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DOE OSTI2014

Materials Data on Sr14MnAs11 by Materials Project

Sr14MnAs11 crystallizes in the orthorhombic Iba2 space group. The structure is three-dimensional. there are fifteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form SrAs6 octahedra that share corners with eight SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with two equivalent SrAs5 trigonal bipyramids, edges with two equivalent SrAs5 trigonal bipyramids, and faces with two equivalent SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Sr–As bond distances ranging from 3.09–3.44 Å. In the second Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form distorted SrAs6 octahedra that share corners with four SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with two SrAs5 trigonal bipyramids, edges with two SrAs6 octahedra, edges with two equivalent SrAs5 trigonal bipyramids, and faces with two SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Sr–As bond distances ranging from 3.14–3.34 Å. In the third Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form SrAs6 octahedra that share corners with four SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with four SrAs5 trigonal bipyramids, edges with two SrAs6 octahedra, an edgeedge with one SrAs5 trigonal bipyramid, and faces with two SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Sr–As bond distances ranging from 3.20–3.33 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to six As+2.82- atoms. There are a spread of Sr–As bond distances ranging from 3.13–3.78 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Sr–As bond distances ranging from 3.13–3.70 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Sr–As bond distances ranging from 3.11–3.74 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Sr–As bond distances ranging from 3.14–3.68 Å. In the eighth Sr2+ site, Sr2+ is bonded to five As+2.82- atoms to form distorted SrAs5 trigonal bipyramids that share corners with five SrAs6 octahedra, corners with two equivalent SrAs5 trigonal bipyramids, edges with four SrAs6 octahedra, an edgeedge with one MnAs4 tetrahedra, and a faceface with one SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 36–67°. There are a spread of Sr–As bond distances ranging from 3.14–3.30 Å. In the ninth Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form SrAs6 octahedra that share corners with eight SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, a cornercorner with one SrAs5 trigonal bipyramid, an edgeedge with one SrAs5 trigonal bipyramid, faces with two SrAs6 octahedra, and a faceface with one SrAs5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–58°. There are a spread of Sr–As bond distances ranging from 3.09–3.48 Å. In the tenth Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form distorted SrAs6 octahedra that share corners with four SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, edges with two SrAs6 octahedra, edges with two SrAs5 trigonal bipyramids, and faces with two SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–58°. There are a spread of Sr–As bond distances ranging from 3.14–3.33 Å. In the eleventh Sr2+ site, Sr2+ is bonded to five As+2.82- atoms to form distorted SrAs5 trigonal bipyramids that share corners with five SrAs6 octahedra, corners with two equivalent SrAs5 trigonal bipyramids, edges with four SrAs6 octahedra, an edgeedge with one MnAs4 tetrahedra, and a faceface with one SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 34–68°. There are a spread of Sr–As bond distances ranging from 3.15–3.31 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Sr–As bond distances ranging from 3.14–3.77 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Sr–As bond distances ranging from 3.12–3.72 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form SrAs6 octahedra that share corners with four SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with two equivalent SrAs5 trigonal bipyramids, edges with two SrAs6 octahedra, an edgeedge with one SrAs5 trigonal bipyramid, and faces with two SrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Sr–As bond distances ranging from 3.19–3.35 Å. In the fifteenth Sr2+ site, Sr2+ is bonded to six As+2.82- atoms to form SrAs6 octahedra that share corners with eight SrAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, faces with two equivalent SrAs6 octahedra, and faces with two equivalent SrAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Sr–As bond distances ranging from 3.10–3.41 Å. Mn3+ is bonded to four As+2.82- atoms to form MnAs4 tetrahedra that share corners with twelve SrAs6 octahedra and edges with two SrAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 39–48°. All Mn–As bond lengths are 2.59 Å. There are eleven inequivalent As+2.82- sites. In the first As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to eight Sr2+ atoms. In the second As+2.82- site, As+2.82- is bonded in a 1-coordinate geometry to seven Sr2+ and one Mn3+ atom. In the third As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Sr2+ and one Mn3+ atom. In the fourth As+2.82- site, As+2.82- is bonded in a 8-coordinate geometry to eight Sr2+ atoms. In the fifth As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to eight Sr2+ atoms. In the sixth As+2.82- site, As+2.82- is bonded in a 1-coordinate geometry to seven Sr2+ and one Mn3+ atom. In the seventh As+2.82- site, As+2.82- is bonded to seven Sr2+ atoms to form distorted corner-sharing AsSr7 pentagonal bipyramids. In the eighth As+2.82- site, As+2.82- is bonded in a 9-coordinate geometry to eight Sr2+ and one As+2.82- atom. The As–As bond length is 2.76 Å. In the ninth As+2.82- site, As+2.82- is bonded in a 9-coordinate geometry to eight Sr2+ and one As+2.82- atom. In the tenth As+2.82- site, As+2.82- is bonded to seven Sr2+ atoms to form distorted corner-sharing AsSr7 pentagonal bipyramids. In the eleventh As+2.82- site, As+2.82- is bonded in a 1-coordinate geometry to seven Sr2+ and one Mn3+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.08 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.09 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 1.94–2.00 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.05 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There is two shorter (1.89 Å) and four longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is three shorter (1.82 Å) and one longer (1.88 Å) Al–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded to two Mg2+ and two Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two OMg2Al2 trigonal pyramids, and edges with two OMg2Al2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two equivalent OMg2Al2 trigonal pyramids, and edges with two equivalent OMg2Al2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two equivalent OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two equivalent OMgAl3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two OMgAl3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted corner-sharing OMg2Al2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra and corners with three OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg7Al22O40 by Materials Project

