The material structure described by MgHo2(BiO3)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a distorted see-saw-like geometry to one O(12), one O(4), one O(5), and one O(9) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 6-coordinate geometry to one O(10), 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 6-coordinate geometry to one O(1), one O(10), one O(11), one O(6), one O(8), and one O(9) atom. There are four inequivalent Bi sites. In the first Bi site, Bi(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 distorted corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles range from 19-58°. In the second Bi site, Bi(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 BiO6 octahedra. The corner-sharing octahedral tilt angles range from 31-56°. In the third Bi site, Bi(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 distorted corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles range from 31-56°. In the fourth Bi site, Bi(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 BiO6 octahedra. The corner-sharing octahedral tilt angles range from 19-58°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ho(2), one Bi(1), and one Bi(2) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Ho(1), one Bi(1), and one Bi(4) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Ho(1), one Bi(2), and one Bi(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one Ho(1), one Bi(1), and one Bi(4) atom. In the fifth O site, O(5) is bonded to one Mg(1), one Ho(1), one Bi(2), and one Bi(3) atom to form a mixture of distorted edge and corner-sharing OHoMgBi2 trigonal pyramids. In the sixth O site, O(6) is bonded in a T-shaped geometry to one Ho(2), one Bi(3), and one Bi(4) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ho(1), one Bi(3), and one Bi(4) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Ho(2), one Bi(2), and one Bi(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Ho(2), one Bi(1), and one Bi(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Ho(1), one Ho(2), one Bi(1), and one Bi(4) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Ho(2), one Bi(2), and one Bi(3) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Ho(1), one Bi(1), and one Bi(2) atom to form a mixture of distorted edge and corner-sharing OHoMgBi2 trigonal pyramids. is represented by the CIF card [CIF]
data_Ho2Mg(BiO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.686
_cell_length_b   6.110
_cell_length_c   8.360
_cell_angle_alpha   86.940
_cell_angle_beta   90.977
_cell_angle_gamma   89.278
_symmetry_Int_Tables_number   1
_cell_volume   289.979
_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  0.025  0.906  0.758  1.0
  Ho  Ho1  1  0.543  0.586  0.242  1.0
  Mg  Mg2  1  0.516  0.549  0.796  1.0
  Bi  Bi3  1  0.016  0.463  0.017  1.0
  Bi  Bi4  1  0.006  0.478  0.509  1.0
  Bi  Bi5  1  0.505  0.020  0.487  1.0
  Bi  Bi6  1  0.507  0.021  0.995  1.0
  O  O7  1  0.182  0.474  0.282  1.0
  O  O8  1  0.185  0.167  0.907  1.0
  O  O9  1  0.140  0.158  0.571  1.0
  O  O10  1  0.296  0.718  0.934  1.0
  O  O11  1  0.286  0.671  0.610  1.0
  O  O12  1  0.409  0.939  0.233  1.0
  O  O13  1  0.650  0.029  0.756  1.0
  O  O14  1  0.692  0.325  0.412  1.0
  O  O15  1  0.610  0.355  0.026  1.0
  O  O16  1  0.783  0.778  0.039  1.0
  O  O17  1  0.787  0.753  0.428  1.0
  O  O18  1  0.861  0.550  0.749  1.0
[/CIF]
.
The material structure described by MgHo2(BiO3)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a distorted see-saw-like geometry to one O(12), one O(4), one O(5), and one O(9) atom. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 6-coordinate geometry to one O(10), 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 6-coordinate geometry to one O(1), one O(10), one O(11), one O(6), one O(8), and one O(9) atom. There are four inequivalent Bi sites. In the first Bi site, Bi(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 distorted corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles range from 19-58°. In the second Bi site, Bi(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 BiO6 octahedra. The corner-sharing octahedral tilt angles range from 31-56°. In the third Bi site, Bi(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 distorted corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles range from 31-56°. In the fourth Bi site, Bi(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 BiO6 octahedra. The corner-sharing octahedral tilt angles range from 19-58°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ho(2), one Bi(1), and one Bi(2) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Ho(1), one Bi(1), and one Bi(4) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Ho(1), one Bi(2), and one Bi(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one Ho(1), one Bi(1), and one Bi(4) atom. In the fifth O site, O(5) is bonded to one Mg(1), one Ho(1), one Bi(2), and one Bi(3) atom to form a mixture of distorted edge and corner-sharing OHoMgBi2 trigonal pyramids. In the sixth O site, O(6) is bonded in a T-shaped geometry to one Ho(2), one Bi(3), and one Bi(4) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ho(1), one Bi(3), and one Bi(4) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Ho(2), one Bi(2), and one Bi(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Ho(2), one Bi(1), and one Bi(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Ho(1), one Ho(2), one Bi(1), and one Bi(4) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Ho(2), one Bi(2), and one Bi(3) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Ho(1), one Bi(1), and one Bi(2) atom to form a mixture of distorted edge and corner-sharing OHoMgBi2 trigonal pyramids. is represented by the CIF card [CIF]
data_Ho2Mg(BiO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.686
_cell_length_b   6.110
_cell_length_c   8.360
_cell_angle_alpha   86.940
_cell_angle_beta   90.977
_cell_angle_gamma   89.278
_symmetry_Int_Tables_number   1
_cell_volume   289.979
_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  0.025  0.906  0.758  1.0
  Ho  Ho1  1  0.543  0.586  0.242  1.0
  Mg  Mg2  1  0.516  0.549  0.796  1.0
  Bi  Bi3  1  0.016  0.463  0.017  1.0
  Bi  Bi4  1  0.006  0.478  0.509  1.0
  Bi  Bi5  1  0.505  0.020  0.487  1.0
  Bi  Bi6  1  0.507  0.021  0.995  1.0
  O  O7  1  0.182  0.474  0.282  1.0
  O  O8  1  0.185  0.167  0.907  1.0
  O  O9  1  0.140  0.158  0.571  1.0
  O  O10  1  0.296  0.718  0.934  1.0
  O  O11  1  0.286  0.671  0.610  1.0
  O  O12  1  0.409  0.939  0.233  1.0
  O  O13  1  0.650  0.029  0.756  1.0
  O  O14  1  0.692  0.325  0.412  1.0
  O  O15  1  0.610  0.355  0.026  1.0
  O  O16  1  0.783  0.778  0.039  1.0
  O  O17  1  0.787  0.753  0.428  1.0
  O  O18  1  0.861  0.550  0.749  1.0
[/CIF]
.