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DOE OSTI2020

Materials Data on Zn13Sb10 by Materials Project

Zn13Sb10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twenty-six inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.75–2.79 Å. In the second Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.85 Å. In the third Zn2+ site, Zn2+ is bonded in a distorted trigonal planar geometry to three Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.70–2.82 Å. In the fourth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.67–2.88 Å. In the fifth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.82 Å. In the sixth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.85 Å. In the seventh Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.86 Å. In the eighth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.85 Å. In the ninth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.98 Å. In the tenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.78 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.73–2.78 Å. In the twelfth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.83 Å. In the thirteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.82 Å. In the fourteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.81 Å. In the fifteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.80 Å. In the sixteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.80 Å. In the seventeenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.74–3.06 Å. In the eighteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.82 Å. In the nineteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.72–2.91 Å. In the twentieth Zn2+ site, Zn2+ is bonded in a 4-coordinate geometry to four Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.65–2.95 Å. In the twenty-first Zn2+ site, Zn2+ is bonded in a 4-coordinate geometry to four Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.73–2.87 Å. In the twenty-second Zn2+ site, Zn2+ is bonded in a 3-coordinate geometry to three Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.66–2.82 Å. In the twenty-third Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.72–2.98 Å. In the twenty-fourth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.83 Å. In the twenty-fifth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.83 Å. In the twenty-sixth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.96 Å. There are twenty inequivalent Sb+2.60- sites. In the first Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the second Sb+2.60- site, Sb+2.60- is bonded in a 3-coordinate geometry to three Zn2+ atoms. In the third Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the fourth Sb+2.60- site, Sb+2.60- is bonded in a 7-coordinate geometry to seven Zn2+ atoms. In the fifth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the sixth Sb+2.60- site, Sb+2.60- is bonded in a 3-coordinate geometry to four Zn2+ and one Sb+2.60- atom. The Sb–Sb bond length is 2.89 Å. In the seventh Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the eighth Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to four Zn2+ atoms. In the ninth Sb+2.60- site, Sb+2.60- is bonded in a distorted trigonal planar geometry to three Zn2+ and one Sb+2.60- atom. The Sb–Sb bond length is 2.87 Å. In the tenth Sb+2.60- site, Sb+2.60- is bonded in a distorted trigonal planar geometry to three Zn2+ and one Sb+2.60- atom. In the eleventh Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the twelfth Sb+2.60- site, Sb+2.60- is bonded in a 7-coordinate geometry to seven Zn2+ atoms. In the thirteenth Sb+2.60- site, Sb+2.60- is bonded in a 5-coordinate geometry to four Zn2+ and one Sb+2.60- atom. In the fourteenth Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the fifteenth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the sixteenth Sb+2.60- site, Sb+2.60- is bonded in a 4-coordinate geometry to four Zn2+ atoms. In the seventeenth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the eighteenth Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the nineteenth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the twentieth Sb+2.60- site, Sb+2.60- is bonded in a 3-coordinate geometry to three Zn2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na7Ti16O32 by Materials Project

Na7Ti16O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are three shorter (2.16 Å) and one longer (2.17 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Na–O bond distances ranging from 2.15–2.18 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are three shorter (2.15 Å) and one longer (2.18 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. There are sixteen inequivalent Ti+3.56+ sites. In the first Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the second Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the third Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the fourth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.05 Å. In the fifth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the sixth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the seventh Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. In the eighth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the ninth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the tenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.02 Å) and three longer (2.03 Å) Ti–O bond lengths. In the eleventh Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are two shorter (2.01 Å) and four longer (2.03 Å) Ti–O bond lengths. In the twelfth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.07 Å. In the thirteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.06 Å. In the fourteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the fifteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the sixteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the third O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fourth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the seventh O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the ninth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the twelfth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Tm23Se32 by Materials Project