Mg7Al22O40 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Mg–O bond distances ranging from 1.96–1.99 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.05 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There is one shorter (1.93 Å) and three longer (1.97 Å) Mg–O bond length. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–1.98 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.93 Å) and one longer (2.03 Å) Mg–O bond length. There are seventeen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Al–O bond distances ranging from 1.77–1.87 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Al–O bond distances ranging from 1.77–1.90 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.01 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Al–O bond distances ranging from 1.81–1.86 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Al–O bond distances ranging from 1.78–1.88 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.01 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.07 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.89 Å) and three longer (1.97 Å) Al–O bond length. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.99 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.97 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.73–1.89 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form corner-sharing OMg2Al2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Al2CuO4 by Materials Project

CuAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Cu–O bond distances ranging from 1.95–1.97 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.10 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.12 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.15 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–65°. There are a spread of Cu–O bond distances ranging from 1.98–2.02 Å. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is one shorter (1.97 Å) and three longer (2.00 Å) Cu–O bond length. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Cu–O bond distances ranging from 1.95–2.04 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.00 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There is two shorter (1.83 Å) and two longer (1.84 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There is five shorter (1.92 Å) and one longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.81–1.89 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the second O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded to two Cu2+ and two Al3+ atoms to form distorted OAl2Cu2 trigonal pyramids that share corners with four OAl3Cu tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with two OAl2Cu2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted OAl2Cu2 trigonal pyramids that share corners with four OAl3Cu tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with two equivalent OAl2Cu2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu tetrahedra that share corners with two equivalent OAl3Cu tetrahedra, corners with four OAl2Cu2 trigonal pyramids, and edges with two equivalent OAl3Cu tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu tetrahedra that share corners with two OAl3Cu tetrahedra, corners with four OAl2Cu2 trigonal pyramids, and edges with two OAl3Cu tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted corner-sharing OAl2Cu2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with three OAl3Cu trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra and corners with three OAl3Cu trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the nineteenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with three OAl3Cu trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form corner-sharing OAl3Cu tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgSiO3 by Materials Project

MgSiO3 is Esseneite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eighteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.07 Å. In the third Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.44 Å. In the fourth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.08–2.62 Å. In the fifth Mg2+ site, Mg2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.47 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.61 Å. In the seventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.19–2.48 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.06 Å. In the ninth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.46 Å. In the tenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.58 Å. In the eleventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.48 Å. In the twelfth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.11–2.63 Å. In the thirteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.04 Å. In the fifteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.50 Å. In the sixteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.12–2.60 Å. In the seventeenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the eighteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.43 Å. There are eighteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO6 octahedra and corners with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the fifth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.78–1.82 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the ninth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.81–1.83 Å. In the tenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.77–1.84 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fourteenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.79–1.82 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. All Si–O bond lengths are 1.65 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-sixth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramid

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on GaAsO4 by Materials Project

