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Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.23 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.57 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and edges with two VO6 octahedra. There is one shorter (1.97 Å) and three longer (1.99 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.53 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.75 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.74 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.52 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one VO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.54 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.75 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.18 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.13 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.18 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.12 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.12 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.19 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.20 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.34 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–40°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–44°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–44°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–38°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–37°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–43°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–47°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–38°. All P–O bond lengths are 1.55 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted corner-sharing OLi2VP tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2-

36 MATERIALS SCIENCE↗

Materials Data on K5Te2Mo6H18NO36 by Materials Project

(K5Mo6Te2(HO2)18)2N2 crystallizes in the monoclinic Cc space group. The structure is three-dimensional and consists of four ammonia molecules and one K5Mo6Te2(HO2)18 framework. In the K5Mo6Te2(HO2)18 framework, there are five inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.70–2.74 Å. In the second K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.73–2.84 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.76–3.39 Å. In the fourth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.76–2.94 Å. In the fifth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.79–3.14 Å. There are six inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.42 Å. In the second Mo6+ site, Mo6+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.42 Å. In the third Mo6+ site, Mo6+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.38 Å. In the fourth Mo6+ site, Mo6+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.34 Å. In the fifth Mo6+ site, Mo6+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.34 Å. In the sixth Mo6+ site, Mo6+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.39 Å. There are eighteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (0.99 Å) and one longer (1.73 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the seventh H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.68 Å) H–O bond length. In the eighth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.69 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fifteenth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.68 Å) H–O bond length. In the sixteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.63 Å) H–O bond length. In the seventeenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the eighteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are two inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Te–O bond distances ranging from 1.95–1.97 Å. In the second Te4+ site, Te4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Te–O bond distances ranging from 1.95–1.97 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two H1+ atoms. In the second O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two H1+ atoms. In the third O2- site, O2- is bonded in a distorted water-like geometry to one H1+ and one Te4+ atom. In the fourth O2- site, O2- is bonded in a distorted water-like geometry to one H1+ and one Te4+ atom. In the fifth O2- site, O2- is bonded in a water-like geometry to one K1+ and two H1+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to one K1+ and two H1+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and one Mo6+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one Mo6+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one Mo6+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one Mo6+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one Mo6+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mo6+, one H1+, and one Te4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Mo6+, one H1+, and one Te4+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one Mo6+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one K1+ and one Mo6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mo6+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mo6+ and one H1+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mo6+ and one Te4+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, two Mo6+, and one Te4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mo6+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Mo6+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mo6+ and one Te4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mo6+ and one Te4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one Mo6+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one Mo6+ atom. In the twenty-seventh O2- site, O2- is bonded in a water-like geometry to two K1+ and two H1+ atoms. In the twenty-eighth O2- site, O2- is bonded in a water-like geometry to one K1+ and two H1+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one H1+, and one Te4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one H1+, and one Te4+ atom. In the thirty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two Mo6+ atoms. In the thirty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Mo6+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one Mo6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one Mo6+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one H1+ and one Te4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one H1+, and one Te4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K4Pt2(SO4)5 by Materials Project

K4Pt2(SO4)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 5-coordinate geometry to eleven O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.42 Å. In the second K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.88–3.38 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.95 Å. In the fourth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.62–2.92 Å. In the fifth K1+ site, K1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.66–3.41 Å. In the sixth K1+ site, K1+ is bonded in a 8-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.34 Å. In the seventh K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.06 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.50 Å. There are four inequivalent Pt3+ sites. In the first Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are four shorter (2.05 Å) and one longer (2.17 Å) Pt–O bond lengths. In the second Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.17 Å. In the third Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.19 Å. In the fourth Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.19 Å. There are ten inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.47–1.53 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There is two shorter (1.45 Å) and two longer (1.55 Å) S–O bond length. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.46–1.55 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.57 Å. In the ninth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the tenth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.54 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two K1+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent K1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Pt3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Pt3+, and one S6+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Ti9O20 by Materials Project

