K2MgGd2(MoO4)4 crystallizes in the triclinic P1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 10-coordinate geometry to one O(1), one O(10), one O(12), one O(14), one O(16), one O(2), one O(3), one O(4), one O(5), and one O(7) atom. In the second K site, K(2) is bonded in a 10-coordinate geometry to one Mg(1), one O(1), one O(11), one O(13), one O(15), one O(2), one O(3), one O(4), one O(6), and one O(9) atom. Mg(1) is bonded in a 5-coordinate geometry to one K(2), one O(1), one O(13), one O(14), one O(16), and one O(3) atom. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 8-coordinate geometry to one O(11), one O(13), one O(15), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. In the second Gd site, Gd(2) is bonded in a 8-coordinate geometry to one O(10), one O(12), one O(14), one O(16), one O(5), one O(6), one O(7), and one O(8) atom. There are four inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(1), one O(10), one O(13), one O(4), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 39-48°. In the second Mo site, Mo(2) is bonded to one O(10), one O(14), one O(2), one O(3), one O(8), and one O(9) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 41-49°. In the third Mo site, Mo(3) is bonded to one O(11), one O(12), one O(15), one O(2), one O(3), and one O(5) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 41-49°. In the fourth Mo site, Mo(4) is bonded to one O(1), one O(11), one O(12), one O(16), one O(4), and one O(6) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 39-48°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mg(1), one Mo(1), and one Mo(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(2), and one Mo(3) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mg(1), one Mo(2), and one Mo(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(1), and one Mo(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one K(1), one Gd(1), one Gd(2), and one Mo(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(2), one Gd(1), one Gd(2), and one Mo(4) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one Gd(1), one Gd(2), and one Mo(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Gd(1), one Gd(2), and one Mo(2) atom. In the ninth O site, O(9) is bonded to one K(2), one Gd(1), one Mo(1), and one Mo(2) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 trigonal pyramids. In the tenth O site, O(10) is bonded to one K(1), one Gd(2), one Mo(1), and one Mo(2) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 tetrahedra. In the eleventh O site, O(11) is bonded to one K(2), one Gd(1), one Mo(3), and one Mo(4) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 trigonal pyramids. In the twelfth O site, O(12) is bonded to one K(1), one Gd(2), one Mo(3), and one Mo(4) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 tetrahedra. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one K(2), one Mg(1), one Gd(1), and one Mo(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one Gd(2), and one Mo(2) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 150 degrees geometry to one K(2), one Gd(1), and one Mo(3) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one Gd(2), and one Mo(4) atom.
K2MgGd2(MoO4)4 crystallizes in the triclinic P1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 10-coordinate geometry to one O(1), one O(10), one O(12), one O(14), one O(16), one O(2), one O(3), one O(4), one O(5), and one O(7) atom. The K(1)-O(1) bond length is 3.03 Å. The K(1)-O(10) bond length is 2.83 Å. The K(1)-O(12) bond length is 2.81 Å. The K(1)-O(14) bond length is 2.86 Å. The K(1)-O(16) bond length is 2.94 Å. The K(1)-O(2) bond length is 2.98 Å. The K(1)-O(3) bond length is 3.09 Å. The K(1)-O(4) bond length is 2.99 Å. The K(1)-O(5) bond length is 3.16 Å. The K(1)-O(7) bond length is 3.22 Å. In the second K site, K(2) is bonded in a 10-coordinate geometry to one Mg(1), one O(1), one O(11), one O(13), one O(15), one O(2), one O(3), one O(4), one O(6), and one O(9) atom. The K(2)-Mg(1) bond length is 2.81 Å. The K(2)-O(1) bond length is 2.97 Å. The K(2)-O(11) bond length is 2.76 Å. The K(2)-O(13) bond length is 3.04 Å. The K(2)-O(15) bond length is 3.09 Å. The K(2)-O(2) bond length is 2.54 Å. The K(2)-O(3) bond length is 2.97 Å. The K(2)-O(4) bond length is 2.57 Å. The K(2)-O(6) bond length is 3.31 Å. The K(2)-O(9) bond length is 2.67 Å. Mg(1) is bonded in a 5-coordinate geometry to one K(2), one O(1), one O(13), one O(14), one O(16), and one O(3) atom. The Mg(1)-O(1) bond length is 2.15 Å. The Mg(1)-O(13) bond length is 2.16 Å. The Mg(1)-O(14) bond length is 2.03 Å. The Mg(1)-O(16) bond length is 2.11 Å. The Mg(1)-O(3) bond length is 2.14 Å. