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Materials Data on Nd19Ti20O60 by Materials Project

Nd19Ti20O60 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Nd sites. In the first Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.76 Å. In the second Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.75 Å. In the third Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the fourth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.70 Å. In the fifth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.74 Å. In the sixth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.78 Å. In the seventh Nd site, Nd is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.74 Å. In the eighth Nd site, Nd is bonded in a 9-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.45–2.76 Å. In the ninth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.74 Å. In the tenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.73 Å. In the eleventh Nd site, Nd is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.91 Å. In the twelfth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.72 Å. In the thirteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.72 Å. In the fourteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.75 Å. In the fifteenth Nd site, Nd is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Nd–O bond distances ranging from 2.37–3.21 Å. In the sixteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the seventeenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the eighteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.72 Å. In the nineteenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.73 Å. There are twenty inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the second Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–32°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the third Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–30°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. In the fourth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the fifth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–30°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the sixth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–31°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the seventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–31°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the eighth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–29°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the ninth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Ti–O bond distances ranging from 2.00–2.04 Å. In the tenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–31°. There are a spread of Ti–O bond distances ranging from 1.95–2.09 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are three shorter (2.02 Å) and three longer (2.03 Å) Ti–O bond lengths. In the fourteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–31°. There are a spread of Ti–O bond distances ranging from 1.95–2.08 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of Ti–O bond distances ranging from 2.01–2.06 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. In the twentieth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. There are sixty inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the second O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the third O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the sixth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the seventh O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the tenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the eleventh O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirteenth O site, O is bonded in a distorted T-shaped geometry to two Nd and two Ti atoms. In the fourteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the sixteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the seventeenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the nineteenth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Nd and two Ti atoms. In the twenty-second O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-third O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-fourth O site, O is bonded to two Nd and two Ti atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the twenty-fifth O site, O is bonded in a 4-coordinate geometry to three Nd and two Ti atoms. In the twenty-sixth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-seventh O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the twenty-eighth O site, O is bonded to two Nd and two Ti atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the twenty-ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirtieth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-first O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-second O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-third O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-sixth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-seventh O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the thirty-eighth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the thirty-ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the fortieth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the forty-first O site, O is bonded to two Nd and two Ti atoms to form distorted corner-sharing ONd2Ti2 trigonal pyramids. In the forty-second O site, O is bonded in a 3-coordinate geometry to two Nd and two Ti atoms. In the forty-third O site, O is bonded to two Nd and two Ti atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the forty-fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the forty-fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Ti atoms. In the forty-sixth O site, O is bonded in a 4-coordinate geometry to two Nd and two Ti atoms. In the forty-seventh O si

