Ba4Mg(GeO3)4 crystallizes in the triclinic P1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 6-coordinate geometry to one O(12), one O(7), two equivalent O(1), and two equivalent O(5) atoms. In the second Ba site, Ba(2) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(8), two equivalent O(2), and two equivalent O(6) atoms. In the third Ba site, Ba(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(3), one O(5), and two equivalent O(7) atoms. In the fourth Ba site, Ba(4) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(6), and two equivalent O(8) atoms. Mg(1) is bonded to one O(3), one O(4), one O(7), and one O(9) atom to form distorted MgO4 tetrahedra that share corners with two equivalent Ge(4)O4 tetrahedra. There are four inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(1), one O(11), one O(12), and one O(5) atom to form corner-sharing GeO4 tetrahedra. In the second Ge site, Ge(2) is bonded to one O(11), one O(12), one O(2), and one O(6) atom to form corner-sharing GeO4 tetrahedra. In the third Ge site, Ge(3) is bonded in a 3-coordinate geometry to one O(10), one O(3), and one O(9) atom. In the fourth Ge site, Ge(4) is bonded to one O(10), one O(4), one O(8), and one O(9) atom to form GeO4 tetrahedra that share corners with two equivalent Mg(1)O4 tetrahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), two equivalent Ba(1), and one Ge(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one Ba(4), two equivalent Ba(2), and one Ge(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Ba(3), one Ba(4), one Mg(1), and one Ge(3) atom. In the fourth O site, O(4) is bonded in a distorted water-like geometry to one Ba(4), one Mg(1), and one Ge(4) atom. In the fifth O site, O(5) is bonded to one Ba(3), two equivalent Ba(1), and one Ge(1) atom to form distorted corner-sharing OBa3Ge tetrahedra. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one Ba(4), two equivalent Ba(2), and one Ge(2) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Ba(1), two equivalent Ba(3), and one Mg(1) atom. In the eighth O site, O(8) is bonded to one Ba(2), two equivalent Ba(4), and one Ge(4) atom to form distorted corner-sharing OBa3Ge tetrahedra. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ge(3), and one Ge(4) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one Ba(3), one Ge(3), and one Ge(4) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Ba(2), one Ge(1), and one Ge(2) atom. In the twelfth O site, O(12) is bonded in a distorted bent 120 degrees geometry to one Ba(1), one Ge(1), and one Ge(2) atom.
Ba4Mg(GeO3)4 crystallizes in the triclinic P1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 6-coordinate geometry to one O(12), one O(7), two equivalent O(1), and two equivalent O(5) atoms. The Ba(1)-O(12) bond length is 3.11 Å. The Ba(1)-O(7) bond length is 2.53 Å. There is one shorter (2.92 Å) and one longer (2.96 Å) Ba(1)-O(1) bond length. There is one shorter (2.86 Å) and one longer (2.98 Å) Ba(1)-O(5) bond length. In the second Ba site, Ba(2) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(8), two equivalent O(2), and two equivalent O(6) atoms. The Ba(2)-O(1) bond length is 3.26 Å. The Ba(2)-O(11) bond length is 3.02 Å. The Ba(2)-O(8) bond length is 2.67 Å. There is one shorter (2.81 Å) and one longer (2.88 Å) Ba(2)-O(2) bond length. There is one shorter (2.85 Å) and one longer (3.03 Å) Ba(2)-O(6) bond length. In the third Ba site, Ba(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(3), one O(5), and two equivalent O(7) atoms. The Ba(3)-O(1) bond length is 3.09 Å. The Ba(3)-O(10) bond length is 3.06 Å. The Ba(3)-O(3) bond length is 2.85 Å. The Ba(3)-O(5) bond length is 2.69 Å. There is one shorter (2.65 Å) and one longer (2.71 Å) Ba(3)-O(7) bond length. In the fourth Ba site, Ba(4) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(6), and two equivalent O(8) atoms. The Ba(4)-O(2) bond length is 2.91 Å. The Ba(4)-O(3) bond length is 2.56 Å. The Ba(4)-O(4) bond length is 2.85 Å. The Ba(4)-O(6) bond length is 2.79 Å. There is one shorter (2.72 Å) and one longer (2.97 Å) Ba(4)-O(8) bond length. Mg(1) is bonded to one O(3), one O(4), one O(7), and one O(9) atom to form distorted MgO4 tetrahedra that share corners with two equivalent Ge(4)O4 tetrahedra. The Mg(1)-O(3) bond length is 1.95 Å. The Mg(1)-O(4) bond length is 2.00 Å. The Mg(1)-O(7) bond length is 1.96 Å. The Mg(1)-O(9) bond length is 2.01 Å. There are four inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(1), one O(11), one O(12), and one O(5) atom to form corner-sharing GeO4 tetrahedra. The Ge(1)-O(1) bond length is 1.76 Å. The Ge(1)-O(11) bond length is 1.82 Å. The Ge(1)-O(12) bond length is 1.83 Å. The Ge(1)-O(5) bond length is 1.75 Å. In the second Ge site, Ge(2) is bonded to one O(11), one O(12), one O(2), and one O(6) atom to form corner-sharing GeO4 tetrahedra. The Ge(2)-O(11) bond length is 1.84 Å. The Ge(2)-O(12) bond length is 1.81 Å. The Ge(2)-O(2) bond length is 1.75 Å. The Ge(2)-O(6) bond length is 1.75 Å. In the third Ge site, Ge(3) is bonded in a 3-coordinate geometry to one O(10), one O(3), and one O(9) atom. The Ge(3)-O(10) bond length is 1.90 Å. The Ge(3)-O(3) bond length is 1.82 Å. The Ge(3)-O(9) bond length is 1.96 Å. In the fourth Ge site, Ge(4) is bonded to one O(10), one O(4), one O(8), and one O(9) atom to form GeO4 tetrahedra that share corners with two equivalent Mg(1)O4 tetrahedra. The Ge(4)-O(10) bond length is 1.81 Å. The Ge(4)-O(4) bond length is 1.76 Å. The Ge(4)-O(8) bond length is 1.77 Å. The Ge(4)-O(9) bond length is 1.81 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), two equivalent Ba(1), and one Ge(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one Ba(4), two equivalent Ba(2), and one Ge(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Ba(3), one Ba(4), one Mg(1), and one Ge(3) atom. In the fourth O site, O(4) is bonded in a distorted water-like geometry to one Ba(4), one Mg(1), and one Ge(4) atom. In the fifth O site, O(5) is bonded to one Ba(3), two equivalent Ba(1), and one Ge(1) atom to form distorted corner-sharing OBa3Ge tetrahedra. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one Ba(4), two equivalent Ba(2), and one Ge(2) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Ba(1), two equivalent Ba(3), and one Mg(1) atom. In the eighth O site, O(8) is bonded to one Ba(2), two equivalent Ba(4), and one Ge(4) atom to form distorted corner-sharing OBa3Ge tetrahedra. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ge(3), and one Ge(4) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one Ba(3), one Ge(3), and one Ge(4) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Ba(2), one Ge(1), and one Ge(2) atom. In the twelfth O site, O(12) is bonded in a distorted bent 120 degrees geometry to one Ba(1), one Ge(1), and one Ge(2) atom.