The material structure described by 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. is represented by the CIF file [CIF]
data_Ho2MgAg2(WO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.300
_cell_length_b   7.360
_cell_length_c   7.820
_cell_angle_alpha   96.549
_cell_angle_beta   114.145
_cell_angle_gamma   113.531
_symmetry_Int_Tables_number   1
_cell_volume   331.635
_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  0.013  0.719  0.315  1.0
  Ho  Ho1  1  0.997  0.274  0.721  1.0
  Mg  Mg2  1  0.573  0.621  0.910  1.0
  Ag  Ag3  1  0.528  0.703  0.556  1.0
  Ag  Ag4  1  0.477  0.294  0.329  1.0
  W  W5  1  0.984  0.229  0.226  1.0
  W  W6  1  0.025  0.760  0.791  1.0
  W  W7  1  0.505  0.864  0.173  1.0
  W  W8  1  0.505  0.145  0.851  1.0
  O  O9  1  0.769  0.360  0.118  1.0
  O  O10  1  0.242  0.633  0.902  1.0
  O  O11  1  0.203  0.876  0.645  1.0
  O  O12  1  0.802  0.124  0.379  1.0
  O  O13  1  0.665  0.700  0.201  1.0
  O  O14  1  0.352  0.317  0.794  1.0
  O  O15  1  0.343  0.822  0.305  1.0
  O  O16  1  0.646  0.173  0.704  1.0
  O  O17  1  0.895  0.691  0.954  1.0
  O  O18  1  0.081  0.289  0.048  1.0
  O  O19  1  0.112  0.062  0.308  1.0
  O  O20  1  0.891  0.927  0.704  1.0
  O  O21  1  0.663  0.968  0.996  1.0
  O  O22  1  0.335  0.017  0.017  1.0
  O  O23  1  0.847  0.510  0.580  1.0
  O  O24  1  0.170  0.485  0.438  1.0
[/CIF]
.
The material structure described by 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. is represented by the CIF file [CIF]
data_Ho2MgAg2(WO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.300
_cell_length_b   7.360
_cell_length_c   7.820
_cell_angle_alpha   96.549
_cell_angle_beta   114.145
_cell_angle_gamma   113.531
_symmetry_Int_Tables_number   1
_cell_volume   331.635
_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  0.013  0.719  0.315  1.0
  Ho  Ho1  1  0.997  0.274  0.721  1.0
  Mg  Mg2  1  0.573  0.621  0.910  1.0
  Ag  Ag3  1  0.528  0.703  0.556  1.0
  Ag  Ag4  1  0.477  0.294  0.329  1.0
  W  W5  1  0.984  0.229  0.226  1.0
  W  W6  1  0.025  0.760  0.791  1.0
  W  W7  1  0.505  0.864  0.173  1.0
  W  W8  1  0.505  0.145  0.851  1.0
  O  O9  1  0.769  0.360  0.118  1.0
  O  O10  1  0.242  0.633  0.902  1.0
  O  O11  1  0.203  0.876  0.645  1.0
  O  O12  1  0.802  0.124  0.379  1.0
  O  O13  1  0.665  0.700  0.201  1.0
  O  O14  1  0.352  0.317  0.794  1.0
  O  O15  1  0.343  0.822  0.305  1.0
  O  O16  1  0.646  0.173  0.704  1.0
  O  O17  1  0.895  0.691  0.954  1.0
  O  O18  1  0.081  0.289  0.048  1.0
  O  O19  1  0.112  0.062  0.308  1.0
  O  O20  1  0.891  0.927  0.704  1.0
  O  O21  1  0.663  0.968  0.996  1.0
  O  O22  1  0.335  0.017  0.017  1.0
  O  O23  1  0.847  0.510  0.580  1.0
  O  O24  1  0.170  0.485  0.438  1.0
[/CIF]
.