36 MATERIALS SCIENCE↗

Materials Data on Ti14O7F60 by Materials Project

Ti7F30Ti7(OF10)3(O2)2 crystallizes in the triclinic P1 space group. The structure is one-dimensional and consists of four water molecules; one Ti7(OF10)3 ribbon oriented in the (1, 0, 0) direction; and one Ti7F30 ribbon oriented in the (1, 0, 0) direction. In the Ti7(OF10)3 ribbon, there are seven inequivalent Ti sites. In the first Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ti–F bond distances ranging from 1.75–2.24 Å. In the second Ti site, Ti is bonded in a 6-coordinate geometry to six F atoms. There are a spread of Ti–F bond distances ranging from 1.76–2.39 Å. In the third Ti site, Ti is bonded in a 6-coordinate geometry to six F atoms. There are a spread of Ti–F bond distances ranging from 1.75–2.33 Å. In the fourth Ti site, Ti is bonded to six F atoms to form corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Ti–F bond distances ranging from 1.83–2.03 Å. In the fifth Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Ti–F bond distances ranging from 1.75–2.23 Å. In the sixth Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–F bond distances ranging from 1.75–2.18 Å. In the seventh Ti site, Ti is bonded in a 6-coordinate geometry to six F atoms. There are a spread of Ti–F bond distances ranging from 1.75–2.39 Å. There are three inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one F atom. The O–F bond length is 1.43 Å. In the second O site, O is bonded in a single-bond geometry to one F atom. The O–F bond length is 1.42 Å. In the third O site, O is bonded in a single-bond geometry to one F atom. The O–F bond length is 1.43 Å. There are thirty inequivalent F sites. In the first F site, F is bonded in a linear geometry to two Ti atoms. In the second F site, F is bonded in a linear geometry to two Ti atoms. In the third F site, F is bonded in a single-bond geometry to one Ti atom. In the fourth F site, F is bonded in a single-bond geometry to one Ti atom. In the fifth F site, F is bonded in a water-like geometry to one Ti and one O atom. In the sixth F site, F is bonded in a single-bond geometry to one Ti atom. In the seventh F site, F is bonded in a single-bond geometry to one Ti atom. In the eighth F site, F is bonded in a single-bond geometry to one Ti atom. In the ninth F site, F is bonded in a single-bond geometry to one Ti atom. In the tenth F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the eleventh F site, F is bonded in a distorted linear geometry to two Ti atoms. In the twelfth F site, F is bonded in a single-bond geometry to one Ti atom. In the thirteenth F site, F is bonded in a distorted bent 150 degrees geometry to two Ti atoms. In the fourteenth F site, F is bonded in a distorted linear geometry to two Ti atoms. In the fifteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the sixteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the seventeenth F site, F is bonded in a linear geometry to two Ti atoms. In the eighteenth F site, F is bonded in a linear geometry to two Ti atoms. In the nineteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the twentieth F site, F is bonded in a linear geometry to two Ti atoms. In the twenty-first F site, F is bonded in a linear geometry to two Ti atoms. In the twenty-second F site, F is bonded in a bent 120 degrees geometry to one Ti and one O atom. In the twenty-third F site, F is bonded in a water-like geometry to one Ti and one O atom. In the twenty-fourth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-fifth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-sixth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-seventh F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-eighth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-ninth F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the thirtieth F site, F is bonded in a distorted linear geometry to two Ti atoms. In the Ti7F30 ribbon, there are seven inequivalent Ti sites. In the first Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 3–19°. There are a spread of Ti–F bond distances ranging from 1.78–2.18 Å. In the second Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 3–22°. There are a spread of Ti–F bond distances ranging from 1.78–2.22 Å. In the third Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 1–22°. There are a spread of Ti–F bond distances ranging from 1.77–2.25 Å. In the fourth Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 4–21°. There are a spread of Ti–F bond distances ranging from 1.77–2.23 Å. In the fifth Ti site, Ti is bonded to six F atoms to form distorted corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Ti–F bond distances ranging from 1.77–2.17 Å. In the sixth Ti site, Ti is bonded to six F atoms to form corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of Ti–F bond distances ranging from 1.78–2.18 Å. In the seventh Ti site, Ti is bonded to six F atoms to form corner-sharing TiF6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Ti–F bond distances ranging from 1.87–1.95 Å. There are thirty inequivalent F sites. In the first F site, F is bonded in a single-bond geometry to one Ti atom. In the second F site, F is bonded in a linear geometry to two Ti atoms. In the third F site, F is bonded in a single-bond geometry to one Ti atom. In the fourth F site, F is bonded in a linear geometry to two Ti atoms. In the fifth F site, F is bonded in a single-bond geometry to one Ti atom. In the sixth F site, F is bonded in a linear geometry to two Ti atoms. In the seventh F site, F is bonded in a linear geometry to two Ti atoms. In the eighth F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the ninth F site, F is bonded in a single-bond geometry to one Ti atom. In the tenth F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the eleventh F site, F is bonded in a single-bond geometry to one Ti atom. In the twelfth F site, F is bonded in a single-bond geometry to one Ti atom. In the thirteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the fourteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the fifteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the sixteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the seventeenth F site, F is bonded in a single-bond geometry to one Ti atom. In the eighteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the nineteenth F site, F is bonded in a single-bond geometry to one Ti atom. In the twentieth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-first F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the twenty-second F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-third F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the twenty-fourth F site, F is bonded in a linear geometry to two Ti atoms. In the twenty-fifth F site, F is bonded in a linear geometry to two Ti atoms. In the twenty-sixth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-seventh F site, F is bonded in a linear geometry to two Ti atoms. In the twenty-eighth F site, F is bonded in a single-bond geometry to one Ti atom. In the twenty-ninth F site, F is bonded in a bent 150 degrees geometry to two Ti atoms. In the thirtieth F site, F is bonded in a single-bond geometry to one Ti atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti27CuP16 by Materials Project

