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Materials Data on Zn2GaP3H8(NO6)2 by Materials Project

Zn8Ga4P12H12(NO16)3(NH4)5 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of five ammonium molecules and one Zn8Ga4P12H12(NO16)3 framework. In the Zn8Ga4P12H12(NO16)3 framework, there are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.94–1.97 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.93–1.99 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.93–1.99 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.91–2.02 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.92–1.99 Å. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.94–1.98 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.94–2.01 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.93–1.97 Å. There are four inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four PO4 tetrahedra. There is two shorter (1.84 Å) and two longer (1.86 Å) Ga–O bond length. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.84–1.86 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.84–1.88 Å. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.84–1.87 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 a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. 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 ZnO4 tetrahedra and corners with two GaO4 tetrahedra. 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 a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZnO4 tetrahedra and corners with two GaO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZnO4 tetrahedra and corners with two GaO4 tetrahedra. 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 a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZnO4 tetrahedra and corners with two GaO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZnO4 tetrahedra and corners with two GaO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are three inequivalent N3- sites. In the first N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.03–1.05 Å. In the second N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.03–1.06 Å. In the third N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.03–1.05 Å. There are twelve inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.71 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.72 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.71 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.69 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.70 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12Pt by Materials Project

Mg16PtAl12 is beta Plutonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to four Mg and twelve Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.15–3.37 Å. There are a spread of Mg–Al bond distances ranging from 3.07–3.30 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.13 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.13 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to two Mg, one Pt, and five Al atoms. The Mg–Pt bond length is 2.82 Å. There are a spread of Mg–Al bond distances ranging from 3.03–3.14 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to five Mg, one Pt, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.09–3.14 Å. The Mg–Pt bond length is 2.94 Å. There are a spread of Mg–Al bond distances ranging from 2.99–3.30 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, one Pt, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.01–3.33 Å. The Mg–Pt bond length is 3.16 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.14 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.10–3.15 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.23 Å. In the seventh Mg site, Mg is bonded in a 1-coordinate geometry to three Mg, one Pt, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.10–3.19 Å. The Mg–Pt bond length is 2.76 Å. There are a spread of Mg–Al bond distances ranging from 2.87–3.18 Å. In the eighth Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are one shorter (3.04 Å) and one longer (3.05 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.04–3.15 Å. In the ninth Mg site, Mg is bonded in a 1-coordinate geometry to seven Mg, one Pt, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.23 Å. The Mg–Pt bond length is 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.87–3.23 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and five Al atoms. There are one shorter (3.17 Å) and one longer (3.18 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.89–3.05 Å. In the eleventh Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and five Al atoms. The Mg–Mg bond length is 3.09 Å. There are a spread of Mg–Al bond distances ranging from 2.91–3.07 Å. In the twelfth Mg site, Mg is bonded in a 1-coordinate geometry to seven Mg, one Pt, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.14 Å. The Mg–Pt bond length is 3.15 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.24 Å. In the thirteenth Mg site, Mg is bonded in a 10-coordinate geometry to two Mg and seven Al atoms. There are a spread of Mg–Al bond distances ranging from 3.08–3.37 Å. In the fourteenth Mg site, Mg is bonded in a 2-coordinate geometry to three Mg, one Pt, and four Al atoms. The Mg–Pt bond length is 2.79 Å. There are a spread of Mg–Al bond distances ranging from 2.86–3.18 Å. In the fifteenth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. The Mg–Mg bond length is 3.33 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.23 Å. In the sixteenth Mg site, Mg is bonded in a 12-coordinate geometry to three Mg, one Pt, and five Al atoms. The Mg–Pt bond length is 3.16 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.15 Å. Pt is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Pt–Al bond distances ranging from 2.60–2.64 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded in a 1-coordinate geometry to seven Mg, one Pt, and three Al atoms. There are two shorter (2.73 Å) and one longer (2.76 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.73 Å) and one longer (2.76 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. There are one shorter (2.68 Å) and two longer (2.72 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded in a 1-coordinate geometry to eight Mg, one Pt, and three Al atoms. There are one shorter (2.70 Å) and one longer (2.71 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. There are one shorter (2.65 Å) and one longer (2.72 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 12-coordinate geometry to nine Mg and three Al atoms. The Al–Al bond length is 2.74 Å. In the seventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the eighth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–2.73 Å. In the ninth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.66 Å) and one longer (2.71 Å) Al–Al bond lengths. In the tenth Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. In the eleventh Al site, Al is bonded in a 1-coordinate geometry to five Mg, one Pt, and three Al atoms. In the twelfth Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Fe–O bond distances ranging from 2.14–2.25 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Co–O bond distances ranging from 2.07–2.24 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.08–2.22 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Co–O bond distances ranging from 2.08–2.23 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.08–2.23 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 a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. 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 a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 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 CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. 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 a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 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, corners with two equivalent LiO6 octahedra, corners wit

36 MATERIALS SCIENCE↗

Materials Data on TlBi25O39 by Materials Project

TlBi25O39 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Tl3+ is bonded to four O2- atoms to form TlO4 tetrahedra that share corners with eleven BiO5 square pyramids. There are a spread of Tl–O bond distances ranging from 2.18–2.21 Å. There are twenty-five inequivalent Bi3+ sites. In the first 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 2.12–2.61 Å. In the second 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 2.11–2.66 Å. In the third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.59 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.62 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.63 Å. In the sixth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.77 Å. In the seventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.56 Å. In the eighth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.65 Å. In the ninth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.61 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.75 Å. In the eleventh 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 2.11–2.73 Å. In the twelfth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.57 Å. In the thirteenth 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 2.14–2.64 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.36 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with four BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.63 Å. In the eighteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.54 Å. In the nineteenth 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 2.13–2.75 Å. In the twentieth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.55 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.10–2.71 Å. In the twenty-second 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 2.13–2.77 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.45 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.42 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.12 Å) and one longer (2.13 Å) Bi–O bond lengths. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three 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 trigonal planar geometry to three Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form distorted corner-sharing OTlBi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. 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 distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Cs7(In2Bi3)2 by Materials Project

