Na2Mg(SO6)2 crystallizes in the monoclinic P2_1/c space group. Na(1) is bonded to one O(1), one O(4), one O(5), one O(6), and two equivalent O(2) atoms to form NaO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent S(1)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-46°. Mg(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form distorted MgO6 octahedra that share corners with four equivalent Na(1)O6 octahedra and corners with two equivalent S(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 39-46°. S(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra and corners with four equivalent Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 34-55°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a bent 120 degrees geometry to one Na(1) and one S(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Na(1) and one S(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Mg(1) and one S(1) atom. In the fourth O site, O(4) is bonded in a bent 120 degrees geometry to one Na(1) and one S(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Na(1) and one Mg(1) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Na(1) and one Mg(1) atom.
Na2Mg(SO6)2 crystallizes in the monoclinic P2_1/c space group. Na(1) is bonded to one O(1), one O(4), one O(5), one O(6), and two equivalent O(2) atoms to form NaO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent S(1)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-46°. The Na(1)-O(1) bond length is 2.49 Å. The Na(1)-O(4) bond length is 2.49 Å. The Na(1)-O(5) bond length is 2.38 Å. The Na(1)-O(6) bond length is 2.45 Å. There is one shorter (2.43 Å) and one longer (2.44 Å) Na(1)-O(2) bond length. Mg(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form distorted MgO6 octahedra that share corners with four equivalent Na(1)O6 octahedra and corners with two equivalent S(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 39-46°. Both Mg(1)-O(3) bond lengths are 2.09 Å. Both Mg(1)-O(5) bond lengths are 2.03 Å. Both Mg(1)-O(6) bond lengths are 2.07 Å. S(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra and corners with four equivalent Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 34-55°. The S(1)-O(1) bond length is 1.51 Å. The S(1)-O(2) bond length is 1.47 Å. The S(1)-O(3) bond length is 1.49 Å. The S(1)-O(4) bond length is 1.49 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded in a bent 120 degrees geometry to one Na(1) and one S(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Na(1) and one S(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Mg(1) and one S(1) atom. In the fourth O site, O(4) is bonded in a bent 120 degrees geometry to one Na(1) and one S(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Na(1) and one Mg(1) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Na(1) and one Mg(1) atom.