Ti27CuP16 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-seven inequivalent Ti sites. In the first Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.48–2.54 Å. In the second Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.47–2.53 Å. In the third Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.43–2.57 Å. In the fourth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.48–2.53 Å. In the fifth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.53–2.75 Å. In the sixth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are four shorter (2.53 Å) and one longer (2.81 Å) Ti–P bond lengths. In the seventh Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.53–2.80 Å. In the eighth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.50–2.79 Å. In the ninth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.56–2.69 Å. In the tenth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.54–2.72 Å. In the eleventh Ti site, Ti is bonded in a 7-coordinate geometry to two equivalent Cu and five P atoms. Both Ti–Cu bond lengths are 2.85 Å. There are four shorter (2.54 Å) and one longer (2.72 Å) Ti–P bond lengths. In the twelfth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.54–2.71 Å. In the thirteenth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.41–2.57 Å. In the fourteenth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.42–2.55 Å. In the fifteenth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.46–2.53 Å. In the sixteenth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.40–2.55 Å. In the seventeenth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.44–2.65 Å. In the eighteenth Ti site, Ti is bonded in a distorted square co-planar geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.43–2.64 Å. In the nineteenth Ti site, Ti is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.52–3.03 Å. In the twentieth Ti site, Ti is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.52–3.01 Å. In the twenty-first Ti site, Ti is bonded in a 7-coordinate geometry to two equivalent Cu and five P atoms. Both Ti–Cu bond lengths are 2.83 Å. There are a spread of Ti–P bond distances ranging from 2.57–2.86 Å. In the twenty-second Ti site, Ti is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.52–3.01 Å. In the twenty-third Ti site, Ti is bonded in a distorted square co-planar geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.48–2.64 Å. In the twenty-fourth Ti site, Ti is bonded in a distorted square co-planar geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.48–2.60 Å. In the twenty-fifth Ti site, Ti is bonded in a 4-coordinate geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.44–2.64 Å. In the twenty-sixth Ti site, Ti is bonded in a 4-coordinate geometry to four P atoms. There are three shorter (2.45 Å) and one longer (2.65 Å) Ti–P bond lengths. In the twenty-seventh Ti site, Ti is bonded in a 4-coordinate geometry to four P atoms. There are three shorter (2.45 Å) and one longer (2.65 Å) Ti–P bond lengths. Cu is bonded in a 12-coordinate geometry to four Ti and four P atoms. There are a spread of Cu–P bond distances ranging from 2.32–2.87 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded in a 8-coordinate geometry to seven Ti and one Cu atom. In the second P site, P is bonded in a 8-coordinate geometry to eight Ti atoms. In the third P site, P is bonded in a 8-coordinate geometry to eight Ti atoms. In the fourth P site, P is bonded in a 8-coordinate geometry to eight Ti atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to eight Ti and one Cu atom. In the sixth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the seventh P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the eighth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the ninth P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the tenth P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the eleventh P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the twelfth P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the thirteenth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the fourteenth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to seven Ti and two equivalent Cu atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na13Ti24O54 by Materials Project

