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(11), one O(12), one O(13), one O(5), and one O(9) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one O(1), one O(11), one O(15), one O(3), one O(5), one O(7), and one O(9) atom to form distorted HoO7 pentagonal bipyramids that share  a cornercorner with one W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, corners with two equivalent W(1)O6 pentagonal pyramids, corners with two equivalent W(3)O6 pentagonal pyramids, and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-47°. In the second Ho site, Ho(2) is bonded to one O(10), one O(12), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form distorted HoO7 pentagonal bipyramids that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra,  a cornercorner with one W(1)O6 pentagonal pyramid, corners with two equivalent W(3)O6 pentagonal pyramids, and  an edgeedge with one W(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 31-52°. 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 pentagonal pyramids that share  a cornercorner with one Ho(2)O7 pentagonal bipyramid, corners with two equivalent Ho(1)O7 pentagonal bipyramids,  an edgeedge with one W(4)O6 octahedra,  an edgeedge with one Ho(2)O7 pentagonal bipyramid, and  an edgeedge with one W(3)O6 pentagonal pyramid. 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 WO6 octahedra that share  a cornercorner with one Ho(1)O7 pentagonal bipyramid, corners with two equivalent Ho(2)O7 pentagonal bipyramids,  an edgeedge with one W(4)O6 octahedra,  an edgeedge with one Ho(1)O7 pentagonal bipyramid, and  an edgeedge with one W(3)O6 pentagonal pyramid. 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 pentagonal pyramids that share corners with two equivalent Ho(1)O7 pentagonal bipyramids, corners with two equivalent Ho(2)O7 pentagonal bipyramids,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(1)O6 pentagonal pyramid. 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(1)O7 pentagonal bipyramids, corners with two equivalent Ho(2)O7 pentagonal bipyramids,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(1)O6 pentagonal pyramid, and  an edgeedge with one W(3)O6 pentagonal pyramid. 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 4-coordinate geometry to one O(11), one O(14), one O(15), and one O(8) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 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 non-coplanar 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 T-shaped geometry to 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 Mg(1), one Ho(1), and one W(3) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one Ho(2) and one W(4) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ho(1), one W(3), and one Ag(1) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Ho(2), one W(4), and one Ag(2) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mg(1), one Ho(1), and one W(2) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Ho(2) and one W(1) atom. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ho(1), one W(1), and one Ag(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), 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 distorted trigonal planar geometry to one Ho(1), one W(2), and one Ag(2) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ho(2), 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   7.469
_cell_length_b   8.068
_cell_length_c   7.437
_cell_angle_alpha   95.015
_cell_angle_beta   111.791
_cell_angle_gamma   120.038
_symmetry_Int_Tables_number   1
_cell_volume   338.798
_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  0.985  0.727  0.298  1.0
  Ho  Ho1  1  0.030  0.273  0.739  1.0
  Mg  Mg2  1  0.817  0.879  0.967  1.0
  Ag  Ag3  1  0.507  0.668  0.523  1.0
  Ag  Ag4  1  0.462  0.268  0.353  1.0
  W  W5  1  0.989  0.248  0.258  1.0
  W  W6  1  0.024  0.753  0.773  1.0
  W  W7  1  0.482  0.838  0.153  1.0
  W  W8  1  0.525  0.174  0.872  1.0
  O  O9  1  0.793  0.373  0.141  1.0
  O  O10  1  0.180  0.620  0.869  1.0
  O  O11  1  0.234  0.908  0.650  1.0
  O  O12  1  0.773  0.094  0.388  1.0
  O  O13  1  0.638  0.716  0.146  1.0
  O  O14  1  0.373  0.296  0.830  1.0
  O  O15  1  0.304  0.771  0.294  1.0
  O  O16  1  0.676  0.227  0.719  1.0
  O  O17  1  0.884  0.675  0.942  1.0
  O  O18  1  0.096  0.306  0.064  1.0
  O  O19  1  0.079  0.045  0.271  1.0
  O  O20  1  0.906  0.928  0.739  1.0
  O  O21  1  0.657  0.003  0.989  1.0
  O  O22  1  0.337  0.999  0.024  1.0
  O  O23  1  0.820  0.569  0.505  1.0
