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DOE OSTI2020

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.13–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.26 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.28 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.09–2.19 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.22 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.10–2.21 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are three shorter (2.10 Å) and three longer (2.23 Å) Co–O bond lengths. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one 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 P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond di

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.15–2.27 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.31 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.11–2.25 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.23 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are three shorter (2.11 Å) and three longer (2.23 Å) Fe–O bond lengths. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Co–O bond distances ranging from 2.10–2.25 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.08–2.25 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.10–2.22 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 2.08–2.19 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one 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 P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one 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 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 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 1.55–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one FeO6 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 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2MnFe(PO4)2 by Materials Project

Li2MnFe(PO4)2 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent 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 2.11–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four 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 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the sixth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. There are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.13–2.28 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 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 second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one 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 third P5+ site, P5+ is bonded to four O2- 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 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one 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 sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 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 seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 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 tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners w

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiCuBO3 by Materials Project

LiCuBO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.17 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.13 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.05–2.41 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 square pyramids. There are a spread of Li–O bond distances ranging from 2.03–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. There are nine inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.51 Å. In the second Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.59 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.94–2.05 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.11 Å. In the fifth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two equivalent CuO4 tetrahedra, and corners with four LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.04 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.99–2.05 Å. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two equivalent CuO4 tetrahedra, and corners with four LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.03 Å. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two equivalent CuO4 tetrahedra, and corners with four LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.09 Å. In the ninth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.03 Å. There are nine inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.38 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, two Cu2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, two Cu2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted OLiCu2B tetrahedra that share corners with five OLiCu2B tetrahedra and corners with two equivalent OLi2CuB trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted OLiCu2B tetrahedra that share corners with three OLiCu2B tetrahedra and corners with two equivalent OLi2CuB trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li10Mn3Cr2Ni3O16 by Materials Project

Li10Cr2Mn3Ni3O16 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent NiO6 octahedra, and a faceface with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.09–2.37 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent NiO6 octahedra, corners with three equivalent LiO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–63°. There are a spread of Li–O bond distances ranging from 1.87–1.90 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.31 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent NiO6 octahedra, edges with four equivalent MnO6 octahedra, and a faceface with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.14–2.20 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.52 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three equivalent LiO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–63°. There are a spread of Li–O bond distances ranging from 1.83–1.92 Å. There are two inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent NiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–50°. There are a spread of Cr–O bond distances ranging from 2.04–2.07 Å. In the second Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent MnO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–53°. There are a spread of Cr–O bond distances ranging from 2.02–2.12 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 CrO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Mn–O bond distances ranging from 1.97–2.19 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, a cornercorner with one LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. There are two inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent CrO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ni–O bond distances ranging from 2.08–2.13 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent CrO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr5+, one Mn2+, and one Ni2+ atom. In the second O2- site, O2- is bonded to three Li1+, one Cr5+, and two equivalent Mn2+ atoms to form OLi3Mn2Cr octahedra that share edges with four equivalent OLi3MnCrNi octahedra and an edgeedge with one OLi3MnNi2 pentagonal pyramid. In the third O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn2+, and two equivalent Ni2+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two equivalent Mn2+, and one Ni2+ atom. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two equivalent Mn2+, and one Ni2+ atom. In the sixth O2- site, O2- is bonded to three Li1+, one Cr5+, one Mn2+, and one Ni2+ atom to form OLi3MnCrNi octahedra that share edges with four OLi3Mn2Cr octahedra and an edgeedge with one OLi3MnNi2 pentagonal pyramid. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr5+, and two equivalent Mn2+ atoms. In the eighth O2- site, O2- is bonded to three Li1+, one Cr5+, one Mn2+, and one Ni2+ atom to form OLi3MnCrNi octahedra that share edges with four OLi3MnCrNi octahedra and an edgeedge with one OLi3MnNi2 pentagonal pyramid. In the ninth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr5+, and two equivalent Ni2+ atoms. In the tenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Ni2+ atoms to form distorted edge-sharing OLi3MnNi2 pentagonal pyramids. In the eleventh O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr5+, one Mn2+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded to three Li1+, one Cr5+, and two equivalent Ni2+ atoms to form OLi3CrNi2 octahedra that share edges with four equivalent OLi3MnCrNi octahedra and an edgeedge with one OLi3MnNi2 pentagonal pyramid.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.27 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.10–2.26 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.11–2.23 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Co–O bond distances ranging from 2.11–2.23 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Co–O bond distances ranging from 2.10–2.24 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Co–O bond distances ranging from 2.09–2.24 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one 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 seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There a

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba4Sm2Cd3S10 by Materials Project

