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Materials Data on Co23O32 by Materials Project

Co23O32 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Co+2.78+ sites. In the first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–2.05 Å. In the second Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.08 Å. In the third Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the fourth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the fifth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the sixth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the seventh Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–65°. There is one shorter (1.95 Å) and three longer (1.96 Å) Co–O bond length. In the eighth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the ninth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.05 Å. In the tenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.03–2.12 Å. In the eleventh Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.08 Å. In the twelfth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the thirteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.13 Å. In the fourteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the fifteenth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the sixteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.96 Å. In the seventeenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.99 Å. In the eighteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the nineteenth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. In the twentieth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the twenty-first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.98 Å. In the twenty-second Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Co–O bond distances ranging from 1.95–2.00 Å. In the twenty-third Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fifth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the eighth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the ninth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the seventeenth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the nineteenth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-first O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to four Co+2.78+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on VO2 by Materials Project

VO2 is Pb(Zr_(1-x)Ti_x)O3-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent V4+ sites. In the first V4+ site, V4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.25 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of V–O bond distances ranging from 1.94–2.14 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. There are a spread of V–O bond distances ranging from 1.71–2.20 Å. In the fourth V4+ site, V4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.30 Å. In the fifth V4+ site, V4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.26 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–27°. There are a spread of V–O bond distances ranging from 1.70–2.21 Å. In the seventh V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of V–O bond distances ranging from 1.71–2.16 Å. In the eighth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of V–O bond distances ranging from 1.91–2.16 Å. In the ninth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of V–O bond distances ranging from 1.70–2.20 Å. In the tenth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–26°. There are a spread of V–O bond distances ranging from 1.71–2.20 Å. In the eleventh V4+ site, V4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of V–O bond distances ranging from 1.91–2.14 Å. In the twelfth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of V–O bond distances ranging from 1.70–2.24 Å. In the thirteenth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of V–O bond distances ranging from 1.72–2.14 Å. In the fourteenth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–26°. There are a spread of V–O bond distances ranging from 1.73–2.16 Å. In the fifteenth V4+ site, V4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of V–O bond distances ranging from 1.91–2.12 Å. In the sixteenth V4+ site, V4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.26 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four V4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four V4+ atoms. In the fourth O2- site, O2- is bonded to four V4+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four V4+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to four V4+ atoms. In the tenth O2- site, O2- is bonded to four V4+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four V4+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the fifteenth O2- site, O2- is bonded to four V4+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to four V4+ atoms. In the seventeenth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-first O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-third O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two V4+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two V4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMn16O32 by Materials Project

LiMn16O32 is zeta iron carbide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Li1+ is bonded in a bent 120 degrees geometry to two O2- atoms. There are one shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. There are twelve inequivalent Mn+3.94+ sites. In the first Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the second Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the fourth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the fifth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the sixth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the seventh Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the eighth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–2.03 Å. In the ninth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the tenth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the eleventh Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the twelfth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.94+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.94+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Cu5O7 by Materials Project

Mg2Cu5O7 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are twelve inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Mg–O bond distances ranging from 2.04–2.22 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Mg–O bond distances ranging from 2.04–2.23 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one CuO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.20 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra and edges with two CuO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one CuO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. There are sixteen inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.66 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 1.92–2.62 Å. In the third 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 1.92–2.63 Å. In the fourth 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 1.91–2.63 Å. In the fifth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the sixth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.66 Å. In the seventh Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.63 Å. In the eighth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.63 Å. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cu–O bond distances ranging from 2.06–2.28 Å. In the tenth 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 1.92–2.63 Å. In the eleventh 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 1.92–2.60 Å. In the twelfth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cu–O bond distances ranging from 2.06–2.28 Å. In the thirteenth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.65 Å. In the fourteenth 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 1.92–2.60 Å. In the fifteenth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.66 Å. In the sixteenth 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 1.92–2.62 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the sixth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to six Cu2+ atoms. In the eighth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the tenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to six Cu2+ atoms. In the twelfth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the thirteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form distorted OMg2Cu3 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the fourteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the sixteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the seventeenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the eighteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twentieth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMgCu4 square pyramids. In the twenty-first O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMgCu4 square pyramids and edges with three OMg2Cu3 square pyramids. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMgCu4 square pyramids and edges with three OMg2Cu3 square pyramids. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr5U5O19 by Materials Project

