The structure described by MgHo4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(2), one O(7), and one O(8) atom to form distorted MgO5 square pyramids that share  a cornercorner with one Ho(1)O6 octahedra, corners with two equivalent Ho(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Ti(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 43-82°. There are four inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(9) atom to form distorted HoO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, corners with three equivalent Ti(1)O5 trigonal bipyramids, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-62°. In the second Ho site, Ho(2) is bonded to one O(10), one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form distorted HoO6 octahedra that share corners with two equivalent Ho(1)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O5 square pyramid, and  an edgeedge with one Ti(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 36-62°. In the third Ho site, Ho(3) is bonded in a 6-coordinate geometry to one O(1), one O(3), one O(4), one O(5), one O(8), and one O(9) atom. In the fourth Ho site, Ho(4) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(5), one O(6), one O(7), and one O(8) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(10), one O(3), one O(4), and one O(8) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with three equivalent Ho(1)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Ho(2)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 40-66°. In the second Ti site, Ti(2) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with three equivalent Ho(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid, edges with two equivalent Ho(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 36-50°. There are ten 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(1), one Ho(3), and one Ti(1) atom. In the second O site, O(2) is bonded to one Mg(1), one Ho(2), one Ho(4), and one Ti(2) atom to form OHo2MgTi trigonal pyramids that share  a cornercorner with one O(8)Ho3MgTi trigonal bipyramid,  a cornercorner with one O(3)Ho3Ti trigonal pyramid,  a cornercorner with one O(6)Ho3Ti trigonal pyramid, corners with two equivalent O(5)Ho3Ti trigonal pyramids,  an edgeedge with one O(8)Ho3MgTi trigonal bipyramid, and  an edgeedge with one O(6)Ho3Ti trigonal pyramid. In the third O site, O(3) is bonded to one Ho(1), one Ho(2), one Ho(3), and one Ti(1) atom to form distorted OHo3Ti trigonal pyramids that share  a cornercorner with one O(8)Ho3MgTi trigonal bipyramid,  a cornercorner with one O(2)Ho2MgTi trigonal pyramid, corners with two equivalent O(6)Ho3Ti trigonal pyramids,  an edgeedge with one O(8)Ho3MgTi trigonal bipyramid, and  an edgeedge with one O(5)Ho3Ti trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Ho(1), one Ho(3), one Ti(1), and one Ti(2) atom. In the fifth O site, O(5) is bonded to one Ho(1), one Ho(3), one Ho(4), and one Ti(2) atom to form OHo3Ti trigonal pyramids that share corners with two equivalent O(8)Ho3MgTi trigonal bipyramids,  a cornercorner with one O(6)Ho3Ti trigonal pyramid, corners with two equivalent O(2)Ho2MgTi trigonal pyramids,  an edgeedge with one O(3)Ho3Ti trigonal pyramid, and  an edgeedge with one O(6)Ho3Ti trigonal pyramid. In the sixth O site, O(6) is bonded to one Ho(1), one Ho(2), one Ho(4), and one Ti(2) atom to form OHo3Ti trigonal pyramids that share  a cornercorner with one O(2)Ho2MgTi trigonal pyramid,  a cornercorner with one O(5)Ho3Ti trigonal pyramid, corners with two equivalent O(3)Ho3Ti trigonal pyramids,  an edgeedge with one O(8)Ho3MgTi trigonal bipyramid,  an edgeedge with one O(2)Ho2MgTi trigonal pyramid, and  an edgeedge with one O(5)Ho3Ti trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Ho(2), one Ho(4), and one Ti(2) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Ho(2), one Ho(3), one Ho(4), and one Ti(1) atom to form distorted OHo3MgTi trigonal bipyramids that share  a cornercorner with one O(2)Ho2MgTi trigonal pyramid,  a cornercorner with one O(3)Ho3Ti trigonal pyramid, corners with two equivalent O(5)Ho3Ti trigonal pyramids,  an edgeedge with one O(2)Ho2MgTi trigonal pyramid,  an edgeedge with one O(3)Ho3Ti trigonal pyramid, and  an edgeedge with one O(6)Ho3Ti trigonal pyramid. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Ho(1), one Ho(3), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ho(2), one Ho(4), and one Ti(1) atom. is represented by the CIF file [CIF]
data_Ho4MgTi2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.302
_cell_length_b   6.306
_cell_length_c   7.989
_cell_angle_alpha   69.299
_cell_angle_beta   109.080
_cell_angle_gamma   128.379
_symmetry_Int_Tables_number   1
_cell_volume   230.323
_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  0.381  0.631  0.785  1.0
  Ho  Ho1  1  0.382  0.610  0.267  1.0
  Ho  Ho2  1  0.649  0.370  0.715  1.0
  Ho  Ho3  1  0.638  0.357  0.196  1.0
  Mg  Mg4  1  0.138  0.819  0.394  1.0
  Ti  Ti5  1  0.997  0.048  0.549  1.0
  Ti  Ti6  1  0.999  0.992  0.987  1.0
  O  O7  1  0.057  0.702  0.643  1.0
  O  O8  1  0.300  0.932  0.170  1.0
  O  O9  1  0.600  0.761  0.542  1.0
  O  O10  1  0.215  0.195  0.767  1.0
  O  O11  1  0.755  0.591  0.930  1.0
  O  O12  1  0.260  0.386  0.056  1.0
  O  O13  1  0.805  0.778  0.233  1.0
  O  O14  1  0.365  0.219  0.448  1.0
  O  O15  1  0.705  0.039  0.857  1.0
  O  O16  1  0.994  0.381  0.389  1.0
[/CIF]
.
