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Materials Data on Os5C17O16 by Materials Project

Os5C17O16 crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of four Os5C17O16 clusters. In two of the Os5C17O16 clusters, there are five inequivalent Os2- sites. In the first Os2- site, Os2- is bonded to five C+2.47+ atoms to form corner-sharing OsC5 trigonal bipyramids. There are a spread of Os–C bond distances ranging from 1.93–2.26 Å. In the second Os2- site, Os2- is bonded in a distorted rectangular see-saw-like geometry to four C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.90–2.11 Å. In the third Os2- site, Os2- is bonded in a rectangular see-saw-like geometry to four C+2.47+ atoms. There is three shorter (1.92 Å) and one longer (2.01 Å) Os–C bond length. In the fourth Os2- site, Os2- is bonded to four C+2.47+ atoms to form distorted corner-sharing OsC4 trigonal pyramids. There are a spread of Os–C bond distances ranging from 1.91–2.02 Å. In the fifth Os2- site, Os2- is bonded in a distorted rectangular see-saw-like geometry to four C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.90–2.11 Å. There are seventeen inequivalent C+2.47+ sites. In the first C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the second C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the third C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.15 Å. In the fourth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the fifth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the sixth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.15 Å. In the seventh C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the eighth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the ninth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the tenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the eleventh C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the twelfth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the thirteenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the fourteenth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the fifteenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the sixteenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the seventeenth C+2.47+ site, C+2.47+ is bonded in a trigonal bipyramidal geometry to five Os2- atoms. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the ninth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the twelfth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In two of the Os5C17O16 clusters, there are five inequivalent Os2- sites. In the first Os2- site, Os2- is bonded in a rectangular see-saw-like geometry to four C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.90–2.11 Å. In the second Os2- site, Os2- is bonded in a rectangular see-saw-like geometry to four C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.91–2.00 Å. In the third Os2- site, Os2- is bonded in a rectangular see-saw-like geometry to four C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.90–2.12 Å. In the fourth Os2- site, Os2- is bonded in a trigonal bipyramidal geometry to five C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.93–2.26 Å. In the fifth Os2- site, Os2- is bonded in a distorted rectangular see-saw-like geometry to four C+2.47+ atoms. There are a spread of Os–C bond distances ranging from 1.91–2.01 Å. There are seventeen inequivalent C+2.47+ sites. In the first C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the second C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the third C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the fourth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the fifth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the sixth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the seventh C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the eighth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the ninth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.15 Å. In the tenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the eleventh C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the twelfth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the thirteenth C+2.47+ site, C+2.47+ is bonded in a trigonal bipyramidal geometry to five Os2- atoms. In the fourteenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.15 Å. In the fifteenth C+2.47+ site, C+2.47+ is bonded in a distorted linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.16 Å. In the sixteenth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. In the seventeenth C+2.47+ site, C+2.47+ is bonded in a linear geometry to one Os2- and one O2- atom. The C–O bond length is 1.17 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the ninth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the twelfth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.47+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Er3F17 by Materials Project