Sr5U5O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.89 Å. In the second Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.90 Å. In the third Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.72 Å. In the fourth Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.87 Å. In the fifth Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 hexagonal pyramids that share corners with two UO7 pentagonal bipyramids and an edgeedge with one UO7 pentagonal bipyramid. There are a spread of Sr–O bond distances ranging from 2.48–2.59 Å. There are five inequivalent U+5.60+ sites. In the first U+5.60+ site, U+5.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.00–2.63 Å. In the second U+5.60+ site, U+5.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 1.97–2.40 Å. In the third U+5.60+ site, U+5.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.00–2.39 Å. In the fourth U+5.60+ site, U+5.60+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share a cornercorner with one SrO7 hexagonal pyramid and a cornercorner with one UO7 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 2.00–2.32 Å. In the fifth U+5.60+ site, U+5.60+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share a cornercorner with one SrO7 hexagonal pyramid, a cornercorner with one UO7 pentagonal bipyramid, and an edgeedge with one SrO7 hexagonal pyramid. There are a spread of U–O bond distances ranging from 2.01–2.31 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Sr2+ and three U+5.60+ atoms to form a mixture of distorted edge and corner-sharing OSrU3 tetrahedra. In the second O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with twelve OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the third O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with twelve OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the fourth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with eleven OSrU3 tetrahedra and edges with three OSr3U tetrahedra. In the fifth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with eleven OSrU3 tetrahedra and edges with four OSr3U tetrahedra. In the sixth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with twelve OSrU3 tetrahedra and edges with four OSr3U tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.60+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and two U+5.60+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.60+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.60+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+ and three U+5.60+ atoms. In the twelfth O2- site, O2- is bonded to one Sr2+ and three U+5.60+ atoms to form distorted OSrU3 tetrahedra that share corners with eight OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and two U+5.60+ atoms. In the fourteenth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with thirteen OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the fifteenth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the sixteenth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the seventeenth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the eighteenth O2- site, O2- is bonded to three Sr2+ and one U+5.60+ atom to form distorted OSr3U tetrahedra that share corners with eleven OSrU3 tetrahedra and edges with five OSr3U tetrahedra. In the nineteenth O2- site, O2- is bonded to one Sr2+ and three U+5.60+ atoms to form a mixture of distorted edge and corner-sharing OSrU3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on K3Ti8O17 by Materials Project

K3Ti8O17 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.66–2.68 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.73–3.07 Å. In the third K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.73–3.00 Å. There are eight inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–26°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–26°. There are a spread of Ti–O bond distances ranging from 1.89–2.24 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of Ti–O bond distances ranging from 1.77–2.26 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of Ti–O bond distances ranging from 1.77–2.27 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Ti–O bond distances ranging from 1.80–2.25 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Ti–O bond distances ranging from 1.81–2.24 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.31 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.31 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to four K1+ and two equivalent Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a linear geometry to four K1+ and two equivalent Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two K1+ and two Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two K1+ and two Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded to two equivalent K1+ and two Ti+3.88+ atoms to form distorted OK2Ti2 tetrahedra that share corners with four equivalent OK2Ti2 tetrahedra, corners with six OTi4 trigonal pyramids, an edgeedge with one OK2Ti2 tetrahedra, and an edgeedge with one OTi4 trigonal pyramid. In the sixth O2- site, O2- is bonded to two equivalent K1+ and two Ti+3.88+ atoms to form distorted OK2Ti2 tetrahedra that share corners with four equivalent OK2Ti2 tetrahedra, corners with six OTi4 trigonal pyramids, an edgeedge with one OK2Ti2 tetrahedra, and an edgeedge with one OTi4 trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two K1+ and two Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two K1+ and two Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the thirteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OK2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OK2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OK2Ti2 tetrahedra, corners with four OTi4 trigonal pyramids, an edgeedge with one OK2Ti2 tetrahedra, and edges with four OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OK2Ti2 tetrahedra, corners with four OTi4 trigonal pyramids, an edgeedge with one OK2Ti2 tetrahedra, and edges with four OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one OK2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one OK2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiCuPO4 by Materials Project

LiCuPO4 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. There are eight inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.01 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.98–2.00 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.01 Å. In the fifth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.00 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There is two shorter (1.98 Å) and two longer (1.99 Å) Cu–O bond length. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.97–2.03 Å. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.97–2.02 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. All P–O bond lengths are 1.55 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four CuO4 tetrahedra. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca3Mn4O8 by Materials Project

