MgHo2V4O12 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(2), one O(3), one O(6), one O(8), and one O(9) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(12), one O(2), one O(3), one O(4), one O(5), and one O(7) atom. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(4), one O(5), one O(6), one O(8), and one O(9) atom. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(10), one O(12), one O(2), one O(4), and one O(9) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 22-41°. In the second V site, V(2) is bonded to one O(1), one O(11), one O(12), one O(3), one O(5), and one O(8) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 21-39°. In the third V site, V(3) is bonded to one O(11), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 21-39°. In the fourth V site, V(4) is bonded to one O(10), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 22-41°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ho(2), one V(1), and one V(2) atom. In the second O site, O(2) is bonded to one Mg(1), one Ho(1), one V(1), and one V(4) atom to form a mixture of distorted edge and corner-sharing OHoMgV2 trigonal pyramids. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one Ho(1), one V(2), and one V(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(2), one V(1), and one V(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(2), one V(2), and one V(3) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Ho(2), one V(3), and one V(4) atom to form a mixture of distorted edge and corner-sharing OHoMgV2 trigonal pyramids. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Ho(1), one V(3), and one V(4) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Mg(1), one Ho(2), one V(2), and one V(3) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Ho(2), one V(1), and one V(4) atom to form a mixture of distorted edge and corner-sharing OHoMgV2 trigonal pyramids. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one Mg(1), one Ho(1), one Ho(2), one V(1), and one V(4) atom. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Mg(1), one Ho(1), one Ho(2), one V(2), and one V(3) atom. In the twelfth O site, O(12) is bonded in a T-shaped geometry to one Ho(1), one V(1), and one V(2) atom.
MgHo2V4O12 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(2), one O(3), one O(6), one O(8), and one O(9) atom. The Mg(1)-O(1) bond length is 2.14 Å. The Mg(1)-O(10) bond length is 2.12 Å. The Mg(1)-O(11) bond length is 2.36 Å. The Mg(1)-O(2) bond length is 2.33 Å. The Mg(1)-O(3) bond length is 2.71 Å. The Mg(1)-O(6) bond length is 2.08 Å. The Mg(1)-O(8) bond length is 2.63 Å. The Mg(1)-O(9) bond length is 2.39 Å. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(12), one O(2), one O(3), one O(4), one O(5), and one O(7) atom. The Ho(1)-O(10) bond length is 2.61 Å. The Ho(1)-O(11) bond length is 2.64 Å. The Ho(1)-O(12) bond length is 2.21 Å. The Ho(1)-O(2) bond length is 2.25 Å. The Ho(1)-O(3) bond length is 2.28 Å. The Ho(1)-O(4) bond length is 2.49 Å. The Ho(1)-O(5) bond length is 2.45 Å. The Ho(1)-O(7) bond length is 2.24 Å. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(4), one O(5), one O(6), one O(8), and one O(9) atom. The Ho(2)-O(1) bond length is 2.21 Å. The Ho(2)-O(10) bond length is 2.39 Å. The Ho(2)-O(11) bond length is 2.42 Å. The Ho(2)-O(4) bond length is 2.57 Å. The Ho(2)-O(5) bond length is 2.63 Å. The Ho(2)-O(6) bond length is 2.31 Å. The Ho(2)-O(8) bond length is 2.29 Å. The Ho(2)-O(9) bond length is 2.26 Å. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(10), one O(12), one O(2), one O(4), and one O(9) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 22-41°. The V(1)-O(1) bond length is 2.04 Å. The V(1)-O(10) bond length is 2.18 Å. The V(1)-O(12) bond length is 1.92 Å. The V(1)-O(2) bond length is 1.93 Å. The V(1)-O(4) bond length is 1.83 Å. The V(1)-O(9) bond length is 1.94 Å. In the second V site, V(2) is bonded to one O(1), one O(11), one O(12), one O(3), one O(5), and one O(8) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 21-39°. The V(2)-O(1) bond length is 2.02 Å. The V(2)-O(11) bond length is 2.29 Å. The V(2)-O(12) bond length is 1.93 Å. The V(2)-O(3) bond length is 1.93 Å. The V(2)-O(5) bond length is 1.83 Å. The V(2)-O(8) bond length is 1.92 Å. In the third V site, V(3) is bonded to one O(11), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 21-39°. The V(3)-O(11) bond length is 1.89 Å. The V(3)-O(3) bond length is 1.89 Å. The V(3)-O(5) bond length is 2.06 Å. The V(3)-O(6) bond length is 2.01 Å. The V(3)-O(7) bond length is 2.02 Å. The V(3)-O(8) bond length is 1.94 Å. In the fourth V site, V(4) is bonded to one O(10), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 22-41°. The V(4)-O(10) bond length is 2.01 Å. The V(4)-O(2) bond length is 1.95 Å. The V(4)-O(4) bond length is 2.05 Å. The V(4)-O(6) bond length is 2.00 Å. The V(4)-O(7) bond length is 1.84 Å. The V(4)-O(9) bond length is 1.95 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ho(2), one V(1), and one V(2) atom. In the second O site, O(2) is bonded to one Mg(1), one Ho(1), one V(1), and one V(4) atom to form a mixture of distorted edge and corner-sharing OHoMgV2 trigonal pyramids. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one Ho(1), one V(2), and one V(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(2), one V(1), and one V(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(2), one V(2), and one V(3) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Ho(2), one V(3), and one V(4) atom to form a mixture of distorted edge and corner-sharing OHoMgV2 trigonal pyramids. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Ho(1), one V(3), and one V(4) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Mg(1), one Ho(2), one V(2), and one V(3) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Ho(2), one V(1), and one V(4) atom to form a mixture of distorted edge and corner-sharing OHoMgV2 trigonal pyramids. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one Mg(1), one Ho(1), one Ho(2), one V(1), and one V(4) atom. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Mg(1), one Ho(1), one Ho(2), one V(2), and one V(3) atom. In the twelfth O site, O(12) is bonded in a T-shaped geometry to one Ho(1), one V(1), and one V(2) atom.