Na3MgGaP2SO12 crystallizes in the monoclinic Cc space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded in a 8-coordinate geometry to one O(11), one O(12), one O(5), one O(6), one O(7), one O(9), and two equivalent O(1) atoms. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to one O(10), one O(12), one O(2), one O(3), one O(8), one O(9), and two equivalent O(4) atoms. In the third Na site, Na(3) is bonded in a distorted hexagonal planar geometry to one O(10), one O(11), one O(12), one O(7), one O(8), and one O(9) atom. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. Ga(1) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(6) atom to form distorted GaO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), one O(4), and one O(7) atom to form PO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 30-41°. In the second P site, P(2) is bonded to one O(12), one O(3), one O(5), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-40°. S(1) is bonded to one O(11), one O(2), one O(6), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-36°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to two equivalent Na(1), one Mg(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Na(2), one Mg(1), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Na(2), one Mg(1), and one P(2) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to two equivalent Na(2), one Ga(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one Na(1), one Ga(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Na(1), one Ga(1), and one S(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Na(1), one Na(3), one Mg(1), and one P(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Na(2), one Na(3), one Mg(1), and one P(2) atom. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(3), one Mg(1), and one S(1) atom. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Na(2), one Na(3), one Ga(1), and one P(1) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(3), one Ga(1), and one S(1) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(3), one Ga(1), and one P(2) atom.
Na3MgGaP2SO12 crystallizes in the monoclinic Cc space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded in a 8-coordinate geometry to one O(11), one O(12), one O(5), one O(6), one O(7), one O(9), and two equivalent O(1) atoms. The Na(1)-O(11) bond length is 2.49 Å. The Na(1)-O(12) bond length is 2.37 Å. The Na(1)-O(5) bond length is 2.70 Å. The Na(1)-O(6) bond length is 2.60 Å. The Na(1)-O(7) bond length is 2.40 Å. The Na(1)-O(9) bond length is 2.48 Å. There is one shorter (2.55 Å) and one longer (2.89 Å) Na(1)-O(1) bond length. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to one O(10), one O(12), one O(2), one O(3), one O(8), one O(9), and two equivalent O(4) atoms. The Na(2)-O(10) bond length is 2.42 Å. The Na(2)-O(12) bond length is 2.56 Å. The Na(2)-O(2) bond length is 2.93 Å. The Na(2)-O(3) bond length is 2.40 Å. The Na(2)-O(8) bond length is 2.30 Å. The Na(2)-O(9) bond length is 2.48 Å. There is one shorter (2.71 Å) and one longer (2.76 Å) Na(2)-O(4) bond length. In the third Na site, Na(3) is bonded in a distorted hexagonal planar geometry to one O(10), one O(11), one O(12), one O(7), one O(8), and one O(9) atom. The Na(3)-O(10) bond length is 2.51 Å. The Na(3)-O(11) bond length is 2.62 Å. The Na(3)-O(12) bond length is 2.46 Å. The Na(3)-O(7) bond length is 2.44 Å. The Na(3)-O(8) bond length is 2.43 Å. The Na(3)-O(9) bond length is 2.64 Å. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. The Mg(1)-O(1) bond length is 2.06 Å. The Mg(1)-O(2) bond length is 1.98 Å. The Mg(1)-O(3) bond length is 2.01 Å. The Mg(1)-O(7) bond length is 2.08 Å. The Mg(1)-O(8) bond length is 2.10 Å. The Mg(1)-O(9) bond length is 2.13 Å. Ga(1) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(6) atom to form distorted GaO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. The Ga(1)-O(10) bond length is 1.96 Å. The Ga(1)-O(11) bond length is 2.23 Å. The Ga(1)-O(12) bond length is 2.02 Å. The Ga(1)-O(4) bond length is 1.94 Å. The Ga(1)-O(5) bond length is 1.91 Å. The Ga(1)-O(6) bond length is 2.18 Å. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), one O(4), and one O(7) atom to form PO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 30-41°. The P(1)-O(1) bond length is 1.53 Å. The P(1)-O(10) bond length is 1.57 Å. The P(1)-O(4) bond length is 1.58 Å. The P(1)-O(7) bond length is 1.53 Å. In the second P site, P(2) is bonded to one O(12), one O(3), one O(5), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-40°. The P(2)-O(12) bond length is 1.60 Å. The P(2)-O(3) bond length is 1.52 Å. The P(2)-O(5) bond length is 1.57 Å. The P(2)-O(8) bond length is 1.53 Å. S(1) is bonded to one O(11), one O(2), one O(6), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-36°. The S(1)-O(11) bond length is 1.49 Å. The S(1)-O(2) bond length is 1.46 Å. The S(1)-O(6) bond length is 1.50 Å. The S(1)-O(9) bond length is 1.50 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to two equivalent Na(1), one Mg(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Na(2), one Mg(1), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Na(2), one Mg(1), and one P(2) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to two equivalent Na(2), one Ga(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one Na(1), one Ga(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Na(1), one Ga(1), and one S(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Na(1), one Na(3), one Mg(1), and one P(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Na(2), one Na(3), one Mg(1), and one P(2) atom. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(3), one Mg(1), and one S(1) atom. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Na(2), one Na(3), one Ga(1), and one P(1) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(3), one Ga(1), and one S(1) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(3), one Ga(1), and one P(2) atom.