Na13Ti24O54 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na sites. In the first Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.46–2.83 Å. In the second Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.83 Å. In the third Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.87 Å. In the fourth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.50 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.62 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.26–2.77 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.33–2.62 Å. In the eighth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.31–2.63 Å. In the ninth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.86 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.46–2.49 Å. In the eleventh Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.88 Å. In the twelfth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.39–2.82 Å. In the thirteenth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.83 Å. There are twenty-four inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Ti–O bond distances ranging from 1.85–2.25 Å. In the second Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the third Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the fourth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the fifth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the sixth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the seventh Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the eighth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. In the ninth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the tenth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.89–2.14 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the twentieth Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the twenty-first Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the twenty-second Ti site, Ti is bonded to six O atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Ti–O bond distances ranging from 1.86–2.28 Å. In the twenty-third Ti site, Ti is bonded to six O atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of Ti–O bond distances ranging from 1.88–2.15 Å. In the twenty-fourth Ti site, Ti is bonded to six O atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Ti–O bond distances ranging from 1.85–2.27 Å. There are fifty-four inequivalent O sites. In the first O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share corners with two ONa2Ti3 square pyramids, corners with three ONaTi3 trigonal pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the second O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share corners with two ONa2Ti3 square pyramids, corners with two ONaTi3 trigonal pyramids, edges with two ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the third O site, O is bonded in a 5-coordinate geometry to two Na and three Ti atoms. In the fourth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share corners with three ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the fifth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with four ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the sixth O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 square pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with three ONaTi3 trigonal pyramids, and edges with three ONaTi3 trigonal pyramids. In the seventh O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the ninth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the tenth O site, O is bonded in a 3-coordinate geometry to one Na and three Ti atoms. In the eleventh O site, O is bonded in a 4-coordinate geometry to two Na and three Ti atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to one Na and three Ti atoms. In the thirteenth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONa2Ti3 trigonal bipyramid, corners with two ONaTi3 trigonal pyramids, edges with two ONa2Ti3 trigonal bipyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the fourteenth O site, O is bonded in a 5-coordinate geometry to two Na and three Ti atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to three Ti atoms. In the sixteenth O site, O is bonded in a 5-coordinate geometry to two Na and three Ti atoms. In the seventeenth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONaTi3 trigonal pyramid, edges with two ONa2Ti3 square pyramids, and edges with two ONaTi3 trigonal pyramids. In the eighteenth O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 square pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONaTi3 trigonal pyramid, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the nineteenth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the twentieth O site, O is bonded in a distorted water-like geometry to one Na and two Ti atoms. In the twenty-first O site, O is bonded in a distorted trigonal planar geometry to one Na and two Ti atoms. In the twenty-second O site, O is bonded in a 5-coordinate geometry to three Na and two Ti atoms. In the twenty-third O site, O is bonded in a 6-coordinate geometry to four Na and two Ti atoms. In the twenty-fourth O site, O is bonded in a 5-coordinate geometry to three Na and two Ti atoms. In the twenty-fifth O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 trigonal bipyramids that share a cornercorner with one ONaTi3 trigonal pyramid, edges with four ONa2Ti3 trigonal bipyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the twenty-sixth O site, O is bonded to two Na and three Ti atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramid

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–54°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. The Ti–N bond length is 1.97 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.03 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.94 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.92 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.19 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.18 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the second N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the third N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fourth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the nineteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–51°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–51°. The Ti–N bond length is 2.15 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.01 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–55°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.19 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.19 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–51°. The Ti–N bond length is 2.15 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–51°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.18 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.03 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.00 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.96–2.17 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–53°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–53°. The Ti–N bond length is 2.00 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the second N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–55°. The Ti–N bond length is 2.02 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.19 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.01 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.91–2.18 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–50°. The Ti–N bond length is 1.96 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–50°. The Ti–N bond length is 2.16 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.19 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.92 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–53°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.03 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.19 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.14 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.18 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.01 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.93–2.19 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–54°. The Ti–N bond length is 2.02 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.93–2.19 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.84–2.18 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.18 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.18 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.92 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.16 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. The Ti–N bond length is 2.02 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.04 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–51°. The Ti–N bond length is 1.97 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.01 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.89 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.21 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–51°. The Ti–N bond length is 2.14 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.18 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–53°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.03 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.18 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.19 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–53°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.00 Å) and one longer (2.07 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.93–2.19 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.94–2.19 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–54°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–50°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.19 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.95–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.97 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.04 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.21 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.18 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are two shorter (1.95 Å) and two longer (2.18 Å) Ti–O bond lengths. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.20 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.89 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.20 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.12 Å. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.00 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the third N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fourth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, a cornercorner with one OTi4 trigonal pyramid, and edges with four OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the nineteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca9LaTi10O30 by Materials Project

Ca9LaTi10O30 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.79 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.76 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.77 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.77 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.78 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.77 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.77 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.76 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.78 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.80 Å. In the eleventh Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.78 Å. In the twelfth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.78 Å. In the thirteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.77 Å. In the fourteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.78 Å. In the fifteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.76 Å. In the sixteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.76 Å. In the seventeenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.78 Å. In the eighteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.77 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.75 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.75 Å. There are twenty inequivalent Ti+3.90+ sites. In the first Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–28°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the second Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the third Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the fourth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fifth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the sixth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–27°. There is five shorter (1.98 Å) and one longer (1.99 Å) Ti–O bond length. In the seventh Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the eighth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the ninth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the tenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the eleventh Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–27°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the twelfth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the thirteenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–27°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fourteenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the fifteenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the sixteenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the seventeenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the eighteenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the nineteenth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the twentieth Ti+3.90+ site, Ti+3.90+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ti–O bond distances ranging from 1.97–2.01 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one La3+, and two Ti+3.90+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one La3+, and two Ti+3.90+ atoms. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one La3+, and two Ti+3.90+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one La3+, and two Ti+3.90+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one La3+, and two Ti+3.90+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ti+3.90+ atoms. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Ti+3.90+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one La3+, and two Ti+3.90+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one La3+, and two Ti+3.90+ atoms. In the thirty-