Cs7(In2Bi3)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are fourteen inequivalent Cs sites. In the first Cs site, Cs is bonded in a 3-coordinate geometry to three In and six Bi atoms. There are a spread of Cs–In bond distances ranging from 3.80–4.26 Å. There are a spread of Cs–Bi bond distances ranging from 3.94–4.38 Å. In the second Cs site, Cs is bonded in a 6-coordinate geometry to six Bi atoms. There are a spread of Cs–Bi bond distances ranging from 3.92–4.31 Å. In the third Cs site, Cs is bonded in a 3-coordinate geometry to one In and five Bi atoms. The Cs–In bond length is 4.15 Å. There are a spread of Cs–Bi bond distances ranging from 3.90–4.64 Å. In the fourth Cs site, Cs is bonded in a 6-coordinate geometry to one In and five Bi atoms. The Cs–In bond length is 4.13 Å. There are a spread of Cs–Bi bond distances ranging from 4.03–4.37 Å. In the fifth Cs site, Cs is bonded in a 6-coordinate geometry to six Bi atoms. There are a spread of Cs–Bi bond distances ranging from 3.87–4.27 Å. In the sixth Cs site, Cs is bonded in a 7-coordinate geometry to one In and six Bi atoms. The Cs–In bond length is 3.84 Å. There are a spread of Cs–Bi bond distances ranging from 3.87–4.17 Å. In the seventh Cs site, Cs is bonded in a 4-coordinate geometry to five Bi atoms. There are a spread of Cs–Bi bond distances ranging from 3.85–4.45 Å. In the eighth Cs site, Cs is bonded in a 6-coordinate geometry to three In and six Bi atoms. There are a spread of Cs–In bond distances ranging from 3.92–4.37 Å. There are a spread of Cs–Bi bond distances ranging from 3.95–4.25 Å. In the ninth Cs site, Cs is bonded in a 2-coordinate geometry to two In and six Bi atoms. There are one shorter (3.93 Å) and one longer (4.16 Å) Cs–In bond lengths. There are a spread of Cs–Bi bond distances ranging from 3.86–4.42 Å. In the tenth Cs site, Cs is bonded in a 9-coordinate geometry to three In and six Bi atoms. There are a spread of Cs–In bond distances ranging from 3.93–4.13 Å. There are a spread of Cs–Bi bond distances ranging from 3.93–4.20 Å. In the eleventh Cs site, Cs is bonded in a 7-coordinate geometry to one In and six Bi atoms. The Cs–In bond length is 4.21 Å. There are a spread of Cs–Bi bond distances ranging from 4.05–4.30 Å. In the twelfth Cs site, Cs is bonded in a 5-coordinate geometry to one In and four Bi atoms. The Cs–In bond length is 4.10 Å. There are a spread of Cs–Bi bond distances ranging from 4.02–4.24 Å. In the thirteenth Cs site, Cs is bonded in a 4-coordinate geometry to one In and six Bi atoms. The Cs–In bond length is 3.88 Å. There are a spread of Cs–Bi bond distances ranging from 3.92–4.56 Å. In the fourteenth Cs site, Cs is bonded in a 6-coordinate geometry to one In and five Bi atoms. The Cs–In bond length is 4.12 Å. There are a spread of Cs–Bi bond distances ranging from 3.91–4.37 Å. There are eight inequivalent In sites. In the first In site, In is bonded in a 4-coordinate geometry to two Cs and four Bi atoms. There are a spread of In–Bi bond distances ranging from 2.98–3.10 Å. In the second In site, In is bonded in a 4-coordinate geometry to three Cs and four Bi atoms. There are a spread of In–Bi bond distances ranging from 3.05–3.10 Å. In the third In site, In is bonded in a 3-coordinate geometry to three Cs, one In, and three Bi atoms. The In–In bond length is 3.03 Å. There are a spread of In–Bi bond distances ranging from 3.03–3.14 Å. In the fourth In site, In is bonded in a 4-coordinate geometry to two Cs and four Bi atoms. There are a spread of In–Bi bond distances ranging from 3.02–3.09 Å. In the fifth In site, In is bonded in a 3-coordinate geometry to four Cs, one In, and three Bi atoms. The In–In bond length is 3.06 Å. There are a spread of In–Bi bond distances ranging from 3.05–3.15 Å. In the sixth In site, In is bonded in a 4-coordinate geometry to one Cs and four Bi atoms. There are a spread of In–Bi bond distances ranging from 3.03–3.11 Å. In the seventh In site, In is bonded in a 5-coordinate geometry to one Cs and four Bi atoms. There are a spread of In–Bi bond distances ranging from 2.99–3.08 Å. In the eighth In site, In is bonded in a 6-coordinate geometry to two Cs and four Bi atoms. There are a spread of In–Bi bond distances ranging from 2.96–3.15 Å. There are twelve inequivalent Bi sites. In the first Bi site, Bi is bonded in a 10-coordinate geometry to nine Cs and one In atom. In the second Bi site, Bi is bonded in a 9-coordinate geometry to six Cs and three In atoms. In the third Bi site, Bi is bonded in a 9-coordinate geometry to six Cs and three In atoms. In the fourth Bi site, Bi is bonded in a 9-coordinate geometry to seven Cs and two In atoms. In the fifth Bi site, Bi is bonded in a 9-coordinate geometry to seven Cs and two In atoms. In the sixth Bi site, Bi is bonded in a 9-coordinate geometry to six Cs and three In atoms. In the seventh Bi site, Bi is bonded in a 10-coordinate geometry to five Cs and three In atoms. In the eighth Bi site, Bi is bonded in a 9-coordinate geometry to six Cs and three In atoms. In the ninth Bi site, Bi is bonded in a 9-coordinate geometry to seven Cs and two In atoms. In the tenth Bi site, Bi is bonded in a 9-coordinate geometry to six Cs and three In atoms. In the eleventh Bi site, Bi is bonded in a 9-coordinate geometry to six Cs and three In atoms. In the twelfth Bi site, Bi is bonded in a 9-coordinate geometry to seven Cs and two In atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pb13(Br3O5)2 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li10Ge(PO6)2 by Materials Project