The structure described by MgHo4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(2), one O(7), and one O(8) atom to form distorted MgO5 square pyramids that share  a cornercorner with one Ho(1)O6 octahedra, corners with two equivalent Ho(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Ti(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 43-82°. There are four inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(9) atom to form distorted HoO6 octahedra that share corners with two equivalent Ho(2)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, corners with three equivalent Ti(1)O5 trigonal bipyramids, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-62°. In the second Ho site, Ho(2) is bonded to one O(10), one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form distorted HoO6 octahedra that share corners with two equivalent Ho(1)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O5 square pyramid, and  an edgeedge with one Ti(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 36-62°. In the third Ho site, Ho(3) is bonded in a 6-coordinate geometry to one O(1), one O(3), one O(4), one O(5), one O(8), and one O(9) atom. In the fourth Ho site, Ho(4) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(5), one O(6), one O(7), and one O(8) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(10), one O(3), one O(4), and one O(8) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with three equivalent Ho(1)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Ho(2)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 40-66°. In the second Ti site, Ti(2) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with three equivalent Ho(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid, edges with two equivalent Ho(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 36-50°. There are ten 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(1), one Ho(3), and one Ti(1) atom. In the second O site, O(2) is bonded to one Mg(1), one Ho(2), one Ho(4), and one Ti(2) atom to form OHo2MgTi trigonal pyramids that share  a cornercorner with one O(8)Ho3MgTi trigonal bipyramid,  a cornercorner with one O(3)Ho3Ti trigonal pyramid,  a cornercorner with one O(6)Ho3Ti trigonal pyramid, corners with two equivalent O(5)Ho3Ti trigonal pyramids,  an edgeedge with one O(8)Ho3MgTi trigonal bipyramid, and  an edgeedge with one O(6)Ho3Ti trigonal pyramid. In the third O site, O(3) is bonded to one Ho(1), one Ho(2), one Ho(3), and one Ti(1) atom to form distorted OHo3Ti trigonal pyramids that share  a cornercorner with one O(8)Ho3MgTi trigonal bipyramid,  a cornercorner with one O(2)Ho2MgTi trigonal pyramid, corners with two equivalent O(6)Ho3Ti trigonal pyramids,  an edgeedge with one O(8)Ho3MgTi trigonal bipyramid, and  an edgeedge with one O(5)Ho3Ti trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Ho(1), one Ho(3), one Ti(1), and one Ti(2) atom. In the fifth O site, O(5) is bonded to one Ho(1), one Ho(3), one Ho(4), and one Ti(2) atom to form OHo3Ti trigonal pyramids that share corners with two equivalent O(8)Ho3MgTi trigonal bipyramids,  a cornercorner with one O(6)Ho3Ti trigonal pyramid, corners with two equivalent O(2)Ho2MgTi trigonal pyramids,  an edgeedge with one O(3)Ho3Ti trigonal pyramid, and  an edgeedge with one O(6)Ho3Ti trigonal pyramid. In the sixth O site, O(6) is bonded to one Ho(1), one Ho(2), one Ho(4), and one Ti(2) atom to form OHo3Ti trigonal pyramids that share  a cornercorner with one O(2)Ho2MgTi trigonal pyramid,  a cornercorner with one O(5)Ho3Ti trigonal pyramid, corners with two equivalent O(3)Ho3Ti trigonal pyramids,  an edgeedge with one O(8)Ho3MgTi trigonal bipyramid,  an edgeedge with one O(2)Ho2MgTi trigonal pyramid, and  an edgeedge with one O(5)Ho3Ti trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Ho(2), one Ho(4), and one Ti(2) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Ho(2), one Ho(3), one Ho(4), and one Ti(1) atom to form distorted OHo3MgTi trigonal bipyramids that share  a cornercorner with one O(2)Ho2MgTi trigonal pyramid,  a cornercorner with one O(3)Ho3Ti trigonal pyramid, corners with two equivalent O(5)Ho3Ti trigonal pyramids,  an edgeedge with one O(2)Ho2MgTi trigonal pyramid,  an edgeedge with one O(3)Ho3Ti trigonal pyramid, and  an edgeedge with one O(6)Ho3Ti trigonal pyramid. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Ho(1), one Ho(3), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ho(2), one Ho(4), and one Ti(1) atom. is represented by the CIF file [CIF]
data_Ho4MgTi2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.302
_cell_length_b   6.306
_cell_length_c   7.989
_cell_angle_alpha   69.299
_cell_angle_beta   109.080
_cell_angle_gamma   128.379
_symmetry_Int_Tables_number   1
_cell_volume   230.323
_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  0.381  0.631  0.785  1.0
  Ho  Ho1  1  0.382  0.610  0.267  1.0
  Ho  Ho2  1  0.649  0.370  0.715  1.0
  Ho  Ho3  1  0.638  0.357  0.196  1.0
  Mg  Mg4  1  0.138  0.819  0.394  1.0
  Ti  Ti5  1  0.997  0.048  0.549  1.0
  Ti  Ti6  1  0.999  0.992  0.987  1.0
  O  O7  1  0.057  0.702  0.643  1.0
  O  O8  1  0.300  0.932  0.170  1.0
  O  O9  1  0.600  0.761  0.542  1.0
  O  O10  1  0.215  0.195  0.767  1.0
  O  O11  1  0.755  0.591  0.930  1.0
  O  O12  1  0.260  0.386  0.056  1.0
  O  O13  1  0.805  0.778  0.233  1.0
  O  O14  1  0.365  0.219  0.448  1.0
  O  O15  1  0.705  0.039  0.857  1.0
  O  O16  1  0.994  0.381  0.389  1.0
[/CIF]
.