The structure described by Ho10Ti6O27 crystallizes in the monoclinic Cm space group. There are eight inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 6-coordinate geometry to one O(16), one O(5), two equivalent O(13), and two equivalent O(3) atoms. In the second Ho site, Ho(2) is bonded in a 6-coordinate geometry to one O(10), one O(2), two equivalent O(1), and two equivalent O(9) atoms. In the third Ho site, Ho(3) is bonded in a 7-coordinate geometry to one O(1), one O(10), 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 to one O(12), one O(17), one O(19), two equivalent O(18), and two equivalent O(7) atoms to form distorted HoO7 pentagonal bipyramids that share  a cornercorner with one Ho(5)O7 hexagonal pyramid, corners with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Ho site, Ho(5) is bonded to one O(10), one O(12), one O(15), two equivalent O(11), and two equivalent O(4) atoms to form distorted HoO7 hexagonal pyramids that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Ho(4)O7 pentagonal bipyramid, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the sixth Ho site, Ho(6) is bonded in a 7-coordinate geometry to one O(11), one O(12), one O(13), one O(14), one O(16), one O(17), and one O(18) atom. In the seventh Ho site, Ho(7) is bonded to one O(5), one O(6), one O(8), two equivalent O(1), and two equivalent O(9) atoms to form distorted HoO7 pentagonal bipyramids that share  a cornercorner with one Ti(4)O6 octahedra and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 71°. In the eighth Ho site, Ho(8) is bonded in a 6-coordinate geometry to one O(17), one O(2), two equivalent O(13), and two equivalent O(3) atoms. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(13), one O(19), one O(2), one O(3), one O(7), and one O(9) atom. In the second Ti site, Ti(2) is bonded to one O(1), one O(11), one O(15), one O(18), one O(4), and one O(6) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ho(5)O7 hexagonal pyramid,  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  a cornercorner with one Ho(4)O7 pentagonal bipyramid,  an edgeedge with one Ho(5)O7 hexagonal pyramid, and  an edgeedge with one Ho(7)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 28-61°. In the third Ti site, Ti(3) is bonded to one O(14), one O(16), two equivalent O(18), and two equivalent O(7) atoms to form distorted TiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ho(4)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 47-61°. In the fourth Ti site, Ti(4) is bonded to one O(14), one O(8), two equivalent O(11), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  a cornercorner with one Ho(7)O7 pentagonal bipyramid, and edges with two equivalent Ho(5)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 47-52°. There are nineteen inequivalent O sites. In the first O site, O(1) is bonded to one Ho(2), one Ho(3), one Ho(7), and one Ti(2) atom to form distorted OHo3Ti tetrahedra that share  a cornercorner with one O(11)Ho2Ti2 tetrahedra,  a cornercorner with one O(18)Ho2Ti2 tetrahedra,  a cornercorner with one O(2)Ho2Ti2 tetrahedra,  a cornercorner with one O(3)Ho3Ti tetrahedra, corners with two equivalent O(1)Ho3Ti tetrahedra, corners with two equivalent O(8)Ho3Ti tetrahedra, corners with two equivalent O(10)Ho4 tetrahedra, and  an edgeedge with one O(5)Ho4 tetrahedra. In the second O