Tm23Se32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Tm sites. In the first Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.77–2.94 Å. In the second Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Tm–Se bond distances ranging from 2.76–2.86 Å. In the third Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Tm–Se bond distances ranging from 2.78–2.87 Å. In the fourth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Tm–Se bond distances ranging from 2.74–2.88 Å. In the fifth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Tm–Se bond distances ranging from 2.77–2.91 Å. In the sixth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Tm–Se bond distances ranging from 2.73–2.88 Å. In the seventh Tm site, Tm is bonded to six Se atoms to form edge-sharing TmSe6 octahedra. There are a spread of Tm–Se bond distances ranging from 2.75–2.90 Å. In the eighth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Tm–Se bond distances ranging from 2.78–2.91 Å. In the ninth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Tm–Se bond distances ranging from 2.81–2.85 Å. In the tenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Tm–Se bond distances ranging from 2.79–2.90 Å. In the eleventh Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.75–2.92 Å. In the twelfth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Tm–Se bond distances ranging from 2.77–2.95 Å. In the thirteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.80–2.83 Å. In the fourteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Tm–Se bond distances ranging from 2.79–2.94 Å. In the fifteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Tm–Se bond distances ranging from 2.74–2.89 Å. In the sixteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Tm–Se bond distances ranging from 2.81–2.87 Å. In the seventeenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Tm–Se bond distances ranging from 2.77–2.90 Å. In the eighteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Tm–Se bond distances ranging from 2.74–2.88 Å. In the nineteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Tm–Se bond distances ranging from 2.75–2.91 Å. In the twentieth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Tm–Se bond distances ranging from 2.79–2.89 Å. In the twenty-first Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Tm–Se bond distances ranging from 2.79–2.90 Å. In the twenty-second Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Tm–Se bond distances ranging from 2.82–2.85 Å. In the twenty-third Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.79–2.90 Å. There are thirty-two inequivalent Se sites. In the first Se site, Se is bonded in a distorted T-shaped geometry to three Tm atoms. In the second Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the third Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fourth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fifth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the sixth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the seventh Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the eighth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the ninth Se site, Se is bonded in a T-shaped geometry to three Tm atoms. In the tenth Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the eleventh Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the twelfth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the thirteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fourteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fifteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the sixteenth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share a cornercorner with one SeTm6 octahedra and an edgeedge with one SeTm5 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the seventeenth Se site, Se is bonded to six Tm atoms to form a mixture of edge and corner-sharing SeTm6 octahedra. In the eighteenth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with four equivalent SeTm5 square pyramids, edges with two equivalent SeTm6 octahedra, and edges with four SeTm5 square pyramids. In the nineteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twentieth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-first Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-second Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with three SeTm5 square pyramids, an edgeedge with one SeTm6 octahedra, and edges with three SeTm5 square pyramids. In the twenty-third Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-fourth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with three SeTm5 square pyramids, an edgeedge with one SeTm6 octahedra, and edges with three SeTm5 square pyramids. In the twenty-fifth Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the twenty-sixth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-seventh Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the twenty-eighth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-ninth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with four equivalent SeTm5 square pyramids, edges with two equivalent SeTm6 octahedra, and edges with four SeTm5 square pyramids. In the thirtieth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the thirty-first Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with four equivalent SeTm6 octahedra, corners with two SeTm5 square pyramids, and edges with four SeTm5 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the thirty-second Se site, Se is bonded in a distorted T-shaped geometry to three Tm atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.96–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.04 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the third Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eighth Ti+3.86+ site, Ti+3.86+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the tenth Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. In the twenty-first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti5O8 by Materials Project

Ti5O8 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Ti+3.20+ sites. In the first Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–61°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the second Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the third Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–O bond distances ranging from 2.01–2.11 Å. In the fourth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Ti–O bond distances ranging from 1.96–2.09 Å. In the fifth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the sixth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.13 Å. In the seventh Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–59°. There are a spread of Ti–O bond distances ranging from 1.88–2.14 Å. In the eighth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.10 Å. In the ninth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Ti–O bond distances ranging from 1.96–2.10 Å. In the tenth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–59°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. In the eleventh Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the twelfth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the thirteenth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.10 Å. In the fourteenth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–58°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the fifteenth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.20+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.20+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.20+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.20+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.20+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.20+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.20+ atoms. In the fourteenth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.20+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.20+ atoms. In the twenty-first O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.20+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.20+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.20+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na7Mn16O32 by Materials Project

Na7Mn16O32 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–71°. There are a spread of Na–O bond distances ranging from 2.17–2.21 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–70°. There are a spread of Na–O bond distances ranging from 2.16–2.19 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are three shorter (2.14 Å) and one longer (2.17 Å) Na–O bond lengths. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–71°. There are a spread of Na–O bond distances ranging from 2.14–2.17 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Na–O bond distances ranging from 2.21–2.26 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–71°. There are a spread of Na–O bond distances ranging from 2.18–2.22 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–73°. There are a spread of Na–O bond distances ranging from 2.14–2.19 Å. There are sixteen inequivalent Mn+3.56+ sites. In the first Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.27 Å. In the second Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.03 Å. In the third Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fourth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.04 Å. In the fifth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the sixth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the seventh Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.28 Å. In the eighth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. In the ninth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.29 Å. In the tenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.02 Å. In the eleventh Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.28 Å. In the twelfth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the thirteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.27 Å. In the fourteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.24 Å. In the fifteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. In the sixteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.29 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the third O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.56+ atoms. In the tenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.29 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.97–3.28 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the eighth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the tenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-first Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZrO2 by Materials Project