Ba4Er3F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.64–3.19 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.62–2.93 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.64–3.17 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–3.19 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–3.16 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–3.17 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.62–2.93 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.64–3.15 Å. There are six inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.24–2.37 Å. In the second Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.25–2.39 Å. In the third Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.24–2.37 Å. In the fourth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Er–F bond distances ranging from 2.24–2.51 Å. In the fifth Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.25–2.43 Å. In the sixth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Er–F bond distances ranging from 2.24–2.64 Å. There are thirty-four inequivalent F1- sites. In the first F1- site, F1- is bonded to six Ba2+ atoms to form a mixture of distorted face and corner-sharing FBa6 octahedra. In the second F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eight FBa3Er tetrahedra, and edges with five FBa3Er tetrahedra. The corner-sharing octahedra tilt angles range from 52–64°. In the third F1- site, F1- is bonded to four Ba2+ atoms to form FBa4 tetrahedra that share corners with eleven FBa2Er2 tetrahedra, edges with four FBa3Er tetrahedra, and a faceface with one FBa6 octahedra. In the fourth F1- site, F1- is bonded to two Ba2+ and two Er3+ atoms to form distorted FBa2Er2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with nine FBa3Er tetrahedra, and edges with three FBa2Er2 tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the fifth F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with two equivalent FBa6 octahedra, corners with nine FBa3Er tetrahedra, and edges with four FBa3Er tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. In the sixth F1- site, F1- is bonded in a 4-coordinate geometry to three Ba2+ and one Er3+ atom. In the seventh F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eight FBa3Er tetrahedra, and edges with five FBa3Er tetrahedra. The corner-sharing octahedra tilt angles range from 52–64°. In the eighth F1- site, F1- is bonded to two Ba2+ and two Er3+ atoms to form distorted FBa2Er2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with nine FBa3Er tetrahedra, and edges with three FBa2Er2 tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the ninth F1- site, F1- is bonded in a 4-coordinate geometry to three Ba2+ and one Er3+ atom. In the tenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Er3+ atoms. In the eleventh F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Er3+ atoms. In the twelfth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Er3+ atoms. In the thirteenth F1- site, F1- is bonded to two Ba2+ and two Er3+ atoms to form distorted FBa2Er2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with nine FBa3Er tetrahedra, and edges with four FBa3Er tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the fourteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Er3+ atoms. In the fifteenth F1- site, F1- is bonded in a 4-coordinate geometry to three Ba2+ and one Er3+ atom. In the sixteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Er3+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Er3+ atoms. In the eighteenth F1- site, F1- is bonded in a distorted water-like geometry to two Er3+ atoms. In the nineteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Er3+ atoms. In the twentieth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Er3+ atoms. In the twenty-first F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with nine FBa2Er2 tetrahedra, edges with five FBa3Er tetrahedra, and a faceface with one FBa6 octahedra. In the twenty-second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Er3+ atoms. In the twenty-third F1- site, F1- is bonded to two Ba2+ and two Er3+ atoms to form distorted FBa2Er2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with eight FBa3Er tetrahedra, and edges with three FBa3Er tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the twenty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Er3+ atoms. In the twenty-fifth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ba2+ and two Er3+ atoms. In the twenty-sixth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Er3+ atoms. In the twenty-seventh F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with ten FBa3Er tetrahedra, edges with four FBa3Er tetrahedra, and a faceface with one FBa6 octahedra. In the twenty-eighth F1- site, F1- is bonded to two Ba2+ and two Er3+ atoms to form distorted FBa2Er2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with eight FBa3Er tetrahedra, and edges with four FBa3Er tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the twenty-ninth F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with two equivalent FBa6 octahedra, corners with nine FBa3Er tetrahedra, and edges with four FBa2Er2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–64°. In the thirtieth F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with ten FBa3Er tetrahedra, edges with four FBa3Er tetrahedra, and a faceface with one FBa6 octahedra. In the thirty-first F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eight FBa4 tetrahedra, and edges with five FBa3Er tetrahedra. The corner-sharing octahedra tilt angles range from 52–64°. In the thirty-second F1- site, F1- is bonded to two Ba2+ and two Er3+ atoms to form distorted FBa2Er2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with eight FBa3Er tetrahedra, and edges with four FBa3Er tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the thirty-third F1- site, F1- is bonded to four Ba2+ atoms to form FBa4 tetrahedra that share corners with ten FBa3Er tetrahedra, edges with five FBa3Er tetrahedra, and a faceface with one FBa6 octahedra. In the thirty-fourth F1- site, F1- is bonded to three Ba2+ and one Er3+ atom to form distorted FBa3Er tetrahedra that share corners with two equivalent FBa6 octahedra, corners with nine FBa3Er tetrahedra, and edges with four FBa2Er2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°.

36 MATERIALS SCIENCE↗

Materials Data on P6(Pb2O5)5 by Materials Project

P6(Pb2O5)5 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are ten inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.59–3.00 Å. In the second Pb2+ site, Pb2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.57–3.02 Å. In the third Pb2+ site, Pb2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.60–3.04 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.60–3.00 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–3.08 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.30–3.10 Å. In the seventh Pb2+ site, Pb2+ is bonded to six O2- atoms to form distorted PbO6 pentagonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Pb–O bond distances ranging from 2.35–2.95 Å. In the eighth Pb2+ site, Pb2+ is bonded to six O2- atoms to form distorted PbO6 pentagonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Pb–O bond distances ranging from 2.31–3.00 Å. In the ninth Pb2+ site, Pb2+ is bonded to six O2- atoms to form distorted PbO6 pentagonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Pb–O bond distances ranging from 2.32–2.98 Å. In the tenth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–3.11 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent PbO6 pentagonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid and an edgeedge with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid and an edgeedge with one PbO6 pentagonal pyramid. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two PbO6 pentagonal pyramids and an edgeedge with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent PbO6 pentagonal pyramids. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent PbO6 pentagonal pyramids. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Pb2+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Pb2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Pb2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba16Tb8Nb5(SnO16)3 by Materials Project