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 8-coordinate geometry to one O(11), one O(13), one O(15), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. The Gd(1)-O(11) bond length is 2.35 Å. The Gd(1)-O(13) bond length is 2.31 Å. The Gd(1)-O(15) bond length is 2.38 Å. The Gd(1)-O(5) bond length is 2.76 Å. The Gd(1)-O(6) bond length is 2.39 Å. The Gd(1)-O(7) bond length is 2.82 Å. The Gd(1)-O(8) bond length is 2.37 Å. The Gd(1)-O(9) bond length is 2.39 Å. In the second Gd site, Gd(2) is bonded in a 8-coordinate geometry to one O(10), one O(12), one O(14), one O(16), one O(5), one O(6), one O(7), and one O(8) atom. The Gd(2)-O(10) bond length is 2.28 Å. The Gd(2)-O(12) bond length is 2.31 Å. The Gd(2)-O(14) bond length is 2.34 Å. The Gd(2)-O(16) bond length is 2.54 Å. The Gd(2)-O(5) bond length is 2.46 Å. The Gd(2)-O(6) bond length is 2.54 Å. The Gd(2)-O(7) bond length is 2.45 Å. The Gd(2)-O(8) bond length is 2.53 Å. There are four inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(1), one O(10), one O(13), one O(4), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 39-48°. The Mo(1)-O(1) bond length is 2.13 Å. The Mo(1)-O(10) bond length is 1.93 Å. The Mo(1)-O(13) bond length is 1.94 Å. The Mo(1)-O(4) bond length is 2.05 Å. The Mo(1)-O(7) bond length is 1.85 Å. The Mo(1)-O(9) bond length is 2.22 Å. In the second Mo site, Mo(2) is bonded to one O(10), one O(14), one O(2), one O(3), one O(8), and one O(9) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 41-49°. The Mo(2)-O(10) bond length is 2.23 Å. The Mo(2)-O(14) bond length is 1.93 Å. The Mo(2)-O(2) bond length is 2.12 Å. The Mo(2)-O(3) bond length is 2.01 Å. The Mo(2)-O(8) bond length is 1.88 Å. The Mo(2)-O(9) bond length is 1.95 Å. In the third Mo site, Mo(3) is bonded to one O(11), one O(12), one O(15), one O(2), one O(3), and one O(5) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 41-49°. The Mo(3)-O(11) bond length is 2.31 Å. The Mo(3)-O(12) bond length is 1.96 Å. The Mo(3)-O(15) bond length is 1.81 Å. The Mo(3)-O(2) bond length is 1.86 Å. The Mo(3)-O(3) bond length is 2.14 Å. The Mo(3)-O(5) bond length is 1.85 Å. In the fourth Mo site, Mo(4) is bonded to one O(1), one O(11), one O(12), one O(16), one O(4), and one O(6) atom to form a mixture of distorted corner and edge-sharing MoO6 octahedra. The corner-sharing octahedral tilt angles range from 39-48°. The Mo(4)-O(1) bond length is 1.98 Å. The Mo(4)-O(11) bond length is 1.93 Å. The Mo(4)-O(12) bond length is 2.22 Å. The Mo(4)-O(16) bond length is 1.87 Å. The Mo(4)-O(4) bond length is 1.93 Å. The Mo(4)-O(6) bond length is 1.89 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mg(1), one Mo(1), and one Mo(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(2), and one Mo(3) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mg(1), one Mo(2), and one Mo(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(1), and one Mo(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one K(1), one Gd(1), one Gd(2), and one Mo(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(2), one Gd(1), one Gd(2), and one Mo(4) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one Gd(1), one Gd(2), and one Mo(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Gd(1), one Gd(2), and one Mo(2) atom. In the ninth O site, O(9) is bonded to one K(2), one Gd(1), one Mo(1), and one Mo(2) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 trigonal pyramids. In the tenth O site, O(10) is bonded to one K(1), one Gd(2), one Mo(1), and one Mo(2) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 tetrahedra. In the eleventh O site, O(11) is bonded to one K(2), one Gd(1), one Mo(3), and one Mo(4) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 trigonal pyramids. In the twelfth O site, O(12) is bonded to one K(1), one Gd(2), one Mo(3), and one Mo(4) atom to form a mixture of distorted corner and edge-sharing OKGdMo2 tetrahedra. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one K(2), one Mg(1), one Gd(1), and one Mo(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one Gd(2), and one Mo(2) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 150 degrees geometry to one K(2), one Gd(1), and one Mo(3) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one Gd(2), and one Mo(4) atom.