Ca3Mn4O8 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with five MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with two equivalent CaO6 octahedra, an edgeedge with one MnO5 square pyramid, edges with two MnO5 trigonal bipyramids, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 40–64°. There are a spread of Ca–O bond distances ranging from 2.26–2.52 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with six MnO5 square pyramids, edges with two equivalent CaO6 octahedra, edges with three MnO5 square pyramids, and a faceface with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of Ca–O bond distances ranging from 2.24–2.49 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, corners with three MnO5 trigonal bipyramids, edges with two equivalent CaO6 octahedra, edges with two MnO5 square pyramids, an edgeedge with one MnO5 trigonal bipyramid, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ca–O bond distances ranging from 2.22–2.51 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with four MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two equivalent CaO6 octahedra, edges with three MnO5 square pyramids, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 32–67°. There are a spread of Ca–O bond distances ranging from 2.27–2.48 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with eight CaO6 octahedra, corners with five MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with two MnO5 square pyramids, and edges with two MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–64°. There are a spread of Ca–O bond distances ranging from 2.29–2.60 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with eight CaO6 octahedra, corners with four MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, and edges with four MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 40–67°. There are a spread of Ca–O bond distances ranging from 2.34–2.60 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five CaO6 octahedra, corners with two MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 35–83°. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five CaO6 octahedra, corners with four MnO5 square pyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 31–79°. There are a spread of Mn–O bond distances ranging from 2.09–2.37 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with five CaO6 octahedra, corners with two MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 27–78°. There are a spread of Mn–O bond distances ranging from 2.07–2.35 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five CaO6 octahedra, corners with four MnO5 square pyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 trigonal bipyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 38–82°. There are a spread of Mn–O bond distances ranging from 1.95–2.24 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four CaO6 octahedra, corners with four MnO5 square pyramids, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 56–79°. There are a spread of Mn–O bond distances ranging from 1.98–2.49 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 43–72°. There are a spread of Mn–O bond distances ranging from 1.94–2.39 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with three CaO6 octahedra, and edges with two equivalent MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–74°. There are a spread of Mn–O bond distances ranging from 2.07–2.33 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with two equivalent MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 64–77°. There are a spread of Mn–O bond distances ranging from 2.11–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with three OCa3Mn2 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with four OCa3Mn2 trigonal bipyramids. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+2.50+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+2.50+ atoms. In the fourth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with six OCa3Mn2 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with two OCa3Mn2 trigonal bipyramids. In the fifth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, edges with two OCa2Mn3 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the sixth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with seven OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, an edgeedge with one OCa2Mn3 trigonal bipyramid, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the seventh O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, edges with two OCa2Mn3 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the eighth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form distorted OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+ and three Mn+2.50+ atoms. In the tenth O2- site, O2- is bonded to three Ca2+ and two Mn+2.50+ atoms to form distorted OCa3Mn2 trigonal bipyramids that share corners with four OCa2Mn3 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with five OCa2Mn3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded to three Ca2+ and two Mn+2.50+ atoms to form distorted OCa3Mn2 trigonal bipyramids that share corners with three OCa2Mn3 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with two OCa2Mn3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa2Mn3 trigonal bipyramids, edges with five OCa3Mn2 trigonal bipyramids, and edges with two OCa2Mn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with two OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with two OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with four OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+ and three Mn+2.50+ atoms. In the sixteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with four OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li2CrCo3O8 by Materials Project

Li2CrCo3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.93–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is one shorter (1.93 Å) and three longer (1.96 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.94–1.96 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. There are four inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.01 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–2.01 Å. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. There are twelve inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.92 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the fourth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the fifth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.98 Å. In the sixth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.91 Å. In the seventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the eighth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the ninth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the tenth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.94 Å. In the eleventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the twelfth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There is five shorter (1.92 Å) and one longer (1.93 Å) Co–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with four OLiCo3 tetrahedra and corners with four OLiCrCo2 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCrCo2 tetrahedra, corners with five OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share corners with three OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, and edges with three OLiCrCo2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with six OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share corners with three OLiCo3 tetrahedra and corners with four OLiCrCo2 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share corners with three OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, and edges with two OLiCrCo2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 tetrahedra that share corners with two OLiCo3 tetrahedra, corners with five OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with five OLiCrCo2 trigonal pyramids, edges with two OLiCo3 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the seventeenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCrCo2 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with two OLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share corners with two OLiCo3 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCrCo2 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with five OLiCrCo2 trigonal pyramids, edges with two OLiCo3 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3OF8 by Materials Project