Ba16Tb8Nb5(SnO16)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.98–3.12 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four TbO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.98–3.10 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four TbO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.12 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.15 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.13 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.99–3.11 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.98–3.11 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.00–3.12 Å. There are eight inequivalent Tb+3.38+ sites. In the first Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, corners with five NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are one shorter (2.17 Å) and five longer (2.28 Å) Tb–O bond lengths. In the second Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.26–2.29 Å. In the third Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.20–2.29 Å. In the fourth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with two NbO6 octahedra, corners with four equivalent SnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.23–2.30 Å. In the fifth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with two SnO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.21–2.28 Å. In the sixth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, a cornercorner with one NbO6 octahedra, corners with four equivalent SnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.18–2.29 Å. In the seventh Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, a cornercorner with one SnO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.20–2.28 Å. In the eighth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, a cornercorner with one NbO6 octahedra, corners with four equivalent SnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.19–2.33 Å. There are five inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.02–2.07 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. All Nb–O bond lengths are 2.03 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.01–2.06 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are one shorter (2.02 Å) and five longer (2.03 Å) Nb–O bond lengths. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.00–2.07 Å. There are three inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sn–O bond distances ranging from 2.08–2.10 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sn–O bond distances ranging from 2.06–2.22 Å. In the third Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sn–O bond distances ranging from 2.07–2.22 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Tb+3.38+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Nb5+, and one Sn4+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Sn4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Nb5+, and one Sn4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Tb+3.38+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Co2S3 by Materials Project

Co2S3 is beta indium sulfide structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to four S2- atoms to form corner-sharing CoS4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. All Co–S bond lengths are 2.13 Å. In the second Co3+ site, Co3+ is bonded to four S2- atoms to form corner-sharing CoS4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. All Co–S bond lengths are 2.13 Å. In the third Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.20–2.28 Å. In the fourth Co3+ site, Co3+ is bonded to four S2- atoms to form corner-sharing CoS4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. All Co–S bond lengths are 2.13 Å. In the fifth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.21–2.29 Å. In the sixth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.21–2.28 Å. In the seventh Co3+ site, Co3+ is bonded to four S2- atoms to form corner-sharing CoS4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. All Co–S bond lengths are 2.13 Å. In the eighth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.20–2.27 Å. In the ninth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.20–2.28 Å. In the tenth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.22–2.27 Å. In the eleventh Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are two shorter (2.22 Å) and four longer (2.26 Å) Co–S bond lengths. In the twelfth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are two shorter (2.22 Å) and four longer (2.26 Å) Co–S bond lengths. In the thirteenth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.21–2.29 Å. In the fourteenth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.20–2.29 Å. In the fifteenth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.22–2.26 Å. In the sixteenth Co3+ site, Co3+ is bonded to six S2- atoms to form CoS6 octahedra that share corners with four CoS4 tetrahedra and edges with six CoS6 octahedra. There are a spread of Co–S bond distances ranging from 2.20–2.29 Å. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the third S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to four Co3+ atoms. In the fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the fifth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the eleventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the thirteenth S2- site, S2- is bonded to four Co3+ atoms to form a mixture of distorted edge and corner-sharing SCo4 trigonal pyramids. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the fifteenth S2- site, S2- is bonded to four Co3+ atoms to form a mixture of distorted edge and corner-sharing SCo4 trigonal pyramids. In the sixteenth S2- site, S2- is bonded to four Co3+ atoms to form a mixture of distorted edge and corner-sharing SCo4 trigonal pyramids. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the nineteenth S2- site, S2- is bonded to four Co3+ atoms to form a mixture of distorted edge and corner-sharing SCo4 trigonal pyramids. In the twentieth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the twenty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Co3+ atoms. In the twenty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the twenty-fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Co3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3SmBr6 by Materials Project

