å. In the seventh Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.36–2.47 Å. There are twenty inequivalent Cu sites. In the first Cu site, Cu is bonded in a linear geometry to two O atoms. There is one shorter (1.81 Å) and one longer (1.83 Å) Cu–O bond length. In the second Cu site, Cu is bonded in a linear geometry to two O atoms. There is one shorter (1.80 Å) and one longer (1.81 Å) Cu–O bond length. In the third Cu site, Cu is bonded in a linear geometry to two O atoms. Both Cu–O bond lengths are 1.81 Å. In the fourth Cu site, Cu is bonded in a linear geometry to two O atoms. Both Cu–O bond lengths are 1.80 Å. In the fifth Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.65 Å. In the sixth Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.65 Å. In the seventh Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–1.95 Å. In the eighth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.90–1.97 Å. In the ninth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.90–1.97 Å. In the tenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.89–1.97 Å. In the eleventh Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.66 Å. In the twelfth Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.66 Å. In the thirteenth Cu site, Cu is bonded in a linear geometry to two O atoms. Both Cu–O bond lengths are 1.80 Å. In the fourteenth Cu site, Cu is bonded in a linear geometry to two O atoms. Both Cu–O bond lengths are 1.80 Å. In the fifteenth Cu site, Cu is bonded in a linear geometry to two O atoms. Both Cu–O bond lengths are 1.81 Å. In the sixteenth Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.64 Å. In the seventeenth Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.63 Å. In the eighteenth Cu site, Cu is bonded in a distorted square pyramidal geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.58 Å. In the nineteenth Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to five O atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.64 Å. In the twentieth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.89–1.97 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to one Li, two Ba, two Y, and one Cu atom. In the second O site, O is bonded to two Ba, two Y, and two Cu atoms to form distorted OBa2Y2Cu2 octahedra that share corners with two OBa4LiCu octahedra and faces with two OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 6–53°. In the third O site, O is bonded in a 1-coordinate geometry to four Ba and one Cu atom. In the fourth O site, O is bonded in a 1-coordinate geometry to four Ba and one Cu atom. In the fifth O site, O is bonded in a 1-coordinate geometry to four Ba and one Cu atom. In the sixth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the seventh O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the eighth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the ninth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the tenth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the eleventh O site, O is bonded to two Ba, two Y, and two Cu atoms to form a mixture of distorted corner and face-sharing OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–53°. In the twelfth O site, O is bonded to two Ba, two Y, and two Cu atoms to form a mixture of distorted corner and face-sharing OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–53°. In the thirteenth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the fourteenth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the fifteenth O site, O is bonded to two Ba, two Y, and two Cu atoms to form a mixture of distorted corner and face-sharing OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–53°. In the sixteenth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the seventeenth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the eighteenth O site, O is bonded in a 6-coordinate geometry to one Li, two Ba, two Y, and one Cu atom. In the nineteenth O site, O is bonded to two Ba, two Y, and two Cu atoms to form distorted OBa2Y2Cu2 octahedra that share corners with two OBa4LiCu octahedra and faces with two OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–53°. In the twentieth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the twenty-first O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the twenty-second O site, O is bonded in a 1-coordinate geometry to four Ba and one Cu atom. In the twenty-third O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the twenty-fourth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the twenty-fifth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the twenty-sixth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the twenty-seventh O site, O is bonded in a 1-coordinate geometry to four Ba and one Cu atom. In the twenty-eighth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the twenty-ninth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the thirtieth O site, O is bonded in a 6-coordinate geometry to one Li, two Ba, two Y, and one Cu atom. In the thirty-first O site, O is bonded to two Ba, two Y, and two Cu atoms to form distorted OBa2Y2Cu2 octahedra that share corners with two OBa4LiCu octahedra, an edgeedge with one OBa2Y2Cu2 octahedra, and a faceface with one OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–53°. In the thirty-second O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the thirty-third O site, O is bonded to two Ba, two Y, and two Cu atoms to form distorted OBa2Y2Cu2 octahedra that share corners with two OBa4LiCu octahedra, an edgeedge with one OBa2Y2Cu2 octahedra, and a faceface with one OBa2Y2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–53°. In the thirty-fourth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the thirty-fifth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the thirty-sixth O site, O is bonded in a 6-coordinate geometry to one Li, two Ba, two Y, and one Cu atom. In the thirty-seventh O site, O is bonded to one Li, four Ba, and one Cu atom to form distorted corner-sharing OBa4LiCu octahedra. The corner-sharing octahedral tilt angles are 53°. In the thirty-eighth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the thirty-ninth O site, O is bonded in a 1-coordinate geometry to four Ba and two Cu atoms. In the fortieth O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the forty-first O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms. In the forty-second O site, O is bonded in a 6-coordinate geometry to two Ba, two Y, and two Cu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti4O9 by Materials Project