Li4Mn3OF8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with two MnOF5 octahedra, corners with two equivalent MnOF5 pentagonal pyramids, corners with three LiOF3 tetrahedra, a cornercorner with one LiOF3 trigonal pyramid, and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 21–65°. There are a spread of Li–F bond distances ranging from 1.84–1.91 Å. In the second Li1+ site, Li1+ is bonded to one O2- and three F1- atoms to form LiOF3 tetrahedra that share a cornercorner with one MnO2F4 octahedra, corners with two equivalent MnOF5 pentagonal pyramids, corners with four LiF4 tetrahedra, and an edgeedge with one MnO2F4 octahedra. The corner-sharing octahedral tilt angles are 72°. The Li–O bond length is 1.86 Å. There is two shorter (1.88 Å) and one longer (1.93 Å) Li–F bond length. In the third Li1+ site, Li1+ is bonded to four F1- atoms to form distorted LiF4 tetrahedra that share corners with four MnOF5 octahedra, corners with two LiOF3 tetrahedra, and a cornercorner with one LiOF3 trigonal pyramid. The corner-sharing octahedra tilt angles range from 37–77°. There are a spread of Li–F bond distances ranging from 1.85–1.91 Å. In the fourth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with two equivalent MnOF5 octahedra and corners with three LiF4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Li–F bond distances ranging from 1.84–1.93 Å. In the fifth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.87–1.92 Å. In the sixth Li1+ site, Li1+ is bonded to one O2- and three F1- atoms to form distorted LiOF3 trigonal pyramids that share corners with two MnOF5 octahedra, corners with four LiF4 tetrahedra, and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 68–71°. The Li–O bond length is 1.86 Å. There is two shorter (1.88 Å) and one longer (1.94 Å) Li–F bond length. In the seventh Li1+ site, Li1+ is bonded to one O2- and three F1- atoms to form distorted LiOF3 tetrahedra that share a cornercorner with one MnO2F4 octahedra, corners with four LiOF3 tetrahedra, and an edgeedge with one MnO2F4 octahedra. The corner-sharing octahedral tilt angles are 73°. The Li–O bond length is 1.86 Å. There are a spread of Li–F bond distances ranging from 1.88–1.94 Å. In the eighth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four F1- atoms. There is two shorter (1.87 Å) and two longer (1.88 Å) Li–F bond length. In the ninth Li1+ site, Li1+ is bonded to four F1- atoms to form distorted LiF4 tetrahedra that share corners with two equivalent MnOF5 octahedra, corners with two LiF4 tetrahedra, and a cornercorner with one LiOF3 trigonal pyramid. The corner-sharing octahedra tilt angles range from 70–80°. There are a spread of Li–F bond distances ranging from 1.86–1.97 Å. In the tenth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with four MnOF5 octahedra and corners with three LiF4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–74°. There are a spread of Li–F bond distances ranging from 1.83–1.95 Å. In the eleventh Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share a cornercorner with one MnO2F4 octahedra, corners with two equivalent MnOF5 pentagonal pyramids, and corners with four LiOF3 tetrahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Li–F bond distances ranging from 1.85–1.88 Å. In the twelfth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with two MnOF5 octahedra, corners with two equivalent MnOF5 pentagonal pyramids, corners with three LiF4 tetrahedra, a cornercorner with one LiOF3 trigonal pyramid, and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 21–69°. There are a spread of Li–F bond distances ranging from 1.86–1.89 Å. There are nine inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 5-coordinate geometry to one O2- and four F1- atoms. The Mn–O bond length is 2.06 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.50 Å. In the second Mn2+ site, Mn2+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share a cornercorner with one MnO2F4 octahedra, a cornercorner with one MnOF5 pentagonal pyramid, corners with six LiF4 tetrahedra, a cornercorner with one LiOF3 trigonal pyramid, an edgeedge with one MnOF5 octahedra, an edgeedge with one LiF4 tetrahedra, and an edgeedge with one LiOF3 trigonal pyramid. The corner-sharing octahedral tilt angles are 62°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.50 Å. In the third Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.55 Å. In the fourth Mn2+ site, Mn2+ is bonded in a 7-coordinate geometry to one O2- and six F1- atoms. The Mn–O bond length is 2.11 Å. There are a spread of Mn–F bond distances ranging from 2.22–2.75 Å. In the fifth Mn2+ site, Mn2+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 pentagonal pyramids that share corners with three MnOF5 octahedra and corners with eight LiF4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.21–2.25 Å. In the sixth Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Mn–O bond length is 2.11 Å. There are a spread of Mn–F bond distances ranging from 2.19–2.46 Å. In the seventh Mn2+ site, Mn2+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share a cornercorner with one MnOF5 pentagonal pyramid, corners with six LiF4 tetrahedra, a cornercorner with one LiOF3 trigonal pyramid, an edgeedge with one MnOF5 octahedra, an edgeedge with one LiF4 tetrahedra, and an edgeedge with one LiOF3 trigonal pyramid. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.51 Å. In the eighth Mn2+ site, Mn2+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share a cornercorner with one MnOF5 octahedra, a cornercorner with one MnOF5 pentagonal pyramid, corners with seven LiOF3 tetrahedra, and edges with two LiOF3 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are one shorter (2.09 Å) and one longer (2.10 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.20–2.49 Å. In the ninth Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.09–2.81 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Mn2+ atoms to form OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with three FLi2Mn2 tetrahedra, and an edgeedge with one FLi2Mn2 tetrahedra. In the second O2- site, O2- is bonded to one Li1+ and three Mn2+ atoms to form OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra and corners with three FLi2Mn2 tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Mn2+ atoms to form OLiMn3 tetrahedra that share corners with three FLi2Mn2 tetrahedra. There are twenty-four inequivalent F1- sites. In the first F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form distorted FLi2Mn2 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, a cornercorner with one FLi2Mn2 tetrahedra, and an edgeedge with one OLiMn3 tetrahedra. In the second F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Mn2+ atoms. In the third F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn2+ atoms. In the fourth F1- site, F1- is bonded in a distorted T-shaped geometry to two Li1+ and one Mn2+ atom. In the fifth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form distorted FLi2Mn2 tetrahedra that share corners with three OLiMn3 tetrahedra. In the sixth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Mn2+ atoms. In the seventh F1- site, F1- is bonded in a distorted T-shaped geometry to two Li1+ and one Mn2+ atom. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Mn2+ atoms. In the ninth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn2+ atoms. In the tenth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn2+ atoms. In the eleventh F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form distorted FLi2Mn2 tetrahedra that share corners with two OLiMn3 tetrahedra. In the twelfth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Li1+ and two Mn2+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and two Mn2+ atoms. In the fourteenth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Mn2+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn2+ atoms. In the sixteenth F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and three Mn2+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted T-shaped geometry to two Li1+ and one Mn2+ atom. In the eighteenth F1- site, F1- is bonded in a distorted T-shaped geometry to two Li1+ and one Mn2+ atom. In the nineteenth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form distorted FLi2Mn2 tetrahedra that share corners with two OLiMn3 tetrahedra. In the twentieth F1- site, F1- is bonded in a 3-coordinate geometry to two Li1+ and two Mn2+ atoms. In the twenty-first F1- site, F1- is bonded in a 3-coordinate geometry to two Li1+ and two Mn2+ atoms. In the twenty-second F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Mn2+ atoms. In the twenty-third F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Mn2+ atoms. In the twenty-fourth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form FLi2Mn2 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra and a cornercorner with one FLi2Mn2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.90–2.34 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.91–2.33 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.92–2.31 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Mn–O bond distances ranging from 1.91–2.31 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Fe–O bond distances ranging from 1.90–2.17 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.93–2.22 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Fe–O bond distances ranging from 1.93–2.12 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Fe–O bond distances ranging from 1.93–2.14 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.88–2.13 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are two shorter (1.88 Å) and four longer (2.14 Å) Co–O bond lengths. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.88–2.20 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.86–2.14 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 MnO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. 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 MnO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of P–O bond distances ranging from 1.53–1.57 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 MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 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 three FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.52–1.58 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 FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. 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 a cornercorner with one FeO6 octahedra, corners with two equivalent CoO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom

36 MATERIALS SCIENCE↗

Materials Data on Li3V2F9 by Materials Project

Li3V2F9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three equivalent LiF6 octahedra, corners with three equivalent VF6 octahedra, edges with three equivalent VF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of Li–F bond distances ranging from 1.98–2.18 Å. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with six VF6 octahedra, edges with three equivalent LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Li–F bond distances ranging from 1.96–2.21 Å. In the third Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six VF6 octahedra, edges with three equivalent LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Li–F bond distances ranging from 1.95–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three equivalent LiF6 octahedra, corners with three equivalent VF6 octahedra, edges with three equivalent VF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of Li–F bond distances ranging from 1.96–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three equivalent LiF6 octahedra, corners with six VF6 octahedra, and edges with three equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Li–F bond distances ranging from 2.04–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three equivalent LiF6 octahedra, corners with six VF6 octahedra, and edges with three equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Li–F bond distances ranging from 2.04–2.16 Å. There are four inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six F1- atoms to form VF6 octahedra that share corners with nine LiF6 octahedra and a faceface with one VF6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of V–F bond distances ranging from 1.93–2.07 Å. In the second V3+ site, V3+ is bonded to six F1- atoms to form distorted VF6 octahedra that share corners with six LiF6 octahedra, edges with three equivalent LiF6 octahedra, and a faceface with one VF6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of V–F bond distances ranging from 1.94–2.05 Å. In the third V3+ site, V3+ is bonded to six F1- atoms to form VF6 octahedra that share corners with six LiF6 octahedra, edges with three equivalent LiF6 octahedra, and a faceface with one VF6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of V–F bond distances ranging from 1.94–2.04 Å. In the fourth V3+ site, V3+ is bonded to six F1- atoms to form VF6 octahedra that share corners with nine LiF6 octahedra and a faceface with one VF6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of V–F bond distances ranging from 1.91–2.10 Å. There are eighteen inequivalent F1- sites. In the first F1- site, F1- is bonded to three Li1+ and one V3+ atom to form a mixture of distorted edge and corner-sharing FLi3V trigonal pyramids. In the second F1- site, F1- is bonded to three Li1+ and one V3+ atom to form a mixture of distorted edge and corner-sharing FLi3V trigonal pyramids. In the third F1- site, F1- is bonded to three Li1+ and one V3+ atom to form a mixture of distorted edge and corner-sharing FLi3V trigonal pyramids. In the fourth F1- site, F1- is bonded to three Li1+ and one V3+ atom to form a mixture of distorted edge and corner-sharing FLi3V trigonal pyramids. In the fifth F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms. In the sixth F1- site, F1- is bonded to three Li1+ and one V3+ atom to form a mixture of distorted edge and corner-sharing FLi3V trigonal pyramids. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the eighth F1- site, F1- is bonded to three Li1+ and one V3+ atom to form a mixture of distorted edge and corner-sharing FLi3V trigonal pyramids. In the ninth F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the eleventh F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the fourteenth F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the sixteenth F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the eighteenth F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnO3 by Materials Project

Li3MnO3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.87–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Li–O bond distances ranging from 1.88–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Li–O bond distances ranging from 1.87–2.06 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Li–O bond distances ranging from 1.88–2.07 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the twenty-first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the twenty-second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the twenty-third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–56°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–56°. There are a spread of Li–O bond distances ranging from 1.88–2.07 Å. In the thirtieth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the thirty-first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the thirty-second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the thirty-third Li1+ site, Li1+ is bonded to four O2- atoms

36 MATERIALS SCIENCE↗

Materials Data on Li4Co2C4SO16 by Materials Project

Li4Co2C4SO16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four LiO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–84°. There are a spread of Li–O bond distances ranging from 2.18–2.29 Å. In the second 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 2.03–2.39 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Li–O bond distances ranging from 2.10–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with five LiO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–82°. There are a spread of Li–O bond distances ranging from 2.14–2.29 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 79–84°. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four LiO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–79°. There are a spread of Li–O bond distances ranging from 2.16–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 2.10–2.46 Å. In the eighth 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 2.04–2.32 Å. There are four inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with three LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–1.98 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with two LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–1.95 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with three LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with four LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–1.98 Å. There are eight inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.30 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.31 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. There are two inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with five LiO6 octahedra. There is two shorter (1.48 Å) and two longer (1.50 Å) S–O bond length. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share an edgeedge with one LiO6 octahedra. There is two shorter (1.48 Å) and two longer (1.51 Å) S–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the seventh O2- site, O2- is bonded to three Li1+ and one S6+ atom to form distorted edge-sharing OLi3S trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co3+ and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Co3+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded to three Li1+ and one S6+ atom to form distorted edge-sharing OLi3S trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in an L-shaped geometry to one Li1+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in an L-shaped geometry to one Li1+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4(FeO2)9 by Materials Project