site, O(2) is bonded to one Ho(2), one Ho(8), and two equivalent Ti(1) atoms to form OHo2Ti2 tetrahedra that share  a cornercorner with one O(10)Ho4 tetrahedra,  a cornercorner with one O(17)Ho4 tetrahedra, corners with two equivalent O(1)Ho3Ti tetrahedra, and corners with four equivalent O(3)Ho3Ti tetrahedra. In the third O site, O(3) is bonded to one Ho(1), one Ho(3), one Ho(8), and one Ti(1) atom to form OHo3Ti tetrahedra that share  a cornercorner with one O(1)Ho3Ti tetrahedra,  a cornercorner with one O(16)Ho3Ti tetrahedra,  a cornercorner with one O(8)Ho3Ti tetrahedra,  a cornercorner with one O(10)Ho4 tetrahedra,  a cornercorner with one O(17)Ho4 tetrahedra, corners with two equivalent O(2)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, and  an edgeedge with one O(5)Ho4 tetrahedra. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Ho(3), one Ho(5), one Ti(2), and one Ti(4) atom. In the fifth O site, O(5) is bonded to one Ho(1), one Ho(7), and two equivalent Ho(3) atoms to form OHo4 tetrahedra that share  a cornercorner with one O(16)Ho3Ti tetrahedra, corners with three equivalent O(8)Ho3Ti tetrahedra,  an edgeedge with one O(10)Ho4 tetrahedra, edges with two equivalent O(1)Ho3Ti tetrahedra, and edges with two equivalent O(3)Ho3Ti tetrahedra. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Ho(7) and two equivalent Ti(2) atoms. In the seventh O site, O(7) is bonded in a distorted bent 150 degrees geometry to one Ho(4), one Ti(1), and one Ti(3) atom. In the eighth O site, O(8) is bonded to one Ho(7), two equivalent Ho(3), and one Ti(4) atom to form OHo3Ti tetrahedra that share corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with two equivalent O(10)Ho4 tetrahedra, corners with three equivalent O(5)Ho4 tetrahedra, and corners with four equivalent O(1)Ho3Ti tetrahedra. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Ho(2), one Ho(3), one Ho(7), and one Ti(1) atom. In the tenth O site, O(10) is bonded to one Ho(2), one Ho(5), and two equivalent Ho(3) atoms to form OHo4 tetrahedra that share  a cornercorner with one O(2)Ho2Ti2 tetrahedra,  a cornercorner with one O(12)Ho4 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with two equivalent O(8)Ho3Ti tetrahedra, corners with four equivalent O(1)Ho3Ti tetrahedra, and  an edgeedge with one O(5)Ho4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ho(5), one Ho(6), one Ti(2), and one Ti(4) atom to form distorted OHo2Ti2 tetrahedra that share  a cornercorner with one O(1)Ho3Ti tetrahedra,  a cornercorner with one O(16)Ho3Ti tetrahedra,  a cornercorner with one O(8)Ho3Ti tetrahedra,  a cornercorner with one O(10)Ho4 tetrahedra,  a cornercorner with one O(17)Ho4 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra,  an edgeedge with one O(18)Ho2Ti2 tetrahedra, and  an edgeedge with one O(12)Ho4 tetrahedra. In the twelfth O site, O(12) is bonded to one Ho(4), one Ho(5), and two equivalent Ho(6) atoms to form distorted OHo4 tetrahedra that share  a cornercorner with one O(10)Ho4 tetrahedra, corners with three equivalent O(17)Ho4 tetrahedra, corners with four equivalent O(18)Ho2Ti2 tetrahedra,  an edgeedge with one O(16)Ho3Ti tetrahedra, and edges with two equivalent O(11)Ho2Ti2 tetrahedra. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(6), one Ho(8), and one Ti(1) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho(6), one Ti(3), and one Ti(4) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one Ho(5) and two equivalent Ti(2) atoms. In the sixteenth O site, O(16) is bonded to one Ho(1), two equivalent Ho(6), and one Ti(3) atom to form OHo3Ti tetrahedra that share  a cornercorner with one O(5)Ho4 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with two equivalent O(17)Ho4 tetrahedra,  an edgeedge with one O(12)Ho4 tetrahedra, and edges with two equivalent O(18)Ho2Ti2 tetrahedra. In the seventeenth O site, O(17) is bonded to one Ho(4), one Ho(8), and two equivalent Ho(6) atoms to form OHo4 tetrahedra that share  a cornercorner with one O(2)Ho2Ti2 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(16)Ho3Ti tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with three equivalent O(12)Ho4 tetrahedra, and edges with two equivalent O(18)Ho2Ti2 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ho(4), one Ho(6), one Ti(2), and one Ti(3) atom to form distorted OHo2Ti2 tetrahedra that share  a cornercorner with one O(1)Ho3Ti tetrahedra, corners with two equivalent O(18)Ho2Ti2 tetrahedra, corners with two equivalent O(12)Ho4 tetrahedra,  an edgeedge with one O(11)Ho2Ti2 tetrahedra,  an edgeedge with one O(16)Ho3Ti tetrahedra, and  an edgeedge with one O(17)Ho4 tetrahedra. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Ho(4) and two equivalent Ti(1) atoms. is represented by the CIF file [CIF]
data_Ho10Ti6O27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.399
_cell_length_b   7.399
_cell_length_c   12.499
_cell_angle_alpha   72.143
_cell_angle_beta   72.143
_cell_angle_gamma   58.695
_symmetry_Int_Tables_number   1
_cell_volume   547.284
_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  0.519  0.519  0.996  1.0
  Ho  Ho1  1  0.745  0.745  0.235  1.0
  Ho  Ho2  1  0.259  0.749  0.253  1.0
  Ho  Ho3  1  0.250  0.250  0.768  1.0
  Ho  Ho4  1  0.516  0.516  0.503  1.0
  Ho  Ho5  1  0.749  0.259  0.253  1.0
  Ho  Ho6  1  0.772  0.279  0.732  1.0
  Ho  Ho7  1  0.258  0.258  0.274  1.0
  Ho  Ho8  1  0.279  0.772  0.732  1.0
  Ho  Ho9  1  0.982  0.982  0.991  1.0
  Ti  Ti10  1  0.020  0.495  0.005  1.0
  Ti  Ti11  1  0.495  0.020  0.005  1.0
  Ti  Ti12  1  0.007  0.519  0.494  1.0
  Ti  Ti13  1  0.519  0.007  0.494  1.0
  Ti  Ti14  1  0.748  0.748  0.756  1.0
  Ti  Ti15  1  0.001  0.001  0.506  1.0
  O  O16  1  0.609  0.027  0.316  1.0
  O  O17  1  0.790  0.790  0.043  1.0
  O  O18  1  0.835  0.279  0.064  1.0
  O  O19  1  0.027  0.609  0.316  1.0
  O  O20  1  0.144  0.679  0.478  1.0
  O  O21  1  0.436  0.436  0.186  1.0
  O  O22  1  0.267  0.267  0.455  1.0
  O  O23  1  0.921  0.557  0.863  1.0
  O  O24  1  0.279  0.835  0.064  1.0
  O  O25  1  0.059  0.059  0.341  1.0
  O  O26  1  0.422  0.997  0.166  1.0
  O  O27  1  0.569  0.569  0.316  1.0
  O  O28  1  0.284  0.880  0.538  1.0
  O  O29  1  0.679  0.144  0.478  1.0
  O  O30  1  0.557  0.921  0.863  1.0
  O  O31  1  0.431  0.431  0.690  1.0
  O  O32  1  0.628  0.198  0.943  1.0
  O  O33  1  0.907  0.907  0.675  1.0
  O  O34  1  0.696  0.696  0.497  1.0
  O  O35  1  0.997  0.422  0.166  1.0
  O  O36  1  0.880  0.284  0.538  1.0
  O  O37  1  0.586  0.586  0.796  1.0
  O  O38  1  0.065  0.065  0.811  1.0
  O  O39  1  0.973  0.466  0.660  1.0
  O  O40  1  0.198  0.628  0.943  1.0
  O  O41  1  0.466  0.973  0.660  1.0
  O  O42  1  0.238  0.238  0.952  1.0
[/CIF]
.