Na2Ti4O9 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.82 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.89 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.45 Å) and four longer (2.50 Å) Na–O bond lengths. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.71 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.63 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.63 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.95 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.85 Å. In the twelfth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.84 Å. There are twenty-four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Ti–O bond distances ranging from 1.83–2.31 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the twentieth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the twenty-first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Ti–O bond distances ranging from 1.84–2.28 Å. In the twenty-second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the twenty-third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the twenty-fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 tetrahedra that share corners with four ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and an edgeedge with one ONaTi3 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with two ONaTi3 trigonal pyramids, an edgeedge with one ONaTi3 tetrahedra, and an edgeedge with one ONaTi3 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONaTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONaTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONaTi3 trigonal pyramid, edges with two ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONaTi3 trigonal pyramid, an edgeedge with one ONaTi3 tetrahedra, and edges with two ONaTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted water-like geometry to one Na1+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Na1+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-seventh O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-ninth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and t

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti4O9 by Materials Project

Na2Ti4O9 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.75 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.63 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.91 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.86 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.91 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.87 Å. In the seventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.85 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.92 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.52 Å. In the tenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.87 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.80 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.63 Å. There are twenty-four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.89–2.14 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.84–2.25 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There is four shorter (1.98 Å) and two longer (1.99 Å) Ti–O bond length. In the twentieth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the twenty-first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ti–O bond distances ranging from 1.84–2.24 Å. In the twenty-second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the twenty-third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. In the twenty-fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Ti–O bond distances ranging from 1.84–2.22 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Ti4+ atoms. In the third O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with two ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share corners with two ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with two ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted water-like geometry to one Na1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to two Na1+ and three Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to two Na1+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+ and three Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded i

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. In the second 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 1.92–2.20 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- 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 67–71°. There are a spread of Li–O bond distances ranging from 1.85–2.22 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.10 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 and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.09 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.26 Å. In the eighth 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 1.97–2.20 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. In the eleventh 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 1.97–2.14 Å. In the twelfth 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 1.93–2.22 Å. In the thirteenth 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 1.98–2.13 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.27–2.50 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ 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 1.89–2.04 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- 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 1.95–2.07 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- 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 1.85–2.03 Å. In the fourth V+3.67+ site, V+3.67+ 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 1.85–2.04 Å. In the fifth V+3.67+ site, V+3.67+ 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 1.95–2.07 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- 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 1.89–2.03 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second 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 1.50–1.62 Å. In the third 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 42–48°. There are a spread of P–O bond distances ranging from 1.51–1.63 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 37–39°. There are a spread of P–O bond distances ranging from 1.52–1.59 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 33–36°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh 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 43–47°. There are a spread of P–O bond distances ranging from 1.50–1.63 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. In the twelfth 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 34–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–39°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourteenth 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 40–48°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the fifteenth 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 37–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and 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 distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.68 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.13 Å. In the third Li1+ site, Li1+ is bonded to four O2- 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 66–72°. There are a spread of Li–O bond distances ranging from 1.91–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- 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 2.00–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- 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 1.99–2.15 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.20 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.65 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.11 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.86 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.24–2.48 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ 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 1.90–2.04 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.00–2.07 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.03 Å. In the fourth V+3.67+ site, V+3.67+ 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 1.90–2.00 Å. In the fifth V+3.67+ site, V+3.67+ 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 1.91–2.01 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.07 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–39°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–40°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 36–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth 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 32–38°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped 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+3.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+,

