DOI: 10.17188/1263262
title: Materials Data on Mg5Al34O56 by Materials Project

description: Mg5Al34O56 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Mg–O bond distances ranging from 1.86–2.02 Å. In the second Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mg–O bond distances ranging from 1.87–1.98 Å. In the third Mg site, Mg is bonded to four O 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 1.93–1.96 Å. In the fourth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the fifth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 1.89–2.27 Å. There are twenty-seven inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form corner-sharing AlO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Al–O bond distances ranging from 1.72–2.12 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra, corners with two equivalent AlO4 trigonal pyramids, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.12 Å. In the third Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.72–2.35 Å. In the fourth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. In the fifth Al site, Al is bonded to six O 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 1.89–2.03 Å. In the sixth Al site, Al is bonded to six O 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 1.87–2.14 Å. In the seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Al–O bond distances ranging from 1.78–1.85 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.11 Å. In the ninth Al site, Al is bonded to six O 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 1.91–2.04 Å. In the tenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Al–O bond distances ranging from 1.75–1.93 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. 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 54–60°. There is three shorter (1.81 Å) and one longer (1.87 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to six O 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 1.86–2.07 Å. In the sixteenth Al site, Al is bonded to six O 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 1.86–2.07 Å. In the seventeenth Al site, Al is bonded to six O 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 1.82–2.06 Å. In the eighteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Al–O bond distances ranging from 1.75–1.99 Å. In the nineteenth Al site, Al is bonded to six O 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 1.90–1.99 Å. In the twentieth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 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 twenty-first Al site, Al is bonded to six O 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 1.90–1.99 Å. In the twenty-second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the twenty-third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the twenty-fourth Al site, Al is bonded to six O atoms to form AlO6 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 Al–O bond distances ranging from 1.84–2.02 Å. In the twenty-fifth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.90 Å. In the twenty-sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.80–1.89 Å. In the twenty-seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Al–O bond distances ranging from 1.69–1.96 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the second O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 tetrahedra. In the third O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to three Al atoms. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three 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 distorted trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to four 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 in a distorted trigonal planar geometry to three Al atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. 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 in a distorted trigonal planar geometry to three Al atoms. In the seventeenth O site, O is bonded in a trigonal planar geometry to one Mg and two equivalent Al atoms. In the eighteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twentieth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two OMgAl3 trigonal pyramids, and edges with two OMgAl3 trigonal pyramids. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fifth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, and edges with two equivalent OMgAl3 trigonal pyramids. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-ninth O site, O is bonded to four Al atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the thirty-first O site, O is bonded to one Mg and three Al atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the thirty-second O site, O is bonded to one Mg and three Al atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-fourth O site, O is bonded in a