Na3SmBr6 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Na–Br bond distances ranging from 2.97–3.15 Å. In the second Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with three NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Na–Br bond distances ranging from 2.98–3.08 Å. In the third Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.15 Å. In the fourth Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with three NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.07 Å. In the fifth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three SmBr6 octahedra, corners with six NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Na–Br bond distances ranging from 3.00–3.14 Å. In the sixth Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.15 Å. In the seventh Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with three NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.07 Å. In the eighth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three SmBr6 octahedra, corners with six NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Na–Br bond distances ranging from 3.00–3.14 Å. In the ninth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Na–Br bond distances ranging from 2.96–3.25 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six Br1- atoms. There are a spread of Na–Br bond distances ranging from 2.89–3.33 Å. In the eleventh Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with two equivalent NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 40–62°. There are a spread of Na–Br bond distances ranging from 2.96–3.11 Å. In the twelfth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three SmBr6 octahedra, corners with six NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Na–Br bond distances ranging from 3.00–3.15 Å. In the thirteenth Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share a cornercorner with one NaBr6 octahedra, corners with six SmBr6 octahedra, and edges with three NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 38–63°. There are a spread of Na–Br bond distances ranging from 2.92–3.08 Å. In the fourteenth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three equivalent NaBr6 octahedra, corners with three SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Na–Br bond distances ranging from 2.95–3.13 Å. In the fifteenth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three equivalent NaBr6 octahedra, corners with three SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Na–Br bond distances ranging from 2.93–3.15 Å. There are five inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with two equivalent NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Sm–Br bond distances ranging from 2.82–2.92 Å. In the second Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Sm–Br bond distances ranging from 2.86–2.90 Å. In the third Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Sm–Br bond distances ranging from 2.86–2.90 Å. In the fourth Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Sm–Br bond distances ranging from 2.86–2.90 Å. In the fifth Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, an edgeedge with one NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of Sm–Br bond distances ranging from 2.85–2.93 Å. There are thirty inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the second Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the third Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the fourth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the fifth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the sixth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the seventh Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted corner-sharing BrNa3Sm trigonal pyramids. In the eighth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the ninth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the tenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the eleventh Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the twelfth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the thirteenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the fourteenth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the fifteenth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the sixteenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the seventeenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted BrNa3Sm trigonal pyramids that share a cornercorner with one BrNa4Sm trigonal bipyramid, corners with four BrNa3Sm trigonal pyramids, and edges with two BrNa3Sm trigonal pyramids. In the eighteenth Br1- site, Br1- is bonded to four Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa4Sm trigonal bipyramids. In the nineteenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the twentieth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-first Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-second Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted BrNa3Sm trigonal pyramids that share corners with three BrNa3Sm trigonal pyramids, edges with two equivalent BrNa4Sm trigonal bipyramids, and an edgeedge with one BrNa3Sm trigonal pyramid. In the twenty-third Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-fourth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to two Na1+ and one Sm3+ atom. In the twenty-fifth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted BrNa3Sm trigonal pyramids that share corners with two equivalent BrNa4Sm trigonal bipyramids, corners with three BrNa3Sm trigonal pyramids, and edges with two BrNa3Sm trigonal pyramids. In the twenty-sixth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-seventh Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-eighth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-ninth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the thirtieth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form BrNa3Sm trigonal pyramids that share a cornercorner with one BrNa4Sm trigonal bipyramid, an edgeedge with one BrNa4Sm trigonal bipyramid, and an edgeedge with one BrNa3Sm trigonal pyramid.

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 Rb11Al14Si10(AgO16)3 by Materials Project