Ba2Ti9O20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–3.16 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with eight TiO6 octahedra, edges with two equivalent BaO12 cuboctahedra, edges with two TiO6 octahedra, and faces with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Ba–O bond distances ranging from 2.84–3.16 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.30 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.17 Å. There are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–61°. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–52°. There are a spread of Ti–O bond distances ranging from 1.80–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–57°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–47°. There are a spread of Ti–O bond distances ranging from 1.84–2.39 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the eleventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.39 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Ti–O bond distances ranging from 1.82–2.36 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, edges with four TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–37°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.16 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–55°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with two TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–46°. There are a spread of Ti–O bond distances ranging from 1.83–2.07 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on V3O7 by Materials Project

V3O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.00 Å. In the second V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.01 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.06 Å. In the fourth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.01 Å. In the fifth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the sixth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the seventh V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of V–O bond distances ranging from 1.76–2.05 Å. In the eighth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. In the ninth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.07 Å. In the tenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the eleventh V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. In the twelfth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.01 Å. In the thirteenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the fourteenth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.07 Å. In the fifteenth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.07 Å. In the sixteenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. In the seventeenth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of V–O bond distances ranging from 1.76–2.05 Å. In the eighteenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the twenty-first O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms. In the thirtieth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the thirty-fourth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the fortieth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the forty-second O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Ti2Nb10Si8O51 by Materials Project

Ba6Ti2Nb10Si8O51 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.12 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.84–3.15 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.31 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.16 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to thirteen O2- atoms. There are a spread of Ba–O bond distances ranging from 2.87–3.34 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.17 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–28°. There are a spread of Ti–O bond distances ranging from 1.74–2.00 Å. In the second Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–31°. There are a spread of Ti–O bond distances ranging from 1.73–2.02 Å. There are ten inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three NbO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–35°. There are a spread of Nb–O bond distances ranging from 1.85–2.18 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three NbO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–40°. There are a spread of Nb–O bond distances ranging from 1.89–2.12 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–34°. There are a spread of Nb–O bond distances ranging from 1.89–2.08 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three NbO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–34°. There are a spread of Nb–O bond distances ranging from 1.94–2.06 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three NbO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–32°. There are a spread of Nb–O bond distances ranging from 1.94–2.07 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–31°. There are a spread of Nb–O bond distances ranging from 1.83–2.21 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–33°. There are a spread of Nb–O bond distances ranging from 1.89–2.08 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three NbO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–40°. There are a spread of Nb–O bond distances ranging from 1.89–2.12 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three NbO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–35°. There are a spread of Nb–O bond distances ranging from 1.85–2.18 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–32°. There are a spread of Nb–O bond distances ranging from 1.83–2.21 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 28°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 28–29°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three NbO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–31°. There is three shorter (1.63 Å) and one longer (1.64 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three NbO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–35°. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three NbO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–31°. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three NbO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–36°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–37°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are fifty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti4+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti4+, and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one Nb5+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to two Ba2+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti4+, and one Nb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti4+, and one Nb5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one Nb5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb5+ atoms. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Nb5+, and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+,