36 MATERIALS SCIENCE↗

Materials Data on Nd9Ti10O30 by Materials Project

Nd9Ti10O30 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Nd+2.89+ sites. In the first Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.81 Å. In the second Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.84 Å. In the third Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.75 Å. In the fourth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.77 Å. In the fifth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.75 Å. In the sixth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.71 Å. In the seventh Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.77 Å. In the eighth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.76 Å. In the ninth Nd+2.89+ site, Nd+2.89+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.96 Å. In the tenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.78 Å. In the eleventh Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.74 Å. In the twelfth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.79 Å. In the thirteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.83 Å. In the fourteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–3.06 Å. In the fifteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.77 Å. In the sixteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.77 Å. In the seventeenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.68 Å. In the eighteenth Nd+2.89+ site, Nd+2.89+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.74 Å. There are twenty inequivalent Ti+3.40+ sites. In the first Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–31°. There are a spread of Ti–O bond distances ranging from 1.97–2.07 Å. In the second Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the third Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–32°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the fourth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–32°. There are a spread of Ti–O bond distances ranging from 1.94–2.08 Å. In the fifth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.93–2.08 Å. In the sixth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–30°. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the seventh Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–29°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the eighth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the ninth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–30°. There are a spread of Ti–O bond distances ranging from 1.94–2.08 Å. In the tenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the eleventh Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–30°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the twelfth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the thirteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.94–2.07 Å. In the fourteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Ti–O bond distances ranging from 2.00–2.02 Å. In the fifteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–30°. There are a spread of Ti–O bond distances ranging from 2.01–2.03 Å. In the sixteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–30°. There are a spread of Ti–O bond distances ranging from 1.97–2.07 Å. In the seventeenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–32°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the eighteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–32°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the nineteenth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–31°. There are a spread of Ti–O bond distances ranging from 1.93–2.08 Å. In the twentieth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–30°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the second O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the sixth O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the eighteenth O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form a mixture of distorted corner and edge-sharing ONd2Ti2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-second O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted edge-sharing ONd2Ti2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-first O2- site, O2- is bonded to two Nd+2.89+ and two Ti+3.40+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.89+ and two Ti+3.40+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd+2.89+ and tw

