The material structure described by 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. is represented by the CIF file [CIF]
data_Ho2MgV4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.175
_cell_length_b   5.499
_cell_length_c   7.542
_cell_angle_alpha   90.023
_cell_angle_beta   89.642
_cell_angle_gamma   91.491
_symmetry_Int_Tables_number   1
_cell_volume   214.530
_cell_formula_units_Z   1
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  0.029  0.933  0.757  1.0
  Ho  Ho1  1  0.542  0.589  0.252  1.0
  Mg  Mg2  1  0.020  0.076  0.232  1.0
  V  V3  1  0.035  0.499  0.998  1.0
  V  V4  1  0.035  0.494  0.514  1.0
  V  V5  1  0.522  0.031  0.502  1.0
  V  V6  1  0.524  0.030  0.998  1.0
  O  O7  1  0.136  0.451  0.256  1.0
  O  O8  1  0.198  0.192  0.959  1.0
  O  O9  1  0.213  0.195  0.555  1.0
  O  O10  1  0.309  0.714  0.968  1.0
  O  O11  1  0.299  0.720  0.542  1.0
  O  O12  1  0.407  0.986  0.250  1.0
  O  O13  1  0.613  0.036  0.762  1.0
  O  O14  1  0.722  0.324  0.446  1.0
  O  O15  1  0.726  0.316  0.070  1.0
  O  O16  1  0.824  0.825  0.064  1.0
  O  O17  1  0.806  0.834  0.450  1.0
  O  O18  1  0.926  0.540  0.756  1.0
[/CIF]
.
The material structure described by 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. is represented by the CIF file [CIF]
data_Ho2MgV4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.175
_cell_length_b   5.499
_cell_length_c   7.542
_cell_angle_alpha   90.023
_cell_angle_beta   89.642
_cell_angle_gamma   91.491
_symmetry_Int_Tables_number   1
_cell_volume   214.530
_cell_formula_units_Z   1
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  0.029  0.933  0.757  1.0
  Ho  Ho1  1  0.542  0.589  0.252  1.0
  Mg  Mg2  1  0.020  0.076  0.232  1.0
  V  V3  1  0.035  0.499  0.998  1.0
  V  V4  1  0.035  0.494  0.514  1.0
  V  V5  1  0.522  0.031  0.502  1.0
  V  V6  1  0.524  0.030  0.998  1.0
  O  O7  1  0.136  0.451  0.256  1.0
  O  O8  1  0.198  0.192  0.959  1.0
  O  O9  1  0.213  0.195  0.555  1.0
  O  O10  1  0.309  0.714  0.968  1.0
  O  O11  1  0.299  0.720  0.542  1.0
  O  O12  1  0.407  0.986  0.250  1.0
  O  O13  1  0.613  0.036  0.762  1.0
  O  O14  1  0.722  0.324  0.446  1.0
  O  O15  1  0.726  0.316  0.070  1.0
  O  O16  1  0.824  0.825  0.064  1.0
  O  O17  1  0.806  0.834  0.450  1.0
  O  O18  1  0.926  0.540  0.756  1.0
[/CIF]
.