Li10Ge(PO6)2 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.58 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one GeO4 tetrahedra, corners with three PO4 tetrahedra, corners with four LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.18 Å. In the third 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 1.98–2.57 Å. In the fourth 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 2.01–2.57 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two PO4 tetrahedra, corners with three LiO4 tetrahedra, an edgeedge with one GeO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, corners with two equivalent GeO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one PO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.46 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.01 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 2.01–2.48 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one GeO4 tetrahedra, a cornercorner with one PO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the tenth 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 1.96–2.51 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one GeO4 tetrahedra, corners with three PO4 tetrahedra, corners with four LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.15 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two PO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one GeO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.07 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 1.92–2.24 Å. In the fourteenth 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 1.91–2.18 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one GeO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.11 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two GeO4 tetrahedra, corners with two PO4 tetrahedra, and corners with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.09 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two LiO4 tetrahedra, corners with two GeO4 tetrahedra, corners with two PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one GeO4 tetrahedra, corners with three PO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the nineteenth 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 1.96–2.17 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one GeO4 tetrahedra, a cornercorner with one PO4 tetrahedra, corners with five LiO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.88–2.02 Å. There are two inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with five LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Ge–O bond distances ranging from 1.76–1.82 Å. In the second Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Ge–O bond distances ranging from 1.76–1.80 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six LiO4 tetrahedra. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.56–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.56–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded to three Li1+ and one P5+ atom to form OLi3P tetrahedra that share a cornercorner with one OLi3Ge tetrahedra, corners with four OLi4Ge trigonal bipyramids, and a cornercorner with one OLi3P trigonal pyramid. In the third O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ 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 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the tenth O2- site, O2- is bonded to four Li1+ and one Ge4+ atom to form OLi4Ge trigonal bipyramids that share corners with three OLi3P tetrahedra and corners with two OLi4Ge trigonal bipyramids. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted OLi3P trigonal pyramids that share corners with two OLi3Ge tetrahedra, a cornercorner with one OLi4P trigonal bipyramid, a cornercorner with one OLi3Ge trigonal pyramid, and an edgeedge with one OLi3P tetrahedra. In the thirteenth O2- site, O2- is bonded to four Li1+ and one P5+ atom to form distorted OLi4P trigonal bipyramids that share corners with two equivalent OLi3P tetrahedra, corners with two OLi3P trigonal pyramids, an edgeedge with one OLi3Ge tetrahedra, and an edgeedge with one OLi4Ge trigonal bipyramid. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded to four Li1+ and one Ge4+ atom to form OLi4Ge trigonal bipyramids that share a cornercorner with one OLi3P tetrahedra, a cornercorner with one OLi4Ge trigonal bipyramid, and a cornercorner with one OLi3Ge trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the seventeenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form OLi3P tetrahedra that share corners with two OLi4Ge trigonal bipyramids, a cornercorner with one OLi3Ge trigonal pyramid, and an edgeedge with one OLi3P trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded to three Li1+ and one Ge4+ atom to form OLi3Ge tetrahedra that share a cornercorner with one OLi3P tetrahedra, corners with three OLi4Ge trigonal bipyramids, a cornercorner with one OLi3P trigonal pyramid, and an edgeedge with one OLi4P trigonal bipyramid. In the twentieth O2- site, O2- is bonded to four Li1+ and one Ge4+ atom to form OLi4Ge trigonal bipyramids that share corners with three OLi3Ge tetrahedra, a cornercorner with one OLi4Ge trigonal bipyramid, and an edgeedge with one OLi4P trigonal bipyramid. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to five Li1+ and one Ge4+ atom. In the twenty-second O2- site, O2- is bonded to three Li1+ and one Ge4+ atom to form distorted OLi3Ge trigonal pyramids that share a cornercorner with one OLi3P tetrahedra, corners with two OLi4P trigonal bipyramids, and a cornercorner with one OLi3P trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li27As10 by Materials Project

Li27As10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–As bond distances ranging from 2.60–2.72 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As+2.70- atoms. There are a spread of Li–As bond distances ranging from 2.86–3.14 Å. In the third Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the fourth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with five LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.85–3.12 Å. In the fifth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Li–As bond distances ranging from 2.69–2.71 Å. In the sixth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–As bond distances ranging from 2.58–2.72 Å. In the seventh Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the eighth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Li–As bond distances ranging from 2.69–2.71 Å. In the ninth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Li–As bond distances ranging from 2.64–2.71 Å. In the tenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–As bond distances ranging from 2.60–2.70 Å. In the eleventh Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with seven LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.91–3.12 Å. In the twelfth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the thirteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Li–As bond distances ranging from 2.68–2.72 Å. In the fourteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Li–As bond distances ranging from 2.57–2.73 Å. In the fifteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Li–As bond distances ranging from 2.58–2.67 Å. In the sixteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–61°. There are a spread of Li–As bond distances ranging from 2.61–2.74 Å. In the seventeenth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with seven LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.98–3.09 Å. In the eighteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are one shorter (2.66 Å) and three longer (2.71 Å) Li–As bond lengths. In the nineteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Li–As bond distances ranging from 2.62–2.70 Å. In the twentieth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with six LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.92–3.12 Å. In the twenty-first Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with five LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Li–As bond distances ranging from 2.58–2.73 Å. In the twenty-second Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Li–As bond distances ranging from 2.59–2.75 Å. In the twenty-third Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are two shorter (2.60 Å) and two longer (2.67 Å) Li–As bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with two equivalent LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with eight LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Li–As bond distances ranging from 2.84–3.10 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form LiAs6 octahedra that share corners with six LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with five LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.97–3.10 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Li–As bond distances ranging from 2.60–2.73 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with five LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Li–As bond distances ranging from 2.59–2.74 Å. There are ten inequivalent As+2.70- sites. In the first As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the second As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the third As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the fourth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the fifth As+2.70- site, As+2.70- is bonded in a 9-coordinate geometry to thirteen Li1+ atoms. In the sixth As+2.70- site, As+2.70- is bonded in a distorted body-centered cubic geometry to twelve Li1+ atoms. In the seventh As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the eighth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to thirteen Li1+ atoms. In the ninth As+2.70- site, As+2.70- is bonded in a distorted body-centered cubic geometry to twelve Li1+ atoms. In the tenth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Al2Si3(HO3)4 by Materials Project

