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Materials Data on MnCr3(PO4)4 by Materials Project

Cr3Mn(PO4)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Cr+3.33+ sites. In the first Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–O bond distances ranging from 1.96–2.10 Å. In the second Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Cr–O bond distances ranging from 1.98–2.08 Å. In the third Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–O bond distances ranging from 1.96–2.09 Å. Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.90–2.26 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CrO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CrO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CrO6 octahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.33+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr+3.33+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr+3.33+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and an edgeedge with one MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There is one shorter (1.92 Å) and one longer (1.94 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.29 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form a mixture of distorted corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–64°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.44 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with six MnOF5 octahedra and an edgeedge with one MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. The Mn–O bond length is 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.16 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with six MnO3F3 octahedra and edges with two equivalent MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There is one shorter (1.97 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.08–2.38 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with six MnO2F4 octahedra and edges with two equivalent MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. There is one shorter (1.91 Å) and one longer (1.96 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.93–2.21 Å. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded in a 7-coordinate geometry to one O2- and six F1- atoms. The Mn–O bond length is 2.30 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.71 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–64°. There are one shorter (2.02 Å) and one longer (2.05 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 1.97–2.25 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. The Mn–O bond length is 1.93 Å. There are a spread of Mn–F bond distances ranging from 1.98–2.23 Å. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form a mixture of distorted corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There is two shorter (1.93 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.30 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with six MnO3F3 octahedra and edges with two equivalent MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. The Mn–O bond length is 1.94 Å. There are a spread of Mn–F bond distances ranging from 2.00–2.30 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded in a 7-coordinate geometry to two O2- and five F1- atoms. There is one shorter (1.94 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.12–2.52 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with six MnO3F3 octahedra and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. Both Mn–O bond lengths are 2.12 Å. There are a spread of Mn–F bond distances ranging from 2.14–2.30 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to four Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted bent 120 degrees geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a 2-coordinate geometry to three Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a 2-coordinate geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to three Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to four Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Co3Sn(PO4)4 by Materials Project

Co3Sn(PO4)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.85–2.14 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent SnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Co–O bond distances ranging from 1.96–2.25 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.88–2.12 Å. Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Sn–O bond distances ranging from 2.01–2.17 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 a cornercorner with one SnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. 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 SnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one SnO6 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 corners with four CoO6 octahedra and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. 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 two CoO6 octahedra, corners with two equivalent SnO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Co+2.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Co+2.67+, one Sn4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Co+2.67+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Co+2.67+, one Sn4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cr3Ni(PO4)4 by Materials Project

Cr3Ni(PO4)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Cr+3.33+ sites. In the first Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–O bond distances ranging from 1.95–2.07 Å. In the second Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent NiO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Cr–O bond distances ranging from 1.97–2.04 Å. In the third Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–O bond distances ranging from 1.97–2.09 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ni–O bond distances ranging from 1.98–2.21 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CrO6 octahedra, corners with two equivalent NiO6 octahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There is two shorter (1.52 Å) and two longer (1.58 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with three CrO6 octahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with three CrO6 octahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.33+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr+3.33+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.33+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr+3.33+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MnCo3(PO4)4 by Materials Project

MnCo3(PO4)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.31 Å. There are three inequivalent Co+3.33+ sites. In the first Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are two shorter (1.89 Å) and four longer (2.11 Å) Co–O bond lengths. In the second Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form distorted CoO6 pentagonal pyramids that share corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.88–2.30 Å. In the third Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.88–2.11 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 a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. 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 corners with three CoO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one CoO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–54°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Co+3.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Co+3.33+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+3.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Co+3.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+3.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co+3.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Co+3.33+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+3.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Co+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+3.33+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li12Mn11Fe(PO4)12 by Materials Project