36 MATERIALS SCIENCE↗

Materials Data on Bi26Mo10O69 by Materials Project

Bi26Mo10O69 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mo sites. In the first Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.83 Å. In the second Mo site, Mo is bonded in a distorted trigonal bipyramidal geometry to five O atoms. There are a spread of Mo–O bond distances ranging from 1.77–2.11 Å. In the third Mo site, Mo is bonded to four O atoms to form MoO4 tetrahedra that share a cornercorner with one BiO6 pentagonal pyramid. There are a spread of Mo–O bond distances ranging from 1.78–1.83 Å. In the fourth Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.79–1.82 Å. In the fifth Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. In the sixth Mo site, Mo is bonded to four O atoms to form MoO4 tetrahedra that share corners with two equivalent BiO6 pentagonal pyramids. There are a spread of Mo–O bond distances ranging from 1.79–1.82 Å. In the seventh Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.77–1.85 Å. In the eighth Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. In the ninth Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.83 Å. In the tenth Mo site, Mo is bonded in a tetrahedral geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. There are twenty-six inequivalent Bi sites. In the first Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.63 Å. In the second Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.68 Å. In the third Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.65 Å. In the fourth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.67 Å. In the fifth Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.84 Å. In the sixth Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.78 Å. In the seventh Bi site, Bi is bonded to six O atoms to form distorted BiO6 pentagonal pyramids that share corners with three MoO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.14–2.72 Å. In the eighth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.72 Å. In the ninth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.74 Å. In the tenth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.66 Å. In the eleventh Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.75 Å. In the twelfth Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.71 Å. In the thirteenth Bi site, Bi is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.43 Å. In the fourteenth Bi site, Bi is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.68 Å. In the fifteenth Bi site, Bi is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.40 Å. In the sixteenth Bi site, Bi is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.62 Å. In the seventeenth Bi site, Bi is bonded in a 4-coordinate geometry to three O atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the eighteenth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.68 Å. In the nineteenth Bi site, Bi is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.57 Å. In the twentieth Bi site, Bi is bonded in a 6-coordinate geometry to three O atoms. There are two shorter (2.19 Å) and one longer (2.22 Å) Bi–O bond lengths. In the twenty-first Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.52 Å. In the twenty-second Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.61 Å. In the twenty-third Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.54 Å. In the twenty-fourth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.60 Å. In the twenty-fifth Bi site, Bi is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.70 Å. In the twenty-sixth Bi site, Bi is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.81 Å. There are sixty-nine inequivalent O sites. In the first O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the second O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the third O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the fourth O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the sixth O site, O is bonded in a 2-coordinate geometry to one Mo and three Bi atoms. In the seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the eighth O site, O is bonded in a single-bond geometry to one Mo and one Bi atom. In the ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the tenth O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the twelfth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the thirteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Mo and one Bi atom. In the fourteenth O site, O is bonded in a single-bond geometry to one Mo atom. In the fifteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Mo and one Bi atom. In the sixteenth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the seventeenth O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the eighteenth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the nineteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to three Bi atoms. In the twenty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the twenty-third O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the twenty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the twenty-fifth O site, O is bonded in a 2-coordinate geometry to one Mo and one Bi atom. In the twenty-sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the twenty-seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the twenty-eighth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the twenty-ninth O site, O is bonded in a trigonal planar geometry to three Bi atoms. In the thirtieth O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the thirty-first O site, O is bonded in a trigonal planar geometry to three Bi atoms. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to three Bi atoms. In the thirty-third O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the thirty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the thirty-fifth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the thirty-sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the thirty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Mo and one Bi atom. In the thirty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Mo and one Bi atom. In the thirty-ninth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the fortieth O site, O is bonded in a distorted bent 150 degrees geometry to one Mo and one Bi atom. In the forty-first O site, O is bonded in a distorted single-bond geometry to one Mo and two Bi atoms. In the forty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mo and two Bi atoms. In the forty-third O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the forty-fourth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the forty-fifth O site, O is bonded in a distorted single-bond geometry to one Mo atom. In the forty-sixth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the forty-seventh O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the forty-eighth O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the forty-ninth O site, O is bonded to four Bi atoms to form distorted edge-sharing OBi4 tetrahedra. In the fiftieth O site, O is bonded to four Bi atoms to form distorted edge-sharing OBi4 tetrahedra. In the fifty-first O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the fifty-second O site, O is bonded in a water-like geometry to one Mo and one Bi atom. In the fifty-third O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the fifty-fourth O site, O is bonded in a distorted water-like geometry to one Mo and one Bi atom. In the fifty-fifth O site, O is bonded to four Bi atoms to form edge-sharing OBi4 tetrahedra. In the fifty-sixth O site, O is bonded to four Bi atoms to form edge-sharing OBi4 tetrahedra. In the fifty-seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the fifty-eighth O site, O is bonded in a single-bond geometry to one Mo atom. In the fifty-ninth O site, O is bonded in a distorted bent 120 degrees geometry to one Mo and one Bi atom. In the sixtieth O site, O is bonded in a single-bond geometry to one Mo atom. In the sixty-first O site, O is bonded in a distorted single-bond geometry to one Mo and one Bi atom. In the sixty-second O site, O is bonded in a distorted bent 150 degrees geometr