ZrO2 crystallizes in the orthorhombic Pmm2 space group. The structure is two-dimensional and consists of one ZrO2 sheet oriented in the (0, 0, 1) direction. there are twenty-four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.51 Å. In the second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.40 Å. In the fifth Zr4+ site, Zr4+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.38 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.44 Å. In the seventh Zr4+ site, Zr4+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are two shorter (2.11 Å) and four longer (2.37 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.48 Å. In the ninth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.47 Å. In the tenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.48 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.50 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 1.97–2.40 Å. In the thirteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.48 Å. In the fourteenth Zr4+ site, Zr4+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.03–2.51 Å. In the fifteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.41 Å. In the sixteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.44 Å. In the seventeenth Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.38 Å. In the eighteenth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.37 Å. In the nineteenth Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.05–2.38 Å. In the twentieth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the twenty-first Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.50 Å. In the twenty-second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.49 Å. In the twenty-third Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.05–2.55 Å. In the twenty-fourth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.51 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Zr4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Zr4+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to four Zr4+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Zr4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to four Zr4+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to four Zr4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to four Zr4+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Zr4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Zr4+ and one O2- atom. The O–O bond length is 1.34 Å. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Zr4+ and one O2- atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Zr4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Zr4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Zr4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to four Zr4+ atoms. In the twenty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to four Zr4+ atoms. In the thirty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fortieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ta2Co4O9 by Materials Project

Ta2Co4O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.27 Å. In the second Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. In the third Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. In the fourth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.27 Å. In the fifth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.86–2.28 Å. In the sixth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.27 Å. In the seventh Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. In the eighth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. There are sixteen inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Co–O bond distances ranging from 2.03–2.29 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Co–O bond distances ranging from 2.03–2.29 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 2.02–2.32 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the fifth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 2.02–2.32 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the seventh Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Co–O bond distances ranging from 2.03–2.27 Å. In the eighth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Co–O bond distances ranging from 2.03–2.27 Å. In the ninth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Co–O bond distances ranging from 2.03–2.29 Å. In the tenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Co–O bond distances ranging from 2.03–2.30 Å. In the eleventh Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the twelfth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the thirteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.02–2.31 Å. In the fourteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.31 Å. In the fifteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Co–O bond distances ranging from 2.03–2.27 Å. In the sixteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Co–O bond distances ranging from 2.04–2.27 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the second O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the ninth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the seventeenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the thirty-fifth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf23Se25 by Materials Project

Hf23Se25 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Hf sites. In the first Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.70–2.76 Å. In the second Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.72–2.75 Å. In the third Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.75 Å. In the fourth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.77 Å. In the fifth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.70–2.78 Å. In the sixth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.77 Å. In the seventh Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.79 Å. In the eighth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.72–2.74 Å. In the ninth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.70–2.76 Å. In the tenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.76 Å. In the eleventh Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.70–2.75 Å. In the twelfth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.77 Å. In the thirteenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.70–2.75 Å. In the fourteenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.75 Å. In the fifteenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.72–2.75 Å. In the sixteenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.72–2.74 Å. In the seventeenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.75 Å. In the eighteenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.70–2.77 Å. In the nineteenth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.72–2.74 Å. In the twentieth Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.74 Å. In the twenty-first Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.74 Å. In the twenty-second Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.75 Å. In the twenty-third Hf site, Hf is bonded to six Se atoms to form a mixture of distorted corner, edge, and face-sharing HfSe6 pentagonal pyramids. There are a spread of Hf–Se bond distances ranging from 2.69–2.76 Å. There are twenty-five inequivalent Se sites. In the first Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with five SeHf6 pentagonal pyramids, edges with three SeHf6 pentagonal pyramids, an edgeedge with one SeHf5 trigonal bipyramid, and a faceface with one SeHf6 pentagonal pyramid. In the second Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the third Se site, Se is bonded to six Hf atoms to form a mixture of distorted corner, edge, and face-sharing SeHf6 pentagonal pyramids. In the fourth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with five SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with two SeHf6 pentagonal pyramids, and faces with two SeHf6 pentagonal pyramids. In the fifth Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the sixth Se site, Se is bonded to six Hf atoms to form a mixture of distorted corner, edge, and face-sharing SeHf6 pentagonal pyramids. In the seventh Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the eighth Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the ninth Se site, Se is bonded to six Hf atoms to form a mixture of distorted corner, edge, and face-sharing SeHf6 pentagonal pyramids. In the tenth Se site, Se is bonded to six Hf atoms to form a mixture of distorted corner, edge, and face-sharing SeHf6 pentagonal pyramids. In the eleventh Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the twelfth Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the thirteenth Se site, Se is bonded to five Hf atoms to form distorted SeHf5 trigonal bipyramids that share corners with seven SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with four SeHf6 pentagonal pyramids, and a faceface with one SeHf6 pentagonal pyramid. In the fourteenth Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the fifteenth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with five SeHf6 pentagonal pyramids, corners with two equivalent SeHf5 trigonal bipyramids, edges with three SeHf6 pentagonal pyramids, and a faceface with one SeHf6 pentagonal pyramid. In the sixteenth Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the seventeenth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with five SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with three SeHf6 pentagonal pyramids, edges with two SeHf5 trigonal bipyramids, and faces with two SeHf6 pentagonal pyramids. In the eighteenth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with six SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with three SeHf6 pentagonal pyramids, edges with two SeHf5 trigonal bipyramids, and a faceface with one SeHf6 pentagonal pyramid. In the nineteenth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with seven SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with three SeHf6 pentagonal pyramids, an edgeedge with one SeHf5 trigonal bipyramid, a faceface with one SeHf6 pentagonal pyramid, and a faceface with one SeHf5 trigonal bipyramid. In the twentieth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with six SeHf6 pentagonal pyramids, corners with two SeHf5 trigonal bipyramids, edges with two SeHf6 pentagonal pyramids, an edgeedge with one SeHf5 trigonal bipyramid, and faces with two SeHf6 pentagonal pyramids. In the twenty-first Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with six SeHf6 pentagonal pyramids, corners with four SeHf5 trigonal bipyramids, edges with three SeHf6 pentagonal pyramids, and faces with two SeHf6 pentagonal pyramids. In the twenty-second Se site, Se is bonded to five Hf atoms to form distorted SeHf5 trigonal bipyramids that share corners with six SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with four SeHf6 pentagonal pyramids, and a faceface with one SeHf6 pentagonal pyramid. In the twenty-third Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms. In the twenty-fourth Se site, Se is bonded to six Hf atoms to form distorted SeHf6 pentagonal pyramids that share corners with seven SeHf6 pentagonal pyramids, a cornercorner with one SeHf5 trigonal bipyramid, edges with three SeHf6 pentagonal pyramids, an edgeedge with one SeHf5 trigonal bipyramid, a faceface with one SeHf6 pentagonal pyramid, and a faceface with one SeHf5 trigonal bipyramid. In the twenty-fifth Se site, Se is bonded in a distorted pentagonal planar geometry to five Hf atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti9S10 by Materials Project