Li12Mn11Fe(PO4)12 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four MnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four MnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.26 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four MnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four MnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.29 Å. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.30 Å. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.32 Å. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.30 Å. In the fifth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.29 Å. In the sixth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.30 Å. In the seventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.16–2.29 Å. Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.28 Å. There are eight inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are twenty-eight inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the second O site, O is bonded in a rectangular see-saw-like geometry to two equivalent Li, one Fe, and one P atom. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li, one Mn, and one P atom. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li, one Mn, and one P atom. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the tenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, one Mn, one Fe, and one P atom. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to two equivalent Li, one Mn, and one P atom. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to two equivalent Li, one Mn, and one P atom. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the seventeenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the eighteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the twentieth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li, one Fe, and one P atom. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Mn, and one P atom. In the twenty-third O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li, one Mn, and one P atom. In the twenty-fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the twenty-fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Mn, and one P atom. In the twenty-sixth O site, O

36 MATERIALS SCIENCE↗

Materials Data on Fe10OF19 by Materials Project

Fe10OF19 is Hydrophilite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are six inequivalent Fe+2.10+ sites. In the first Fe+2.10+ site, Fe+2.10+ is bonded to one O2- and five F1- atoms to form FeOF5 octahedra that share corners with eight FeO2F4 octahedra and edges with two equivalent FeOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. The Fe–O bond length is 2.06 Å. There are four shorter (2.15 Å) and one longer (2.16 Å) Fe–F bond lengths. In the second Fe+2.10+ site, Fe+2.10+ is bonded to two equivalent O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. Both Fe–O bond lengths are 1.95 Å. There are two shorter (2.02 Å) and two longer (2.23 Å) Fe–F bond lengths. In the third Fe+2.10+ site, Fe+2.10+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with eight FeO2F4 octahedra and edges with two equivalent FeF6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–F bond distances ranging from 2.03–2.15 Å. In the fourth Fe+2.10+ site, Fe+2.10+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeF6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–F bond distances ranging from 2.03–2.14 Å. In the fifth Fe+2.10+ site, Fe+2.10+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–F bond distances ranging from 2.04–2.13 Å. In the sixth Fe+2.10+ site, Fe+2.10+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–F bond distances ranging from 2.03–2.14 Å. O2- is bonded in a trigonal planar geometry to three Fe+2.10+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.10+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.10+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn2Cr3Sn3O16 by Materials Project

Li4Cr3Mn2Sn3O16 is Spinel-derived structured and 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 four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent MnO6 octahedra, corners with four SnO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one SnO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Li–O bond distances ranging from 1.76–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two SnO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 1.81–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent MnO6 octahedra, corners with four CrO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. There are three inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with four SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–O bond distances ranging from 2.00–2.12 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 2.00–2.08 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–O bond distances ranging from 2.00–2.08 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 two equivalent SnO6 octahedra, corners with four CrO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one SnO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Mn–O bond distances ranging from 1.98–2.15 Å. There are three inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sn–O bond distances ranging from 2.06–2.12 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Sn–O bond distances ranging from 2.06–2.13 Å. In the third Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Sn–O bond distances ranging from 2.05–2.14 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom. In the second O2- site, O2- is bonded to one Li1+, one Mn2+, and two Sn4+ atoms to form distorted OLiMnSn2 tetrahedra that share corners with two equivalent OLiCrSn2 tetrahedra, corners with three OLiMnCrSn trigonal pyramids, and edges with two OLiMnCrSn trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr4+, and two Sn4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Cr4+, and two Sn4+ atoms to form distorted OLiCrSn2 tetrahedra that share corners with two equivalent OLiMnSn2 tetrahedra and corners with four OLiMnCrSn trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Sn4+ atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent OLiMnCr2 tetrahedra and corners with three equivalent OLiCr2Sn trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom to form distorted OLiMnCrSn trigonal pyramids that share corners with three OLiMnSn2 tetrahedra, corners with two OLiMnCrSn trigonal pyramids, an edgeedge with one OLiMnSn2 tetrahedra, and an edgeedge with one OLiMnCrSn trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom to form distorted OLiMnCrSn trigonal pyramids that share corners with three OLiMnSn2 tetrahedra, corners with two OLiMnCrSn trigonal pyramids, an edgeedge with one OLiMnSn2 tetrahedra, and an edgeedge with one OLiMnCrSn trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn2+, and two Sn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Sn4+ atom to form distorted OLiCr2Sn trigonal pyramids that share corners with four OLiMnSn2 tetrahedra, corners with two OLiMnCrSn trigonal pyramids, and an edgeedge with one OLiMnCr2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr4+, one Mn2+, and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe2Ni3Sn3O16 by Materials Project