36 MATERIALS SCIENCE↗

Materials Data on Ba2La3Si3O12F by Materials Project

Ba2La3Si3O12F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to six O2- and one F1- atom. There are a spread of Ba–O bond distances ranging from 2.62–2.99 Å. The Ba–F bond length is 2.60 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.11 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.04 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to six O2- and one F1- atom. There are a spread of Ba–O bond distances ranging from 2.62–2.96 Å. The Ba–F bond length is 2.61 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.02 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.08 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.02 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to six O2- and one F1- atom. There are a spread of Ba–O bond distances ranging from 2.64–2.89 Å. The Ba–F bond length is 2.68 Å. There are twelve inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with six LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.36–2.60 Å. The La–F bond length is 2.55 Å. In the second La3+ site, La3+ is bonded in a 7-coordinate geometry to six O2- and one F1- atom. There are a spread of La–O bond distances ranging from 2.38–2.88 Å. The La–F bond length is 2.34 Å. In the third La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with five LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.37–2.63 Å. The La–F bond length is 2.57 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.93 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.99 Å. In the sixth La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with three LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.35–2.71 Å. The La–F bond length is 2.47 Å. In the seventh La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with four LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.40–2.60 Å. The La–F bond length is 2.57 Å. In the eighth La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with five LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.37–2.60 Å. The La–F bond length is 2.57 Å. In the ninth La3+ site, La3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.57 Å. In the tenth La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with three LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.42–2.74 Å. The La–F bond length is 2.49 Å. In the eleventh La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with four LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.42–2.59 Å. The La–F bond length is 2.59 Å. In the twelfth La3+ site, La3+ is bonded to six O2- and one F1- atom to form distorted LaO6F pentagonal bipyramids that share corners with four LaO6F pentagonal bipyramids, corners with four SiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.40–2.61 Å. The La–F bond length is 2.58 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There is one shorter (1.64 Å) and three longer (1.66 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There is one shorter (1.63 Å) and three longer (1.66 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LaO6F pentagonal bipyramids. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LaO6F pentagonal bipyramids. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four LaO6F pentagonal bipyramids and an edgeedge with one LaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LaO6F pentagonal bipyramids. There are a spread of Si–O bond distances ranging from 1.65–1.67 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded to two Ba2+, one La3+, and one Si4+ atom to form distorted edge-sharing OBa2LaSi tetrahedra. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two La3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two La3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded to two Ba2+, one La3+, and one Si4+ atom to form distorted edge-sharing OBa2LaSi tetrahedra. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded to two Ba2+, one La3+, and one Si4+ atom to form distorted edge-sharing OBa2LaSi tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, one La3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two La3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two La3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two La3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one La3+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one La3+, and one Si4+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two La3+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one La3+, and one Si4+ atom. In the thi

36 MATERIALS SCIENCE↗

Materials Data on Nb10Pb14O39 by Materials Project

Nb10Pb14O39 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are ten inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted NbO5 trigonal bipyramids that share a cornercorner with one NbO6 octahedra, a cornercorner with one PbO5 trigonal bipyramid, and corners with two equivalent NbO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 16°. There are a spread of Nb–O bond distances ranging from 1.88–2.14 Å. In the second Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted NbO5 trigonal bipyramids that share a cornercorner with one NbO6 octahedra and a cornercorner with one PbO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of Nb–O bond distances ranging from 1.87–2.10 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.90–2.25 Å. In the fourth Nb5+ site, Nb5+ is bonded to five O2- atoms to form corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.87–2.19 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.80–2.42 Å. In the sixth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.81–2.38 Å. In the seventh Nb5+ site, Nb5+ is bonded to five O2- atoms to form corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.86–2.13 Å. In the eighth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted NbO5 trigonal bipyramids that share an edgeedge with one PbO5 trigonal bipyramid. There are a spread of Nb–O bond distances ranging from 1.83–2.08 Å. In the ninth Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.18 Å. In the tenth Nb5+ site, Nb5+ is bonded to four O2- atoms to form NbO4 tetrahedra that share a cornercorner with one PbO5 trigonal bipyramid and corners with two equivalent NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.84–1.93 Å. There are fourteen inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 5-coordinate geometry to three O2- atoms. There are a spread of Pb–O bond distances ranging from 2.15–2.31 Å. In the second Pb2+ site, Pb2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.30–2.90 Å. In the third Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.91 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.56 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.37–3.17 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.36–3.15 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.25–2.87 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.30–3.07 Å. In the ninth Pb2+ site, Pb2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.37–2.78 Å. In the tenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.93 Å. In the eleventh Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.33–2.97 Å. In the twelfth Pb2+ site, Pb2+ is bonded to five O2- atoms to form distorted PbO5 trigonal bipyramids that share a cornercorner with one NbO4 tetrahedra, corners with two NbO5 trigonal bipyramids, and an edgeedge with one NbO5 trigonal bipyramid. There are a spread of Pb–O bond distances ranging from 2.34–2.81 Å. In the thirteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Pb–O bond distances ranging from 2.16–2.42 Å. In the fourteenth Pb2+ site, Pb2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–3.00 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Nb5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and one Pb2+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and three Pb2+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Nb5+ and one Pb2+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Nb5+ and one Pb2+ atom. In the tenth O2- site, O2- is bonded to four Pb2+ atoms to form distorted edge-sharing OPb4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pb2+ atoms to form distorted edge-sharing OPb4 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and two Pb2+ atoms. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Nb5+ and one Pb2+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and two Pb2+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and two Pb2+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nb5+ and one Pb2+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nb5+ and one Pb2+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Nb5+ and one Pb2+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and one Pb2+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and two Pb2+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and two Pb2+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Nb5+ and two Pb2+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and one Pb2+ atom. In the twenty-eighth O2- site, O2- is bonded to four Pb2+ atoms to form OPb4 tetrahedra that share a cornercorner with one ONb3Pb trigonal pyramid and an edgeedge with one OPb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Pb2+ atoms to form distorted edge-sharing OPb4 tetrahedra. In the thirtieth O2- site, O2- is bonded to three Nb5+ and one Pb2+ atom to form distorted corner-sharing ONb3Pb trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and one Pb2+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and one Pb2+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and three Pb2+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Nb5+ and three Pb2+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Pb2+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Nb5+ and two Pb2+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Nb5+ and one Pb2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K2V3P4H4O19 by Materials Project