Ba4Sm2Cd3S10 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.17–3.68 Å. In the second Ba2+ site, Ba2+ is bonded to seven S2- atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent SmS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, edges with three SmS6 octahedra, edges with three equivalent BaS7 pentagonal bipyramids, edges with two equivalent CdS4 tetrahedra, edges with two equivalent CdS4 trigonal pyramids, and faces with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 16°. There are a spread of Ba–S bond distances ranging from 3.13–3.33 Å. In the third Ba2+ site, Ba2+ is bonded to seven S2- atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent SmS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 tetrahedra, corners with five CdS4 trigonal pyramids, edges with three SmS6 octahedra, edges with three equivalent BaS7 pentagonal bipyramids, an edgeedge with one CdS4 trigonal pyramid, and faces with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ba–S bond distances ranging from 3.18–3.38 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.15–3.59 Å. There are two inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six S2- atoms to form SmS6 octahedra that share corners with two equivalent BaS7 pentagonal bipyramids, edges with two equivalent SmS6 octahedra, edges with three BaS7 pentagonal bipyramids, and edges with four CdS4 trigonal pyramids. There are a spread of Sm–S bond distances ranging from 2.80–2.88 Å. In the second Sm3+ site, Sm3+ is bonded to six S2- atoms to form SmS6 octahedra that share corners with two equivalent BaS7 pentagonal bipyramids, corners with three equivalent CdS4 tetrahedra, edges with two equivalent SmS6 octahedra, and edges with three BaS7 pentagonal bipyramids. There are a spread of Sm–S bond distances ranging from 2.81–2.85 Å. There are three inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three equivalent SmS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 tetrahedra, a cornercorner with one CdS4 trigonal pyramid, and edges with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 5–72°. There are a spread of Cd–S bond distances ranging from 2.49–2.71 Å. In the second Cd2+ site, Cd2+ is bonded to four S2- atoms to form distorted CdS4 trigonal pyramids that share corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent SmS6 octahedra, and an edgeedge with one BaS7 pentagonal bipyramid. There are a spread of Cd–S bond distances ranging from 2.46–2.74 Å. In the third Cd2+ site, Cd2+ is bonded to four S2- atoms to form distorted CdS4 trigonal pyramids that share corners with three equivalent BaS7 pentagonal bipyramids, a cornercorner with one CdS4 tetrahedra, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent SmS6 octahedra, and edges with two equivalent BaS7 pentagonal bipyramids. There are a spread of Cd–S bond distances ranging from 2.55–2.70 Å. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded to three Ba2+ and two equivalent Sm3+ atoms to form distorted SBa3Sm2 trigonal bipyramids that share corners with six SBa4Cd square pyramids, edges with two equivalent SBa4SmCd octahedra, edges with two SBa3Sm2 square pyramids, and edges with two equivalent SBa3Sm2 trigonal bipyramids. In the second S2- site, S2- is bonded to three Ba2+ and two equivalent Sm3+ atoms to form distorted SBa3Sm2 square pyramids that share corners with four equivalent SBa4Cd2 octahedra, corners with two equivalent SBa2SmCd2 square pyramids, corners with two equivalent SBa3Sm2 trigonal bipyramids, edges with five SBa4Cd2 octahedra, edges with three SBa3Sm2 square pyramids, and an edgeedge with one SBa3Sm2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–51°. In the third S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one Sm3+, and two equivalent Cd2+ atoms. In the fourth S2- site, S2- is bonded to two equivalent Ba2+, one Sm3+, and two equivalent Cd2+ atoms to form distorted SBa2SmCd2 square pyramids that share corners with two equivalent SBa4Cd2 octahedra, corners with four SBa3Sm2 square pyramids, edges with three SBa4Cd2 octahedra, and edges with three SBa3Sm2 square pyramids. The corner-sharing octahedral tilt angles are 54°. In the fifth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two Ba2+, one Sm3+, and two equivalent Cd2+ atoms. In the sixth S2- site, S2- is bonded to four Ba2+ and one Cd2+ atom to form distorted SBa4Cd square pyramids that share corners with two equivalent SBa4SmCd octahedra, corners with two equivalent SBa2SmCd2 square pyramids, corners with four equivalent SBa3Sm2 trigonal bipyramids, an edgeedge with one SBa4SmCd octahedra, edges with two equivalent SBa4Cd square pyramids, and an edgeedge with one SBa3Sm2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 40°. In the seventh S2- site, S2- is bonded to four Ba2+ and two Cd2+ atoms to form distorted SBa4Cd2 octahedra that share corners with six SBa4SmCd octahedra, corners with six SBa3Sm2 square pyramids, edges with two equivalent SBa4Cd2 octahedra, edges with two SBa2SmCd2 square pyramids, and faces with two SBa4SmCd octahedra. The corner-sharing octahedra tilt angles range from 41–58°. In the eighth S2- site, S2- is bonded to four Ba2+, one Sm3+, and one Cd2+ atom to form SBa4SmCd octahedra that share corners with four SBa4Cd2 octahedra, corners with two equivalent SBa4Cd square pyramids, edges with three SBa4SmCd octahedra, edges with three SBa3Sm2 square pyramids, edges with two equivalent SBa3Sm2 trigonal bipyramids, and a faceface with one SBa4Cd2 octahedra. The corner-sharing octahedra tilt angles range from 21–54°. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to three Ba2+, two equivalent Sm3+, and one Cd2+ atom. In the tenth S2- site, S2- is bonded to three Ba2+, two equivalent Sm3+, and one Cd2+ atom to form SBa3Sm2Cd octahedra that share corners with six SBa4Cd2 octahedra, edges with three SBa4SmCd octahedra, edges with four SBa3Sm2 square pyramids, and a faceface with one SBa4Cd2 octahedra. The corner-sharing octahedra tilt angles range from 21–58°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba4Tb2Cd3S10 by Materials Project