36 MATERIALS SCIENCE↗

Materials Data on Sr10In17Au27 by Materials Project

Sr10Au27In17 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are ten inequivalent Sr sites. In the first Sr site, Sr is bonded in a 9-coordinate geometry to nine Au and seven In atoms. There are a spread of Sr–Au bond distances ranging from 3.36–3.52 Å. There are a spread of Sr–In bond distances ranging from 3.64–3.84 Å. In the second Sr site, Sr is bonded in a 12-coordinate geometry to eight Au and eight In atoms. There are a spread of Sr–Au bond distances ranging from 3.36–3.52 Å. There are a spread of Sr–In bond distances ranging from 3.67–3.83 Å. In the third Sr site, Sr is bonded in a 7-coordinate geometry to nine Au and six In atoms. There are a spread of Sr–Au bond distances ranging from 3.32–3.74 Å. There are a spread of Sr–In bond distances ranging from 3.63–3.83 Å. In the fourth Sr site, Sr is bonded in a 7-coordinate geometry to nine Au and six In atoms. There are a spread of Sr–Au bond distances ranging from 3.34–3.75 Å. There are a spread of Sr–In bond distances ranging from 3.63–3.86 Å. In the fifth Sr site, Sr is bonded in a 7-coordinate geometry to nine Au atoms. There are a spread of Sr–Au bond distances ranging from 3.32–3.72 Å. In the sixth Sr site, Sr is bonded in a 12-coordinate geometry to eleven Au and four In atoms. There are a spread of Sr–Au bond distances ranging from 3.34–3.71 Å. There are a spread of Sr–In bond distances ranging from 3.54–3.87 Å. In the seventh Sr site, Sr is bonded in a 12-coordinate geometry to nine Au and four In atoms. There are a spread of Sr–Au bond distances ranging from 3.30–3.48 Å. There are a spread of Sr–In bond distances ranging from 3.53–3.63 Å. In the eighth Sr site, Sr is bonded in a 12-coordinate geometry to nine Au and four In atoms. There are a spread of Sr–Au bond distances ranging from 3.29–3.54 Å. There are a spread of Sr–In bond distances ranging from 3.52–3.66 Å. In the ninth Sr site, Sr is bonded in a 12-coordinate geometry to nine Au and four In atoms. There are a spread of Sr–Au bond distances ranging from 3.29–3.53 Å. There are a spread of Sr–In bond distances ranging from 3.54–3.64 Å. In the tenth Sr site, Sr is bonded in a 12-coordinate geometry to nine Au and four In atoms. There are a spread of Sr–Au bond distances ranging from 3.29–3.50 Å. There are a spread of Sr–In bond distances ranging from 3.53–3.65 Å. There are twenty-seven inequivalent Au sites. In the first Au site, Au is bonded in a 10-coordinate geometry to three Sr, three Au, and four In atoms. There are one shorter (2.84 Å) and two longer (2.88 Å) Au–Au bond lengths. There are a spread of Au–In bond distances ranging from 2.87–2.92 Å. In the second Au site, Au is bonded in a 10-coordinate geometry to three Sr, two equivalent Au, and five In atoms. Both Au–Au bond lengths are 2.92 Å. There are a spread of Au–In bond distances ranging from 2.84–2.95 Å. In the third Au site, Au is bonded in a 10-coordinate geometry to three Sr, two equivalent Au, and five In atoms. Both Au–Au bond lengths are 2.89 Å. There are a spread of Au–In bond distances ranging from 2.84–2.92 Å. In the fourth Au site, Au is bonded in a 10-coordinate