Rb11Al14Si10(AgO16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Rb sites. In the first Rb site, Rb is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Rb–O bond distances ranging from 2.71–3.38 Å. In the second Rb site, Rb is bonded in a 2-coordinate geometry to two Ag and two O atoms. There are one shorter (4.20 Å) and one longer (4.24 Å) Rb–Ag bond lengths. There are one shorter (3.07 Å) and one longer (3.16 Å) Rb–O bond lengths. In the third Rb site, Rb is bonded in a T-shaped geometry to three O atoms. There are a spread of Rb–O bond distances ranging from 3.01–3.30 Å. In the fourth Rb site, Rb is bonded in a 1-coordinate geometry to one Ag and five O atoms. The Rb–Ag bond length is 4.21 Å. There are a spread of Rb–O bond distances ranging from 2.71–3.35 Å. In the fifth Rb site, Rb is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Rb–O bond distances ranging from 2.67–3.21 Å. In the sixth Rb site, Rb is bonded in a 1-coordinate geometry to two Ag and five O atoms. There are one shorter (3.96 Å) and one longer (4.21 Å) Rb–Ag bond lengths. There are a spread of Rb–O bond distances ranging from 2.71–3.27 Å. In the seventh Rb site, Rb is bonded in a 1-coordinate geometry to two Ag and two O atoms. There are one shorter (3.95 Å) and one longer (4.11 Å) Rb–Ag bond lengths. There are one shorter (2.71 Å) and one longer (3.07 Å) Rb–O bond lengths. In the eighth Rb site, Rb is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Rb–O bond distances ranging from 2.70–3.12 Å. In the ninth Rb site, Rb is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Rb–O bond distances ranging from 2.71–3.13 Å. In the tenth Rb site, Rb is bonded in a 2-coordinate geometry to two O atoms. There are one shorter (2.65 Å) and one longer (2.74 Å) Rb–O bond lengths. In the eleventh Rb site, Rb is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Rb–O bond distances ranging from 2.99–3.48 Å. There are three inequivalent Ag sites. In the first Ag site, Ag is bonded in a 3-coordinate geometry to two Rb and one Ag atom. The Ag–Ag bond length is 2.63 Å. In the second Ag site, Ag is bonded in a distorted trigonal pyramidal geometry to three Rb and one Ag atom. The Ag–Ag bond length is 2.63 Å. In the third Ag site, Ag is bonded in a 4-coordinate geometry to two Rb and two Ag atoms. There are fourteen inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.79 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the third Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.77 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.75 Å. In the eighth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.76 Å. In the ninth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.82 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.83 Å. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.83 Å. In the thirteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.81 Å. In the fourteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. There are ten inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Si atoms. In the second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the third O site, O is bonded in a linear geometry to two Si atoms. In the fourth O site, O is bonded in a 2-coordinate geometry to one Rb, one Al, and one Si atom. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Si atoms. In the seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the tenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the eleventh O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twelfth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fifteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Al and one Si atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Al atoms. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the eighteenth O site, O is bonded in a linear geometry to one Al and one Si atom. In the nineteenth O site, O is bonded in a distorted linear geometry to one Rb, one Al, and one Si atom. In the twentieth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Al atoms. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to two Al atoms. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to two Al atoms. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to two Al atoms. In the twenty-fourth O site, O is bonded in a distorted bent 120 degrees geometry to one Rb and two Al atoms. In the twenty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Rb and two Al atoms. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Rb and two Al atoms. In the twenty-seventh O site, O is bonded in a distorted trigonal planar geometry to one Rb and two Al atoms. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Al atoms. In the twenty-ninth O site, O is bonded in a distorted bent 150 degrees geometry to two Rb and two Al atoms. In the thirtieth O site, O is bonded in a distorted bent 150 degrees geometry to two Rb and two Al atoms. In the thirty-first O site, O is bonded in a 2-coordinate geometry to one Rb and two Al atoms. In the thirty-second O site, O is bonded in a distorted linear geometry to one Rb and two Al atoms. In the thirty-third O site, O is bonded in a distorted linear geometry to three Rb and two Al atoms. In the thirty-fourth O site, O is bonded in a linear geometry to one Rb and two Al atoms. In the thirty-fifth O site, O is bonded in a distorted linear geometry to three Rb and two Al atoms. In the thirty-sixth O site, O is bonded in a distorted bent 120 degrees geometry to two Al atoms. In the thirty-seventh O site, O is bonded in a 2-coordinate geometry to one Rb and two Al atoms. In the thirty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the thirty-ninth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the fortieth O site, O is bonded in a 2-coordinate geometry to two Rb, one Al, and one Si atom. In the forty-first O site, O is bonded in a 2-coordinate geometry to two Rb, one Al, and one Si atom. In the forty-second O site, O is bonded in a distorted bent 150 degrees geometry to two Rb, one Al, and one Si atom. In the forty-third O site, O is bonded in a distorted bent 150

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn5O12 by Materials Project

Li4Mn5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.94–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.94–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is two shorter (1.93 Å) and two longer (1.99 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.11 Å. There are ten inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.03 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.02 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.02 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.02 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with three OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn2 trigonal pyramid. In the fifth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with five OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with seven OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with five OLiMn3 tetrahedra, corners with four OLi2Mn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the tenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with five OLiMn3 tetrahedra, corners with four OLi2Mn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with four OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn2 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with seven OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and an edgeedge with one OLi2Mn2 trigonal pyramid. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on K2Na5Al7Si5O24 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Sr16Fe16O41 by Materials Project