Ba4Tb2Cd3S10 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.16–3.76 Å. In the second Ba2+ site, Ba2+ is bonded to seven S2- atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent TbS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, edges with three TbS6 octahedra, edges with three equivalent BaS7 pentagonal bipyramids, edges with two equivalent CdS4 tetrahedra, edges with two equivalent CdS4 trigonal pyramids, and faces with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 16°. There are a spread of Ba–S bond distances ranging from 3.11–3.33 Å. In the third Ba2+ site, Ba2+ is bonded to seven S2- atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent TbS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 tetrahedra, corners with five CdS4 trigonal pyramids, edges with three TbS6 octahedra, edges with three equivalent BaS7 pentagonal bipyramids, an edgeedge with one CdS4 trigonal pyramid, and faces with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ba–S bond distances ranging from 3.17–3.36 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.14–3.57 Å. There are two inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded to six S2- atoms to form TbS6 octahedra that share corners with two equivalent BaS7 pentagonal bipyramids, edges with two equivalent TbS6 octahedra, edges with three BaS7 pentagonal bipyramids, and edges with four CdS4 trigonal pyramids. There are a spread of Tb–S bond distances ranging from 2.77–2.84 Å. In the second Tb3+ site, Tb3+ is bonded to six S2- atoms to form TbS6 octahedra that share corners with two equivalent BaS7 pentagonal bipyramids, corners with three equivalent CdS4 tetrahedra, edges with two equivalent TbS6 octahedra, and edges with three BaS7 pentagonal bipyramids. There are a spread of Tb–S bond distances ranging from 2.77–2.81 Å. There are three inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three equivalent TbS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 tetrahedra, a cornercorner with one CdS4 trigonal pyramid, and edges with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 6–70°. There are a spread of Cd–S bond distances ranging from 2.48–2.72 Å. In the second Cd2+ site, Cd2+ is bonded to four S2- atoms to form distorted CdS4 trigonal pyramids that share corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent TbS6 octahedra, and an edgeedge with one BaS7 pentagonal bipyramid. There are a spread of Cd–S bond distances ranging from 2.46–2.73 Å. In the third Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 trigonal pyramids that share corners with three equivalent BaS7 pentagonal bipyramids, a cornercorner with one CdS4 tetrahedra, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent TbS6 octahedra, and edges with two equivalent BaS7 pentagonal bipyramids. There are a spread of Cd–S bond distances ranging from 2.55–2.70 Å. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded to three Ba2+ and two equivalent Tb3+ atoms to form distorted SBa3Tb2 trigonal bipyramids that share corners with six SBa4Cd square pyramids, edges with two equivalent SBa4TbCd octahedra, edges with two SBa3Tb2 square pyramids, and edges with two equivalent SBa3Tb2 trigonal bipyramids. In the second S2- site, S2- is bonded to three Ba2+ and two equivalent Tb3+ atoms to form distorted SBa3Tb2 square pyramids that share corners with four equivalent SBa4Cd2 octahedra, corners with two equivalent SBa2TbCd2 square pyramids, corners with two equivalent SBa3Tb2 trigonal bipyramids, edges with five SBa4Cd2 octahedra, edges with three SBa3Tb2 square pyramids, and an edgeedge with one SBa3Tb2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–50°. In the third S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one Tb3+, and two equivalent Cd2+ atoms. In the fourth S2- site, S2- is bonded to two equivalent Ba2+, one Tb3+, and two equivalent Cd2+ atoms to form distorted SBa2TbCd2 square pyramids that share corners with two equivalent SBa4Cd2 octahedra, corners with four SBa3Tb2 square pyramids, edges with three SBa4Cd2 octahedra, and edges with three SBa3Tb2 square pyramids. The corner-sharing octahedral tilt angles are 54°. In the fifth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two Ba2+, one Tb3+, and two equivalent Cd2+ atoms. In the sixth S2- site, S2- is bonded to four Ba2+ and one Cd2+ atom to form distorted SBa4Cd square pyramids that share corners with two equivalent SBa4TbCd octahedra, corners with two equivalent SBa2TbCd2 square pyramids, corners with four equivalent SBa3Tb2 trigonal bipyramids, an edgeedge with one SBa4TbCd octahedra, edges with two equivalent SBa4Cd square pyramids, and an edgeedge with one SBa3Tb2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 41°. In the seventh S2- site, S2- is bonded to four Ba2+ and two Cd2+ atoms to form distorted SBa4Cd2 octahedra that share corners with six SBa4TbCd octahedra, corners with six SBa3Tb2 square pyramids, edges with two equivalent SBa4Cd2 octahedra, edges with two SBa2TbCd2 square pyramids, and faces with two SBa4TbCd octahedra. The corner-sharing octahedra tilt angles range from 41–59°. In the eighth S2- site, S2- is bonded to four Ba2+, one Tb3+, and one Cd2+ atom to form SBa4TbCd octahedra that share corners with four SBa4Cd2 octahedra, corners with two equivalent SBa4Cd square pyramids, edges with three SBa4TbCd octahedra, edges with three SBa3Tb2 square pyramids, edges with two equivalent SBa3Tb2 trigonal bipyramids, and a faceface with one SBa4Cd2 octahedra. The corner-sharing octahedra tilt angles range from 21–54°. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to three Ba2+, two equivalent Tb3+, and one Cd2+ atom. In the tenth S2- site, S2- is bonded to three Ba2+, two equivalent Tb3+, and one Cd2+ atom to form distorted SBa3Tb2Cd octahedra that share corners with six SBa4Cd2 octahedra, edges with three SBa4TbCd octahedra, edges with four SBa3Tb2 square pyramids, and a faceface with one SBa4Cd2 octahedra. The corner-sharing octahedra tilt angles range from 21–59°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba4Gd2Cd3S10 by Materials Project