K2V3P4H4O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.78–3.16 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.84–3.15 Å. In the third K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.78–3.14 Å. In the fourth K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.17 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 8–41°. There are a spread of V–O bond distances ranging from 1.71–2.12 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of V–O bond distances ranging from 1.69–2.17 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 8–41°. There are a spread of V–O bond distances ranging from 1.68–2.27 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–42°. There are a spread of V–O bond distances ranging from 1.68–2.28 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of V–O bond distances ranging from 1.69–2.16 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–41°. There are a spread of V–O bond distances ranging from 1.71–2.12 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 22–58°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There is three shorter (1.54 Å) and one longer (1.60 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 36–59°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–58°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–47°. There is three shorter (1.54 Å) and one longer (1.60 Å) P–O bond length. There are eight inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.69 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the third H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.64 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the sixth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.64 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the eighth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.67 Å) H–O bond length. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one K1+ and two V4+ atoms. In the second O2- site, O2- is bonded in a distorted water-like geometry to one K1+, one P5+, and one H1+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one P5+, and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one P5+, and one H1+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one P5+, and one H1+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one V4+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one P5+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a distorted water-like geometry to one K1+, one P5+, and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two V4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and two V4+ atoms. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+ and two V4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted water-like geometry to one K1+, one P5+, and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one P5+, and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one P5+, and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one V4+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one P5+, and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one V4+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V4+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one P5+, and one H1+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted water-like geometry to one K1+, one P5+, and one H1+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted linear geometry to two V4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two V4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti4Co(AsO5)4 by Materials Project

Li2Ti4Co(AsO5)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AsO4 tetrahedra, edges with two LiO6 octahedra, and faces with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.01–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and faces with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and edges with two CoO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.03–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and faces with two TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Ti–O bond distances ranging from 1.74–2.27 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–61°. There are a spread of Ti–O bond distances ranging from 1.77–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.72–2.31 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.70–2.35 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Ti–O bond distances ranging from 1.75–2.22 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.74–2.25 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.73–2.31 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Co–O bond distances ranging from 2.06–2.18 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Co–O bond distances ranging from 2.07–2.17 Å. There are eight inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the second As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of As–O bond distances ranging from 1.69–1.73 Å. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the fourth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of As–O bond distances ranging from 1.69–1.75 Å. In the fifth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the sixth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–52°. There is two shorter (1.71 Å) and two longer (1.72 Å) As–O bond length. In the seventh As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two TiO6 octahedra, and corners with three LiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of As–O bond distances ranging from 1.71–1.73 Å. In the eighth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of As–O bond distances ranging from 1.70–1.75 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one As5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ti4+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one As5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ti4+, and one Co2+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Co2+, and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Ti4+ and one Co2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Ti4+ and one Co2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Ti4+, and one As5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Co2+, and one As5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on TiNb2O7 by Materials Project