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

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on La26B8O51 by Materials Project

La26O27(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-six inequivalent La sites. In the first La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.39–2.69 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.27–3.17 Å. In the third La site, La is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.43–2.73 Å. In the fourth La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.34–2.61 Å. In the fifth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.28–3.20 Å. In the sixth La site, La is bonded in a 8-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.41–2.69 Å. In the seventh La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.26–2.89 Å. In the eighth La site, La is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.45–2.74 Å. In the ninth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.47–2.79 Å. In the tenth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.34–2.98 Å. In the eleventh La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.35–2.72 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.29–3.01 Å. In the thirteenth La site, La is bonded to seven O atoms to form distorted edge-sharing LaO7 pentagonal bipyramids. There are a spread of La–O bond distances ranging from 2.44–2.67 Å. In the fourteenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.41–2.82 Å. In the fifteenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.96 Å. In the sixteenth La site, La is bonded to seven O atoms to form distorted edge-sharing LaO7 pentagonal bipyramids. There are a spread of La–O bond distances ranging from 2.39–2.69 Å. In the seventeenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.29–3.01 Å. In the eighteenth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.38–2.72 Å. In the nineteenth La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.38–2.52 Å. In the twentieth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.44–2.74 Å. In the twenty-first La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.35–2.96 Å. In the twenty-second La site, La is bonded in a 8-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.41–2.63 Å. In the twenty-third La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.29–3.15 Å. In the twenty-fourth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.38–2.68 Å. In the twenty-fifth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.31–3.15 Å. In the twenty-sixth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.40–2.69 Å. There are eight inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the second B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. All B–O bond lengths are 1.39 Å. In the eighth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are fifty-one inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the second O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the third O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the fourth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the fifth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the seventh O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the eighth O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the ninth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the tenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the eleventh O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the fourteenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the fifteenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the sixteenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the seventeenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the eighteenth O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the nineteenth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the twenty-first O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the twenty-third O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-fourth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-fifth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-seventh O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-eighth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-ninth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the thirty-first O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the thirty-second O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the thirty-third O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-fourth O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the thirty-fifth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-seventh O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-eighth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-ninth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the fortieth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the forty-first O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the forty-second O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-third O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the forty-fourth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-fifth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-seventh O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the forty-eighth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the forty-ninth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the fiftieth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the fifty-first O site, O is bonded in a distorted single-bond geometry to four La and one B atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Tb8O13 by Materials Project