Ba4Gd2Cd3S10 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to seven S2- atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent GdS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, edges with three GdS6 octahedra, edges with three equivalent BaS7 pentagonal bipyramids, edges with two equivalent CdS4 tetrahedra, edges with two equivalent CdS4 trigonal pyramids, and faces with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 16°. There are a spread of Ba–S bond distances ranging from 3.12–3.34 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.16–3.66 Å. In the third Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.14–3.58 Å. In the fourth Ba2+ site, Ba2+ is bonded to seven S2- atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent GdS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 tetrahedra, corners with five CdS4 trigonal pyramids, edges with three GdS6 octahedra, edges with three equivalent BaS7 pentagonal bipyramids, an edgeedge with one CdS4 trigonal pyramid, and faces with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 20°. There are a spread of Ba–S bond distances ranging from 3.18–3.34 Å. There are two inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six S2- atoms to form GdS6 octahedra that share corners with two equivalent BaS7 pentagonal bipyramids, corners with three equivalent CdS4 tetrahedra, edges with two equivalent GdS6 octahedra, and edges with three BaS7 pentagonal bipyramids. There are a spread of Gd–S bond distances ranging from 2.78–2.82 Å. In the second Gd3+ site, Gd3+ is bonded to six S2- atoms to form GdS6 octahedra that share corners with two equivalent BaS7 pentagonal bipyramids, edges with two equivalent GdS6 octahedra, edges with three BaS7 pentagonal bipyramids, and edges with four CdS4 trigonal pyramids. There are a spread of Gd–S bond distances ranging from 2.78–2.86 Å. There are three inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three equivalent GdS6 octahedra, corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 tetrahedra, a cornercorner with one CdS4 trigonal pyramid, and edges with two equivalent BaS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 5–72°. There are a spread of Cd–S bond distances ranging from 2.49–2.71 Å. In the second Cd2+ site, Cd2+ is bonded to four S2- atoms to form distorted CdS4 trigonal pyramids that share corners with two equivalent BaS7 pentagonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent GdS6 octahedra, and an edgeedge with one BaS7 pentagonal bipyramid. There are a spread of Cd–S bond distances ranging from 2.45–2.73 Å. In the third Cd2+ site, Cd2+ is bonded to four S2- atoms to form distorted CdS4 trigonal pyramids that share corners with three equivalent BaS7 pentagonal bipyramids, a cornercorner with one CdS4 tetrahedra, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent GdS6 octahedra, and edges with two equivalent BaS7 pentagonal bipyramids. There are a spread of Cd–S bond distances ranging from 2.55–2.72 Å. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded to three Ba2+ and two equivalent Gd3+ atoms to form distorted SBa3Gd2 trigonal bipyramids that share corners with six SBa4Cd square pyramids, edges with two equivalent SBa4GdCd octahedra, edges with two SBa3Gd2 square pyramids, and edges with two equivalent SBa3Gd2 trigonal bipyramids. In the second S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one Gd3+, and two equivalent Cd2+ atoms. In the third S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two Ba2+, one Gd3+, and two equivalent Cd2+ atoms. In the fourth S2- site, S2- is bonded to three Ba2+ and two equivalent Gd3+ atoms to form distorted SBa3Gd2 square pyramids that share corners with four equivalent SBa4Cd2 octahedra, corners with two equivalent SBa3Gd2 trigonal bipyramids, edges with five SBa4GdCd octahedra, edges with two equivalent SBa3Gd2 square pyramids, and an edgeedge with one SBa3Gd2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–51°. In the fifth S2- site, S2- is bonded to four Ba2+, one Gd3+, and one Cd2+ atom to form SBa4GdCd octahedra that share corners with four SBa4Cd2 octahedra, corners with two equivalent SBa4Cd square pyramids, edges with three SBa4GdCd octahedra, edges with three SBa3Gd2 square pyramids, edges with two equivalent SBa3Gd2 trigonal bipyramids, and a faceface with one SBa4Cd2 octahedra. The corner-sharing octahedra tilt angles range from 21–54°. In the sixth S2- site, S2- is bonded to four Ba2+ and two Cd2+ atoms to form distorted SBa4Cd2 octahedra that share corners with six SBa4GdCd octahedra, corners with four equivalent SBa3Gd2 square pyramids, edges with two equivalent SBa4Cd2 octahedra, an edgeedge with one SBa3Gd2 square pyramid, and faces with two SBa4GdCd octahedra. The corner-sharing octahedra tilt angles range from 41–59°. In the seventh S2- site, S2- is bonded to four Ba2+ and one Cd2+ atom to form distorted SBa4Cd square pyramids that share corners with two equivalent SBa4GdCd octahedra, corners with four equivalent SBa3Gd2 trigonal bipyramids, an edgeedge with one SBa4GdCd octahedra, edges with two equivalent SBa4Cd square pyramids, and an edgeedge with one SBa3Gd2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 40°. In the eighth S2- site, S2- is bonded to three Ba2+, two equivalent Gd3+, and one Cd2+ atom to form SBa3Gd2Cd octahedra that share corners with six SBa4GdCd octahedra, edges with three SBa4GdCd octahedra, edges with two equivalent SBa3Gd2 square pyramids, and a faceface with one SBa4Cd2 octahedra. The corner-sharing octahedra tilt angles range from 21–59°. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to three Ba2+, two equivalent Gd3+, and one Cd2+ atom. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one Gd3+, and two equivalent Cd2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Fe–O bond distances ranging from 2.09–2.18 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.22 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.11–2.22 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.09–2.22 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.21 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.22 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 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 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four FeO6 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 fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one 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 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bo

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbNaMg14O15 by Materials Project

RbNaMg14O15 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.52–2.72 Å. Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four MgO5 square pyramids, corners with two equivalent NaO5 trigonal bipyramids, corners with three MgO5 trigonal bipyramids, and edges with four equivalent MgO5 square pyramids. There are a spread of Na–O bond distances ranging from 2.17–2.48 Å. There are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO6 octahedra, a cornercorner with one NaO5 trigonal bipyramid, corners with four MgO5 trigonal bipyramids, edges with four equivalent MgO6 octahedra, and edges with four MgO5 square pyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of Mg–O bond distances ranging from 2.03–2.10 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, edges with six MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with four MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. There are a spread of Mg–O bond distances ranging from 1.98–2.20 Å. In the third Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share a cornercorner with one MgO6 octahedra, corners with four equivalent MgO5 square pyramids, an edgeedge with one MgO6 octahedra, edges with two equivalent NaO5 trigonal bipyramids, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°. There are a spread of Mg–O bond distances ranging from 2.07–2.29 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four equivalent MgO6 octahedra, a cornercorner with one MgO5 square pyramid, edges with three MgO6 octahedra, edges with three MgO5 square pyramids, and edges with five MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–23°. There are a spread of Mg–O bond distances ranging from 2.02–2.44 Å. In the fifth Mg2+ site, Mg2+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.96 Å) and two longer (2.01 Å) Mg–O bond length. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, a cornercorner with one MgO5 trigonal bipyramid, edges with four MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with four equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 15°. There are a spread of Mg–O bond distances ranging from 1.97–2.34 Å. In the seventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent MgO5 square pyramids, corners with two equivalent NaO5 trigonal bipyramids, corners with two equivalent MgO5 trigonal bipyramids, edges with two equivalent MgO6 octahedra, edges with four equivalent MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the eighth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share a cornercorner with one MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, edges with four MgO6 octahedra, and edges with four equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.06–2.10 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted MgO5 trigonal bipyramids that share a cornercorner with one MgO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, corners with four MgO5 trigonal bipyramids, edges with five MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. There are a spread of Mg–O bond distances ranging from 1.94–2.32 Å. In the tenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO5 square pyramids, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one MgO5 trigonal bipyramid, edges with three MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with three MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share a cornercorner with one ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with four ORb2Mg3 trigonal bipyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with four ONaMg5 octahedra, corners with four ORbNaMg3 trigonal bipyramids, edges with two equivalent OMg6 octahedra, edges with four equivalent OMg5 square pyramids, and edges with two equivalent OMg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 4°. In the third O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with four ONaMg5 octahedra, a cornercorner with one OMg5 square pyramid, corners with four ORb2Mg3 trigonal bipyramids, edges with four OMg6 octahedra, and edges with four equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form distorted OMg6 octahedra that share corners with four equivalent OMg6 octahedra, a cornercorner with one OMg5 square pyramid, a cornercorner with one OMg5 trigonal bipyramid, edges with three OMg6 octahedra, edges with two equivalent OMg5 square pyramids, and edges with four ONa2Mg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–46°. In the fifth O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share a cornercorner with one OMg6 octahedra, corners with four equivalent OMg5 square pyramids, edges with seven ONaMg5 octahedra, and an edgeedge with one OMg5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 1°. In the sixth O2- site, O2- is bonded to two equivalent Na1+ and three Mg2+ atoms to form distorted ONa2Mg3 trigonal bipyramids that share corners with two equivalent ONaMg5 octahedra, corners with four ORb2Mg3 trigonal bipyramids, edges with two equivalent OMg6 octahedra, and edges with four equivalent ORbNaMg3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 76°. In the seventh O2- site, O2- is bonded to two equivalent Rb1+ and three Mg2+ atoms to form distorted ORb2Mg3 trigonal bipyramids that share corners with three ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with four ONa2Mg3 trigonal bipyramids, edges with two equivalent OMg6 octahedra, and edges with four equivalent ORbNaMg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–57°. In the eighth O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share corners with four OMg6 octahedra, corners with two equivalent OMg5 trigonal bipyramids, edges with six ONaMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 12–82°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with two equivalent OMg6 octahedra, corners with three ORb2Mg3 trigonal bipyramids, edges with eight ORbMg5 octahedra, and edges with four OMg5 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the tenth O2- site, O2- is bonded to one Rb1+, one Na1+, and three Mg2+ atoms to form distorted ORbNaMg3 trigonal bipyramids that share corners with three ONaMg5 octahedra, a cornercorner with one OMg5 square pyramid, corners with four equivalent ORbNaMg3 trigonal bipyramids, edges with two equivalent OMg6 octahedra, and edges with four ORb2Mg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 18–59°. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four equivalent OMg6 octahedra, a cornercorner with one ORbNaMg3 trigonal bipyramid, edges with six ONaMg5 octahedra, edges with three OMg5 square pyramids, and edges with two equivalent OMg5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–21°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr4CeSm3Nb2(CuO5)4 by Materials Project