Li4(FeO2)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with five FeO6 octahedra, edges with four FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.13–2.18 Å. In the second Li site, Li is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.19–2.26 Å. In the third Li site, Li is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.16–2.27 Å. In the fourth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with five FeO6 octahedra, edges with four FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–72°. There are a spread of Li–O bond distances ranging from 2.15–2.20 Å. In the fifth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with five FeO6 octahedra, edges with four FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–72°. There are a spread of Li–O bond distances ranging from 2.15–2.19 Å. In the sixth Li site, Li is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.17–2.25 Å. In the seventh Li site, Li is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.20–2.28 Å. In the eighth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with five FeO6 octahedra, edges with four FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–73°. There are a spread of Li–O bond distances ranging from 2.15–2.20 Å. There are eighteen inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with four LiO5 trigonal bipyramids, edges with six FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.94–2.08 Å. In the third Fe site, Fe is bonded to six O atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 10–54°. There are a spread of Fe–O bond distances ranging from 1.96–2.23 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, edges with six FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.93–2.00 Å. In the fifth Fe site, Fe is bonded to six O atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Fe–O bond distances ranging from 1.98–2.07 Å. In the sixth Fe site, Fe is bonded to six O atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Fe–O bond distances ranging from 1.98–2.07 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, edges with four FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.92–2.00 Å. In the eighth Fe site, Fe is bonded to six O atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 11–54°. There are a spread of Fe–O bond distances ranging from 1.97–2.26 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.93–2.07 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four LiO5 trigonal bipyramids, edges with six FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°. There are a spread of Fe–O bond distances ranging from 2.03–2.10 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.91–2.06 Å. In the twelfth Fe site, Fe is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Fe–O bond distances ranging from 1.97–2.56 Å. In the thirteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, edges with six FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.91–2.02 Å. In the fourteenth Fe site, Fe is bonded to six O atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. In the fifteenth Fe site, Fe is bonded to six O atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. In the sixteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, edges with six FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.90–2.02 Å. In the seventeenth Fe site, Fe is bonded to six O atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 9–54°. There are a spread of Fe–O bond distances ranging from 1.97–2.50 Å. In the eighteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.92–2.09 Å. There are thirty-six inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to four Fe atoms. In the third O site, O is bonded in a square co-planar geometry to two equivalent Li and two equivalent Fe atoms. In the fourth O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 trigonal bipyramids that share corners with four OLiFe3 tetrahedra and edges with two equivalent OLi2Fe3 trigonal bipyramids. In the fifth O site, O is bonded in a 5-coordinate geometry to two equivalent Li and three Fe atoms. In the sixth O site, O is bonded to one Li and three Fe atoms to form OLiFe3 tetrahedra that share corners with two equivalent OLiFe3 tetrahedra and corners with four OLi2Fe3 trigonal bipyramids. In the seventh O site, O is bonded to two equivalent Li and three Fe atoms to form a mixture of corner and edge-sharing OLi2Fe3 square pyramids. In the eighth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Fe atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twelfth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Fe atoms. In the thirteenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fourteenth O site, O is bonded to two equivalent Li and three Fe atoms to form a mixture of corner and edge-sharing OLi2Fe3 square pyramids. In the fifteenth O site, O is bonded to one Li and three Fe atoms to form OLiFe3 tetrahedra that share corners with two equivalent OLiFe3 tetrahedra and corners with four OLi2Fe3 trigonal bipyramids. In the sixteenth O site, O is bonded in a 5-coordinate geometry to two equivalent Li and three Fe atoms. In the seventeenth O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 trigonal bipyramids that share corners with four OLiFe3 tetrahedra and edges with two equivalent OLi2Fe3 trigonal bipyramids. In the eighteenth O site, O is bonded in a square co-planar geometry to two equivalent Li and two equivalent Fe atoms. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Fe atoms. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-first O site, O is bonded in a square co-planar geometry to two equivalent Li and two equivalent Fe atoms. In the twenty-second O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 trigonal bipyramids that share corners with four OLiFe3 tetrahedra, corners with two equivalent OLi2Fe3 trigonal bipyramids, and edges with three OLi2Fe3 trigonal bipyramids. In the twenty-third O site, O is bonded to two equivalent Li and three Fe atoms to form distorted OLi2Fe3 trigonal bipyramids that share a cornercorner with one OLi2Fe3 square pyramid, corners with two equivalent OLi2Fe3 trigonal bipyramids, edges with two equivalent OLiFe3 tetrahedra, and edges with three OLi2Fe3 trigonal bipyramids. In the twenty-fourth O site, O is bonded to one Li and three Fe atoms to form distorted OLiFe3 tetrahedra that share corners with two equivalent OLiFe3 tetrahedra, corners with four OLi2Fe3 trigonal bipyramids, and edges with two equivalent OLi2Fe3 trigonal bipyramids. In the twenty-fifth O site, O is bonded to two equivalent Li and three Fe atoms to form a mixture of corner and edge-sharing OLi2Fe3 square pyramids. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the twenty-seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to three Fe atoms. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirtieth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Fe atoms. In the thirty-first O site, O is bonded in a distorted trigonal plan

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn8Fe11O32 by Materials Project