Tb8O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Tb+3.25+ sites. In the first Tb+3.25+ site, Tb+3.25+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.41 Å. In the second Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, an edgeedge with one TbO6 octahedra, and edges with three TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Tb–O bond distances ranging from 2.21–2.41 Å. In the third Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO7 pentagonal bipyramids, edges with two TbO6 octahedra, edges with two TbO7 pentagonal bipyramids, and edges with two TbO6 pentagonal pyramids. There are a spread of Tb–O bond distances ranging from 2.23–2.54 Å. In the fourth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO7 pentagonal bipyramids, edges with three TbO6 octahedra, edges with three TbO7 pentagonal bipyramids, and edges with two TbO6 pentagonal pyramids. There are a spread of Tb–O bond distances ranging from 2.29–2.55 Å. In the fifth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, corners with two TbO7 pentagonal bipyramids, corners with two TbO6 pentagonal pyramids, an edgeedge with one TbO6 octahedra, and edges with three TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Tb–O bond distances ranging from 2.23–2.39 Å. In the sixth Tb+3.25+ site, Tb+3.25+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.30–2.48 Å. In the seventh Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, an edgeedge with one TbO6 octahedra, edges with three TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Tb–O bond distances ranging from 2.27–2.47 Å. In the eighth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO6 pentagonal pyramids, edges with two TbO6 octahedra, and edges with four TbO7 pentagonal bipyramids. There are a spread of Tb–O bond distances ranging from 2.24–2.48 Å. In the ninth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, corners with two TbO6 pentagonal pyramids, and edges with four TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Tb–O bond distances ranging from 2.22–2.40 Å. In the tenth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, an edgeedge with one TbO6 octahedra, edges with four TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Tb–O bond distances ranging from 2.23–2.37 Å. In the eleventh Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, edges with two TbO6 octahedra, and edges with four TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Tb–O bond distances ranging from 2.24–2.43 Å. In the twelfth Tb+3.25+ site, Tb+3.25+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.20–2.50 Å. In the thirteenth Tb+3.25+ site, Tb+3.25+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.22–2.60 Å. In the fourteenth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, corners with two TbO7 pentagonal bipyramids, edges with two TbO7 pentagonal bipyramids, and edges with two TbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Tb–O bond distances ranging from 2.26–2.36 Å. In the fifteenth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO7 pentagonal bipyramids, edges with three TbO6 octahedra, edges with two TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. There are a spread of Tb–O bond distances ranging from 2.27–2.47 Å. In the sixteenth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, edges with two TbO6 octahedra, edges with four TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of Tb–O bond distances ranging from 2.24–2.49 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the second O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the third O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the fourth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the fifth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the seventh O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the tenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc29S42 by Materials Project