TiNb2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NbO6 octahedra and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 4–29°. There are a spread of Ti–O bond distances ranging from 1.81–2.19 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.39 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.31 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.27 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one NbO6 octahedra and an edgeedge with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Ti–O bond distances ranging from 1.82–2.19 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one NbO6 octahedra and an edgeedge with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ti–O bond distances ranging from 1.81–2.35 Å. There are twelve inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.80–2.43 Å. In the second Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.82–2.38 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with three TiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 4–29°. There are a spread of Nb–O bond distances ranging from 1.84–2.25 Å. In the fourth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.82–2.37 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Nb–O bond distances ranging from 1.93–2.23 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with three NbO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Nb–O bond distances ranging from 1.91–2.10 Å. In the seventh Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.83–2.31 Å. In the eighth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.82–2.39 Å. In the ninth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.83–2.39 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three NbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of Nb–O bond distances ranging from 1.83–2.30 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three NbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 7–32°. There are a spread of Nb–O bond distances ranging from 1.86–2.21 Å. In the twelfth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.84–2.37 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Nb5+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the sixteenth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Ti4+ and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the thirty-third O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Nb5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Nb5+ atoms. In the forty-first O2- site, O2- is bonded in a linear geometry to one Ti4+ and one Nb5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.15 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.22 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.32 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.31 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.39 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.26–2.46 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–1.97 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.97 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.94 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.00 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.92 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 25–32°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 33–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–31°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thi

36 MATERIALS SCIENCE↗

Materials Data on Na5Bi2P(CO4)4 by Materials Project

Na5Bi2P(CO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.72 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.22–2.72 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.69 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.70 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.74 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Na–O bond distances ranging from 2.30–2.71 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.74 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Na–O bond distances ranging from 2.32–2.70 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.69 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Na–O bond distances ranging from 2.31–2.75 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.72 Å. In the fifteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.22–2.78 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.74 Å. In the eighteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.76 Å. In the nineteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.75 Å. In the twentieth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Na–O bond distances ranging from 2.29–2.70 Å. There are sixteen inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the tenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the eleventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the twelfth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the thirteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the fifteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the sixteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.44 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.47 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.43 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.35–2.44 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.43 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.44 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.44 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.37–2.41 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share edges with two NaO6 octahedra. All P–O bond lengths are 1.56 Å. In the second P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. All P–O bond lengths are 1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share edges with four NaO6 octahedra. All P–O bond lengths are 1.56 Å. In the fourth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. There are sixty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one C4+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the eighth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form distorted edge-sharing ONa3P trigonal pyramids. In the ninth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form edge-sharing ONa3P trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ an

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.14 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.29 Å. There are twelve inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.03–2.33 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.27 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.21 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.23 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.99–2.03 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.01–2.58 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.10 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the eleventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.38 Å. In the twelfth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.42 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.34 Å) and two longer (1.41 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.44 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.35 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. There are twelve inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.09 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.24 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.24 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.03–2.54 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.04 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.30 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.11 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.21 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.15 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the eleventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.08 Å. In the twelfth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.25 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.44 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.45 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.14–2.53 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.40 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.44 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.13 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.40 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.16 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.13–2.45 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.46 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.40 Å. In the tenth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.07 Å. In the twelfth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.46 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.15 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.16 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.13 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.17 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with three VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.12 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.20 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.34 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–56°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 35–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–54°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V4+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-si

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.17–2.48 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.40 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.10 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.79 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.16–2.41 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.42 Å. In the tenth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.03 Å. In the twelfth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.54 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.15 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.03 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.11 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.16 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.17 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.43 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two V4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti4O9 by Materials Project

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

36 MATERIALS SCIENCE↗