Sr4Sm3CeNb2(CuO5)4 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four equivalent NbO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.80–2.97 Å. In the second Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.67–3.17 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four equivalent NbO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.80–3.03 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are four shorter (2.65 Å) and four longer (2.83 Å) Sr–O bond lengths. There are three inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.31 Å) and four longer (2.67 Å) Sm–O bond lengths. In the second Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.39 Å) and four longer (2.53 Å) Sm–O bond lengths. In the third Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.31 Å) and four longer (2.68 Å) Sm–O bond lengths. Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.31 Å) and four longer (2.53 Å) Ce–O bond lengths. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four equivalent NbO6 octahedra, corners with two CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There is five shorter (1.97 Å) and one longer (2.02 Å) Nb–O bond length. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four equivalent NbO6 octahedra, corners with two CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Nb–O bond distances ranging from 1.95–2.04 Å. There are four inequivalent Cu+2.25+ sites. In the first Cu+2.25+ site, Cu+2.25+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.98 Å) and one longer (2.16 Å) Cu–O bond lengths. In the second Cu+2.25+ site, Cu+2.25+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one NbO6 octahedra and corners with four equivalent CuO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.97 Å) and one longer (2.18 Å) Cu–O bond lengths. In the third Cu+2.25+ site, Cu+2.25+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.98 Å) and one longer (2.16 Å) Cu–O bond lengths. In the fourth Cu+2.25+ site, Cu+2.25+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one NbO6 octahedra and corners with four equivalent CuO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.97 Å) and one longer (2.22 Å) Cu–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Sm3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OCe2Sm2 tetrahedra. In the second O2- site, O2- is bonded to four Sm3+ atoms to form OSm4 tetrahedra that share corners with twelve OSr2Sm2Cu2 octahedra, corners with four equivalent OSm4 tetrahedra, edges with two OSr2Sm2Cu2 octahedra, and edges with four equivalent OSm4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–69°. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Ce4+, and two equivalent Cu+2.25+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.25+ atoms to form distorted OSr2Sm2Cu2 octahedra that share corners with two equivalent OSr2Sm2Cu2 octahedra, corners with six equivalent OSm4 tetrahedra, edges with two equivalent OSr2Sm2Cu2 octahedra, an edgeedge with one OSm4 tetrahedra, and faces with four equivalent OSr2Sm2Cu2 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.25+ atoms. In the sixth O2- site, O2- is bonded to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.25+ atoms to form distorted OSr2Sm2Cu2 octahedra that share corners with two equivalent OSr2Sm2Cu2 octahedra, corners with six equivalent OSm4 tetrahedra, edges with two equivalent OSr2Sm2Cu2 octahedra, an edgeedge with one OSm4 tetrahedra, and faces with four equivalent OSr2Sm2Cu2 octahedra. The corner-sharing octahedral tilt angles are 3°. In the seventh O2- site, O2- is bonded in a linear geometry to four Sr2+ and two equivalent Nb5+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two equivalent Sr2+ and two equivalent Nb5+ atoms. In the ninth O2- site, O2- is bonded to four equivalent Sr2+, one Nb5+, and one Cu+2.25+ atom to form a mixture of distorted edge and corner-sharing OSr4NbCu octahedra. The corner-sharing octahedral tilt angles are 10°. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to four equivalent Sr2+, one Nb5+, and one Cu+2.25+ atom. In the eleventh O2- site, O2- is bonded to four equivalent Sr2+, one Nb5+, and one Cu+2.25+ atom to form a mixture of distorted edge and corner-sharing OSr4NbCu octahedra. The corner-sharing octahedral tilt angles are 13°. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four equivalent Sr2+, one Nb5+, and one Cu+2.25+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaMg6Nb by Materials Project