GaAsO4 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three GaO6 octahedra, corners with seven AsO6 octahedra, and an edgeedge with one AsO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Ga–O bond distances ranging from 1.93–2.13 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three GaO6 octahedra, corners with seven AsO6 octahedra, and an edgeedge with one AsO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Ga–O bond distances ranging from 1.91–2.18 Å. In the third Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three GaO6 octahedra, corners with seven AsO6 octahedra, and an edgeedge with one AsO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Ga–O bond distances ranging from 1.93–2.13 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three GaO6 octahedra, corners with seven AsO6 octahedra, and an edgeedge with one AsO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ga–O bond distances ranging from 1.93–2.16 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three GaO6 octahedra, corners with seven AsO6 octahedra, and an edgeedge with one AsO6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Ga–O bond distances ranging from 1.91–2.17 Å. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three GaO6 octahedra, corners with seven AsO6 octahedra, and an edgeedge with one AsO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ga–O bond distances ranging from 1.93–2.15 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two AsO6 octahedra, corners with six GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ga–O bond distances ranging from 1.94–2.03 Å. In the eighth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two AsO6 octahedra, corners with six GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Ga–O bond distances ranging from 1.94–2.09 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two AsO6 octahedra, corners with six GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Ga–O bond distances ranging from 1.93–2.09 Å. There are nine inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two AsO6 octahedra, corners with six GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of As–O bond distances ranging from 1.84–1.92 Å. In the second As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with six GaO6 octahedra, an edgeedge with one GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of As–O bond distances ranging from 1.79–1.91 Å. In the third As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with three GaO6 octahedra, corners with three AsO6 octahedra, and edges with three GaO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of As–O bond distances ranging from 1.80–1.93 Å. In the fourth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with six GaO6 octahedra, an edgeedge with one AsO6 octahedra, and edges with two GaO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of As–O bond distances ranging from 1.82–1.93 Å. In the fifth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with six GaO6 octahedra, an edgeedge with one AsO6 octahedra, and edges with two GaO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of As–O bond distances ranging from 1.82–1.93 Å. In the sixth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two AsO6 octahedra, corners with six GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of As–O bond distances ranging from 1.85–1.94 Å. In the seventh As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two AsO6 octahedra, corners with six GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of As–O bond distances ranging from 1.84–1.92 Å. In the eighth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with six GaO6 octahedra, an edgeedge with one GaO6 octahedra, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of As–O bond distances ranging from 1.79–1.91 Å. In the ninth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with three GaO6 octahedra, corners with three AsO6 octahedra, and edges with three GaO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of As–O bond distances ranging from 1.80–1.93 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ga3+ and one As5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ga3+ and two As5+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Al2CuO4 by Materials Project

CuAl2O4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are eight inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is three shorter (1.95 Å) and one longer (1.97 Å) Cu–O bond length. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.00 Å) and three longer (2.10 Å) Cu–O bond lengths. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.95 Å) and one longer (1.97 Å) Cu–O bond length. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (1.99 Å) and three longer (2.11 Å) Cu–O bond lengths. In the fifth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.93 Å) and one longer (1.98 Å) Cu–O bond length. In the sixth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (1.99 Å) and three longer (2.12 Å) Cu–O bond lengths. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is one shorter (1.95 Å) and three longer (1.97 Å) Cu–O bond length. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are three shorter (1.99 Å) and one longer (2.09 Å) Cu–O bond lengths. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.00 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.02 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.05 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.84 Å) and one longer (1.89 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CuO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.93 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. All Al–O bond lengths are 1.84 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.99 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There is three shorter (1.81 Å) and one longer (1.89 Å) Al–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the second O2- site, O2- is bonded to one Cu2+ and three equivalent Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three equivalent Al3+ atoms. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form distorted corner-sharing OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded to one Cu2+ and three equivalent Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OAl3Cu tetrahedra. In the twelfth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OAl3Cu tetrahedra. In the thirteenth O2- site, O2- is bonded to one Cu2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OAl3Cu trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Cu2+ and three equivalent Al3+ atoms to form corner-sharing OAl3Cu tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–2.00 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.91–1.98 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.97–2.00 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (1.98 Å) Mg–O bond length. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.94–2.01 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.95 Å) and one longer (2.04 Å) Mg–O bond length. There are twenty-one inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.82–1.89 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.83–1.89 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.82–1.88 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.08 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.96 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.97 Å) Al–O bond length. In the nineteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.01 Å. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.08 Å. In the twenty-first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Al–O bond distances ranging from 1.75–1.88 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two equivalent OAl4 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form OMgAl3 tetrahedra that share corners with twelve OMgAl3 trigonal pyramids and edges with three OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three equivalent OMgAl3 tetrahedra, corners with seven OAl4 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In t