Li4Fe2Ni3Sn3O16 is Spinel-derived structured and 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 four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four SnO6 octahedra, and corners with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one SnO6 octahedra, corners with two NiO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Li–O bond distances ranging from 1.78–2.13 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two SnO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.78–1.99 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four NiO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four NiO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Fe–O bond distances ranging from 2.03–2.14 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one SnO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Fe–O bond distances ranging from 2.04–2.14 Å. There are three inequivalent Ni+3.33+ sites. In the first Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with four SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of Ni–O bond distances ranging from 1.97–2.10 Å. In the second Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent NiO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Ni–O bond distances ranging from 1.91–2.16 Å. In the third Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent NiO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ni–O bond distances ranging from 1.89–2.00 Å. There are three inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent NiO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of Sn–O bond distances ranging from 2.04–2.12 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent NiO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Sn–O bond distances ranging from 2.04–2.12 Å. In the third Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with four NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Sn–O bond distances ranging from 2.06–2.12 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sn4+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ni+3.33+, and two Sn4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Ni+3.33+, and two Sn4+ atoms to form distorted corner-sharing OLiNiSn2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two Ni+3.33+, and one Sn4+ atom to form distorted corner-sharing OLiNi2Sn tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom to form distorted corner-sharing OLiFeNiSn tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.33+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom to form distorted OLiFeNiSn tetrahedra that share corners with four OLiNi2Sn tetrahedra and edges with two OLiFeNi2 tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom to form distorted OLiFeNiSn tetrahedra that share corners with four OLiNi2Sn tetrahedra and edges with two OLiFeNi2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+3.33+, and one Sn4+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Ni+3.33+ atoms to form distorted OLiFeNi2 tetrahedra that share corners with four OLiNi2Sn tetrahedra and edges with two OLiFeNiSn tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, one Ni+3.33+, and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3V2Sb3O16 by Materials Project

Li4V2Mn3Sb3O16 is Hausmannite-derived structured and 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 four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent VO6 octahedra, corners with four SbO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–71°. There are a spread of Li–O bond distances ranging from 2.04–2.13 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 1.81–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two SbO6 octahedra, corners with three equivalent VO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Li–O bond distances ranging from 1.83–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent VO6 octahedra, corners with four MnO6 octahedra, and corners with five SbO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Li–O bond distances ranging from 1.99–2.31 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of V–O bond distances ranging from 1.92–2.30 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of V–O bond distances ranging from 1.91–2.57 Å. There are three inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–O bond distances ranging from 2.15–2.22 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent SbO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Mn–O bond distances ranging from 1.98–2.33 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent SbO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–O bond distances ranging from 2.11–2.33 Å. There are three inequivalent Sb+3.67+ sites. In the first Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Sb–O bond distances ranging from 1.98–2.08 Å. In the second Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sb–O bond distances ranging from 1.97–2.08 Å. In the third Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Sb–O bond distances ranging from 2.02–2.05 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom. In the second O2- site, O2- is bonded to one Li1+, one V5+, and two Sb+3.67+ atoms to form distorted OLiVSb2 trigonal pyramids that share corners with four OLiMnSb2 tetrahedra and edges with two OLiMnVSb tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+2.33+, and two Sb+3.67+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+2.33+, and two Sb+3.67+ atoms to form distorted OLiMnSb2 tetrahedra that share corners with four OLiMnVSb tetrahedra and corners with two equivalent OLiVSb2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one Sb+3.67+ atom to form distorted corner-sharing OLiMn2Sb tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom to form distorted OLiMnVSb tetrahedra that share corners with three OLiMnSb2 tetrahedra, a cornercorner with one OLiVSb2 trigonal pyramid, an edgeedge with one OLiMnVSb tetrahedra, and an edgeedge with one OLiVSb2 trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom to form distorted OLiMnVSb tetrahedra that share corners with three OLiMnSb2 tetrahedra, a cornercorner with one OLiVSb2 trigonal pyramid, an edgeedge with one OLiMnVSb tetrahedra, and an edgeedge with one OLiVSb2 trigonal pyramid. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, and two Sb+3.67+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn+2.33+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.33+, and one Sb+3.67+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one V5+, and two Mn+2.33+ atoms to form distorted corner-sharing OLiMn2V trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Mn+2.33+, and one Sb+3.67+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6V3Sb3O16 by Materials Project

