Na8Al12SO28 crystallizes in the cubic P-43m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a distorted trigonal non-coplanar geometry to three equivalent O(3) atoms. In the second Na site, Na(2) is bonded to one O(1) and three equivalent O(2) atoms to form NaO4 trigonal pyramids that share  a cornercorner with one S(1)O4 tetrahedra and corners with six equivalent Al(1)O4 tetrahedra. Al(1) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form AlO4 tetrahedra that share corners with four equivalent Al(1)O4 tetrahedra and corners with two equivalent Na(2)O4 trigonal pyramids. S(1) is bonded to four equivalent O(1) atoms to form SO4 tetrahedra that share corners with four equivalent Na(2)O4 trigonal pyramids. There are three inequivalent O sites. In the first O site, O(3) is bonded in a distorted bent 150 degrees geometry to one Na(1) and two equivalent Al(1) atoms. In the second O site, O(1) is bonded in a linear geometry to one Na(2) and one S(1) atom. In the third O site, O(2) is bonded in a 3-coordinate geometry to one Na(2) and two equivalent Al(1) atoms.
Na8Al12SO28 crystallizes in the cubic P-43m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a distorted trigonal non-coplanar geometry to three equivalent O(3) atoms. All Na(1)-O(3) bond lengths are 2.53 Å. In the second Na site, Na(2) is bonded to one O(1) and three equivalent O(2) atoms to form NaO4 trigonal pyramids that share  a cornercorner with one S(1)O4 tetrahedra and corners with six equivalent Al(1)O4 tetrahedra. The Na(2)-O(1) bond length is 2.34 Å. All Na(2)-O(2) bond lengths are 2.40 Å. Al(1) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form AlO4 tetrahedra that share corners with four equivalent Al(1)O4 tetrahedra and corners with two equivalent Na(2)O4 trigonal pyramids. Both Al(1)-O(2) bond lengths are 1.75 Å. Both Al(1)-O(3) bond lengths are 1.76 Å. S(1) is bonded to four equivalent O(1) atoms to form SO4 tetrahedra that share corners with four equivalent Na(2)O4 trigonal pyramids. All S(1)-O(1) bond lengths are 1.49 Å. There are three inequivalent O sites. In the first O site, O(3) is bonded in a distorted bent 150 degrees geometry to one Na(1) and two equivalent Al(1) atoms. In the second O site, O(1) is bonded in a linear geometry to one Na(2) and one S(1) atom. In the third O site, O(2) is bonded in a 3-coordinate geometry to one Na(2) and two equivalent Al(1) atoms.