NaMg6Nb is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Na is bonded to ten Mg and two equivalent Nb atoms to form NaMg10Nb2 cuboctahedra that share corners with four equivalent MgNa2Mg10 cuboctahedra, corners with six equivalent NaMg10Nb2 cuboctahedra, edges with four equivalent NbNa2Mg10 cuboctahedra, edges with ten MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with twelve MgNa2Mg10 cuboctahedra. There are a spread of Na–Mg bond distances ranging from 3.06–3.27 Å. Both Na–Nb bond lengths are 3.23 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. Both Mg–Nb bond lengths are 3.04 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. Both Mg–Nb bond lengths are 3.04 Å. In the third Mg site, Mg is bonded to two equivalent Na and ten Mg atoms to form MgNa2Mg10 cuboctahedra that share corners with four equivalent NaMg10Nb2 cuboctahedra, corners with six equivalent MgNa2Mg10 cuboctahedra, edges with two equivalent NaMg10Nb2 cuboctahedra, edges with twelve MgNa2Mg8Nb2 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with six equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are four shorter (3.15 Å) and three longer (3.16 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.21 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. In the fifth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. Both Mg–Na bond lengths are 3.15 Å. There are a spread of Mg–Mg bond distances ranging from 3.13–3.21 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, faces with six equivalent NaMg10Nb2 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are two shorter (3.17 Å) and one longer (3.20 Å) Mg–Mg bond lengths. Both Mg–Nb bond lengths are 3.20 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. Both Mg–Mg bond lengths are 3.18 Å. Both Mg–Nb bond lengths are 3.04 Å. In the eighth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. Nb is bonded to two equivalent Na and ten Mg atoms to form NbNa2Mg10 cuboctahedra that share corners with six equivalent NbNa2Mg10 cuboctahedra, corners with twelve MgNa2Mg8Nb2 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with six MgNa2Mg8Nb2 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with twelve MgNa2Mg10 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sm3Mg21Sb16 by Materials Project

Mg21Sm3Sb16 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are eleven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six equivalent Sb3- atoms to form MgSb6 octahedra that share corners with twelve MgSb4 tetrahedra, edges with six equivalent MgSb6 octahedra, and edges with six MgSb4 tetrahedra. All Mg–Sb bond lengths are 3.13 Å. In the second Mg2+ site, Mg2+ is bonded to six Sb3- atoms to form MgSb6 octahedra that share corners with twelve MgSb4 tetrahedra, edges with six equivalent MgSb6 octahedra, and edges with six MgSb4 tetrahedra. There are three shorter (3.09 Å) and three longer (3.16 Å) Mg–Sb bond lengths. In the third Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with three equivalent MgSb6 octahedra, corners with three equivalent SmSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent SmSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–59°. There are three shorter (2.86 Å) and one longer (2.90 Å) Mg–Sb bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with three equivalent MgSb6 octahedra, corners with three equivalent SmSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent SmSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–59°. There are three shorter (2.86 Å) and one longer (2.90 Å) Mg–Sb bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with three equivalent MgSb6 octahedra, corners with three equivalent SmSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent SmSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–58°. All Mg–Sb bond lengths are 2.87 Å. In the sixth Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with six MgSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent MgSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–60°. There are three shorter (2.87 Å) and one longer (2.97 Å) Mg–Sb bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six equivalent Sb3- atoms to form MgSb6 octahedra that share corners with twelve MgSb4 tetrahedra, edges with six equivalent MgSb6 octahedra, and edges with six equivalent MgSb4 tetrahedra. All Mg–Sb bond lengths are 3.21 Å. In the eighth Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with three equivalent MgSb6 octahedra, corners with three equivalent SmSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent MgSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–56°. There are three shorter (2.84 Å) and one longer (2.97 Å) Mg–Sb bond lengths. In the ninth Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with three equivalent MgSb6 octahedra, corners with three equivalent SmSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent MgSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–56°. There are three shorter (2.84 Å) and one longer (2.97 Å) Mg–Sb bond lengths. In the tenth Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with three equivalent MgSb6 octahedra, corners with three equivalent SmSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent MgSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–56°. There are three shorter (2.83 Å) and one longer (2.98 Å) Mg–Sb bond lengths. In the eleventh Mg2+ site, Mg2+ is bonded to four Sb3- atoms to form MgSb4 tetrahedra that share corners with six MgSb6 octahedra, corners with six equivalent MgSb4 tetrahedra, edges with three equivalent MgSb6 octahedra, and edges with three equivalent MgSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–57°. There are three shorter (2.87 Å) and one longer (2.97 Å) Mg–Sb bond lengths. There are two inequivalent Sm2+ sites. In the first Sm2+ site, Sm2+ is bonded to six Sb3- atoms to form SmSb6 octahedra that share corners with twelve MgSb4 tetrahedra, edges with six equivalent SmSb6 octahedra, and edges with six MgSb4 tetrahedra. There are three shorter (3.23 Å) and three longer (3.24 Å) Sm–Sb bond lengths. In the second Sm2+ site, Sm2+ is bonded to six equivalent Sb3- atoms to form SmSb6 octahedra that share corners with twelve MgSb4 tetrahedra, edges with six equivalent SmSb6 octahedra, and edges with six equivalent MgSb4 tetrahedra. All Sm–Sb bond lengths are 3.24 Å. There are seven inequivalent Sb3- sites. In the first Sb3- site, Sb3- is bonded in a 7-coordinate geometry to seven Mg2+ atoms. In the second Sb3- site, Sb3- is bonded in a 7-coordinate geometry to seven Mg2+ atoms. In the third Sb3- site, Sb3- is bonded to seven Mg2+ atoms to form distorted edge-sharing SbMg7 pentagonal bipyramids. In the fourth Sb3- site, Sb3- is bonded to four Mg2+ and three equivalent Sm2+ atoms to form a mixture of distorted corner and edge-sharing SbSm3Mg4 pentagonal bipyramids. In the fifth Sb3- site, Sb3- is bonded to four Mg2+ and three equivalent Sm2+ atoms to form a mixture of distorted corner and edge-sharing SbSm3Mg4 pentagonal bipyramids. In the sixth Sb3- site, Sb3- is bonded to four Mg2+ and three equivalent Sm2+ atoms to form a mixture of distorted corner and edge-sharing SbSm3Mg4 pentagonal bipyramids. In the seventh Sb3- site, Sb3- is bonded to seven Mg2+ atoms to form a mixture of distorted corner and edge-sharing SbMg7 pentagonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.13–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.13–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.02–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.05–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.11–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Li–O bond distances ranging from 2.12–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 1.96–2.25 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are four shorter (1.97 Å) and two longer (2.24 Å) Mn–O bond lengths. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Co–O bond distances ranging from 1.92–2.18 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.98–2.12 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Co–O bond distances ranging from 1.99–2.10 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Co–O bond distances ranging from 2.02–2.11 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn2+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn2+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to six Li1+ atoms to form a mixture of corner and edge-sharing OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn2+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the tenth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the twelfth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourteenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K3Ba7Ti10(O9F)3 by Materials Project