geometry to three Sr, two equivalent Au, and five In atoms. Both Au–Au bond lengths are 2.90 Å. There are a spread of Au–In bond distances ranging from 2.84–2.93 Å. In the fifth Au site, Au is bonded in a 7-coordinate geometry to five Sr, two equivalent Au, and two In atoms. Both Au–Au bond lengths are 2.90 Å. There are one shorter (2.76 Å) and one longer (2.89 Å) Au–In bond lengths. In the sixth Au site, Au is bonded in a 7-coordinate geometry to five Sr, two equivalent Au, and two In atoms. Both Au–Au bond lengths are 2.91 Å. There are one shorter (2.76 Å) and one longer (2.89 Å) Au–In bond lengths. In the seventh Au site, Au is bonded in a 7-coordinate geometry to five Sr, two equivalent Au, and two In atoms. Both Au–Au bond lengths are 2.90 Å. There are one shorter (2.77 Å) and one longer (2.90 Å) Au–In bond lengths. In the eighth Au site, Au is bonded in a 7-coordinate geometry to five Sr, two equivalent Au, and two In atoms. Both Au–Au bond lengths are 2.90 Å. There are one shorter (2.76 Å) and one longer (2.88 Å) Au–In bond lengths. In the ninth Au site, Au is bonded in a 7-coordinate geometry to three Sr and four In atoms. There are a spread of Au–In bond distances ranging from 2.80–2.95 Å. In the tenth Au site, Au is bonded in a 7-coordinate geometry to three Sr, two equivalent Au, and four In atoms. Both Au–Au bond lengths are 2.91 Å. There are one shorter (2.80 Å) and three longer (2.93 Å) Au–In bond lengths. In the eleventh Au site, Au is bonded in a 7-coordinate geometry to three Sr, two equivalent Au, and four In atoms. Both Au–Au bond lengths are 2.91 Å. There are a spread of Au–In bond distances ranging from 2.82–2.98 Å. In the twelfth Au site, Au is bonded in a 7-coordinate geometry to three Sr, two equivalent Au, and four In atoms. Both Au–Au bond lengths are 2.93 Å. There are a spread of Au–In bond distances ranging from 2.85–2.97 Å. In the thirteenth Au site, Au is bonded in a 3-coordinate geometry to three Sr, four Au, and three In atoms. There are one shorter (2.88 Å) and one longer (3.24 Å) Au–Au bond lengths. There are two shorter (2.91 Å) and one longer (2.92 Å) Au–In bond lengths. In the fourteenth Au site, Au is bonded in a 1-coordinate geometry to three Sr, three Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.76–2.96 Å. In the fifteenth Au site, Au is bonded in a 1-coordinate geometry to three Sr, three Au, and four In atoms. The Au–Au bond length is 3.28 Å. There are a spread of Au–In bond distances ranging from 2.78–2.94 Å. In the sixteenth Au site, Au is bonded in a 1-coordinate geometry to three Sr, one Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.77–2.94 Å. In the seventeenth Au site, Au is bonded in a 6-coordinate geometry to four Sr, two equivalent Au, and two equivalent In atoms. Both Au–In bond lengths are 2.94 Å. In the eighteenth Au site, Au is bonded in a 6-coordinate geometry to four Sr, two equivalent Au, and two equivalent In atoms. Both Au–In bond lengths are 2.94 Å. In the nineteenth Au site, Au is bonded in a 6-coordinate geometry to four Sr, two equivalent Au, and two equivalent In atoms. Both Au–In bond lengths are 2.95 Å. In the twentieth Au site, Au is bonded in a 8-coordinate