Na2Al2Si3(HO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first 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 2.33–2.66 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 2.39–2.92 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 2.26–2.90 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.58 Å. There are a spread of Na–O bond distances ranging from 2.36–2.82 Å. In the fifth 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 2.23–2.68 Å. In the sixth 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 2.18–2.43 Å. In the seventh 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 2.27–2.60 Å. In the eighth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to one H1+ and four O2- atoms. The Na–H bond length is 2.29 Å. There are a spread of Na–O bond distances ranging from 2.23–2.45 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 trigonal pyramids that share a cornercorner with one SiHO3 tetrahedra and a cornercorner with one SiHO4 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.77–1.91 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.84 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, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.76–1.89 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlHO3 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, a cornercorner with one SiHO4 trigonal bipyramid, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Al–O bond distances ranging from 1.72–1.87 Å. In the fifth Al3+ site, Al3+ is bonded to one H1+ and three O2- atoms to form distorted AlHO3 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlO4 tetrahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. The Al–H bond length is 1.59 Å. There are a spread of Al–O bond distances ranging from 1.75–1.86 Å. In the sixth Al3+ site, Al3+ is bonded to one H1+ and five O2- atoms to form distorted AlHO5 octahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one AlO5 trigonal bipyramid. The Al–H bond length is 2.04 Å. There are a spread of Al–O bond distances ranging from 1.77–2.09 Å. In the seventh Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.79–2.14 Å. In the eighth Al3+ site, Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one AlHO5 octahedra. There are a spread of Al–O bond distances ranging from 1.77–1.93 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the second Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to one H1+ and two O2- atoms. The Si–H bond length is 1.49 Å. There is one shorter (1.65 Å) and one longer (1.70 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.60–1.78 Å. In the fourth Si4+ site, Si4+ is bonded to one H1+ and four O2- atoms to form SiHO4 trigonal bipyramids that share a cornercorner with one AlO4 trigonal pyramid. The Si–H bond length is 1.50 Å. There are a spread of Si–O bond distances ranging from 1.73–1.80 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form distorted SiO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlHO3 tetrahedra, a cornercorner with one SiHO4 trigonal bipyramid, and an edgeedge with one AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Si–O bond distances ranging from 1.56–1.75 Å. In the sixth Si4+ site, Si4+ is bonded to one H1+ and four O2- atoms to form distorted SiHO4 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra and corners with two SiO4 tetrahedra. The Si–H bond length is 1.47 Å. There are a spread of Si–O bond distances ranging from 1.70–1.81 Å. In the seventh Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.67 Å) and two longer (1.69 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two H1+ and one O2- atom. There is one shorter (1.46 Å) and one longer (1.49 Å) Si–H bond length. The Si–O bond length is 1.67 Å. In the ninth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.65–1.68 Å. In the tenth Si4+ site, Si4+ is bonded to one H1+ and three O2- atoms to form SiHO3 tetrahedra that share a cornercorner with one AlO4 trigonal pyramid. The Si–H bond length is 1.49 Å. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlO5 trigonal bipyramid, and a cornercorner with one SiHO4 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.58–1.74 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the second H1+ site, H1+ is bonded in a distorted single-bond geometry to one Na1+ and one Si4+ atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the sixth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.53 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.06 Å) and one longer (1.48 Å) H–O bond length. In the eighth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.69 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.02 Å. In the thirteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.58 Å) H–O bond length. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifteenth H1+ site, H1+ is bonded in a 3-coordinate geometry to one Na1+ and two Al3+ atoms. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.49 Å. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Al3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one H1+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.51 Å. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, and one O2- atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one H1+, and one O2- atom. The O–O bond length is 1.47 Å. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Al3+, and one O2- atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+, one Si4+, and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, and one O2- atom. The O–O bond length is 1.49 Å. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one O2- atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Al3+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Al3+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Al3+, and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, one H1+, and one O2- atom. The O–O bond length is 1.52 Å. In the twenty-seventh O2- site, O2- is bonded in a 2-