The structure described by Ho10Ti6O27 crystallizes in the monoclinic Cm space group. There are eight inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 6-coordinate geometry to one O(16), one O(5), two equivalent O(13), and two equivalent O(3) atoms. In the second Ho site, Ho(2) is bonded in a 6-coordinate geometry to one O(10), one O(2), two equivalent O(1), and two equivalent O(9) atoms. In the third Ho site, Ho(3) is bonded in a 7-coordinate geometry to one O(1), one O(10), 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 to one O(12), one O(17), one O(19), two equivalent O(18), and two equivalent O(7) atoms to form distorted HoO7 pentagonal bipyramids that share  a cornercorner with one Ho(5)O7 hexagonal pyramid, corners with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Ho site, Ho(5) is bonded to one O(10), one O(12), one O(15), two equivalent O(11), and two equivalent O(4) atoms to form distorted HoO7 hexagonal pyramids that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Ho(4)O7 pentagonal bipyramid, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the sixth Ho site, Ho(6) is bonded in a 7-coordinate geometry to one O(11), one O(12), one O(13), one O(14), one O(16), one O(17), and one O(18) atom. In the seventh Ho site, Ho(7) is bonded to one O(5), one O(6), one O(8), two equivalent O(1), and two equivalent O(9) atoms to form distorted HoO7 pentagonal bipyramids that share  a cornercorner with one Ti(4)O6 octahedra and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 71°. In the eighth Ho site, Ho(8) is bonded in a 6-coordinate geometry to one O(17), one O(2), two equivalent O(13), and two equivalent O(3) atoms. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(13), one O(19), one O(2), one O(3), one O(7), and one O(9) atom. In the second Ti site, Ti(2) is bonded to one O(1), one O(11), one O(15), one O(18), one O(4), and one O(6) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ho(5)O7 hexagonal pyramid,  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  a cornercorner with one Ho(4)O7 pentagonal bipyramid,  an edgeedge with one Ho(5)O7 hexagonal pyramid, and  an edgeedge with one Ho(7)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 28-61°. In the third Ti site, Ti(3) is bonded to one O(14), one O(16), two equivalent O(18), and two equivalent O(7) atoms to form distorted TiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ho(4)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 47-61°. In the fourth Ti site, Ti(4) is bonded to one O(14), one O(8), two equivalent O(11), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  a cornercorner with one Ho(7)O7 pentagonal bipyramid, and edges with two equivalent Ho(5)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 47-52°. There are nineteen inequivalent O sites. In the first O site, O(1) is bonded to one Ho(2), one Ho(3), one Ho(7), and one Ti(2) atom to form distorted OHo3Ti tetrahedra that share  a cornercorner with one O(11)Ho2Ti2 tetrahedra,  a cornercorner with one O(18)Ho2Ti2 tetrahedra,  a cornercorner with one O(2)Ho2Ti2 tetrahedra,  a cornercorner with one O(3)Ho3Ti tetrahedra, corners with two equivalent O(1)Ho3Ti tetrahedra, corners with two equivalent O(8)Ho3Ti tetrahedra, corners with two equivalent O(10)Ho4 tetrahedra, and  an edgeedge with one O(5)Ho4 tetrahedra. In the second O site, O(2) is bonded to