36 MATERIALS SCIENCE↗

Materials Data on Ti9S10 by Materials Project

Ti9S10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Ti+2.22+ sites. In the first Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.52 Å. In the second Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 9–47°. There are a spread of Ti–S bond distances ranging from 2.37–2.63 Å. In the third Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.50 Å. In the fourth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the fifth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.51 Å. In the sixth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–S bond distances ranging from 2.47–2.52 Å. In the seventh Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–47°. There are a spread of Ti–S bond distances ranging from 2.36–2.65 Å. In the eighth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.40–2.54 Å. In the ninth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.46–2.53 Å. In the tenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.50 Å. In the eleventh Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.64 Å. In the twelfth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–48°. There are a spread of Ti–S bond distances ranging from 2.38–2.55 Å. In the thirteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.52 Å. In the fourteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–S bond distances ranging from 2.48–2.51 Å. In the fifteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–47°. There are a spread of Ti–S bond distances ranging from 2.37–2.57 Å. In the sixteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.36–2.57 Å. In the seventeenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–48°. There are a spread of Ti–S bond distances ranging from 2.39–2.64 Å. In the eighteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–46°. There are a spread of Ti–S bond distances ranging from 2.38–2.55 Å. In the nineteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–S bond distances ranging from 2.46–2.52 Å. In the twentieth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 10–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.61 Å. In the twenty-first Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the twenty-second Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the twenty-third Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.56 Å. In the twenty-fourth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the twenty-fifth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–S bond distances ranging from 2.48–2.50 Å. In the twenty-sixth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 11–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.61 Å. In the twenty-seventh Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.37–2.64 Å. There are thirty inequivalent S2- sites. In the first S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with three STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with four STi5 trigonal bipyramids, edges with three STi6 pentagonal pyramids, edges with four STi5 square pyramids, and an edgeedge with one STi5 trigonal bipyramid. In the second S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share corners with three STi6 pentagonal pyramids, corners with four STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with five STi6 pentagonal pyramids, an edgeedge with one STi5 square pyramid, and edges with two STi5 trigonal bipyramids. In the third S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share corners with two STi6 pentagonal pyramids, corners with three STi5 square pyramids, a cornercorner with one STi5 trigonal bipyramid, edges with four STi6 pentagonal pyramids, edges with three STi5 square pyramids, and edges with five STi5 trigonal bipyramids. In the fourth S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with five STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with two STi6 pentagonal pyramids, edges with four STi5 square pyramids, and edges with two STi5 trigonal bipyramids. In the fifth S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share a cornercorner with one STi6 pentagonal pyramid, corners with three STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with four STi6 pentagonal pyramids, edges with three STi5 square pyramids, and edges with five STi5 trigonal bipyramids. In the sixth S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share corners with two STi6 pentagonal pyramids, corners with four STi5 square pyramids, corners with three STi5 trigonal bipyramids, edges with four STi6 pentagonal pyramids, an edgeedge with one STi5 square pyramid, and edges with three STi5 trigonal bipyramids. In the seventh S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with two STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with five STi5 trigonal bipyramids, an edgeedge with one STi6 octahedra, edges with four STi6 pentagonal pyramids, and edges with three STi5 square pyramids. In the eighth S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share a cornercorner with one STi6 octahedra, corners with two STi5 square pyramids, corners with three STi5 trigonal bipyramids, edges with six STi6 pentagonal pyramids, edges with three STi5 square pyramids, and edges with three STi5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 6°. In the ninth S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share corners with two STi6 pentagonal pyramids, corners with three STi5 square pyramids, a cornercorner with one STi5 trigonal bipyramid, an edgeedge with one STi6 octahedra, edges with five STi6 pentagonal pyramids, edges with two STi5 square pyramids, and edges with four STi5 trigonal bipyramids. In the tenth S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share a cornercorner with one STi6 pentagonal pyramid, corners with four STi5 square pyramids, corners with four STi5 trigonal bipyramids, an edgeedge with one STi6 octahedra, edges with six STi6 pentagonal pyramids, and an edgeedge with one STi5 trigonal bipyramid. In the eleventh S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share a cornercorner with one STi6 octahedra, corners with three STi6 pentagonal pyramids, corners with three STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with four STi6 pentagonal pyramids, an edgeedge with one STi5 square pyramid, and edges with three STi5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 6°. In the twelfth S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with two STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with five STi5 trigonal bipyramids, an edgeedge with one STi6 octahedra, edges with four STi6 pentagonal pyramids, and edges with three STi5 square pyramids. In the thirteenth S2- site, S2- is bonded to six Ti+2.22+ atoms to form STi6 octahedra that share corners with four STi6 pentagonal