K3Ba7Ti10(O9F)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to eight O2- and four equivalent F1- atoms to form KO8F4 cuboctahedra that share corners with four equivalent KO8F4 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two BaO12 cuboctahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with eight TiO5F octahedra. There are four shorter (2.87 Å) and four longer (2.89 Å) K–O bond lengths. All K–F bond lengths are 2.82 Å. In the second K1+ site, K1+ is bonded to eight O2- and four equivalent F1- atoms to form KO8F4 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO8F4 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five KO8F4 cuboctahedra, and faces with eight TiO5F octahedra. There are four shorter (2.84 Å) and four longer (2.91 Å) K–O bond lengths. All K–F bond lengths are 2.82 Å. In the third K1+ site, K1+ is bonded to eight O2- and four equivalent F1- atoms to form KO8F4 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO8F4 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five KO8F4 cuboctahedra, and faces with eight TiO4F2 octahedra. There are four shorter (2.83 Å) and four longer (2.92 Å) K–O bond lengths. All K–F bond lengths are 2.82 Å. There are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent KO8F4 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one KO8F4 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.89 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent KO8F4 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one KO8F4 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.89 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO8F4 cuboctahedra, faces with two KO8F4 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight TiO5F octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.84 Å. There are ten inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.00 Å) and two longer (2.04 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.00 Å) and two longer (2.04 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 2.00–2.06 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the sixth Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO5F octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is one shorter (1.95 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.14 Å. In the seventh Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO5F octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is one shorter (1.96 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO5F octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is one shorter (1.96 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.12 Å. In the ninth Ti4+ site, Ti4+ is bonded to four equivalent O2- and two F1- atoms to form TiO4F2 octahedra that share corners with six TiO5F octahedra and faces with eight KO8F4 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–O bond lengths are 2.00 Å. Both Ti–F bond lengths are 2.05 Å. In the tenth Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO4F2 octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There is one shorter (1.95 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.15 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded to four equivalent K1+ and two Ti4+ atoms to form a mixture of distorted corner and edge-sharing FK4Ti2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second F1- site, F1- is bonded in a distorted linear geometry to four equivalent K1+ and two Ti4+ atoms. In the third F1- site, F1- is bonded in a distorted linear geometry to four equivalent K1+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–70°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 2.13–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–70°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.27 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.27 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of Fe–O bond distances ranging from 2.10–2.26 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.08–2.18 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Co–O bond distances ranging from 2.08–2.23 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.07–2.19 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.08–2.24 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 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 fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 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 seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the ninth P5+ site, P5+ is bond

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca11Tl9O24 by Materials Project