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.93 Å) and one longer (2.01 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.93 Å) and one longer (1.98 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.00 Å) and three longer (2.10 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is one shorter (1.93 Å) and three longer (1.96 Å) Mg–O bond length. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.09 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is one shorter (1.95 Å) and three longer (1.97 Å) Mg–O bond length. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedral tilt angles are 59°. All Mg–O bond lengths are 1.96 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There is three shorter (1.97 Å) and one longer (2.00 Å) Mg–O bond length. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is three shorter (1.96 Å) and one longer (1.98 Å) Mg–O bond length. In the tenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There is three shorter (1.96 Å) and one longer (2.01 Å) Mg–O bond length. There are ten inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.04 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.07 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.95 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is one shorter (1.84 Å) and three longer (1.85 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.95 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.95 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.99 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.94 Å) Al–O bond length. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is three shorter (1.83 Å) and one longer (1.86 Å) Al–O bond length. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three equivalent Al3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twentieth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ce10Y22O53 by Materials Project

Ce10Y22O53 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ce sites. In the first Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.26–2.41 Å. In the second Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, edges with three YO6 octahedra, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.27–2.42 Å. In the third Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Ce–O bond distances ranging from 2.20–2.55 Å. In the fourth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.24–2.48 Å. In the fifth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ce–O bond distances ranging from 2.24–2.38 Å. In the sixth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.64 Å. In the seventh Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ce–O bond distances ranging from 2.20–2.38 Å. In the eighth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.21–2.40 Å. In the ninth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Ce–O bond distances ranging from 2.19–2.37 Å. In the tenth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ce–O bond distances ranging from 2.22–2.32 Å. There are twenty-two inequivalent Y sites. In the first Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with three YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Y–O bond distances ranging from 2.27–2.53 Å. In the second Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Y–O bond distances ranging from 2.24–2.33 Å. In the third Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.24–2.40 Å. In the fourth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Y–O bond distances ranging from 2.25–2.33 Å. In the fifth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, corners with three CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Y–O bond distances ranging from 2.23–2.38 Å. In the sixth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Y–O bond distances ranging from 2.26–2.59 Å. In the seventh Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.45 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Y–O bond distances ranging from 2.29–2.47 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Y–O bond distances ranging from 2.25–2.39 Å. In the tenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, edges with three YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.23–2.37 Å. In the eleventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, corners with four YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Y–O bond distances ranging from 2.24–2.42 Å. In the twelfth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Y–O bond distances ranging from 2.28–2.46 Å. In the thirteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with four YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Y–O bond distances ranging from 2.28–2.48 Å. In the fourteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Y–O bond distances ranging from 2.28–2.44 Å. In the fifteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Y–O bond distances ranging from 2.30–2.50 Å. In the sixteenth Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, edges with two YO7 pentagonal bipyramids, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Y–O bond distances ranging from 2.24–2.33 Å. In the seventeenth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is three shorter (1.93 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.93 Å) and one longer (1.97 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.07 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is three shorter (1.93 Å) and one longer (1.96 Å) Mg–O bond length. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There is one shorter (1.93 Å) and three longer (1.96 Å) Mg–O bond length. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.03 Å) and three longer (2.08 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are three shorter (1.97 Å) and one longer (2.06 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.01 Å) and three longer (2.10 Å) Mg–O bond lengths. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.06 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There is three shorter (1.84 Å) and one longer (1.90 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.99 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There is three shorter (1.84 Å) and one longer (1.86 Å) Al–O bond length. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.94 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is three shorter (1.82 Å) and one longer (1.87 Å) Al–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three equivalent Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three equivalent Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2017

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.94 Å) and one longer (2.02 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.11 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.11 Å. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.97–2.00 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Mg–O bond distances ranging from 1.95–1.97 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Mg–O bond distances ranging from 1.94–2.00 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.94–1.97 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There is one shorter (1.95 Å) and three longer (1.97 Å) Mg–O bond length. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Mg–O bond distances ranging from 1.95–1.98 Å. In the tenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There is one shorter (1.95 Å) and three longer (1.97 Å) Mg–O bond length. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is one shorter (1.95 Å) and three longer (1.97 Å) Mg–O bond length. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Mg–O bond distances ranging from 1.95–1.98 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is three shorter (1.96 Å) and one longer (1.98 Å) Mg–O bond length. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There is three shorter (1.96 Å) and one longer (2.01 Å) Mg–O bond length. There are twenty-one inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Al–O bond distances ranging from 1.81–1.85 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.06 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.99 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.06 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.08 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.00 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.95 Å) Al–O bond length. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.93 Å) and three longer (1.94 Å) Al–O bond length. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.95 Å) Al–O bond length. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.95 Å) Al–O bond length. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.98 Å. In the nineteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.94 Å) Al–O bond length. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.98 Å. In the twenty-first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is three shorter (1.82 Å) and one longer (1.83 Å) Al–O bond length. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form corner-sharing OMgAl3 tetrahedra. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three equivalent OMgAl3 tetrahedra, corners with three OMg2Al2 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Mg2+ and two Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with two OMg2Al2 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with two equivalent OMg2Al2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two equivalent OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two equivalent OMgAl3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometr

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Al24Zn3O40 by Materials Project

Zn3Al24O40 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Zn sites. In the first Zn site, Zn is bonded to four O atoms to form ZnO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.94 Å) and one longer (2.00 Å) Zn–O bond length. In the second Zn site, Zn is bonded to four O atoms to form ZnO4 tetrahedra that share corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There is one shorter (1.90 Å) and three longer (1.92 Å) Zn–O bond length. In the third Zn site, Zn is bonded to four O atoms to form ZnO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is one shorter (1.95 Å) and three longer (1.97 Å) Zn–O bond length. There are nineteen inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent ZnO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.95 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three ZnO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.00 Å. In the third Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.78–1.83 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three ZnO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.00 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.02 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There is three shorter (1.78 Å) and one longer (1.91 Å) Al–O bond length. In the seventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.01 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–1.99 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.98 Å. In the tenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.99 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent ZnO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.03 Å. In the twelfth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There is one shorter (1.78 Å) and three longer (1.87 Å) Al–O bond length. In the thirteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There is three shorter (1.76 Å) and one longer (1.81 Å) Al–O bond length. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Al–O bond distances ranging from 1.80–1.87 Å. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.97 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.04 Å. In the seventeenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.77 Å) and one longer (1.89 Å) Al–O bond length. In the eighteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.04 Å. In the nineteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. There are thirty inequivalent O sites. In the first O site, O is bonded to one Zn and three Al atoms to form a mixture of distorted edge and corner-sharing OAl3Zn trigonal pyramids. In the second O site, O is bonded to one Zn and three Al atoms to form distorted edge-sharing OAl3Zn tetrahedra. In the third O site, O is bonded to one Zn and three Al atoms to form a mixture of distorted edge and corner-sharing OAl3Zn trigonal pyramids. In the fourth O site, O is bonded in a trigonal planar geometry to one Zn and two Al atoms. In the fifth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a trigonal planar geometry to one Zn and two equivalent Al atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the eleventh O site, O is bonded to four Al atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twelfth O site, O is bonded in a trigonal planar geometry to one Zn and two equivalent Al atoms. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded to four Al atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded to one Zn and three Al atoms to form distorted OAl3Zn tetrahedra that share corners with two OAl3Zn tetrahedra, edges with two OAl3Zn tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighteenth O site, O is bonded to four Al atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twentieth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-first O site, O is bonded to one Zn and three Al atoms to form distorted OAl3Zn tetrahedra that share corners with two equivalent OAl3Zn tetrahedra, edges with two equivalent OAl3Zn tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-third O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-fifth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Zn and three Al atoms. In the twenty-seventh O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-ninth O site, O is bonded in a distorted tetrahedral geometry to four Al atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ce14Y18O55 by Materials Project

Ce14Y18O55 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Ce sites. In the first Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, edges with two YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ce–O bond distances ranging from 2.22–2.48 Å. In the second Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.30–2.48 Å. In the third Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ce–O bond distances ranging from 2.24–2.44 Å. In the fourth Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.41 Å. In the fifth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Ce–O bond distances ranging from 2.27–2.47 Å. In the sixth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.22–2.59 Å. In the seventh Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.42 Å. In the eighth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.49 Å. In the ninth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ce–O bond distances ranging from 2.20–2.37 Å. In the tenth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.26–2.70 Å. In the eleventh Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.45 Å. In the twelfth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.30–2.46 Å. In the thirteenth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ce–O bond distances ranging from 2.23–2.40 Å. In the fourteenth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, and an edgeedge with one YO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Ce–O bond distances ranging from 2.22–2.35 Å. There are eighteen inequivalent Y sites. In the first Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Y–O bond distances ranging from 2.22–2.41 Å. In the second Y site, Y is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Y–O bond distances ranging from 2.27–2.52 Å. In the third Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Y–O bond distances ranging from 2.27–2.58 Å. In the fourth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with two YO7 hexagonal pyramids, an edgeedge with one CeO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.25–2.45 Å. In the fifth Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Y–O bond distances ranging from 2.22–2.34 Å. In the sixth Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share corners with two YO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the seventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, and edges with two YO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Y–O bond distances ranging from 2.23–2.34 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.27–2.44 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, and an edgeedge with one YO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the tenth Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, and an edgeedge with one CeO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Y–O bond distances ranging from 2.25–2.42 Å. In the eleventh Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.55 Å. In the twelfth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the thirteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Y–O bond distances ranging from 2.24–2.37 Å. In the fourteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.24–2.32 Å. In the fifteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with three YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the sixteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Y–O bond distances ra