36 MATERIALS SCIENCE↗

Materials Data on Sm4AlSi5(NO)7 by Materials Project

Sm4AlSi5(NO)7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 7-coordinate geometry to four N3- and four O2- atoms. There are a spread of Sm–N bond distances ranging from 2.32–2.97 Å. There are a spread of Sm–O bond distances ranging from 2.30–3.06 Å. In the second Sm3+ site, Sm3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Sm–N bond distances ranging from 2.31–2.67 Å. There are a spread of Sm–O bond distances ranging from 2.43–2.73 Å. In the third Sm3+ site, Sm3+ is bonded in a 6-coordinate geometry to four N3- and one O2- atom. There are a spread of Sm–N bond distances ranging from 2.20–2.55 Å. The Sm–O bond length is 2.70 Å. In the fourth Sm3+ site, Sm3+ is bonded in a 6-coordinate geometry to three N3- and three O2- atoms. There are a spread of Sm–N bond distances ranging from 2.28–2.63 Å. There are a spread of Sm–O bond distances ranging from 2.34–2.54 Å. In the fifth Sm3+ site, Sm3+ is bonded in a 7-coordinate geometry to three N3- and four O2- atoms. There are a spread of Sm–N bond distances ranging from 2.39–2.67 Å. There are a spread of Sm–O bond distances ranging from 2.25–2.77 Å. In the sixth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to six N3- and three O2- atoms. There are a spread of Sm–N bond distances ranging from 2.46–2.86 Å. There are a spread of Sm–O bond distances ranging from 2.38–2.78 Å. In the seventh Sm3+ site, Sm3+ is bonded in a 6-coordinate geometry to three N3- and three O2- atoms. There are a spread of Sm–N bond distances ranging from 2.23–2.58 Å. There are a spread of Sm–O bond distances ranging from 2.31–2.53 Å. In the eighth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to six N3- and two O2- atoms. There are a spread of Sm–N bond distances ranging from 2.49–2.85 Å. There are one shorter (2.32 Å) and one longer (2.38 Å) Sm–O bond lengths. In the ninth Sm3+ site, Sm3+ is bonded in a 4-coordinate geometry to six N3- and two O2- atoms. There are a spread of Sm–N bond distances ranging from 2.35–2.97 Å. There are one shorter (2.44 Å) and one longer (2.60 Å) Sm–O bond lengths. In the tenth Sm3+ site, Sm3+ is bonded in a 4-coordinate geometry to four N3- and one O2- atom. There are a spread of Sm–N bond distances ranging from 2.32–2.69 Å. The Sm–O bond length is 2.42 Å. In the eleventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to five N3- and two O2- atoms. There are a spread of Sm–N bond distances ranging from 2.38–2.69 Å. There are one shorter (2.27 Å) and one longer (2.80 Å) Sm–O bond lengths. In the twelfth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to five N3- and three O2- atoms. There are a spread of Sm–N bond distances ranging from 2.44–2.58 Å. There are a spread of Sm–O bond distances ranging from 2.45–2.81 Å. There are three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded in a 5-coordinate geometry to one N3- and four O2- atoms. The Al–N bond length is 1.97 Å. There are a spread of Al–O bond distances ranging from 1.85–1.98 Å. In the second Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form distorted AlN3O tetrahedra that share a cornercorner with one SiN2O2 tetrahedra. There are a spread of Al–N bond distances ranging from 1.87–2.01 Å. The Al–O bond length is 1.77 Å. In the third Al3+ site, Al3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Al–O bond distances ranging from 1.82–1.87 Å. There are fifteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to one N3- and two O2- atoms. The Si–N bond length is 1.77 Å. There is one shorter (1.69 Å) and one longer (1.70 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded in a tetrahedral geometry to two N3- and two O2- atoms. There is one shorter (1.67 Å) and one longer (1.75 Å) Si–N bond length. There is one shorter (1.67 Å) and one longer (1.69 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded in a T-shaped geometry to one N3- and two O2- atoms. The Si–N bond length is 2.01 Å. There is one shorter (1.73 Å) and one longer (1.82 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded in a 5-coordinate geometry to two N3- and three O2- atoms. There is one shorter (1.80 Å) and one longer (1.82 Å) Si–N bond length. There are a spread of Si–O bond distances ranging from 1.69–2.20 Å. In the fifth Si4+ site, Si4+ is bonded in a bent 120 degrees geometry to one N3- and one O2- atom. The Si–N bond length is 1.83 Å. The Si–O bond length is 1.65 Å. In the sixth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two N3- and one O2- atom. There is one shorter (1.76 Å) and one longer (1.80 Å) Si–N bond length. The Si–O bond length is 1.64 Å. In the seventh Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to two N3- and one O2- atom. There is one shorter (1.75 Å) and one longer (1.85 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the eighth Si4+ site, Si4+ is bonded in a T-shaped geometry to two N3- and one O2- atom. There is one shorter (1.79 Å) and one longer (1.82 Å) Si–N bond length. The Si–O bond length is 1.72 Å. In the ninth Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.73 Å. In the tenth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the eleventh Si4+ site, Si4+ is bonded in a see-saw-like geometry to two N3- and two O2- atoms. There is one shorter (1.74 Å) and one longer (1.85 Å) Si–N bond length. There is one shorter (1.72 Å) and one longer (1.77 Å) Si–O bond length. In the twelfth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to one N3- and two O2- atoms. The Si–N bond length is 1.71 Å. There is one shorter (1.66 Å) and one longer (1.70 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form corner-sharing SiN2O2 trigonal pyramids. There is one shorter (1.74 Å) and one longer (1.78 Å) Si–N bond length. There is one shorter (1.80 Å) and one longer (1.94 Å) Si–O bond length. In the fourteenth Si4+ site, Si4+ is bonded in a tetrahedral geometry to two N3- and two O2- atoms. There is one shorter (1.71 Å) and one longer (1.78 Å) Si–N bond length. There is one shorter (1.65 Å) and one longer (1.72 Å) Si–O bond length. In the fifteenth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share a cornercorner with one AlN3O tetrahedra and a cornercorner with one SiN2O2 trigonal pyramid. There is one shorter (1.70 Å) and one longer (1.77 Å) Si–N bond length. There is one shorter (1.67 Å) and one longer (1.69 Å) Si–O bond length. There are twenty-one inequivalent N3- sites. In the first N3- site, N3- is bonded in a 1-coordinate geometry to four Sm3+ and one Si4+ atom. In the second N3- site, N3- is bonded in a 1-coordinate geometry to four Sm3+ and one Al3+ atom. In the third N3- site, N3- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two Si4+ atoms. In the fourth N3- site, N3- is bonded in a 1-coordinate geometry to two Sm3+, one Si4+, and one N3- atom. The N–N bond length is 1.49 Å. In the fifth N3- site, N3- is bonded in a 2-coordinate geometry to two Sm3+ and two Si4+ atoms. In the sixth N3- site, N3- is bonded in a 1-coordinate geometry to three Sm3+, one Si4+, and one N3- atom. In the seventh N3- site, N3- is bonded in a 1-coordinate geometry to two Sm3+, one Si4+, and one N3- atom. The N–N bond length is 1.48 Å. In the eighth N3- site, N3- is bonded in a 2-coordinate geometry to one Sm3+, two Si4+, and one N3- atom. The N–N bond length is 1.48 Å. In the ninth N3- site, N3- is bonded in a 5-coordinate geometry to three Sm3+, one Al3+, and one N3- atom. In the tenth N3- site, N3- is bonded in a distorted single-bond geometry to three Sm3+, one Si4+, and one N3- atom. The N–N bond length is 1.54 Å. In the eleventh N3- site, N3- is bonded in a 4-coordinate geometry to three Sm3+ and one N3- atom. The N–N bond length is 1.45 Å. In the twelfth N3- site, N3- is bonded in a 2-coordinate geometry to one Sm3+, two Si4+, and one N3- atom. In the thirteenth N3- site, N3- is bonded in a 1-coordinate geometry to three Sm3+, one Si4+, and one N3- atom. In the fourteenth N3- site, N3- is bonded in a 2-coordinate geometry to two Sm3+, one Al3+, one Si4+, and one N3- atom. The N–N bond length is 1.49 Å. In the fifteenth N3- site, N3- is bonded in a 1-coordinate geometry to three Sm3+, one Si4+, and one N3- atom. The N–N bond length is 1.50 Å. In the sixteenth N3- site, N3- is bonded in a 4-coordinate geometry to two Sm3+, one Al3+, and one N3- atom. In the seventeenth N3- site, N3- is bonded in a 1-coordinate geometry to two Sm3+, one Si4+, and one N3- atom. In the eighteenth N3- site, N3- is bonded in a 1-coordinate geometry to three Sm3+, one Si4+, and one N3- atom. In the nineteenth N3- site, N3- is bonded in a distorted trigonal pyramidal geometry to three Sm3+ and one Si4+ atom. In the twentieth N3- site, N3- is bonded in a 4-coordinate geometry to three Sm3+ and one Si4+ atom. In the twenty-first N3- site, N3- is bonded in a 2-coordinate geometry to two Sm3+ and two Si4+ atoms. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Sm3+ and one Al3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Sm3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Sm3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Sm3+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Sm3+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Sm3+ and two Si4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sm3+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Sm3+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Sm3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sm3+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Sm3+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted water-like geometry to one Sm3+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sm3+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sm3+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sm3+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sm3+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sm3+ and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sm3+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sm3+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Sm3+, one Al3+, and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Rb2EuGa(SiO3)4 by Materials Project