one Ho(2), one Ho(8), and two equivalent Ti(1) atoms to form OHo2Ti2 tetrahedra that share  a cornercorner with one O(10)Ho4 tetrahedra,  a cornercorner with one O(17)Ho4 tetrahedra, corners with two equivalent O(1)Ho3Ti tetrahedra, and corners with four equivalent O(3)Ho3Ti tetrahedra. In the third O site, O(3) is bonded to one Ho(1), one Ho(3), one Ho(8), and one Ti(1) atom to form OHo3Ti tetrahedra that share  a cornercorner with one O(1)Ho3Ti tetrahedra,  a cornercorner with one O(16)Ho3Ti tetrahedra,  a cornercorner with one O(8)Ho3Ti tetrahedra,  a cornercorner with one O(10)Ho4 tetrahedra,  a cornercorner with one O(17)Ho4 tetrahedra, corners with two equivalent O(2)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, and  an edgeedge with one O(5)Ho4 tetrahedra. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Ho(3), one Ho(5), one Ti(2), and one Ti(4) atom. In the fifth O site, O(5) is bonded to one Ho(1), one Ho(7), and two equivalent Ho(3) atoms to form OHo4 tetrahedra that share  a cornercorner with one O(16)Ho3Ti tetrahedra, corners with three equivalent O(8)Ho3Ti tetrahedra,  an edgeedge with one O(10)Ho4 tetrahedra, edges with two equivalent O(1)Ho3Ti tetrahedra, and edges with two equivalent O(3)Ho3Ti tetrahedra. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Ho(7) and two equivalent Ti(2) atoms. In the seventh O site, O(7) is bonded in a distorted bent 150 degrees geometry to one Ho(4), one Ti(1), and one Ti(3) atom. In the eighth O site, O(8) is bonded to one Ho(7), two equivalent Ho(3), and one Ti(4) atom to form OHo3Ti tetrahedra that share corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with two equivalent O(10)Ho4 tetrahedra, corners with three equivalent O(5)Ho4 tetrahedra, and corners with four equivalent O(1)Ho3Ti tetrahedra. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Ho(2), one Ho(3), one Ho(7), and one Ti(1) atom. In the tenth O site, O(10) is bonded to one Ho(2), one Ho(5), and two equivalent Ho(3) atoms to form OHo4 tetrahedra that share  a cornercorner with one O(2)Ho2Ti2 tetrahedra,  a cornercorner with one O(12)Ho4 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with two equivalent O(8)Ho3Ti tetrahedra, corners with four equivalent O(1)Ho3Ti tetrahedra, and  an edgeedge with one O(5)Ho4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ho(5), one Ho(6), one Ti(2), and one Ti(4) atom to form distorted OHo2Ti2 tetrahedra that share  a cornercorner with one O(1)Ho3Ti tetrahedra,  a cornercorner with one O(16)Ho3Ti tetrahedra,  a cornercorner with one O(8)Ho3Ti tetrahedra,  a cornercorner with one O(10)Ho4 tetrahedra,  a cornercorner with one O(17)Ho4 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra,  an edgeedge with one O(18)Ho2Ti2 tetrahedra, and  an edgeedge with one O(12)Ho4 tetrahedra. In the twelfth O site, O(12) is bonded to one Ho(4), one Ho(5), and two equivalent Ho(6) atoms to form distorted OHo4 tetrahedra that share  a cornercorner with one O(10)Ho4 tetrahedra, corners with three equivalent O(17)Ho4 tetrahedra, corners with four equivalent O(18)Ho2Ti2 tetrahedra,  an edgeedge with one O(16)Ho3Ti tetrahedra, and edges with two equivalent O(11)Ho2Ti2 tetrahedra. