MgHo2Ag2(WO4)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 7-coordinate geometry to one Ag(2), one O(11), one O(14), one O(15), one O(4), one O(7), and one O(8) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(9) atom. In the second Ho site, Ho(2) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form distorted HoO6 octahedra that share corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(3)O6 octahedra, and corners with two equivalent W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 31-64°. 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 WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 31-64°. 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 distorted WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 32-64°. 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 WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-45°. 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 WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one W(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-39°. 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(13), and one O(16) atom. In the second Ag site, Ag(2) is bonded in a 3-coordinate geometry to one Mg(1), one O(10), one O(15), one O(5), and one O(6) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ho(1), one W(1), and one W(4) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Ho(2), one W(2), and one W(3) atom. In the third O site, O(3) is bonded in a distorted 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 see-saw-like geometry to one Mg(1), one Ho(2), one W(1), and one W(3) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Ho(1), one W(3), and one Ag(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Ho(2), one W(4), and one Ag(2) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mg(1), one Ho(1), and one W(3) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ho(2), and one W(4) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Ho(1) and one W(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Ho(2), one W(1), and one Ag(2) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Mg(1), one Ho(1), and one W(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Ho(2), one W(2), and one Ag(1) atom. In the thirteenth O site, O(13) is bonded in a tetrahedral geometry to one W(1), one W(3), one W(4), and one Ag(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Mg(1), one W(2), one W(3), and one W(4) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mg(1), one W(2), and one Ag(2) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 150 degrees geometry to one W(1) and one Ag(1) atom.
MgHo2Ag2(WO4)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 7-coordinate geometry to one Ag(2), one O(11), one O(14), one O(15), one O(4), one O(7), and one O(8) atom. The Mg(1)-Ag(2) bond length is 2.78 Å. The Mg(1)-O(11) bond length is 2.07 Å. The Mg(1)-O(14) bond length is 2.68 Å. The Mg(1)-O(15) bond length is 2.21 Å. The Mg(1)-O(4) bond length is 2.52 Å. The Mg(1)-O(7) bond length is 2.10 Å. The Mg(1)-O(8) bond length is 1.98 Å. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(9) atom. The Ho(1)-O(1) bond length is 2.25 Å. The Ho(1)-O(11) bond length is 2.49 Å. The Ho(1)-O(3) bond length is 2.34 Å. The Ho(1)-O(5) bond length is 2.23 Å. The Ho(1)-O(7) bond length is 2.25 Å. The Ho(1)-O(9) bond length is 2.25 Å. In the second Ho site, Ho(2) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form distorted HoO6 octahedra that share corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(3)O6 octahedra, and corners with two equivalent W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 31-64°. The Ho(2)-O(10) bond length is 2.25 Å. The Ho(2)-O(12) bond length is 2.31 Å. The Ho(2)-O(2) bond length is 2.29 Å. The Ho(2)-O(4) bond length is 2.34 Å. The Ho(2)-O(6) bond length is 2.27 Å. The Ho(2)-O(8) bond length is 2.26 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 WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 31-64°. The W(1)-O(1) bond length is 2.11 Å. The W(1)-O(10) bond length is 1.88 Å. The W(1)-O(11) bond length is 1.90 Å. The W(1)-O(13) bond length is 2.11 Å. The W(1)-O(16) bond length is 1.80 Å. The W(1)-O(4) bond length is 2.10 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 distorted WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 32-64°. The W(2)-O(12) bond length is 1.87 Å. The W(2)-O(14) bond length is 2.18 Å. The W(2)-O(15) bond length is 1.88 Å. The W(2)-O(2) bond length is 2.07 Å. The W(2)-O(3) bond length is 2.14 Å. The W(2)-O(9) bond length is 1.82 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 WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one W(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-45°. The W(3)-O(13) bond length is 2.09 Å. The W(3)-O(14) bond length is 2.14 Å. The W(3)-O(2) bond length is 2.05 Å. The W(3)-O(4) bond length is 2.08 Å. The W(3)-O(5) bond length is 1.87 Å. The W(3)-O(7) bond length is 1.93 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 WO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one W(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-39°. The W(4)-O(1) bond length is 2.08 Å. The W(4)-O(13) bond length is 2.17 Å. The W(4)-O(14) bond length is 2.13 Å. The W(4)-O(3) bond length is 2.05 Å. The W(4)-O(6) bond length is 1.82 Å. The W(4)-O(8) bond length is 1.97 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(13), and one O(16) atom. The Ag(1)-O(12) bond length is 2.26 Å. The Ag(1)-O(13) bond length is 2.46 Å. The Ag(1)-O(16) bond length is 2.17 Å. In the second Ag site, Ag(2) is bonded in a 3-coordinate geometry to one Mg(1), one O(10), one O(15), one O(5), and one O(6) atom. The Ag(2)-O(10) bond length is 2.21 Å. The Ag(2)-O(15) bond length is 2.29 Å. The Ag(2)-O(5) bond length is 2.25 Å. The Ag(2)-O(6) bond length is 2.71 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ho(1), one W(1), and one W(4) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Ho(2), one W(2), and one W(3) atom. In the third O site, O(3) is bonded in a distorted 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 see-saw-like geometry to one Mg(1), one Ho(2), one W(1), and one W(3) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Ho(1), one W(3), and one Ag(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Ho(2), one W(4), and one Ag(2) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mg(1), one Ho(1), and one W(3) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ho(2), and one W(4) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Ho(1) and one W(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Ho(2), one W(1), and one Ag(2) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Mg(1), one Ho(1), and one W(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Ho(2), one W(2), and one Ag(1) atom. In the thirteenth O site, O(13) is bonded in a tetrahedral geometry to one W(1), one W(3), one W(4), and one Ag(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Mg(1), one W(2), one W(3), and one W(4) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mg(1), one W(2), and one Ag(2) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 150 degrees geometry to one W(1) and one Ag(1) atom.