Sr16Fe16O41 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Sr sites. In the first Sr site, Sr is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.96 Å. In the second Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.78–2.82 Å. In the third Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.77–2.84 Å. In the fourth Sr site, Sr is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.64–2.95 Å. In the fifth Sr site, Sr is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.65–2.96 Å. In the sixth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.76–2.85 Å. In the seventh Sr site, Sr is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.96 Å. In the eighth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.80–2.82 Å. In the ninth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.76–2.84 Å. There are eight inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with three equivalent FeO6 octahedra and corners with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Fe–O bond distances ranging from 1.85–2.01 Å. In the second Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.83–2.01 Å. In the third Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.01 Å. In the fourth Fe site, Fe is bonded to six O atoms to form corner-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the fifth Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with three equivalent FeO6 octahedra and corners with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Fe–O bond distances ranging from 1.85–2.02 Å. In the sixth Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.01 Å. In the seventh Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.83–2.01 Å. In the eighth Fe site, Fe is bonded to five O atoms to form corner-sharing FeO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.00 Å. There are twenty-three inequivalent O sites. In the first O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the second O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the third O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the fourth O site, O is bonded in a distorted linear geometry to four Sr and two Fe atoms. In the fifth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the sixth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the seventh O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the eighth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 4–65°. In the ninth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the tenth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the eleventh O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 4–65°. In the twelfth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the thirteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the fourteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 2–64°. In the fifteenth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the sixteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the seventeenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the eighteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the nineteenth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twentieth O site, O is bonded in a distorted linear geometry to four Sr and two Fe atoms. In the twenty-first O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the twenty-second O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twenty-third O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr5Al10(Si7O24)2 by Materials Project

Sr5Al10(Si7O24)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.91 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–3.20 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.42–3.19 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.37–2.86 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.18 Å. There are ten inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There is one shorter (1.76 Å) and three longer (1.77 Å) Al–O bond length. 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 corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.83 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.81 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.81 Å. There are fourteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.66 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 four AlO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Sr2+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Sr2+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Sr2+ and two Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Sr2+ and two Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+ and two Si4+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Si4+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sr2+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Si4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Sr2+ and two Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+, one Al3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sr2+ and two Al3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Al3+, and one Si4+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Al3+ atoms. In the forty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the forty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sr2+, one Al3+, and one Si4+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+ and two Si4+ atoms. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the forty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on V3HPb5O13 by Materials Project

Pb5(VO4)3OH crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.74–1.76 Å. In the second V5+ site, V5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.74–1.76 Å. In the third V5+ site, V5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.74–1.76 Å. There are eight inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.59–3.03 Å. In the second Pb2+ site, Pb2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.53–3.14 Å. In the third Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.11 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.11 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.11 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.11 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.11 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.11 Å. There are two inequivalent H1+ sites. In the first 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 second 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 twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 2.53 Å. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 2.53 Å. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 2.53 Å. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.75 Å. The O–Pb bond length is 2.59 Å. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.75 Å. The O–Pb bond length is 2.60 Å. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.75 Å. The O–Pb bond length is 2.60 Å. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 2.73 Å. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 2.73 Å. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 2.73 Å. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.76 Å. The O–Pb bond length is 2.72 Å. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.76 Å. The O–Pb bond length is 2.72 Å. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.76 Å. The O–Pb bond length is 2.72 Å. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.74 Å. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.74 Å. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.74 Å. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.74 Å. The O–Pb bond length is 3.14 Å. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.75 Å. The O–Pb bond length is 3.13 Å. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–V bond length is 1.75 Å. The O–Pb bond length is 3.14 Å. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 3.03 Å. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 3.03 Å. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one V5+ and three Pb2+ atoms. The O–Pb bond length is 3.03 Å. In the twenty-fifth O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on La5Ta22O62 by Materials Project