36 MATERIALS SCIENCE↗

Materials Data on Na13Ti24O54 by Materials Project

Na13Ti24O54 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na sites. In the first Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.33–2.60 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.29–2.61 Å. In the third Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.46–2.49 Å. In the fourth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the fifth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.85 Å. In the sixth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.85 Å. In the seventh Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.80 Å. In the eighth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.82 Å. In the ninth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.46–2.50 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.85 Å. In the eleventh Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.90 Å. In the twelfth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.33–2.60 Å. In the thirteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.26–2.74 Å. There are twenty-four inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the second Ti site, Ti is bonded to six O atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the third Ti site, Ti is bonded to six O atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. In the fourth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the fifth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.89–2.12 Å. In the sixth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.08 Å. In the seventh Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Ti–O bond distances ranging from 1.86–2.17 Å. In the eighth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the ninth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.22 Å. In the tenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the twentieth Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the twenty-first Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the twenty-second Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Ti–O bond distances ranging from 1.86–2.19 Å. In the twenty-third Ti site, Ti is bonded to six O atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.20 Å. In the twenty-fourth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.25 Å. There are fifty-four inequivalent O sites. In the first O site, O is bonded in a 4-coordinate geometry to one Na and three Ti atoms. In the second O site, O is bonded in a 4-coordinate geometry to two Na and three Ti atoms. In the third O site, O is bonded in a 3-coordinate geometry to one Na and three Ti atoms. In the fourth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share corners with two ONa2Ti3 square pyramids, corners with three ONaTi3 trigonal pyramids, edges with three ONa2Ti3 square pyramids, and an edgeedge with one ONa2Ti3 trigonal bipyramid. In the fifth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share corners with two ONa2Ti3 square pyramids, corners with two ONaTi3 trigonal pyramids, edges with two ONa2Ti3 square pyramids, an edgeedge with one ONa2Ti3 trigonal bipyramid, and an edgeedge with one ONaTi3 trigonal pyramid. In the sixth O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 trigonal bipyramids that share corners with three ONaTi3 trigonal pyramids, edges with four ONa2Ti3 square pyramids, and edges with three ONaTi3 trigonal pyramids. In the seventh O site, O is bonded in a 5-coordinate geometry to three Na and two Ti atoms. In the eighth O site, O is bonded in a 5-coordinate geometry to three Na and two Ti atoms. In the ninth O site, O is bonded in a 6-coordinate geometry to four Na and two Ti atoms. In the tenth O site, O is bonded to two Na and three Ti atoms to form ONa2Ti3 square pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with three ONaTi3 trigonal pyramids, edges with three ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the eleventh O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 square pyramids that share corners with three ONa2Ti3 square pyramids, corners with two ONaTi3 trigonal pyramids, edges with two ONa2Ti3 square pyramids, an edgeedge with one ONa2Ti3 trigonal bipyramid, and edges with three ONaTi3 trigonal pyramids. In the twelfth O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 square pyramids that share corners with four ONa2Ti3 square pyramids, a cornercorner with one ONaTi3 trigonal pyramid, an edgeedge with one ONa2Ti3 square pyramid, an edgeedge with one ONa2Ti3 trigonal bipyramid, and edges with three ONaTi3 trigonal pyramids. In the thirteenth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the sixteenth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONa2Ti3 trigonal bipyramid, corners with four ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the seventeenth O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 square pyramids that share corners with two ONa2Ti3 square pyramids, corners with three ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 trigonal bipyramid, and edges with four ONaTi3 trigonal pyramids. In the eighteenth O site, O is bonded to one Na and three Ti atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONa2Ti3 trigonal bipyramid, corners with five ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and edges with two ONaTi3 trigonal pyramids. In the nineteenth O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the twentieth O site, O is bonded in a distorted water-like geometry to two Na and two Ti atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to two Na and two Ti atoms. In the twenty-second O site, O is bonded to two Na and three Ti atoms to form distorted ONa2Ti3 trigonal bipyramids that share edges with four ONa2Ti3 trigonal bipyramids and an edgeedge with one ONaTi3 trigon

36 MATERIALS SCIENCE↗

Materials Data on Mg11Ti25O60 by Materials Project

Mg11Ti25O60 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Mg–O bond distances ranging from 2.01–2.20 Å. In the second Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Mg–O bond distances ranging from 2.01–2.20 Å. In the third Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the fifth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the seventh Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the eighth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the ninth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the tenth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the eleventh Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. There are twenty-five inequivalent Ti sites. In the first Ti site, Ti is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.13 Å. In the second Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the third Ti site, Ti is bonded to six O 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 31–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. In the fourth Ti site, Ti is bonded to six O 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 31–52°. There are a spread of Ti–O bond distances ranging from 1.82–2.17 Å. In the fifth Ti site, Ti is bonded to six O 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 32–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. In the sixth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. In the seventh Ti site, Ti is bonded to six O 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 31–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. In the eighth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the ninth Ti site, Ti is bonded to six O 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 31–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.23 Å. In the tenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.16 Å. In the twelfth Ti site, Ti is bonded to six O 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 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 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 1.82–2.20 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 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 1.82–2.20 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 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 1.82–2.20 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 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 1.82–2.20 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the twentieth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the twenty-first Ti site, Ti is bonded to six O 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 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the twenty-second Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the twenty-third Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the twenty-fourth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the twenty-fifth Ti site, Ti is bonded to six O 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 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. There are sixty inequivalent O sites. In the first O site, O is bonded to two Mg and two Ti atoms to form a mixture of distorted edge and corner-sharing OMg2Ti2 trigonal pyramids. In the second O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the third O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the fourth O site, O is bonded to four Ti atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the fifth O site, O is bonded to one Mg and three Ti atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the sixth O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the seventh O site, O is bonded to four Ti atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the eighth O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the ninth O site, O is bonded to one Mg and three Ti atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the tenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the twelfth O site, O is bonded in a distorted T-shaped geometry to one Mg and two Ti atoms. In the thirteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the fourteenth O site, O is bonded in a distorted T-shaped geometry to one Mg and two Ti atoms. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the seventeenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti19O30 by Materials Project