Li6V3Sb3O16 is Hausmannite-derived structured and 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 six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Li–O bond distances ranging from 2.15–2.48 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra, corners with four SbO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–70°. There are a spread of Li–O bond distances ranging from 1.99–2.24 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.03 Å. In the fourth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–1.96 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Li–O bond distances ranging from 2.16–2.48 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra, corners with four VO6 octahedra, and corners with five SbO6 octahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of V–O bond distances ranging from 1.86–2.07 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four equivalent SbO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of V–O bond distances ranging from 2.02–2.15 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of V–O bond distances ranging from 1.88–2.07 Å. There are two inequivalent Sb+3.67+ sites. In the first Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Sb–O bond distances ranging from 1.98–2.07 Å. In the second Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Sb–O bond distances ranging from 2.00–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V5+, and one Sb+3.67+ atom. In the second O2- site, O2- is bonded to two Li1+ and two equivalent Sb+3.67+ atoms to form distorted OLi2Sb2 tetrahedra that share corners with two OLi2VSb tetrahedra, corners with four OLi2V2 trigonal pyramids, and edges with two OLi2VSb tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two equivalent Sb+3.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two equivalent Sb+3.67+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V5+, and one Sb+3.67+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V5+, and one Sb+3.67+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one V5+, and one Sb+3.67+ atom to form distorted OLi2VSb tetrahedra that share corners with two OLi2Sb2 tetrahedra, corners with five OLi2V2 trigonal pyramids, and edges with two OLi2VSb tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+, one V5+, and one Sb+3.67+ atom to form distorted OLi2VSb tetrahedra that share corners with two OLi2Sb2 tetrahedra, corners with five OLi2V2 trigonal pyramids, and edges with two OLi2VSb tetrahedra. The O–Sb bond length is 1.98 Å. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Sb+3.67+ atoms. In the tenth O2- site, O2- is bonded to two Li1+ and two V5+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with six OLi2Sb2 tetrahedra and corners with two equivalent OLiV2Sb trigonal pyramids. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one Sb+3.67+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one V5+, and one Sb+3.67+ atom to form distorted OLi2VSb tetrahedra that share a cornercorner with one OLi2V2 tetrahedra, corners with three OLi2V2 trigonal pyramids, an edgeedge with one OLi2V2 tetrahedra, and an edgeedge with one OLiV2Sb trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+, two V5+, and one Sb+3.67+ atom to form distorted OLiV2Sb trigonal pyramids that share corners with three OLi2Sb2 tetrahedra, corners with two equivalent OLi2V2 trigonal pyramids, and edges with two OLi2V2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one V5+, and one Sb+3.67+ atom to form distorted OLi2VSb trigonal pyramids that share corners with six OLi2Sb2 tetrahedra, a cornercorner with one OLi2VSb trigonal pyramid, and an edgeedge with one OLi2VSb trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two Li1+ and two V5+ atoms to form distorted OLi2V2 tetrahedra that share a cornercorner with one OLi2VSb tetrahedra, corners with four OLi2V2 trigonal pyramids, an edgeedge with one OLi2VSb tetrahedra, and an edgeedge with one OLiV2Sb trigonal pyramid. In the sixteenth O2- site, O2- is bonded to two Li1+, one V5+, and one Sb+3.67+ atom to form distorted OLi2VSb trigonal pyramids that share corners with six OLi2Sb2 tetrahedra, a cornercorner with one OLi2VSb trigonal pyramid, and an edgeedge with one OLi2VSb trigonal pyramid. The O–Sb bond length is 1.99 Å.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.20 Å) and one longer (2.28 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.22–2.27 Å. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are one shorter (2.06 Å) and two longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.11–2.32 Å. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. There are one shorter (2.21 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.23 Å. In the sixth Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form distorted HfN2O4 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are one shorter (2.08 Å) and one longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.20 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.24 Å) and one longer (2.30 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.16 Å) and one longer (2.17 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.16 Å. There are one shorter (2.20 Å) and one longer (2.36 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.25 Å. There are one shorter (2.19 Å) and one longer (2.22 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. The Hf–O bond length is 2.26 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.21 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.15–2.27 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.22 Å. The Hf–O bond length is 2.31 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.11–2.23 Å. There are one shorter (2.19 Å) and one longer (2.30 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with f