Li5Mn8Fe11O32 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Li–O bond distances ranging from 2.00–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four equivalent FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.02 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.16 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four equivalent FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four equivalent FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.14 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MnO6 octahedra, and edges with four FeO6 octahedra. All Mn–O bond lengths are 1.96 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two MnO6 octahedra, and edges with four equivalent FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.15 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.07 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Fe–O bond distances ranging from 2.02–2.07 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.14 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MnO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Fe–O bond distances ranging from 1.91–1.95 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.25+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Mn+3.25+ and three Fe3+ atoms to form a mixture of distorted edge and corner-sharing OMnFe3 tetrahedra. In the third O2- site, O2- is bonded to one Mn+3.25+ and three Fe3+ atoms to form distorted OMnFe3 trigonal pyramids that share corners with three OMnFe3 tetrahedra and an edgeedge with one OLiMnFe2 trigonal pyramid. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 trigonal pyramids that share corners with two equivalent OLiMnFe2 tetrahedra, corners with two OLiMnFe2 trigonal pyramids, and an edgeedge with one OMnFe3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 trigonal pyramids that share corners with six OMnFe3 tetrahedra and an edgeedge with one OLiMnFe2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mn+3.25+ and three Fe3+ atoms. In the seventh O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted corner-sharing OLiMnFe2 tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.25+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.25+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn+3.25+ and two Fe3+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form a mixture of distorted edge and corner-sharing OLiMnFe2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 tetrahedra that share corners with six OLiMnFe2 trigonal pyramids and an edgeedge with one OMnFe3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 tetrahedra that share corners with six OLiMnFe2 trigonal pyramids and an edgeedge with one OMnFe3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form a mixture of distorted edge and corner-sharing OLiMnFe2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn+3.25+ and two Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.25+, and one Fe3+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.25+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 trigonal pyramids that share corners with two equivalent OMnFe3 tetrahedra, corners with four OLiMnFe2 trigonal pyramids, and an edgeedge with one OLiMnFe2 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 trigonal pyramids that share corners with three equivalent OMnFe3 tetrahedra, corners with three OMnFe3 trigonal pyramids, and an edgeedge with one OLiMnFe2 trigonal pyramid. In the twentieth O2- site, O2- is bonded to one Li1+, one Mn+3.25+, and two equivalent Fe3+ atoms to form a mixture of distorted edge and corner-sharing OLiMnFe2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Mn+3.25+ and three Fe3+ atoms to form distorted OMnFe3 tetrahedra that share corners with six OLiMnFe2 trigonal pyramids and an edgeedge with one OMnFe3 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to one Mn+3.25+ and three Fe3+ atoms to form distorted OMnFe3 trigonal pyramids that share corners with five OLiMnFe2 trigonal pyramids and an edgeedge with one OMnFe3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Mn+3.25+ and three Fe3+ atoms to form distorted OMnFe3 trigonal pyramids that share a cornercorner with one OMnFe3 tetrahedra, corners with five OLiMnFe2 trigonal pyramids, and an edgeedge with one OLiMnFe2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn+3.25+ and two Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Tm6O13 by Materials Project

Ba4Tm6O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.33 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.21 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.22 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.29 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.31 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.23 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.20 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.34 Å. There are twelve inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Tm–O bond distances ranging from 2.09–2.36 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Tm–O bond distances ranging from 2.15–2.39 Å. In the third Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the fourth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the fifth Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Tm–O bond distances ranging from 2.16–2.41 Å. In the sixth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Tm–O bond distances ranging from 2.09–2.37 Å. In the seventh Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Tm–O bond distances ranging from 2.09–2.36 Å. In the eighth Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Tm–O bond distances ranging from 2.16–2.41 Å. In the ninth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the tenth Tm3+ site, Tm3+ is bonded to five O2- atoms to form TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the eleventh Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Tm–O bond distances ranging from 2.16–2.40 Å. In the twelfth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Tm–O bond distances ranging from 2.09–2.36 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Tm3+ atoms to form distorted edge-sharing OTm4 trigonal pyramids. In the second O2- site, O2- is bonded to four Tm3+ atoms to form distorted edge-sharing OTm4 trigonal pyramids. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the fifth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the seventh O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–69°. In the eighth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the ninth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the tenth O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–70°. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the fifteenth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedral tilt angles are 3°. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the nineteenth O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 25–70°. In the twentieth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-first O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedral tilt angles are 3°. In the twenty-second O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–69°. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8ScFe7(SiO3)16 by Materials Project

Li8ScFe7(SiO3)16 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.57 Å. In the second 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 2.08–2.55 Å. In the third 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 2.07–2.58 Å. In the fourth 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 2.07–2.59 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 2.07–2.57 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.57 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.59 Å. In the eighth 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 2.07–2.57 Å. Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.00–2.22 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ScO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ScO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–61°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one F

36 MATERIALS SCIENCE↗