La5Ta22O62 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent La sites. In the first La site, La is bonded in a 6-coordinate geometry to six O atoms. There are two shorter (2.52 Å) and four longer (2.71 Å) La–O bond lengths. In the second La site, La is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of La–O bond distances ranging from 2.58–2.78 Å. In the third La site, La is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of La–O bond distances ranging from 2.55–2.79 Å. In the fourth La site, La is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of La–O bond distances ranging from 2.56–3.25 Å. In the fifth La site, La is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of La–O bond distances ranging from 2.55–3.26 Å. There are nine inequivalent Ta sites. In the first Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 9–49°. There are a spread of Ta–O bond distances ranging from 1.91–2.09 Å. In the second Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 8–41°. There are a spread of Ta–O bond distances ranging from 1.92–2.08 Å. In the third Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 8–41°. There are a spread of Ta–O bond distances ranging from 1.92–2.07 Å. In the fourth Ta site, Ta is bonded to seven O atoms to form TaO7 pentagonal bipyramids that share corners with two equivalent TaO7 pentagonal bipyramids and edges with four TaO6 octahedra. There are a spread of Ta–O bond distances ranging from 1.96–2.14 Å. In the fifth Ta site, Ta is bonded to seven O atoms to form TaO7 pentagonal bipyramids that share corners with two equivalent TaO7 pentagonal bipyramids and edges with four TaO6 octahedra. There are a spread of Ta–O bond distances ranging from 1.96–2.14 Å. In the sixth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 3–33°. There are a spread of Ta–O bond distances ranging from 1.92–2.08 Å. In the seventh Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 16–58°. There are a spread of Ta–O bond distances ranging from 1.93–2.13 Å. In the eighth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 16–58°. There are a spread of Ta–O bond distances ranging from 1.93–2.13 Å. In the ninth Ta site, Ta is bonded to six O atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–41°. There are a spread of Ta–O bond distances ranging from 1.94–2.08 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a distorted bent 150 degrees geometry to one La and two Ta atoms. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one La and two Ta atoms. The O–Ta bond length is 1.99 Å. In the third O site, O is bonded in a bent 150 degrees geometry to two Ta atoms. The O–Ta bond length is 1.92 Å. In the fourth O site, O is bonded in a bent 150 degrees geometry to two Ta atoms. The O–Ta bond length is 1.91 Å. In the fifth O site, O is bonded in a trigonal non-coplanar geometry to one La and two equivalent Ta atoms. In the sixth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the seventh O site, O is bonded in a linear geometry to two equivalent Ta atoms. Both O–Ta bond lengths are 1.98 Å. In the eighth O site, O is bonded in a linear geometry to two equivalent Ta atoms. Both O–Ta bond lengths are 1.94 Å. In the ninth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the tenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. The O–Ta bond length is 2.09 Å. In the twelfth O site, O is bonded in a linear geometry to one La and two equivalent Ta atoms. In the thirteenth O site, O is bonded in a linear geometry to one La and two equivalent Ta atoms. In the fourteenth O site, O is bonded in a linear geometry to one La and two equivalent Ta atoms. In the fifteenth O site, O is bonded in a linear geometry to one La and two equivalent Ta atoms. In the sixteenth O site, O is bonded to two La and two Ta atoms to form a mixture of distorted edge and corner-sharing OLa2Ta2 tetrahedra. In the seventeenth O site, O is bonded to two La and two Ta atoms to form a mixture of distorted edge and corner-sharing OLa2Ta2 tetrahedra. The O–Ta bond length is 2.02 Å. In the eighteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. The O–Ta bond length is 2.08 Å. In the nineteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the twentieth O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the twenty-first O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the twenty-second O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the twenty-third O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the twenty-fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two La and two Ta atoms. In the twenty-fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to two La and two Ta atoms. In the twenty-sixth O site, O is bonded in a linear geometry to two equivalent Ta atoms. Both O–Ta bond lengths are 1.96 Å. In the twenty-seventh O site, O is bonded in a linear geometry to two equivalent Ta atoms. Both O–Ta bond lengths are 1.95 Å. In the twenty-eighth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the twenty-ninth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the thirtieth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. The O–Ta bond length is 2.05 Å. In the thirty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the thirty-second O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the thirty-third O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the thirty-fourth O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the thirty-fifth O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms. In the thirty-sixth O site, O is bonded to two La and two Ta atoms to form corner-sharing OLa2Ta2 tetrahedra. In the thirty-seventh O site, O is bonded in a bent 150 degrees geometry to two Ta atoms. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to two Ta atoms. In the thirty-ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two La and two Ta atoms. In the fortieth O site, O is bonded in a distorted rectangular see-saw-like geometry to two La and two Ta atoms. In the forty-first O site, O is bonded in a distorted T-shaped geometry to one La and two equivalent Ta atoms. In the forty-second O site, O is bonded in a distorted linear geometry to one La and two equivalent Ta atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiCu3(CO3)3 by Materials Project