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca14MnP11 by Materials Project

Ca14MnP11 crystallizes in the orthorhombic Iba2 space group. The structure is three-dimensional. there are fifteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form CaP6 octahedra that share corners with eight CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, corners with two equivalent CaP5 trigonal bipyramids, edges with two equivalent CaP5 trigonal bipyramids, and faces with two equivalent CaP6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Ca–P bond distances ranging from 2.85–3.18 Å. In the second Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form distorted CaP6 octahedra that share corners with four CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, corners with two CaP5 trigonal bipyramids, edges with two CaP6 octahedra, edges with two equivalent CaP5 trigonal bipyramids, and faces with two CaP6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of Ca–P bond distances ranging from 2.85–3.06 Å. In the third Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form CaP6 octahedra that share corners with four CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, corners with four CaP5 trigonal bipyramids, edges with two CaP6 octahedra, an edgeedge with one CaP5 trigonal bipyramid, and faces with two CaP6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Ca–P bond distances ranging from 2.94–3.07 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six P+2.73- atoms. There are a spread of Ca–P bond distances ranging from 2.89–3.44 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six P+2.73- atoms. There are a spread of Ca–P bond distances ranging from 2.89–3.44 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 4-coordinate geometry to six P+2.73- atoms. There are a spread of Ca–P bond distances ranging from 2.86–3.50 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six P+2.73- atoms. There are a spread of Ca–P bond distances ranging from 2.91–3.40 Å. In the eighth Ca2+ site, Ca2+ is bonded to five P+2.73- atoms to form distorted CaP5 trigonal bipyramids that share corners with five CaP6 octahedra, corners with two equivalent CaP5 trigonal bipyramids, edges with four CaP6 octahedra, an edgeedge with one MnP4 tetrahedra, and a faceface with one CaP6 octahedra. The corner-sharing octahedra tilt angles range from 36–67°. There are a spread of Ca–P bond distances ranging from 2.90–3.04 Å. In the ninth Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form CaP6 octahedra that share corners with eight CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, a cornercorner with one CaP5 trigonal bipyramid, an edgeedge with one CaP5 trigonal bipyramid, faces with two CaP6 octahedra, and a faceface with one CaP5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of Ca–P bond distances ranging from 2.84–3.23 Å. In the tenth Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form distorted CaP6 octahedra that share corners with four CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, edges with two CaP6 octahedra, edges with two CaP5 trigonal bipyramids, and faces with two CaP6 octahedra. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of Ca–P bond distances ranging from 2.86–3.04 Å. In the eleventh Ca2+ site, Ca2+ is bonded to five P+2.73- atoms to form distorted CaP5 trigonal bipyramids that share corners with five CaP6 octahedra, corners with two equivalent CaP5 trigonal bipyramids, edges with four CaP6 octahedra, an edgeedge with one MnP4 tetrahedra, and a faceface with one CaP6 octahedra. The corner-sharing octahedra tilt angles range from 33–69°. There are a spread of Ca–P bond distances ranging from 2.88–3.07 Å. In the twelfth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six P+2.73- atoms. There are a spread of Ca–P bond distances ranging from 2.90–3.42 Å. In the thirteenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six P+2.73- atoms. There are a spread of Ca–P bond distances ranging from 2.89–3.46 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form CaP6 octahedra that share corners with four CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, corners with two equivalent CaP5 trigonal bipyramids, edges with two CaP6 octahedra, an edgeedge with one CaP5 trigonal bipyramid, and faces with two CaP6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Ca–P bond distances ranging from 2.94–3.10 Å. In the fifteenth Ca2+ site, Ca2+ is bonded to six P+2.73- atoms to form CaP6 octahedra that share corners with eight CaP6 octahedra, corners with two equivalent MnP4 tetrahedra, faces with two equivalent CaP6 octahedra, and faces with two equivalent CaP5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Ca–P bond distances ranging from 2.86–3.10 Å. Mn2+ is bonded to four P+2.73- atoms to form MnP4 tetrahedra that share corners with twelve CaP6 octahedra and edges with two CaP5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 40–49°. There are a spread of Mn–P bond distances ranging from 2.41–2.43 Å. There are eleven inequivalent P+2.73- sites. In the first P+2.73- site, P+2.73- is bonded in a 7-coordinate geometry to eight Ca2+ atoms. In the second P+2.73- site, P+2.73- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn2+ atom. In the third P+2.73- site, P+2.73- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn2+ atom. In the fourth P+2.73- site, P+2.73- is bonded in a 8-coordinate geometry to eight Ca2+ atoms. In the fifth P+2.73- site, P+2.73- is bonded in a 7-coordinate geometry to eight Ca2+ atoms. In the sixth P+2.73- site, P+2.73- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn2+ atom. In the seventh P+2.73- site, P+2.73- is bonded to seven Ca2+ atoms to form distorted corner-sharing PCa7 pentagonal bipyramids. In the eighth P+2.73- site, P+2.73- is bonded in a 9-coordinate geometry to eight Ca2+ and one P+2.73- atom. The P–P bond length is 2.37 Å. In the ninth P+2.73- site, P+2.73- is bonded in a 9-coordinate geometry to eight Ca2+ and one P+2.73- atom. In the tenth P+2.73- site, P+2.73- is bonded to seven Ca2+ atoms to form distorted corner-sharing PCa7 pentagonal bipyramids. In the eleventh P+2.73- site, P+2.73- is bonded in a 8-coordinate geometry to seven Ca2+ and one Mn2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2016