Ti19O30 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ti+3.16+ sites. In the first Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–61°. There are a spread of Ti–O bond distances ranging from 1.92–2.15 Å. In the third Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the fourth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are three shorter (2.02 Å) and three longer (2.08 Å) Ti–O bond lengths. In the fifth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the sixth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.11 Å. In the seventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.09 Å. In the eighth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. In the ninth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the tenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the eleventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the thirteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the fifteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.11 Å. In the sixteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the seventeenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–60°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the eighteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the nineteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.93–2.20 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.16+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the sixteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.16+ atoms. In the thirtieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti45Se16 by Materials Project

Ti45Se16 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are twenty-three inequivalent Ti sites. In the first Ti site, Ti is bonded in a linear geometry to two equivalent Se atoms. Both Ti–Se bond lengths are 2.61 Å. In the second Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.62 Å) and two longer (2.65 Å) Ti–Se bond lengths. In the third Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent Se atoms. Both Ti–Se bond lengths are 2.57 Å. In the fourth Ti site, Ti is bonded in a distorted L-shaped geometry to two Se atoms. There are one shorter (2.65 Å) and one longer (2.69 Å) Ti–Se bond lengths. In the fifth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are a spread of Ti–Se bond distances ranging from 2.55–2.71 Å. In the sixth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.62 Å) and two longer (2.66 Å) Ti–Se bond lengths. In the seventh Ti site, Ti is bonded to five Se atoms to form distorted edge-sharing TiSe5 trigonal bipyramids. There are a spread of Ti–Se bond distances ranging from 2.54–2.58 Å. In the eighth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.60 Å) and two longer (2.61 Å) Ti–Se bond lengths. In the ninth Ti site, Ti is bonded in a 3-coordinate geometry to three Se atoms. There are two shorter (2.54 Å) and one longer (2.62 Å) Ti–Se bond lengths. In the tenth Ti site, Ti is bonded in a distorted L-shaped geometry to two Se atoms. There are one shorter (2.65 Å) and one longer (2.67 Å) Ti–Se bond lengths. In the eleventh Ti site, Ti is bonded in a distorted trigonal non-coplanar geometry to three Se atoms. There are two shorter (2.56 Å) and one longer (2.61 Å) Ti–Se bond lengths. In the twelfth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are a spread of Ti–Se bond distances ranging from 2.56–2.89 Å. In the thirteenth Ti site, Ti is bonded in a distorted single-bond geometry to one Se atom. The Ti–Se bond length is 2.74 Å. In the fourteenth Ti site, Ti is bonded in a distorted L-shaped geometry to two Se atoms. There are one shorter (2.62 Å) and one longer (2.70 Å) Ti–Se bond lengths. In the fifteenth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four Se atoms. There are two shorter (2.64 Å) and two longer (2.65 Å) Ti–Se bond lengths. In the sixteenth Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent Se atoms. Both Ti–Se bond lengths are 2.64 Å. In the seventeenth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are three shorter (2.62 Å) and one longer (2.90 Å) Ti–Se bond lengths. In the eighteenth Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent Ti and two Se atoms. Both Ti–Ti bond lengths are 2.81 Å. There are one shorter (2.71 Å) and one longer (2.76 Å) Ti–Se bond lengths. In the nineteenth Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent Ti and two Se atoms. Both Ti–Ti bond lengths are 2.70 Å. There are one shorter (2.60 Å) and one longer (2.72 Å) Ti–Se bond lengths. In the twentieth Ti site, Ti is bonded in a 12-coordinate geometry to nine Ti atoms. There are a spread of Ti–Ti bond distances ranging from 2.75–3.02 Å. In the twenty-first Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.61 Å) and two longer (2.62 Å) Ti–Se bond lengths. In the twenty-second Ti site, Ti is bonded in a distorted L-shaped geometry to three equivalent Ti and two equivalent Se atoms. Both Ti–Se bond lengths are 2.58 Å. In the twenty-third Ti site, Ti is bonded in a 5-coordinate geometry to five Se atoms. There are a spread of Ti–Se bond distances ranging from 2.59–2.88 Å. There are eight inequivalent Se sites. In the first Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms. In the second Se site, Se is bonded to seven Ti atoms to form distorted edge-sharing SeTi7 pentagonal bipyramids. In the third Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms. In the fourth Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the fifth Se site, Se is bonded to seven Ti atoms to form distorted edge-sharing SeTi7 pentagonal bipyramids. In the sixth Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms. In the seventh Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms. In the eighth Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms.

36 MATERIALS SCIENCE↗