Sc29S42 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-seven inequivalent Sc+2.90+ sites. In the first Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sc–S bond distances ranging from 2.54–2.64 Å. In the second Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Sc–S bond distances ranging from 2.56–2.62 Å. In the third Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Sc–S bond distances ranging from 2.45–2.68 Å. In the fourth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Sc–S bond distances ranging from 2.34–2.80 Å. In the fifth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Sc–S bond distances ranging from 2.48–2.81 Å. In the sixth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form edge-sharing ScS6 octahedra. There are five shorter (2.55 Å) and one longer (2.58 Å) Sc–S bond lengths. In the seventh Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form edge-sharing ScS6 octahedra. There are two shorter (2.54 Å) and four longer (2.55 Å) Sc–S bond lengths. In the eighth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form edge-sharing ScS6 octahedra. There are five shorter (2.55 Å) and one longer (2.56 Å) Sc–S bond lengths. In the ninth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form edge-sharing ScS6 octahedra. There are four shorter (2.55 Å) and two longer (2.56 Å) Sc–S bond lengths. In the tenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Sc–S bond distances ranging from 2.48–2.81 Å. In the eleventh Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form edge-sharing ScS6 octahedra. There are a spread of Sc–S bond distances ranging from 2.54–2.58 Å. In the twelfth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Sc–S bond distances ranging from 2.56–2.62 Å. In the thirteenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Sc–S bond distances ranging from 2.34–2.80 Å. In the fourteenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Sc–S bond distances ranging from 2.45–2.68 Å. In the fifteenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sc–S bond distances ranging from 2.55–2.65 Å. In the sixteenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sc–S bond distances ranging from 2.55–2.64 Å. In the seventeenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Sc–S bond lengths are 2.62 Å. In the eighteenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–S bond distances ranging from 2.56–2.64 Å. In the nineteenth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–S bond distances ranging from 2.56–2.65 Å. In the twentieth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–S bond distances ranging from 2.55–2.64 Å. In the twenty-first Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–S bond distances ranging from 2.56–2.63 Å. In the twenty-second Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–S bond distances ranging from 2.60–2.63 Å. In the twenty-third Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–S bond distances ranging from 2.61–2.63 Å. In the twenty-fourth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.61 Å) and four longer (2.62 Å) Sc–S bond lengths. In the twenty-fifth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–S bond distances ranging from 2.60–2.63 Å. In the twenty-sixth Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are four shorter (2.61 Å) and two longer (2.63 Å) Sc–S bond lengths. In the twenty-seventh Sc+2.90+ site, Sc+2.90+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ScS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–S bond distances ranging from 2.55–2.63 Å. There are thirty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the second S2- site, S2- is bonded to five Sc+2.90+ atoms to form a mixture of edge and corner-sharing SSc5 square pyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the fifth S2- site, S2- is bonded to five Sc+2.90+ atoms to form a mixture of edge and corner-sharing SSc5 square pyramids. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Sc+2.90+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sc+2.90+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Sc+2.90+ atoms. In the sixteenth S2- site, S2- is bonded to five Sc+2.90+ atoms to form a mixture of edge and corner-sharing SSc5 square pyramids. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the eighteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the nineteenth S2- site, S2- is bonded to five Sc+2.90+ atoms to form a mixture of edge and corner-sharing SSc5 square pyramids. In the twentieth S2- site, S2- is bonded to five Sc+2.90+ atoms to form SSc5 square pyramids that share corners with two equivalent SSc6 octahedra, a cornercorner with one SSc5 square pyramid, edges with five SSc6 octahedra, and edges with two equivalent SSc5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twenty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the twenty-second S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with two equivalent SSc6 octahedra, corners with two equivalent SSc5 square pyramids, edges with five SSc6 octahedra, and edges with five SSc5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the twenty-third S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with two equivalent SSc6 octahedra, corners with two equivalent SSc5 square pyramids, edges with five SSc6 octahedra, and edges with five SSc5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the twenty-fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the twenty-fifth S2- site, S2- is bonded to five Sc+2.90+ atoms to form SSc5 square pyramids that share corners with two equivalent SSc6 octahedra, a cornercorner with one SSc5 square pyramid, edges with five SSc6 octahedra, and edges with two equivalent SSc5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twenty-sixth S2- site, S2- is bonded to five Sc+2.90+ atoms to form SSc5 square pyramids that share corners with three SSc6 octahedra, edges with five SSc6 octahedra, and edges with two equivalent SSc5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sc+2.90+ atoms. In the twenty-eighth S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with five SSc6 octahedra, edges with ten SSc6 octahedra, and edges with two equivalent SSc5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the twenty-ninth S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with three SSc6 octahedra, corners with two equivalent SSc5 square pyramids, edges with seven SSc6 octahedra, and edges with three equivalent SSc5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the thirtieth S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with five SSc6 octahedra, a cornercorner with one SSc5 square pyramid, and edges with twelve SSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirty-first S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with five SSc6 octahedra, a cornercorner with one SSc5 square pyramid, and edges with twelve SSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirty-second S2- site, S2- is bonded to six Sc+2.90+ atoms to form SSc6 octahedra that share corners with three SSc6 octahedra, corners with two equivalent SSc5 square pyramids, edges with seven SSc6 octahedra, and edges with three equivalent SSc5 square pyramids. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nb39C34 by Materials Project

Nb29C28(Nb3C2)2(Nb2C)2 crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one Nb29C28 sheet oriented in the (0, 0, 1) direction; two Nb2C sheets oriented in the (0, 0, 1) direction; and two Nb3C2 sheets oriented in the (0, 0, 1) direction. In the Nb29C28 sheet, there are thirteen inequivalent Nb+3.49+ sites. In the first Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.18 Å. In the second Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are three shorter (2.23 Å) and three longer (2.27 Å) Nb–C bond lengths. In the third Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.26 Å) and three longer (2.27 Å) Nb–C bond lengths. In the fourth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Nb–C bond lengths are 2.25 Å. In the fifth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.26 Å) Nb–C bond lengths. In the sixth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the seventh Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the eighth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the ninth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the tenth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the eleventh Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the twelfth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–C bond lengths are 2.24 Å. In the thirteenth Nb+3.49+ site, Nb+3.49+ is bonded to six equivalent C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–C bond lengths are 2.25 Å. There are twelve inequivalent C4- sites. In the first C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the third C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eleventh C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In each Nb2C sheet, there are two inequivalent Nb+3.49+ sites. In the first Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.22 Å. In the second Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.23 Å. C4- is bonded to six Nb+3.49+ atoms to form edge-sharing CNb6 octahedra. In each Nb3C2 sheet, there are three inequivalent Nb+3.49+ sites. In the first Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.17 Å. In the second Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form edge-sharing NbC6 octahedra. All Nb–C bond lengths are 2.29 Å. In the third Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.17 Å. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KBiO3 by Materials Project