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.11 Å) and two longer (2.20 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.18 Å. There are one shorter (2.22 Å) and one longer (2.24 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. There are one shorter (2.14 Å) and one longer (2.24 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.24 Å. There are one shorter (2.19 Å) and one longer (2.21 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.26 Å) and one longer (2.27 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.25 Å) and one longer (2.28 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are one shorter (2.24 Å) and one longer (2.25 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with four HfN3O3 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.21 Å) and one longer (2.28 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. The Hf–O bond length is 2.32 Å. In the eleventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Hf–N bond distances ranging from 2.12–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.16 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.14–2.26 Å. The Hf–O bond length is 2.23 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.22 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.22 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are one shorter (2.09 Å) and two longer (2.16 Å) Hf–N bond lengths. There are two shorter (2.15 Å) and one longer (2.23 Å) Hf–O bond lengths. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. The Hf–O bond length is 2.30 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with seven NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges wit

36 MATERIALS SCIENCE↗

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form TiN3O3 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Ti–N bond distances ranging from 1.95–1.99 Å. There are a spread of Ti–O bond distances ranging from 2.07–2.13 Å. In the second Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 pentagonal pyramids that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Ti–N bond distances ranging from 1.94–2.03 Å. There are a spread of Ti–O bond distances ranging from 2.04–2.15 Å. In the third Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN5O octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are one shorter (1.97 Å) and two longer (2.03 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 2.02–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN5O octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.11 Å) and one longer (2.16 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Ti–N bond distances ranging from 1.94–2.04 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 2.00–2.10 Å. The Ti–O bond length is 2.13 Å. In the seventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–N bond distances ranging from 1.99–2.06 Å. There are two shorter (2.03 Å) and one longer (2.08 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. There are one shorter (2.08 Å) and one longer (2.15 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. The Ti–O bond length is 2.12 Å. In the tenth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.10 Å. In the eleventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. There are one shorter (2.11 Å) and one longer (2.15 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. The Ti–O bond length is 2.17 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. There are one shorter (2.05 Å) and one longer (2.08 Å) Ti–O bond lengths. In the fourteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–N bond distances ranging from 2.00–2.06 Å. The Ti–O bond length is 2.12 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Ti–N bond distances ranging from 1.98–2.09 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing TiN6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Ti–N bond distances ranging from 2.05–2.10 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with six NTi4 trigonal