Materials Data on Ca14MnAs11 by Materials Project

Ca14MnAs11 crystallizes in the orthorhombic Iba2 space group. The structure is three-dimensional. there are fifteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form CaAs6 octahedra that share corners with eight CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, faces with two CaAs6 octahedra, and a faceface with one CaAs5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Ca–As bond distances ranging from 2.93–3.24 Å. In the second Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form CaAs6 octahedra that share corners with four CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with three equivalent CaAs5 trigonal bipyramids, edges with two CaAs6 octahedra, and faces with two CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of Ca–As bond distances ranging from 3.02–3.10 Å. In the third Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form distorted CaAs6 octahedra that share corners with four CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, a cornercorner with one CaAs5 trigonal bipyramid, edges with two CaAs6 octahedra, edges with two equivalent CaAs5 trigonal bipyramids, and faces with two CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of Ca–As bond distances ranging from 3.00–3.11 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.99–3.57 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.97–3.57 Å. In the sixth Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form CaAs6 octahedra that share corners with four CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, edges with two CaAs6 octahedra, and faces with two CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of Ca–As bond distances ranging from 3.02–3.10 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.98–3.56 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.99–3.18 Å. In the ninth Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form CaAs6 octahedra that share corners with eight CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with two equivalent CaAs5 trigonal bipyramids, edges with two equivalent CaAs5 trigonal bipyramids, and faces with two equivalent CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Ca–As bond distances ranging from 2.94–3.22 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.97–3.56 Å. In the eleventh Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form CaAs6 octahedra that share corners with eight CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, and faces with two equivalent CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Ca–As bond distances ranging from 2.94–3.20 Å. In the twelfth Ca2+ site, Ca2+ is bonded to five As+2.82- atoms to form distorted CaAs5 trigonal bipyramids that share corners with five CaAs6 octahedra, edges with four CaAs6 octahedra, an edgeedge with one MnAs4 tetrahedra, and a faceface with one CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 35–69°. There are a spread of Ca–As bond distances ranging from 2.99–3.17 Å. In the thirteenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.98–3.58 Å. In the fourteenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six As+2.82- atoms. There are a spread of Ca–As bond distances ranging from 2.98–3.54 Å. In the fifteenth Ca2+ site, Ca2+ is bonded to six As+2.82- atoms to form distorted CaAs6 octahedra that share corners with four CaAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, edges with two CaAs6 octahedra, an edgeedge with one CaAs5 trigonal bipyramid, and faces with two CaAs6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Ca–As bond distances ranging from 3.00–3.10 Å. Mn3+ is bonded to four As+2.82- atoms to form MnAs4 tetrahedra that share corners with twelve CaAs6 octahedra and an edgeedge with one CaAs5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 41–49°. There are two shorter (2.52 Å) and two longer (2.53 Å) Mn–As bond lengths. There are eleven inequivalent As+2.82- sites. In the first As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Ca2+ atoms. In the second As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn3+ atom. In the third As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to eight Ca2+ atoms. In the fourth As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn3+ atom. In the fifth As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Ca2+ atoms. In the sixth As+2.82- site, As+2.82- is bonded in a 8-coordinate geometry to eight Ca2+ atoms. In the seventh As+2.82- site, As+2.82- is bonded in a 9-coordinate geometry to eight Ca2+ and one As+2.82- atom. The As–As bond length is 2.83 Å. In the eighth As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to eight Ca2+ atoms. In the ninth As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn3+ atom. In the tenth As+2.82- site, As+2.82- is bonded in a 7-coordinate geometry to seven Ca2+ and one Mn3+ atom. In the eleventh As+2.82- site, As+2.82- is bonded in a 9-coordinate geometry to eight Ca2+ and one As+2.82- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CaMg2TiAl2SiO10 by Materials Project