KBiO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.64–3.14 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.16 Å. In the third K1+ site, K1+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.53–3.23 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.29 Å. In the fifth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.84 Å. In the sixth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.86 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.56–3.28 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–3.05 Å. In the ninth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.14 Å. In the tenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.11 Å. In the eleventh K1+ site, K1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.59–3.06 Å. In the twelfth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.12 Å. In the thirteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.06 Å. In the fourteenth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.57–2.83 Å. In the fifteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.13 Å. In the sixteenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.86 Å. In the seventeenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–2.87 Å. In the eighteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.18 Å. There are eighteen inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.14–2.19 Å. In the third Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the fourth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.11–2.20 Å. In the fifth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the sixth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the seventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the eighth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the ninth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Bi–O bond distances ranging from 2.10–2.20 Å. In the tenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Bi–O bond distances ranging from 2.14–2.20 Å. In the eleventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the twelfth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the thirteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.22 Å. In the fourteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.14–2.17 Å. In the fifteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the sixteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the seventeenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the eighteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the sixth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifteenth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twentieth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-second O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-ninth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the thirty-third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the forty-second O2- site, O2-

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Yb16S29 by Materials Project

Yb16S29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of distorted face, edge, and corner-sharing YbS6 square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Yb–S bond distances ranging from 2.77–3.33 Å. In the second Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven S+1.66- atoms. There are a spread of Yb–S bond distances ranging from 2.79–3.30 Å. In the third Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of distorted face, edge, and corner-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Yb–S bond distances ranging from 2.77–3.22 Å. In the fourth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form distorted YbS6 octahedra that share corners with two equivalent YbS6 octahedra, corners with two equivalent YbS6 square pyramids, edges with five YbS6 octahedra, an edgeedge with one YbS5 square pyramid, and a faceface with one YbS6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Yb–S bond distances ranging from 2.76–3.13 Å. In the fifth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form distorted YbS6 octahedra that share corners with two equivalent YbS6 octahedra, corners with two equivalent YbS5 square pyramids, and edges with six YbS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Yb–S bond distances ranging from 2.76–3.10 Å. In the sixth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of distorted edge and corner-sharing YbS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Yb–S bond distances ranging from 2.74–3.11 Å. In the seventh Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form YbS6 octahedra that share corners with four YbS6 octahedra, edges with six YbS6 octahedra, and an edgeedge with one YbS5 square pyramid. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Yb–S bond distances ranging from 2.77–3.04 Å. In the eighth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of edge and corner-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Yb–S bond distances ranging from 2.76–3.08 Å. In the ninth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form distorted YbS6 octahedra that share corners with two equivalent YbS6 octahedra, edges with seven YbS6 octahedra, and an edgeedge with one YbS5 square pyramid. The corner-sharing octahedral tilt angles are 3°. There are a spread of Yb–S bond distances ranging from 2.77–3.26 Å. In the tenth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of distorted edge and corner-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Yb–S bond distances ranging from 2.78–3.16 Å. In the eleventh Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of edge and corner-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Yb–S bond distances ranging from 2.79–3.04 Å. In the twelfth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form a mixture of edge and corner-sharing YbS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Yb–S bond distances ranging from 2.78–3.19 Å. In the thirteenth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form YbS6 octahedra that share corners with two equivalent YbS6 octahedra, corners with two equivalent YbS5 square pyramids, edges with five YbS6 octahedra, and an edgeedge with one YbS6 square pyramid. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Yb–S bond distances ranging from 2.76–3.05 Å. In the fourteenth Yb3+ site, Yb3+ is bonded in a 5-coordinate geometry to seven S+1.66- atoms. There are a spread of Yb–S bond distances ranging from 2.78–3.33 Å. In the fifteenth Yb3+ site, Yb3+ is bonded to six S+1.66- atoms to form distorted YbS6 octahedra that share corners with four YbS6 octahedra, edges with four YbS6 octahedra, an edgeedge with one YbS5 square pyramid, and a faceface with one YbS6 square pyramid. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Yb–S bond distances ranging from 2.77–3.10 Å. In the sixteenth Yb3+ site, Yb3+ is bonded to five S+1.66- atoms to form a mixture of edge and corner-sharing YbS5 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Yb–S bond distances ranging from 2.75–2.78 Å. There are twenty-nine inequivalent S+1.66- sites. In the first S+1.66- site, S+1.66- is bonded in a distorted trigonal non-coplanar geometry to one Yb3+ and two S+1.66- atoms. There is one shorter (1.98 Å) and one longer (1.99 Å) S–S bond length. In the second S+1.66- site, S+1.66- is bonded in a 3-coordinate geometry to two Yb3+ and one S+1.66- atom. In the third S+1.66- site, S+1.66- is bonded in a distorted trigonal non-coplanar geometry to one Yb3+ and two S+1.66- atoms. There are one shorter (2.01 Å) and one longer (2.11 Å) S–S bond lengths. In the fourth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the fifth S+1.66- site, S+1.66- is bonded in a 3-coordinate geometry to two Yb3+ and one S+1.66- atom. In the sixth S+1.66- site, S+1.66- is bonded in a 2-coordinate geometry to one Yb3+ and two S+1.66- atoms. The S–S bond length is 2.15 Å. In the seventh S+1.66- site, S+1.66- is bonded in a distorted L-shaped geometry to one Yb3+ and one S+1.66- atom. The S–S bond length is 1.94 Å. In the eighth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the ninth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the tenth S+1.66- site, S+1.66- is bonded in a 3-coordinate geometry to two Yb3+ and one S+1.66- atom. The S–S bond length is 2.00 Å. In the eleventh S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twelfth S+1.66- site, S+1.66- is bonded in a distorted L-shaped geometry to one Yb3+ and one S+1.66- atom. The S–S bond length is 1.98 Å. In the thirteenth S+1.66- site, S+1.66- is bonded in a 3-coordinate geometry to one Yb3+ and two S+1.66- atoms. The S–S bond length is 1.96 Å. In the fourteenth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the fifteenth S+1.66- site, S+1.66- is bonded in a distorted trigonal non-coplanar geometry to one Yb3+ and two S+1.66- atoms. In the sixteenth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the seventeenth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the eighteenth S+1.66- site, S+1.66- is bonded in a 3-coordinate geometry to two Yb3+ and one S+1.66- atom. In the nineteenth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twentieth S+1.66- site, S+1.66- is bonded in an L-shaped geometry to one Yb3+ and one S+1.66- atom. In the twenty-first S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-second S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-third S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-fourth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-fifth S+1.66- site, S+1.66- is bonded in an L-shaped geometry to one Yb3+ and one S+1.66- atom. In the twenty-sixth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-seventh S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-eighth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids. In the twenty-ninth S+1.66- site, S+1.66- is bonded to five Yb3+ atoms to form a mixture of edge and corner-sharing SYb5 square pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba20Nb19Se60 by Materials Project