  O  O24  1  0.183  0.433  0.530  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(11), one O(12), one O(13), one O(5), and one O(9) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one O(1), one O(11), one O(15), one O(3), one O(5), one O(7), and one O(9) atom to form distorted HoO7 pentagonal bipyramids that share  a cornercorner with one W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, corners with two equivalent W(1)O6 pentagonal pyramids, corners with two equivalent W(3)O6 pentagonal pyramids, and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-47°. In the second Ho site, Ho(2) is bonded to one O(10), one O(12), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form distorted HoO7 pentagonal bipyramids that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra,  a cornercorner with one W(1)O6 pentagonal pyramid, corners with two equivalent W(3)O6 pentagonal pyramids, and  an edgeedge with one W(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 31-52°. 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 pentagonal pyramids that share  a cornercorner with one Ho(2)O7 pentagonal bipyramid, corners with two equivalent Ho(1)O7 pentagonal bipyramids,  an edgeedge with one W(4)O6 octahedra,  an edgeedge with one Ho(2)O7 pentagonal bipyramid, and  an edgeedge with one W(3)O6 pentagonal pyramid. 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 WO6 octahedra that share  a cornercorner with one Ho(1)O7 pentagonal bipyramid, corners with two equivalent Ho(2)O7 pentagonal bipyramids,  an edgeedge with one W(4)O6 octahedra,  an edgeedge with one Ho(1)O7 pentagonal bipyramid, and  an edgeedge with one W(3)O6 pentagonal pyramid. 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 pentagonal pyramids that share corners with two equivalent Ho(1)O7 pentagonal bipyramids, corners with two equivalent Ho(2)O7 pentagonal bipyramids,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(1)O6 pentagonal pyramid. 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(1)O7 pentagonal bipyramids, corners with two equivalent Ho(2)O7 pentagonal bipyramids,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(1)O6 pentagonal pyramid, and  an edgeedge with one W(3)O6 pentagonal pyramid. 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 4-coordinate geometry to one O(11), one O(14), one O(15), and one O(8) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 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 non-coplanar 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 T-shaped geometry to 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 Mg(1), one Ho(1), and one W(3) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one Ho(2) and one W(4) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ho(1), one W(3), and one Ag(1) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Ho(2), one W(4), and one Ag(2) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mg(1), one Ho(1), and one W(2) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Ho(2) and one W(1) atom. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ho(1), one W(1), and one Ag(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), 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 distorted trigonal planar geometry to one Ho(1), one W(2), and one Ag(2) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ho(2), 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   7.469
_cell_length_b   8.068
_cell_length_c   7.437
_cell_angle_alpha   95.015
_cell_angle_beta   111.791
_cell_angle_gamma   120.038
_symmetry_Int_Tables_number   1
_cell_volume   338.798
_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  0.985  0.727  0.298  1.0
  Ho  Ho1  1  0.030  0.273  0.739  1.0
  Mg  Mg2  1  0.817  0.879  0.967  1.0
  Ag  Ag3  1  0.507  0.668  0.523  1.0
  Ag  Ag4  1  0.462  0.268  0.353  1.0
  W  W5  1  0.989  0.248  0.258  1.0
  W  W6  1  0.024  0.753  0.773  1.0
  W  W7  1  0.482  0.838  0.153  1.0
  W  W8  1  0.525  0.174  0.872  1.0
  O  O9  1  0.793  0.373  0.141  1.0
  O  O10  1  0.180  0.620  0.869  1.0
  O  O11  1  0.234  0.908  0.650  1.0
  O  O12  1  0.773  0.094  0.388  1.0
  O  O13  1  0.638  0.716  0.146  1.0
  O  O14  1  0.373  0.296  0.830  1.0
  O  O15  1  0.304  0.771  0.294  1.0
  O  O16  1  0.676  0.227  0.719  1.0
  O  O17  1  0.884  0.675  0.942  1.0
  O  O18  1  0.096  0.306  0.064  1.0
  O  O19  1  0.079  0.045  0.271  1.0
  O  O20  1  0.906  0.928  0.739  1.0
  O  O21  1  0.657  0.003  0.989  1.0
  O  O22  1  0.337  0.999  0.024  1.0
  O  O23  1  0.820  0.569  0.505  1.0
  O  O24  1  0.183  0.433  0.530  1.0
[/CIF]
.