The material structure described by MgHoV2O6 crystallizes in the triclinic P1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 8-coordinate geometry to one O(12), one O(2), one O(3), one O(4), one O(5), one O(7), one O(8), and one O(9) atom. In the second Mg site, Mg(2) 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 36-41°. 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 36-41°. 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 36-43°. 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 36-43°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Mg(2), one Ho(2), one V(1), and one V(2) atom to form distorted corner-sharing OHoMgV2 trigonal pyramids. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one Mg(2), one Ho(1), one V(1), and one V(4) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one Mg(2), one Ho(1), one V(2), and one V(3) atom. In the fourth O site, O(4) 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 fifth O site, O(5) 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 sixth O site, O(6) is bonded to one Mg(2), one Ho(2), one V(3), and one V(4) atom to form distorted corner-sharing OHoMgV2 trigonal pyramids. In the seventh O site, O(7) is bonded to one Mg(1), one Ho(1), one V(3), and one V(4) atom to form distorted corner-sharing OHoMgV2 trigonal pyramids. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(1), one Mg(2), one Ho(2), one V(2), and one V(3) atom. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to one Mg(1), one Mg(2), one Ho(2), one V(1), and one V(4) atom. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one Mg(2), 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(2), one Ho(1), one Ho(2), one V(2), and one V(3) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Ho(1), one V(1), and one V(2) atom to form distorted corner-sharing OHoMgV2 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_HoMgV2O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.213
_cell_length_b   5.474
_cell_length_c   7.592
_cell_angle_alpha   89.798
_cell_angle_beta   89.910
_cell_angle_gamma   89.818
_symmetry_Int_Tables_number   1
_cell_volume   216.665
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Ho  Ho0  1  0.016  0.069  0.251  1.0
  Ho  Ho1  1  0.514  0.432  0.750  1.0
  Mg  Mg2  1  0.491  0.551  0.250  1.0
  Mg  Mg3  1  0.984  0.944  0.749  1.0
  V  V4  1  0.999  0.507  0.001  1.0
  V  V5  1  0.000  0.506  0.501  1.0
  V  V6  1  0.498  0.991  0.501  1.0
  V  V7  1  0.499  0.991  0.001  1.0
  O  O8  1  0.109  0.561  0.750  1.0
  O  O9  1  0.206  0.816  0.057  1.0
  O  O10  1  0.198  0.801  0.434  1.0
  O  O11  1  0.316  0.313  0.063  1.0
  O  O12  1  0.330  0.297  0.439  1.0
  O  O13  1  0.366  0.043  0.749  1.0
  O  O14  1  0.615  0.940  0.250  1.0
  O  O15  1  0.682  0.711  0.561  1.0
  O  O16  1  0.690  0.698  0.937  1.0
  O  O17  1  0.798  0.179  0.941  1.0
  O  O18  1  0.814  0.190  0.564  1.0
  O  O19  1  0.874  0.459  0.251  1.0
[/CIF]
.
The material structure described by MgHoV2O6 crystallizes in the triclinic P1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 8-coordinate geometry to one O(12), one O(2), one O(3), one O(4), one O(5), one O(7), one O(8), and one O(9) atom. In the second Mg site, Mg(2) 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 36-41°. 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 36-41°. 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 36-43°. 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 36-43°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Mg(2), one Ho(2), one V(1), and one V(2) atom to form distorted corner-sharing OHoMgV2 trigonal pyramids. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one Mg(2), one Ho(1), one V(1), and one V(4) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one Mg(2), one Ho(1), one V(2), and one V(3) atom. In the fourth O site, O(4) 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 fifth O site, O(5) 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 sixth O site, O(6) is bonded to one Mg(2), one Ho(2), one V(3), and one V(4) atom to form distorted corner-sharing OHoMgV2 trigonal pyramids. In the seventh O site, O(7) is bonded to one Mg(1), one Ho(1), one V(3), and one V(4) atom to form distorted corner-sharing OHoMgV2 trigonal pyramids. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(1), one Mg(2), one Ho(2), one V(2), and one V(3) atom. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to one Mg(1), one Mg(2), one Ho(2), one V(1), and one V(4) atom. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one Mg(2), 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(2), one Ho(1), one Ho(2), one V(2), and one V(3) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Ho(1), one V(1), and one V(2) atom to form distorted corner-sharing OHoMgV2 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_HoMgV2O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.213
_cell_length_b   5.474
_cell_length_c   7.592
_cell_angle_alpha   89.798
_cell_angle_beta   89.910
_cell_angle_gamma   89.818
_symmetry_Int_Tables_number   1
_cell_volume   216.665
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Ho  Ho0  1  0.016  0.069  0.251  1.0
  Ho  Ho1  1  0.514  0.432  0.750  1.0
  Mg  Mg2  1  0.491  0.551  0.250  1.0
  Mg  Mg3  1  0.984  0.944  0.749  1.0
  V  V4  1  0.999  0.507  0.001  1.0
  V  V5  1  0.000  0.506  0.501  1.0
  V  V6  1  0.498  0.991  0.501  1.0
  V  V7  1  0.499  0.991  0.001  1.0
  O  O8  1  0.109  0.561  0.750  1.0
  O  O9  1  0.206  0.816  0.057  1.0
  O  O10  1  0.198  0.801  0.434  1.0
  O  O11  1  0.316  0.313  0.063  1.0
  O  O12  1  0.330  0.297  0.439  1.0
  O  O13  1  0.366  0.043  0.749  1.0
  O  O14  1  0.615  0.940  0.250  1.0
  O  O15  1  0.682  0.711  0.561  1.0
  O  O16  1  0.690  0.698  0.937  1.0
  O  O17  1  0.798  0.179  0.941  1.0
  O  O18  1  0.814  0.190  0.564  1.0
  O  O19  1  0.874  0.459  0.251  1.0
[/CIF]
.