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(6), one Ho(8), and one Ti(1) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho(6), one Ti(3), and one Ti(4) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one Ho(5) and two equivalent Ti(2) atoms. In the sixteenth O site, O(16) is bonded to one Ho(1), two equivalent Ho(6), and one Ti(3) atom to form OHo3Ti tetrahedra that share  a cornercorner with one O(5)Ho4 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with two equivalent O(17)Ho4 tetrahedra,  an edgeedge with one O(12)Ho4 tetrahedra, and edges with two equivalent O(18)Ho2Ti2 tetrahedra. In the seventeenth O site, O(17) is bonded to one Ho(4), one Ho(8), and two equivalent Ho(6) atoms to form OHo4 tetrahedra that share  a cornercorner with one O(2)Ho2Ti2 tetrahedra, corners with two equivalent O(11)Ho2Ti2 tetrahedra, corners with two equivalent O(16)Ho3Ti tetrahedra, corners with two equivalent O(3)Ho3Ti tetrahedra, corners with three equivalent O(12)Ho4 tetrahedra, and edges with two equivalent O(18)Ho2Ti2 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ho(4), one Ho(6), one Ti(2), and one Ti(3) atom to form distorted OHo2Ti2 tetrahedra that share  a cornercorner with one O(1)Ho3Ti tetrahedra, corners with two equivalent O(18)Ho2Ti2 tetrahedra, corners with two equivalent O(12)Ho4 tetrahedra,  an edgeedge with one O(11)Ho2Ti2 tetrahedra,  an edgeedge with one O(16)Ho3Ti tetrahedra, and  an edgeedge with one O(17)Ho4 tetrahedra. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Ho(4) and two equivalent Ti(1) atoms. is represented by the CIF file [CIF]
data_Ho10Ti6O27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.399
_cell_length_b   7.399
_cell_length_c   12.499
_cell_angle_alpha   72.143
_cell_angle_beta   72.143
_cell_angle_gamma   58.695
_symmetry_Int_Tables_number   1
_cell_volume   547.284
_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  0.519  0.519  0.996  1.0
  Ho  Ho1  1  0.745  0.745  0.235  1.0
  Ho  Ho2  1  0.259  0.749  0.253  1.0
  Ho  Ho3  1  0.250  0.250  0.768  1.0
  Ho  Ho4  1  0.516  0.516  0.503  1.0
  Ho  Ho5  1  0.749  0.259  0.253  1.0
  Ho  Ho6  1  0.772  0.279  0.732  1.0
  Ho  Ho7  1  0.258  0.258  0.274  1.0
  Ho  Ho8  1  0.279  0.772  0.732  1.0
  Ho  Ho9  1  0.982  0.982  0.991  1.0
  Ti  Ti10  1  0.020  0.495  0.005  1.0
  Ti  Ti11  1  0.495  0.020  0.005  1.0
  Ti  Ti12  1  0.007  0.519  0.494  1.0
  Ti  Ti13  1  0.519  0.007  0.494  1.0
  Ti  Ti14  1  0.748  0.748  0.756  1.0
  Ti  Ti15  1  0.001  0.001  0.506  1.0
  O  O16  1  0.609  0.027  0.316  1.0
  O  O17  1  0.790  0.790  0.043  1.0
  O  O18  1  0.835  0.279  0.064  1.0
  O  O19  1  0.027  0.609  0.316  1.0
  O  O20  1  0.144  0.679  0.478  1.0
  O  O21  1  0.436  0.436  0.186  1.0
  O  O22  1  0.267  0.267  0.455  1.0
  O  O23  1  0.921  0.557  0.863  1.0
  O  O24  1  0.279  0.835  0.064  1.0
  O  O25  1  0.059  0.059  0.341  1.0
  O  O26  1  0.422  0.997  0.166  1.0
  O  O27  1  0.569  0.569  0.316  1.0
  O  O28  1  0.284  0.880  0.538  1.0
  O  O29  1  0.679  0.144  0.478  1.0
  O  O30  1  0.557  0.921  0.863  1.0
  O  O31  1  0.431  0.431  0.690  1.0
  O  O32  1  0.628  0.198  0.943  1.0
  O  O33  1  0.907  0.907  0.675  1.0
  O  O34  1  0.696  0.696  0.497  1.0
  O  O35  1  0.997  0.422  0.166  1.0
  O  O36  1  0.880  0.284  0.538  1.0
  O  O37  1  0.586  0.586  0.796  1.0
  O  O38  1  0.065  0.065  0.811  1.0
  O  O39  1  0.973  0.466  0.660  1.0
  O  O40  1  0.198  0.628  0.943  1.0
  O  O41  1  0.466  0.973  0.660  1.0
  O  O42  1  0.238  0.238  0.952  1.0
[/CIF]
.