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Zr–N bond distances ranging from 2.13–2.25 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN3O3 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are one shorter (2.19 Å) and three longer (2.21 Å) Zr–N bond lengths. There are one shorter (2.20 Å) and one longer (2.21 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN3O3 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.19 Å. There are one shorter (2.33 Å) and one longer (2.35 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN3O3 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.21 Å. Both Zr–O bond lengths are 2.34 Å. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Zr–N bond distances ranging from 2.12–2.21 Å. Both Zr–O bond lengths are 2.28 Å. In the sixth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 pentagonal pyramids that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Zr–N bond distances ranging from 2.10–2.20 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.26 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN3O3 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.17–2.23 Å. Both Zr–O bond lengths are 2.19 Å. In the ninth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.15–2.26 Å. The Zr–O bond length is 2.36 Å. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN3O3 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.24 Å. Both Zr–O bond lengths are 2.29 Å. In the eleventh Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 pentagonal pyramids that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Zr–N bond distances ranging from 2.11–2.20 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.27 Å. In the twelfth Zr4+ site, Zr4+ is bonded to six N3- atoms to form distorted ZrN6 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Zr–N bond distances ranging from 2.19–2.28 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form distorted ZrN2O4 octahedra that share corners with four ZrN3O3 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are one shorter (2.11 Å) and one longer (2.16 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.13–2.23 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to six N3- atoms to form distorted ZrN6 octahedra that share corners with four ZrN3O3 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Zr–N bond distances ranging from 2.18–2.30 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN3O3 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Zr–N bond distances ranging from 2.14–2.23 Å. There are one shorter (2.28 Å) and one longer (2.31 Å) Zr–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with six NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with three NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with six NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with four NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with six NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with four NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 tetrahedra. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with six NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with three NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with six NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with four NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, edges with two NZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids t

36 MATERIALS SCIENCE↗

Materials Data on Sc2O3 by Materials Project

Sc2O3 crystallizes in the orthorhombic Pna2_1 space group. The structure is three-dimensional. there are four inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with two equivalent ScO6 octahedra, corners with three equivalent ScO4 tetrahedra, and edges with seven ScO6 octahedra. The corner-sharing octahedra tilt angles range from 12–49°. There are a spread of Sc–O bond distances ranging from 2.04–2.17 Å. In the second Sc3+ site, Sc3+ is bonded to four O2- atoms to form ScO4 tetrahedra that share corners with eight ScO6 octahedra and corners with two equivalent ScO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Sc–O bond distances ranging from 1.97–2.02 Å. In the third Sc3+ site, Sc3+ is bonded to six O2- atoms to form distorted ScO6 octahedra that share corners with four equivalent ScO6 octahedra, corners with four equivalent ScO4 tetrahedra, and edges with four ScO6 octahedra. The corner-sharing octahedra tilt angles range from 11–57°. There are a spread of Sc–O bond distances ranging from 2.02–2.47 Å. In the fourth Sc3+ site, Sc3+ is bonded to six O2- atoms to form distorted ScO6 octahedra that share corners with six ScO6 octahedra, a cornercorner with one ScO4 tetrahedra, and edges with five ScO6 octahedra. The corner-sharing octahedra tilt angles range from 11–57°. There are a spread of Sc–O bond distances ranging from 2.03–2.45 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share a cornercorner with one OSc5 square pyramid, corners with two equivalent OSc4 tetrahedra, edges with two equivalent OSc5 square pyramids, and an edgeedge with one OSc4 tetrahedra. In the second O2- site, O2- is bonded to five Sc3+ atoms to form OSc5 square pyramids that share corners with two OSc4 tetrahedra, edges with two equivalent OSc5 square pyramids, and edges with four OSc4 tetrahedra. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Sc3+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Sc3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Sc3+ atoms. In the sixth O2- site, O2- is bonded to four Sc3+ atoms to form distorted OSc4 tetrahedra that share a cornercorner with one OSc5 square pyramid, corners with four OSc4 tetrahedra, edges with two equivalent OSc5 square pyramids, and an edgeedge with one OSc4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. There are three shorter (2.20 Å) and one longer (2.21 Å) Zr–N bond lengths. Both Zr–O bond lengths are 2.21 Å. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.34 Å) and one longer (2.38 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.32 Å) and one longer (2.33 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are two shorter (2.18 Å) and two longer (2.22 Å) Zr–N bond lengths. There are one shorter (2.21 Å) and one longer (2.22 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Zr–N bond distances ranging from 2.10–2.21 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.27 Å. In the seventh Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–59°. There are one shorter (2.12 Å) and two longer (2.14 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.24–2.27 Å. In the eighth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.23 Å. There are two shorter (2.18 Å) and one longer (2.23 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.16–2.26 Å. The Zr–O bond length is 2.34 Å. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.24 Å. There are one shorter (2.26 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Zr–N bond distances ranging from 2.10–2.21 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.28 Å. In the twelfth Zr4+ site, Zr4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing ZrN6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.20–2.27 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.27 Å. The Zr–O bond length is 2.28 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Zr–N bond distances ranging from 2.16–2.20 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.27 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Zr–N bond distances ranging from 2.13–2.26 Å. The Zr–O bond length is 2.32 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of Zr–N bond distances ranging from 2.14–2.24 Å. There are one shorter (2.27 Å) and one longer (2.32 Å) Zr–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form d