Ba20Nb19Se60 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–25°. There are a spread of Ba–Se bond distances ranging from 3.49–3.68 Å. In the second Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Ba–Se bond distances ranging from 3.50–3.69 Å. In the third Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.71 Å. In the fourth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Ba–Se bond distances ranging from 3.58–3.62 Å. In the fifth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 15–23°. There are a spread of Ba–Se bond distances ranging from 3.55–3.64 Å. In the sixth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Ba–Se bond distances ranging from 3.55–3.62 Å. In the seventh Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–25°. There are a spread of Ba–Se bond distances ranging from 3.49–3.67 Å. In the eighth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.71 Å. In the ninth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.72 Å. In the tenth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 16–23°. There are a spread of Ba–Se bond distances ranging from 3.55–3.64 Å. There are eleven inequivalent Nb sites. In the first Nb site, Nb is bonded to six Se atoms to form distorted NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and a faceface with one NbSe6 octahedra. There are a spread of Nb–Se bond distances ranging from 2.46–2.83 Å. In the second Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are a spread of Nb–Se bond distances ranging from 2.60–2.68 Å. In the third Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.63 Å) and three longer (2.65 Å) Nb–Se bond lengths. In the fourth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are five shorter (2.64 Å) and one longer (2.65 Å) Nb–Se bond lengths. In the fifth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.59 Å) and three longer (2.69 Å) Nb–Se bond lengths. In the sixth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are four shorter (2.64 Å) and two longer (2.65 Å) Nb–Se bond lengths. In the seventh Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.64 Å) and three longer (2.65 Å) Nb–Se bond lengths. In the eighth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are five shorter (2.64 Å) and one longer (2.65 Å) Nb–Se bond lengths. In the ninth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. In the tenth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. In the eleventh Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. There are thirty inequivalent Se sites. In the first Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the second Se site, Se is bonded in a distorted single-bond geometry to four Ba and one Nb atom. In the third Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fourth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–67°. In the fifth Se site, Se is bonded in a distorted single-bond geometry to four Ba and one Nb atom. In the sixth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the seventh Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the eighth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the ninth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the tenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the eleventh Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the twelfth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–68°. In the thirteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the fourteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fifteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–68°. In the sixteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the seventeenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the eighteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the nineteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twentieth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-first Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the twenty-second Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the twenty-third Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-fourth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-fifth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the twenty-sixth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range f

36 MATERIALS SCIENCE↗