Ca11Tl9O24 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are eleven inequivalent Ca sites. In the first Ca site, Ca is bonded to seven O atoms to form distorted CaO7 pentagonal bipyramids that share corners with four CaO6 octahedra, corners with four TlO6 octahedra, edges with three CaO6 octahedra, and edges with four equivalent TlO6 octahedra. The corner-sharing octahedra tilt angles range from 18–72°. There are a spread of Ca–O bond distances ranging from 2.45–2.64 Å. In the second Ca site, Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.73 Å. In the third Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one TlO6 octahedra, corners with three CaO6 octahedra, edges with three equivalent CaO6 octahedra, and edges with six TlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. There are a spread of Ca–O bond distances ranging from 2.34–2.53 Å. In the fourth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with four CaO6 octahedra, edges with three equivalent CaO6 octahedra, and edges with six TlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. There are a spread of Ca–O bond distances ranging from 2.35–2.48 Å. In the fifth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, corners with two equivalent CaO7 pentagonal bipyramids, edges with two equivalent CaO6 octahedra, and edges with four TlO6 octahedra. The corner-sharing octahedra tilt angles range from 8–64°. There are a spread of Ca–O bond distances ranging from 2.34–2.53 Å. In the sixth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, edges with two equivalent CaO6 octahedra, edges with four TlO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 7–63°. There are a spread of Ca–O bond distances ranging from 2.33–2.53 Å. In the seventh Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, edges with six TlO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 7–64°. There are a spread of Ca–O bond distances ranging from 2.33–2.54 Å. In the eighth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with four CaO6 octahedra, edges with three equivalent CaO6 octahedra, edges with six TlO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 0–64°. There are a spread of Ca–O bond distances ranging from 2.35–2.47 Å. In the ninth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one TlO6 octahedra, corners with three CaO6 octahedra, corners with two equivalent CaO7 pentagonal bipyramids, edges with three equivalent CaO6 octahedra, and edges with six TlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. There are a spread of Ca–O bond distances ranging from 2.37–2.44 Å. In the tenth Ca site, Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.47–2.80 Å. In the eleventh Ca site, Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.48–2.76 Å. There are five inequivalent Tl sites. In the first Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with two CaO6 octahedra, corners with three TlO6 octahedra, a cornercorner with one CaO7 pentagonal bipyramid, edges with four TlO6 octahedra, and edges with five CaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. There are a spread of Tl–O bond distances ranging from 2.25–2.64 Å. In the second Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with four TlO6 octahedra, edges with four CaO6 octahedra, edges with four TlO6 octahedra, and edges with two equivalent CaO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tl–O bond distances ranging from 2.16–2.52 Å. In the third Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent TlO6 octahedra, corners with two equivalent CaO7 pentagonal bipyramids, edges with two equivalent CaO6 octahedra, and edges with four TlO6 octahedra. The corner-sharing octahedra tilt angles range from 6–63°. There are a spread of Tl–O bond distances ranging from 2.28–2.52 Å. In the fourth Tl site, Tl is bonded to six O atoms to form TlO6 octahedra that share corners with four TlO6 octahedra, edges with three CaO6 octahedra, and edges with five TlO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Tl–O bond distances ranging from 2.16–2.51 Å. In the fifth Tl site, Tl is bonded to six O atoms to form distorted TlO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four TlO6 octahedra, edges with three TlO6 octahedra, and edges with six CaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. There are a spread of Tl–O bond distances ranging from 2.25–2.67 Å. There are eighteen inequivalent O sites. In the first O site, O is bonded to two Ca and four equivalent Tl atoms to form OCa2Tl4 octahedra that share corners with four OCa2Tl4 octahedra, corners with four equivalent OCa3Tl2 trigonal bipyramids, edges with four OCa2Tl4 octahedra, and edges with eight OCa4Tl square pyramids. The corner-sharing octahedra tilt angles range from 2–3°. In the second O site, O is bonded to four Ca and two equivalent Tl atoms to form OCa4Tl2 octahedra that share corners with four equivalent OCa4Tl square pyramids, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with six OCa4Tl2 octahedra, edges with two equivalent OCa4Tl square pyramids, and edges with four OCa2Tl2 tetrahedra. In the third O site, O is bonded to two Ca and two equivalent Tl atoms to form distorted OCa2Tl2 tetrahedra that share corners with four OCaTl5 octahedra, corners with four OCa4Tl square pyramids, corners with two equivalent OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, and edges with three OCa2Tl4 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fourth O site, O is bonded to two Ca and two equivalent Tl atoms to form OCa2Tl2 tetrahedra that share corners with four OCa2Tl4 octahedra, corners with four OCa4Tl square pyramids, corners with two equivalent OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, and edges with three OCa4Tl2 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the fifth O site, O is bonded to four Ca and one Tl atom to form OCa4Tl square pyramids that share corners with three equivalent OCa4Tl square pyramids, corners with two OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, edges with four OCa2Tl4 octahedra, edges with three OCa4Tl square pyramids, and edges with two OCa3Tl2 trigonal bipyramids. In the sixth O site, O is bonded to three Ca and two Tl atoms to form distorted OCa3Tl2 trigonal bipyramids that share corners with three OCa2Tl4 octahedra, corners with four OCa4Tl square pyramids, corners with four OCa2Tl2 tetrahedra, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with two OCa2Tl4 octahedra, edges with two OCa4Tl square pyramids, and edges with three OCa3Tl2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–41°. In the seventh O site, O is bonded to two Ca and four Tl atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa2Tl4 octahedra, edges with two equivalent OCa4Tl square pyramids, an edgeedge with one OCa2Tl2 tetrahedra, and edges with four OCa3Tl2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the eighth O site, O is bonded to one Ca and five Tl atoms to form OCaTl5 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa2Tl4 octahedra, edges with two equivalent OCa4Tl square pyramids, an edgeedge with one OCa2Tl2 tetrahedra, and edges with four OCa3Tl2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the ninth O site, O is bonded to four Ca and one Tl atom to form OCa4Tl square pyramids that share corners with two equivalent OCa4Tl2 octahedra, corners with three equivalent OCa4Tl square pyramids, corners with two OCa2Tl2 tetrahedra, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with five OCa4Tl2 octahedra, edges with three OCa4Tl square pyramids, and an edgeedge with one OCa3Tl2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–6°. In the tenth O site, O is bonded to four Ca and one Tl atom to form distorted OCa4Tl square pyramids that share corners with two equivalent OCa4Tl2 octahedra, corners with two OCa2Tl2 tetrahedra, corners with five OCa4Tl trigonal bipyramids, edges with five OCa2Tl4 octahedra, edges with two equivalent OCa4Tl square pyramids, and edges with two OCa4Tl trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–6°. In the eleventh O site, O is bonded to two Ca and four Tl atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa4Tl2 octahedra, edges with four OCa4Tl square pyramids, an edgeedge with one OCaTl3 tetrahedra, and edges with two equivalent OCa4Tl trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the twelfth O site, O is bonded to two Ca and four Tl atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl4 octahedra, corners with four OCa2Tl2 tetrahedra, edges with five OCa4Tl2 octahedra, edges with four OCa4Tl square pyramids, an edgeedge with one OCa2Tl2 tetrahedra, and edges with two equivalent OCa4Tl trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. In the thirteenth O site, O is bonded to four Ca and one Tl atom to form distorted OCa4Tl trigonal bipyramids that share corners with three OCa4Tl2 octahedra, corners with four OCa4Tl square pyramids, corners with four OCa2Tl2 tetrahedra, corners with two equivalent OCa3Tl2 trigonal bipyramids, edges with two OCa2Tl4 octahedra, edges with two OCa4Tl square pyramids, and edges with three OCa4Tl trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–43°. In the fourteenth O site, O is bonded to three Ca and two Tl atoms to form distorted OCa3Tl2 trigonal bipyramids that share corners with three equivalent OCa4Tl square pyramids, corners with two OCa2Tl2 tetrahedra, corners with four OCa3Tl2 trigonal bipyramids, edges with four OCa2Tl4 octahedra, an edgeedge with one OCa4Tl square pyramid, and edges with four OCa3Tl2 trigonal bipyramids. In the fifteenth O site, O is bonded to two Ca and two equivalent Tl atoms to form OCa2Tl2 tetrahedra that share corners with four OCa2Tl4 octahedra, corners with two equivalent OCa4Tl square pyramids, corners with two equivalent OCaTl3 tetrahedra, corners with six OCa3Tl2 trigonal bipyramids, and edges with three OCa4Tl2 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the sixteenth O site, O is bonded to one Ca and three Tl atoms to form distorted OCaTl3 tetrahedra that share corners with four OCaTl5 octahedra, corners with two equivalent OCa4Tl square pyramids, corners with two equivalent OCa2Tl2 tetrahedra, corners with six

36 MATERIALS SCIENCE↗