Rb2EuGa(SiO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.96–3.40 Å. In the second Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.98–3.42 Å. In the third Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 2.90–3.64 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.97–3.35 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.96–3.39 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.91–3.18 Å. In the seventh Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.91–3.17 Å. In the eighth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.88–3.18 Å. There are four inequivalent Eu3+ sites. In the first Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.31–2.82 Å. In the second Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.31–2.80 Å. In the third Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.31–2.80 Å. In the fourth Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.32–2.80 Å. There are four inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.86 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.85 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.86 Å. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.86 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 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 twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 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 fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 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 fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 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 sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids 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 1-coordinate geometry to two Rb1+, one Eu3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Ga3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two Eu3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+, two Eu3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+, one Ga3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Eu3+, one Ga3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Rb1+, one Eu3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+, two Eu3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+, one Ga3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Eu3+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Rb1+, one Eu3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Eu3+, one Ga3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 120 degree

36 MATERIALS SCIENCE↗

Materials Data on Zr27O49 by Materials Project

Zr27O49 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twenty-five inequivalent Zr+3.63+ sites. In the first Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.15–2.23 Å. In the second Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.32 Å. In the third Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.43 Å. In the fourth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.13–2.21 Å. In the fifth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.49 Å. In the sixth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.13–2.28 Å. In the seventh Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.32 Å. In the eighth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.41 Å. In the ninth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.14–2.22 Å. In the tenth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.30 Å. In the eleventh Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.40 Å. In the twelfth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.12–2.24 Å. In the thirteenth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.29 Å. In the fourteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.28 Å. In the fifteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.25 Å. In the sixteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the seventeenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the eighteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the nineteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twentieth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twenty-first Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twenty-second Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the twenty-third Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.26 Å. In the twenty-fourth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the twenty-fifth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.40 Å. There are forty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. The O–Zr bond length is 2.23 Å. In the thirty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. There are one shorter (2.22 Å) and three longer (2.23 Å) O–Zr bond lengths. In the thirty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. All O–Zr bond lengths are 2.22 Å. In the thirty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. All O–Zr bond lengths are 2.23 Å. In the fortieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. There are three shorter (2.22 Å) and one longer (2.24 Å) O–Zr bond lengths. In the forty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. The O–Zr bond length is 2.25 Å. In the forty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti20O40 by Materials Project

Na11Ti20O40 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eleven 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 2.43–2.45 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are five shorter (2.44 Å) and one longer (2.45 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.30–2.53 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.37–2.41 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are two shorter (2.37 Å) and four longer (2.39 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are two shorter (2.37 Å) and four longer (2.39 Å) Na–O bond lengths. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are two shorter (2.37 Å) and four longer (2.40 Å) Na–O bond lengths. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.36–2.39 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.37–2.41 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.29–2.53 Å. There are twenty inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.05 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the fourth Ti+3.45+ site, Ti+3.45+ 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 Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.00 Å. In the sixth Ti+3.45+ site, Ti+3.45+ 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 seventh Ti+3.45+ site, Ti+3.45+ 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 eighth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the ninth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the tenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the eleventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Ti–O bond distances ranging from 2.04–2.08 Å. In the thirteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.10 Å. In the fourteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are one shorter (2.08 Å) and five longer (2.09 Å) Ti–O bond lengths. In the fifteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.07–2.09 Å. In the sixteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.09 Å. In the seventeenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are one shorter (2.08 Å) and five longer (2.09 Å) Ti–O bond lengths. In the eighteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.10 Å. In the nineteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Ti–O bond distances ranging from 2.02–2.08 Å. In the twentieth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of Ti–O bond distances ranging from 2.02–2.10 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti+3.45+ atoms. In the second O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, corners with four equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.45+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with four equivalent ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, and edges with three ONa2Ti3 square pyramids. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.45+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with four equivalent ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, and edges with three ONa2Ti3 square pyramids. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eighteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, corners with four equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In t