geometry to four Sr, two equivalent Au, and two equivalent In atoms. Both Au–In bond lengths are 2.94 Å. In the twenty-first Au site, Au is bonded in a 9-coordinate geometry to two equivalent Sr and seven In atoms. There are a spread of Au–In bond distances ranging from 2.93–2.98 Å. In the twenty-second Au site, Au is bonded in a 9-coordinate geometry to two equivalent Sr, two equivalent Au, and five In atoms. Both Au–Au bond lengths are 2.94 Å. There are a spread of Au–In bond distances ranging from 2.86–2.98 Å. In the twenty-third Au site, Au is bonded in a 9-coordinate geometry to three Sr, two equivalent Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.88–3.16 Å. In the twenty-fourth Au site, Au is bonded in a 9-coordinate geometry to three Sr, two equivalent Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.87–3.16 Å. In the twenty-fifth Au site, Au is bonded in a 9-coordinate geometry to three Sr, two equivalent Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.88–3.18 Å. In the twenty-sixth Au site, Au is bonded in a 9-coordinate geometry to three Sr, two equivalent Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.88–3.21 Å. In the twenty-seventh Au site, Au is bonded in a 10-coordinate geometry to three Sr, four Au, and three In atoms. There are one shorter (2.96 Å) and two longer (3.17 Å) Au–In bond lengths. There are seventeen inequivalent In sites. In the first In site, In is bonded in a 7-coordinate geometry to two Sr and seven Au atoms. In the second In site, In is bonded in a 7-coordinate geometry to two Sr and seven Au atoms. In the third In site, In is bonded in a 7-coordinate geometry to two Sr and seven Au atoms. In the fourth In site, In is bonded in a 7-coordinate geometry to two Sr and seven Au atoms. In the fifth In site, In is bonded in a 7-coordinate geometry to two Sr and seven Au atoms. In the sixth In site, In is bonded in a 7-coordinate geometry to one Sr and seven Au atoms. In the seventh In site, In is bonded in a 12-coordinate geometry to five Sr and five Au atoms. In the eighth In site, In is bonded in a 12-coordinate geometry to three Sr and five Au atoms. In the ninth In site, In is bonded in a 5-coordinate geometry to five Sr and five Au atoms. In the tenth In site, In is bonded in a 5-coordinate geometry to five Sr and five Au atoms. In the eleventh In site, In is bonded in a 4-coordinate geometry to three Sr and five Au atoms. In the twelfth In site, In is bonded in a 4-coordinate geometry to three Sr and five Au atoms. In the thirteenth In site, In is bonded in a 4-coordinate geometry to two equivalent Sr and five Au atoms. In the fourteenth In site, In is bonded in a 4-coordinate geometry to three Sr and seven Au atoms. In the fifteenth In site, In is bonded in a 5-coordinate geometry to one Sr and five Au atoms. In the sixteenth In site, In is bonded to three Sr and four Au atoms to form a mixture of distorted edge, face, and corner-sharing InSr3Au4 tetrahedra. In the seventeenth In site, In is bonded to three Sr and four Au atoms to form a mixture of distorted edge, face, and corner-sharing InSr3Au4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe2(P2O7)2 by Materials Project