36 MATERIALS SCIENCE↗

Materials Data on Li4V5Sb3O16 by Materials Project

Li4V5Sb3O16 is Spinel-derived structured and 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 four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra and corners with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are three shorter (2.06 Å) and one longer (2.11 Å) Li–O bond lengths. 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 1.77–2.07 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five SbO6 octahedra and corners with seven VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.99–2.14 Å. There are five inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of V–O bond distances ranging from 2.02–2.25 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of V–O bond distances ranging from 2.01–2.30 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of V–O bond distances ranging from 2.03–2.09 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, and edges with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of V–O bond distances ranging from 2.06–2.09 Å. In the fifth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, and edges with three VO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of V–O bond distances ranging from 2.06–2.12 Å. There are three inequivalent Sb1+ sites. In the first Sb1+ site, Sb1+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, and edges with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Sb–O bond distances ranging from 2.20–2.28 Å. In the second Sb1+ site, Sb1+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, and edges with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Sb–O bond distances ranging from 2.00–2.05 Å. In the third Sb1+ site, Sb1+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Sb–O bond distances ranging from 2.00–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Sb1+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Sb1+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Sb1+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, and two Sb1+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, two V5+, and one Sb1+ atom to form distorted OLiV2Sb tetrahedra that share corners with two equivalent OLiV3 tetrahedra, corners with five OLiV2Sb trigonal pyramids, and an edgeedge with one OLiV3 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Sb1+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two V5+, and one Sb1+ atom to form a mixture of distorted edge and corner-sharing OLiV2Sb tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two V5+, and one Sb1+ atom to form distorted OLiV2Sb trigonal pyramids that share a cornercorner with one OLiV2Sb tetrahedra, corners with two OLiV3 trigonal pyramids, and an edgeedge with one OLiV2Sb tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Sb1+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three V5+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, two V5+, and one Sb1+ atom to form distorted OLiV2Sb trigonal pyramids that share corners with three OLiV2Sb tetrahedra, a cornercorner with one OLiV3 trigonal pyramid, an edgeedge with one OLiV3 tetrahedra, and an edgeedge with one OLiV2Sb trigonal pyramid. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Sb1+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two V5+, and one Sb1+ atom to form distorted OLiV2Sb trigonal pyramids that share corners with four OLiV2Sb tetrahedra, corners with three OLiV2Sb trigonal pyramids, an edgeedge with one OLiV3 tetrahedra, and an edgeedge with one OLiV2Sb trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Sb1+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+ and three V5+ atoms to form distorted OLiV3 tetrahedra that share corners with two equivalent OLiV2Sb tetrahedra, corners with three OLiV3 trigonal pyramids, and edges with two OLiV2Sb trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Sb1+ atom.

36 MATERIALS SCIENCE↗