36 MATERIALS SCIENCE↗

Materials Data on LiNi3P2 by Materials Project

LiNi3P2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with three LiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with twelve NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.71–2.84 Å. In the second Li1+ site, Li1+ is bonded to five P3- atoms to form LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.45–2.54 Å. In the third Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.44–2.55 Å. In the fourth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with four LiP5 square pyramids, corners with twelve NiP4 tetrahedra, an edgeedge with one LiP5 square pyramid, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.70–2.75 Å. In the fifth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two equivalent LiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two LiP5 square pyramids, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.72–2.78 Å. In the sixth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two NiP5 square pyramids, corners with three LiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with twelve NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.72–2.84 Å. In the seventh Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with two equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.45–2.56 Å. In the eighth Li1+ site, Li1+ is bonded to five P3- atoms to form LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with two equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.45–2.55 Å. In the ninth Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, edges with two equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.41–2.55 Å. In the tenth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two equivalent LiP5 square pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, an edgeedge with one NiP5 square pyramid, edges with two LiP5 square pyramids, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.72–2.76 Å. In the eleventh Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two equivalent NiP5 square pyramids, corners with four LiP5 square pyramids, corners with twelve NiP4 tetrahedra, an edgeedge with one LiP5 square pyramid, an edgeedge with one NiP5 square pyramid, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.71–2.76 Å. In the twelfth Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, edges with two equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.42–2.55 Å. There are thirty inequivalent Ni+1.67+ sites. In the first Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, a cornercorner with one NiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.22–2.30 Å. In the second Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with three LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.24–2.29 Å. In the third Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.18–2.29 Å. In the fourth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, a cornercorner with one NiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.22–2.27 Å. In the fifth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with three LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.23–2.29 Å. In the sixth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are one shorter (2.18 Å) and three longer (2.29 Å) Ni–P bond lengths. In the seventh Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.23–2.29 Å. In the eighth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.29 Å. In the ninth Ni+1.67+ site, Ni+1.67+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.33–2.75 Å. In the tenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.21–2.28 Å. In the eleventh Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with three NiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.29 Å. In the twelfth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are one shorter (2.20 Å) and three longer (2.28 Å) Ni–P bond lengths. In the thirteenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.21–2.29 Å. In the fourteenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with twelve NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with three NiP4 tetrahedra. There are two shorter (2.20 Å) and two longer (2.34 Å) Ni–P bond lengths. In the fifteenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with twelve NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.34 Å. In the sixteenth Ni+1.67+ site, Ni+1.67+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.32–2.72 Å. In the seventeenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedr

36 MATERIALS SCIENCE↗

Materials Data on Sc14Cu14O37 by Materials Project

Sc14Cu14O37 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.09–2.19 Å. In the second Sc3+ site, Sc3+ is bonded to six O2- atoms to form edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.09–2.21 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.14–2.37 Å. In the fourth Sc3+ site, Sc3+ is bonded to six O2- atoms to form distorted ScO6 octahedra that share edges with two equivalent ScO6 octahedra and edges with two equivalent ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.05–2.19 Å. In the fifth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share edges with two equivalent ScO6 octahedra and edges with four ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.15–2.31 Å. In the sixth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share edges with two equivalent ScO6 octahedra and edges with four ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.15–2.29 Å. In the seventh Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share edges with four ScO6 octahedra and edges with two equivalent ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.05–2.21 Å. In the eighth Sc3+ site, Sc3+ is bonded to six O2- atoms to form edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.10–2.20 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.34 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.53 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.49 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.50 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.53 Å. In the fourteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.43 Å. There are fourteen inequivalent Cu+2.29+ sites. In the first Cu+2.29+ site, Cu+2.29+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.81–1.88 Å. In the second Cu+2.29+ site, Cu+2.29+ is bonded in a linear geometry to two O2- atoms. Both Cu–O bond lengths are 1.82 Å. In the third Cu+2.29+ site, Cu+2.29+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–2.06 Å. In the fourth Cu+2.29+ site, Cu+2.29+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.89 Å. In the fifth Cu+2.29+ site, Cu+2.29+ is bonded in a see-saw-like geometry to four O2- atoms. There is two shorter (1.89 Å) and two longer (1.90 Å) Cu–O bond length. In the sixth Cu+2.29+ site, Cu+2.29+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–1.93 Å. In the seventh Cu+2.29+ site, Cu+2.29+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.92 Å. In the eighth Cu+2.29+ site, Cu+2.29+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.80 Å) and one longer (1.81 Å) Cu–O bond length. In the ninth Cu+2.29+ site, Cu+2.29+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.96 Å. In the tenth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.90–2.09 Å. In the eleventh Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.89–2.14 Å. In the twelfth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.88–2.18 Å. In the thirteenth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.86–2.21 Å. In the fourteenth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.84–2.30 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the second O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the third O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the fourth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the fifth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the sixth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with two equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the eighth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the ninth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with three OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the eleventh O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the thirteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with three OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the sixteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the seventeenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the nineteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the twentieth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the twenty-first O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with two equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the twenty-third O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Cu+2.29+ atoms. In the twenty-sixth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of edge and corner-sharing OSc3Cu tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Cu+2.29+ atoms. In the twenty-ninth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the thirtieth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of edge and corner-sharing OSc3Cu tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Cu+2.29+ atoms. In the thirty-second O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedr

36 MATERIALS SCIENCE↗

Materials Data on Zn2GaP3H8(NO6)2 by Materials Project

Zn2GaP3NH4O12NH4 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of four ammonium molecules and one Zn2GaP3NH4O12 framework. In the Zn2GaP3NH4O12 framework, there are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Zn–O bond distances ranging from 2.00–2.12 Å. In the second Zn2+ site, Zn2+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Zn–O bond distances ranging from 2.02–2.10 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.96–2.01 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.94–2.03 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.93–2.04 Å. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.94–2.03 Å. In the seventh Zn2+ site, Zn2+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Zn–O bond distances ranging from 1.87–2.67 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.92–2.02 Å. There are four inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three PO4 tetrahedra. There is one shorter (1.86 Å) and three longer (1.91 Å) Ga–O bond length. In the second Ga3+ site, Ga3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ga–O bond distances ranging from 2.07–2.10 Å. In the third Ga3+ site, Ga3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ga–O bond distances ranging from 1.98–2.06 Å. In the fourth Ga3+ site, Ga3+ is bonded in a distorted L-shaped geometry to three O2- atoms. There are a spread of Ga–O bond distances ranging from 1.98–2.41 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 a cornercorner with one GaO4 tetrahedra and corners with three ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.70 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 ZnO4 tetrahedra. There is three shorter (1.53 Å) and one longer (1.66 Å) P–O bond length. In the fourth 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 ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.67 Å. In the fifth 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 ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.69 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZnO4 tetrahedra. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. 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 ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra and a cornercorner with one GaO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.54–1.63 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.66 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra, a cornercorner with one GaO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.52–1.66 Å. There are four inequivalent N3- sites. In the first N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.03–1.06 Å. In the second N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.02–1.06 Å. In the third N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.03–1.06 Å. In the fourth N3- site, N3- is bonded in a tetrahedral geometry to four H1+ atoms. There are a spread of N–H bond distances ranging from 1.03–1.07 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.70 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.67 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.72 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.72 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.71 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fourteenth H1+ site, H1+ is bonded in a distorted single-bond geometry to one N3- and one O2- atom. The H–O bond length is 1.59 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted water-like geometry to one Zn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ga3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ and one O2- atom. The O–O bond length is 1.52 Å. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted L-shaped geometry to one Ga3+ and one O2- atom. The O–O bond length is 1.50 Å. In the ninth O2- site, O2- is bonded in a distorted L-shaped geometry to one Ga3+ and one O2- atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Zn2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Zn2+, one P5+, and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Zn2+ and two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a water-like geometry to one Zn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a water-like geometry to one Zn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted L-shaped geometry to one Ga3+ and one O2- atom. The O–O bond length is 1.52 Å. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Zn2+, one P5+, and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+, one P5+, and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Zn2+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Ga3+ and one O2- atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ga3+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Zn2+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a water-like geometry to one Ga3+ and one P5+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Li10Ge(PS6)2 by Materials Project