Li3Fe2(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–1.96 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.71 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.82–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with three PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 1.94–2.22 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.34 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.46 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.84–2.00 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.82–2.10 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.42 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.27 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.07–2.22 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.21 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.22 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.03–2.68 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.07–2.27 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 a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 19–56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–51°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two FeO5 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 32°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 32–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 56°.

36 MATERIALS SCIENCE↗

Materials Data on K3Na9Sr4(BO2)20 by Materials Project

K3Na9Sr4(BO2)20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.57–3.24 Å. In the second K1+ site, K1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.57–3.25 Å. In the third K1+ site, K1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.25 Å. There are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share an edgeedge with one NaO6 octahedra and an edgeedge with one BO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.66 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share an edgeedge with one NaO6 octahedra and an edgeedge with one BO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.65 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share an edgeedge with one NaO6 pentagonal pyramid and an edgeedge with one BO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.29–2.65 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share an edgeedge with one NaO6 octahedra and an edgeedge with one BO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.66 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.82 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.79 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.80 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.79 Å. In the ninth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to two O2- atoms. There are one shorter (2.35 Å) and one longer (2.54 Å) Na–O bond lengths. There are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.77 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.78 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.79 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.79 Å. There are twenty inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.44 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.44 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.44 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.44 Å. In the ninth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share an edgeedge with one NaO6 pentagonal pyramid. There are a spread of B–O bond distances ranging from 1.48–1.50 Å. In the tenth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share an edgeedge with one NaO6 octahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the eleventh B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share an edgeedge with one NaO6 octahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the twelfth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share an edgeedge with one NaO6 octahedra. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the thirteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the fourteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.43 Å. In the fifteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.43 Å. In the sixteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.43 Å. In the seventeenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the eighteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 Å. In the nineteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the twentieth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Sr2+, and two B3+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Sr2+, and two B3+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Sr2+, and two B3+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Sr2+, and two B3+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, two Sr2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, two Sr2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, two Sr2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, two Sr2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+, one Sr2+, and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+, one Sr2+, and two B3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+, one Sr2+, and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+, one Sr2+, and two B3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Na1+, and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two B3+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two K1+, one Na1+, one Sr2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one Na1+, one Sr2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+, one Na1+, one Sr2+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Sr2+, and two B3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Sr2+, and two B3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sr2+ and two B3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Sr2+, and two B3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Sr2+, and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Sr2+, and one B3+ atom. In the fortieth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Na1+, one Sr2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.70 Å. In the third Li1+ site, Li1+ is bonded to four O2- 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 66–70°. There are a spread of Li–O bond distances ranging from 1.87–2.22 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the fifth 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 1.96–2.29 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.13 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are two shorter (2.00 Å) and two longer (2.12 Å) Li–O bond lengths. 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 1.93–2.10 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- 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 66–69°. There are a spread of Li–O bond distances ranging from 1.89–2.26 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.10 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.60 Å. In the twelfth 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 1.95–2.29 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–1.98 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.26–2.49 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.99–2.07 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- 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 1.98–2.08 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.01 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- 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 1.90–2.06 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.02 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.03 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 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.53–1.62 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 29–35°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 34–39°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 46–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 35–39°. There are a spread of P–O bond distances ranging from 1.50–1.60 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–40°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ 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+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ ato

36 MATERIALS SCIENCE↗