CaMg2TiAl2SiO10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.68 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.64 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.76 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.77 Å. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one TiO6 octahedra, corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 19–20°. There are a spread of Mg–O bond distances ranging from 2.06–2.30 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.97–2.19 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with three AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.28 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one TiO6 octahedra, corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Mg–O bond distances ranging from 2.09–2.28 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five AlO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.24 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–20°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with four TiO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Al–O bond distances ranging from 1.77–1.84 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra, corners with three TiO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–64°. There are a spread of Al–O bond distances ranging from 1.78–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two TiO6 octahedra, corners with three MgO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Al–O bond distances ranging from 1.76–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with three TiO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with five MgO6 octahedra, and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Al–O bond distances ranging from 1.75–1.89 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two TiO6 octahedra, corners with four MgO6 octahedra, and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–64°. There are a spread of Al–O bond distances ranging from 1.73–1.87 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with four MgO6 octahedra, and corners with two AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and corners with two AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti4+, and one Al3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Ti4+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti4+, and one Al3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Al3+ atom. In the sixth O2- site, O2- is bonded to three Mg2+ and one Ti4+ atom to form distorted OMg3Ti trigonal pyramids that share corners with two OMg3Si tetrahedra, a cornercorner with one OMg2TiAl trigonal pyramid, and an edgeedge with one OMg2TiAl tetrahedra. In the seventh O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form distorted OMg3Si tetrahedra that share a cornercorner with one OMg2TiAl tetrahedra, corners with two OMg3Ti trigonal pyramids, and an edgeedge with one OMg2TiAl tetrahedra. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Al3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Al3+ atom. In the thirteenth O2- site, O2- is bonded to two Mg2+, one Ti4+, and one Al3+ atom to form distorted OMg2TiAl trigonal pyramids that share a cornercorner with one OMg3Si tetrahedra, a cornercorner with one OMg3Ti trigonal pyramid, and an edgeedge with one OMg2TiAl tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded to two Mg2+, one Ti4+, and one Al3+ atom to form distorted OMg2TiAl tetrahedra that share corners with two OMg3Si tetrahedra and a cornercorner with one OMg3Ti trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two Mg2+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a di

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg16Si8HO32 by Materials Project

Mg16Si8HO32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Mg–O bond distances ranging from 2.06–2.18 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 2.07–2.20 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Mg–O bond distances ranging from 2.06–2.18 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two equivalent MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Mg–O bond distances ranging from 2.09–2.30 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two equivalent MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Mg–O bond distances ranging from 2.08–2.29 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of Mg–O bond distances ranging from 2.09–2.26 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two equivalent MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Mg–O bond distances ranging from 2.09–2.26 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three MgO6 octahedra, corners with two SiO4 tetrahedra, edges with four MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Mg–O bond distances ranging from 2.04–2.24 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 2.04–2.25 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Mg–O bond distances ranging from 2.10–2.28 Å. In the twelfth Mg site, Mg is bonded in a 6-coordinate geometry to one H and five O atoms. The Mg–H bond length is 1.97 Å. There are a spread of Mg–O bond distances ranging from 1.93–2.28 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two equivalent MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with eight MgO6 octahedra, corners with four SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Mg–O bond distances ranging from 2.06–2.25 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six MgO6 octahedra and edges with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Si–O bond distances ranging from 1.64–1.69 Å. H is bonded in a distorted single-bond geometry to one Mg and one O atom. The H–O bond length is 1.04 Å. There are thirty-one inequivalent O sites. In the first O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the second O site, O is bonded in a 4-coordinate geometry to three Mg and one Si atom. In the third O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the fourth O site, O is bonded in a distorted trigonal pyramidal geometry to three Mg and one Si atom. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. The O–Mg bond length is 2.14 Å. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. The O–Mg bond length is 2.20 Å. In the sixteenth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si tetrahedra. In the seventeenth O site, O is bonded in a 1-coordinate geometry to two Mg, one Si, and one H atom. In the eighteenth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the nineteenth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-second O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fifth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. The O–Mg bond length is 2.15 Å. In the thirty-first O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids.

36 MATERIALS SCIENCE↗