MgHo2Ag2(WO4)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 5-coordinate geometry to one O(13), one O(2), one O(5), one O(6), and one O(9) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(16), one O(3), one O(5), one O(7), and one O(9) atom. In the second Ho site, Ho(2) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(15), one O(2), one O(4), one O(6), and one O(8) atom. There are four inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(10), one O(11), one O(13), one O(16), and one O(4) atom to form distorted edge-sharing WO6 octahedra. In the second W site, W(2) is bonded to one O(12), one O(14), one O(15), one O(2), one O(3), and one O(9) atom to form edge-sharing WO6 octahedra. In the third W site, W(3) is bonded to one O(13), one O(14), one O(2), one O(4), one O(5), and one O(7) atom to form distorted edge-sharing WO6 octahedra. In the fourth W site, W(4) is bonded to one O(1), one O(13), one O(14), one O(3), one O(6), and one O(8) atom to form distorted edge-sharing WO6 octahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 3-coordinate geometry to one O(12), one O(16), and one O(7) atom. In the second Ag site, Ag(2) is bonded in a 3-coordinate geometry to one O(11), one O(14), and one O(15) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Ho(1), one W(1), and one W(4) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Ho(2), one W(2), and one W(3) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Ho(1), one W(2), and one W(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ho(2), one W(1), and one W(3) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mg(1), one Ho(1), and one W(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ho(2), and one W(4) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Ho(1), one W(3), and one Ag(1) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Ho(2) and one W(4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Ho(1), and one W(2) atom. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one Ho(2) and one W(1) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Ho(1), one W(1), and one Ag(2) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Ho(2), one W(2), and one Ag(1) atom. In the thirteenth O site, O(13) is bonded to one Mg(1), one W(1), one W(3), and one W(4) atom to form distorted edge-sharing OMgW3 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one W(2), one W(3), one W(4), and one Ag(2) atom to form edge-sharing OAgW3 tetrahedra. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Ho(2), one W(2), and one Ag(2) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Ho(1), one W(1), and one Ag(1) atom.
MgHo2Ag2(WO4)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 5-coordinate geometry to one O(13), one O(2), one O(5), one O(6), and one O(9) atom. The Mg(1)-O(13) bond length is 2.30 Å. The Mg(1)-O(2) bond length is 2.43 Å. The Mg(1)-O(5) bond length is 2.02 Å. The Mg(1)-O(6) bond length is 1.98 Å. The Mg(1)-O(9) bond length is 2.06 Å. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(16), one O(3), one O(5), one O(7), and one O(9) atom. The Ho(1)-O(1) bond length is 2.36 Å. The Ho(1)-O(11) bond length is 2.34 Å. The Ho(1)-O(16) bond length is 2.50 Å. The Ho(1)-O(3) bond length is 2.25 Å. The Ho(1)-O(5) bond length is 2.26 Å. The Ho(1)-O(7) bond length is 2.25 Å. The Ho(1)-O(9) bond length is 2.54 Å. In the second Ho site, Ho(2) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(15), one O(2), one O(4), one O(6), and one O(8) atom. The Ho(2)-O(10) bond length is 2.34 Å. The Ho(2)-O(12) bond length is 2.32 Å. The Ho(2)-O(15) bond length is 2.54 Å. The Ho(2)-O(2) bond length is 2.34 Å. The Ho(2)-O(4) bond length is 2.32 Å. The Ho(2)-O(6) bond length is 2.28 Å. The Ho(2)-O(8) bond length is 2.31 Å. There are four inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(10), one O(11), one O(13), one O(16), and one O(4) atom to form distorted edge-sharing WO6 octahedra. The W(1)-O(1) bond length is 2.10 Å. The W(1)-O(10) bond length is 1.83 Å. The W(1)-O(11) bond length is 1.85 Å. The W(1)-O(13) bond length is 2.14 Å. The W(1)-O(16) bond length is 1.88 Å. The W(1)-O(4) bond length is 2.11 Å. In the second W site, W(2) is bonded to one O(12), one O(14), one O(15), one O(2), one O(3), and one O(9) atom to form edge-sharing WO6 octahedra. The W(2)-O(12) bond length is 1.88 Å. The W(2)-O(14) bond length is 2.09 Å. The W(2)-O(15) bond length is 1.85 Å. The W(2)-O(2) bond length is 2.09 Å. The W(2)-O(3) bond length is 2.06 Å. The W(2)-O(9) bond length is 1.89 Å. In the third W site, W(3) is bonded to one O(13), one O(14), one O(2), one O(4), one O(5), and one O(7) atom to form distorted edge-sharing WO6 octahedra. The W(3)-O(13) bond length is 2.16 Å. The W(3)-O(14) bond length is 2.12 Å. The W(3)-O(2) bond length is 2.08 Å. The W(3)-O(4) bond length is 2.02 Å. The W(3)-O(5) bond length is 1.96 Å. The W(3)-O(7) bond length is 1.83 Å. In the fourth W site, W(4) is bonded to one O(1), one O(13), one O(14), one O(3), one O(6), and one O(8) atom to form distorted edge-sharing WO6 octahedra. The W(4)-O(1) bond length is 2.03 Å. The W(4)-O(13) bond length is 2.19 Å. The W(4)-O(14) bond length is 2.18 Å. The W(4)-O(3) bond length is 2.06 Å. The W(4)-O(6) bond length is 1.97 Å. The W(4)-O(8) bond length is 1.81 Å. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 3-coordinate geometry to one O(12), one O(16), and one O(7) atom. The Ag(1)-O(12) bond length is 2.16 Å. The Ag(1)-O(16) bond length is 2.14 Å. The Ag(1)-O(7) bond length is 2.37 Å. In the second Ag site, Ag(2) is bonded in a 3-coordinate geometry to one O(11), one O(14), and one O(15) atom. The Ag(2)-O(11) bond length is 2.44 Å. The Ag(2)-O(14) bond length is 2.51 Å. The Ag(2)-O(15) bond length is 2.28 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Ho(1), one W(1), and one W(4) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Ho(2), one W(2), and one W(3) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Ho(1), one W(2), and one W(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ho(2), one W(1), and one W(3) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mg(1), one Ho(1), and one W(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ho(2), and one W(4) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Ho(1), one W(3), and one Ag(1) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Ho(2) and one W(4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Ho(1), and one W(2) atom. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one Ho(2) and one W(1) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Ho(1), one W(1), and one Ag(2) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Ho(2), one W(2), and one Ag(1) atom. In the thirteenth O site, O(13) is bonded to one Mg(1), one W(1), one W(3), and one W(4) atom to form distorted edge-sharing OMgW3 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one W(2), one W(3), one W(4), and one Ag(2) atom to form edge-sharing OAgW3 tetrahedra. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Ho(2), one W(2), and one Ag(2) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Ho(1), one W(1), and one Ag(1) atom.