LiCu3(CO3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.23 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.25 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. There are nine inequivalent Cu+1.67+ sites. In the first Cu+1.67+ site, Cu+1.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–2.40 Å. In the second Cu+1.67+ site, Cu+1.67+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.59 Å. In the third Cu+1.67+ site, Cu+1.67+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.55 Å. In the fourth Cu+1.67+ site, Cu+1.67+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.17 Å. In the fifth Cu+1.67+ site, Cu+1.67+ is bonded to four O2- atoms to form corner-sharing CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.21 Å. In the sixth Cu+1.67+ site, Cu+1.67+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with two equivalent LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.94–2.23 Å. In the seventh Cu+1.67+ site, Cu+1.67+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.19 Å. In the eighth Cu+1.67+ site, Cu+1.67+ is bonded to four O2- atoms to form distorted corner-sharing CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.94–2.13 Å. In the ninth Cu+1.67+ site, Cu+1.67+ is bonded to four O2- atoms to form corner-sharing CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.89–2.26 Å. There are nine inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.28 Å) and one longer (1.32 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.33 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.33 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.33 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.28 Å) and one longer (1.32 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.28 Å) and one longer (1.32 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.32 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to two Cu+1.67+ and one C4+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu+1.67+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu+1.67+ and one C4+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Cu+1.67+ and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu+1.67+, and one C4+ atom. In the eighth O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one C4+ atom to form distorted OLi2CuC tetrahedra that share corners with six OLiCu2C tetrahedra and an edgeedge with one OLi2CuC tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one C4+ atom to form distorted OLi2CuC tetrahedra that share corners with six OLiCu2C tetrahedra and an edgeedge with one OLi2CuC tetrahedra. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Cu+1.67+ and one C4+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu+1.67+ and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu+1.67+ and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Cu+1.67+ and one C4+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu+1.67+, and one C4+ atom to form distorted corner-sharing OLiCu2C tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu+1.67+ and one C4+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one C4+ atom to form distorted OLi2CuC tetrahedra that share corners with six OLiCu2C tetrahedra and an edgeedge with one OLi2CuC tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted water-like geometry to one Cu+1.67+ and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one C4+ atom to form distorted OLi2CuC tetrahedra that share corners with six OLiCu2C tetrahedra and an edgeedge with one OLi2CuC tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu+1.67+ and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu+1.67+ and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two equivalent Cu+1.67+, and one C4+ atom to form distorted corner-sharing OLiCu2C tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Ti13O30 by Materials Project

Mg5Ti13O30 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are five inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–48°. There are a spread of Mg–O bond distances ranging from 2.01–2.19 Å. In the second Mg2+ site, Mg2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the third Mg2+ site, Mg2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mg–O bond distances ranging from 2.04–2.21 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Mg–O bond distances ranging from 2.01–2.19 Å. In the fifth Mg2+ site, Mg2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.20 Å. There are seven inequivalent Ti+3.85+ sites. In the first Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the second Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.19 Å. In the third Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–50°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the fourth Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–50°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the fifth Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Ti–O bond distances ranging from 1.83–2.18 Å. In the sixth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.14 Å. In the seventh Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.85+ atoms. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to two Mg2+ and two equivalent Ti+3.85+ atoms to form distorted OMg2Ti2 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Mg2+ and two equivalent Ti+3.85+ atoms to form distorted OMg2Ti2 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Mg2+ and two equivalent Ti+3.85+ atoms to form a mixture of distorted corner and edge-sharing OMg2Ti2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Ti+3.85+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Ti+3.85+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mg2+ and two Ti+3.85+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.85+ atoms. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Ti+3.85+ atoms to form distorted OMg2Ti2 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.85+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.85+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mg2+ and two Ti+3.85+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–O bond distances ranging from 1.91–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.91–2.33 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Mn–O bond distances ranging from 1.91–2.30 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–O bond distances ranging from 1.95–2.21 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.92–2.25 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 pentagonal pyramids that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Co–O bond distances ranging from 1.91–2.33 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Co–O bond distances ranging from 1.87–2.12 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.92–2.27 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fifth 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 MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the ninth 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 FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mn2+, one Fe3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bo

36 MATERIALS SCIENCE↗

Materials Data on Zr32N17O39 by Materials Project

Zr32N17O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Zr sites. In the first Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are two shorter (2.19 Å) and one longer (2.26 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.29 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to one N and seven O atoms. The Zr–N bond length is 2.20 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.35 Å. In the third Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN2O5 pentagonal bipyramids and edges with six ZrN3O4 pentagonal bipyramids. There are two shorter (2.15 Å) and two longer (2.17 Å) Zr–N bond lengths. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.32 Å. In the fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.24 Å. In the sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the seventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.25 Å. In the ninth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the tenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the eleventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.20 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twelfth Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–N bond distances ranging from 2.18–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the thirteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fourteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the fifteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the sixteenth Zr site, Zr is bonded to four N and two O atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. There are a spread of Zr–N bond distances ranging from 2.13–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventeenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.20 Å) and four longer (2.30 Å) Zr–O bond lengths. In the eighteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.30 Å. In the nineteenth Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O4 pentagonal bipyramids and edges with six ZrN2O5 pentagonal bipyramids. There are a spread of Zr–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the twentieth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-first Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.15 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.19–2.26 Å. In the twenty-second Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.31 Å. In the twenty-third Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twenty-fourth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the twenty-fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the twenty-sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-seventh Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Zr–N bond distances ranging from 2.19–2.26 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the twenty-eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. Th

36 MATERIALS SCIENCE↗