Li10GeP2S12 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.50–3.19 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.51–3.11 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent PS4 tetrahedra, corners with three LiS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with three LiS4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–S bond distances ranging from 2.56–3.01 Å. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, edges with four LiS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. There are a spread of Li–S bond distances ranging from 2.52–2.83 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Li–S bond distances ranging from 2.35–2.47 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.51–3.22 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and an edgeedge with one GeS4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Li–S bond distances ranging from 2.41–2.51 Å. In the eighth Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with six LiS4 tetrahedra, edges with two LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–S bond distances ranging from 2.54–3.10 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–71°. There are a spread of Li–S bond distances ranging from 2.37–2.50 Å. In the tenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with three LiS6 octahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent GeS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–41°. There are a spread of Li–S bond distances ranging from 2.43–2.88 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–68°. There are a spread of Li–S bond distances ranging from 2.36–2.60 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Li–S bond distances ranging from 2.47–2.65 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with three LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.53 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one GeS4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Li–S bond distances ranging from 2.41–2.56 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–S bond distances ranging from 2.38–2.48 Å. In the sixteenth Li1+ site, Li1+ is bonded to five S2- atoms to form distorted LiS5 trigonal bipyramids that share a cornercorner with one PS4 tetrahedra, corners with two GeS4 tetrahedra, corners with seven LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.92 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two equivalent LiS6 octahedra, corners with two GeS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Li–S bond distances ranging from 2.45–2.54 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Li–S bond distances ranging from 2.43–2.64 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Li–S bond distances ranging from 2.42–2.97 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with three LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one PS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 69°. There are a spread of Li–S bond distances ranging from 2.48–2.58 Å. There are two inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four S2- atoms to form GeS4 tetrahedra that share corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Ge–S bond distances ranging from 2.23–2.25 Å. In the second Ge4+ site, Ge4+ is bonded to four S2- atoms to form GeS4 tetrahedra that share corners with four LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Ge–S bond distances ranging from 2.22–2.27 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with five LiS6 octahedra and corners with five LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–57°. There are a spread of P–S bond distances ranging from 2.02–2.07 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three LiS6 octahedra, corners with three LiS4 tetrahedra, edges with two LiS4 tetrahedra, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 27–57°. There are a spread of P–S bond distances ranging from 2.04–2.06 Å. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, edges with three LiS6 octahedra, and edges with two LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to four Li1+ and one P5+ atom. In the second S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P square pyramids that share corners with three SLi4P trigonal bipyramids, corners with two SLi3P trigonal pyramids, an edgeedge with one SLi4Ge square pyramid, and edges with two SLi4P trigonal bipyramids. In the third S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the seventh S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P trigonal bipyramids that share corners with four SLi3P trigonal pyramids, an edgeedge with one SLi4P square pyramid, and edges with two SLi4P trigonal bipyramids. In the eighth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P trigonal pyramids that share a cornercorner with one SLi4P square pyramid, corners with three SLi4P trigonal bipyramids, corners with four SLi3P trigonal pyramids, and an edgeedge with one SLi4Ge trigonal bipyramid. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one Ge4+

36 MATERIALS SCIENCE↗

Materials Data on Li15(NiO2)14 by Materials Project

Li15(NiO2)14 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–2.07 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to one Ni+2.93+ and four O2- atoms. The Li–Ni bond length is 2.19 Å. There are a spread of Li–O bond distances ranging from 1.79–1.95 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.46 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the fourteenth 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 1.74–2.02 Å. In the fifteenth 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 1.96–2.39 Å. There are fourteen inequivalent Ni+2.93+ sites. In the first Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form distorted edge-sharing NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.96–2.11 Å. In the second Ni+2.93+ site, Ni+2.93+ is bonded in a 6-coordinate geometry to one Li1+ and six O2- atoms. There are a spread of Ni–O bond distances ranging from 1.96–2.16 Å. In the third Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Ni–O bond distances ranging from 1.88–2.06 Å. In the fourth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 1.87–2.05 Å. In the fifth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ni–O bond distances ranging from 1.88–2.05 Å. In the sixth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ni–O bond distances ranging from 1.89–2.05 Å. In the seventh Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There is two shorter (1.91 Å) and four longer (2.05 Å) Ni–O bond length. In the eighth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There is two shorter (1.90 Å) and four longer (2.05 Å) Ni–O bond length. In the ninth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There is two shorter (1.91 Å) and four longer (2.05 Å) Ni–O bond length. In the tenth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There is two shorter (1.90 Å) and four longer (2.05 Å) Ni–O bond length. In the eleventh Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ni–O bond distances ranging from 1.90–2.05 Å. In the twelfth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ni–O bond distances ranging from 1.89–2.05 Å. In the thirteenth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Ni–O bond distances ranging from 1.90–2.05 Å. In the fourteenth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share a cornercorner with one LiO6 octahedra and edges with six NiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ni–O bond distances ranging from 1.88–2.10 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.93+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.93+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+ and three Ni+2.93+ atoms. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 3°. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.93+ atoms. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventeenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the nineteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twentieth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corn

36 MATERIALS SCIENCE↗