The structure described by Yb10Ti6O27 crystallizes in the triclinic P1 space group. There are ten inequivalent Yb sites. In the first Yb site, Yb(1) is bonded in a 7-coordinate geometry to one O(15), one O(19), one O(20), one O(24), one O(27), one O(3), and one O(7) atom. In the second Yb site, Yb(2) is bonded in a 7-coordinate geometry to one O(1), one O(17), one O(23), one O(24), one O(27), one O(3), and one O(9) atom. In the third Yb site, Yb(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(14), one O(2), one O(3), and one O(6) atom. In the fourth Yb site, Yb(4) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(11), one O(4), one O(5), one O(6), and one O(9) atom. In the fifth Yb site, Yb(5) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(20), one O(25), one O(4), and one O(6) atom. In the sixth Yb site, Yb(6) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(15), one O(17), one O(27), one O(6), and one O(9) atom. In the seventh Yb site, Yb(7) is bonded in a 6-coordinate geometry to one O(12), one O(13), one O(14), one O(18), one O(5), and one O(8) atom. In the eighth Yb site, Yb(8) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(16), one O(23), one O(24), one O(26), and one O(7) atom. In the ninth Yb site, Yb(9) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(2), one O(20), and one O(4) atom. In the tenth Yb site, Yb(10) is bonded to one O(15), one O(16), one O(19), one O(21), one O(22), one O(26), and one O(7) atom to form distorted YbO7 pentagonal bipyramids that share  an edgeedge with one Ti(4)O6 octahedra. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(17), one O(19), one O(24), one O(3), one O(6), and one O(9) atom. In the second Ti site, Ti(2) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(14), one O(16), one O(25), and one O(5) atom. In the third Ti site, Ti(3) is bonded in a 6-coordinate geometry to one O(12), one O(2), one O(21), one O(25), one O(26), and one O(8) atom. In the fourth Ti site, Ti(4) is bonded to one O(13), one O(15), one O(16), one O(17), one O(18), and one O(23) atom to form distorted TiO6 octahedra that share  an edgeedge with one Yb(10)O7 pentagonal bipyramid. In the fifth Ti site, Ti(5) is bonded in a 6-coordinate geometry to one O(21), one O(22), one O(25), one O(4), one O(5), and one O(8) atom. In the sixth Ti site, Ti(6) is bonded in a 4-coordinate geometry to one O(13), one O(23), one O(26), one O(27), one O(7), and one O(8) atom. There are twenty-seven inequivalent O sites. In the first O site, O(1) is bonded to one Yb(2), one Yb(3), one Yb(4), one Yb(6), and one Yb(9) atom to form OYb5 square pyramids that share  a cornercorner with one O(5)Yb2Ti2 tetrahedra,  a cornercorner with one O(24)Yb3Ti tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  an edgeedge with one O(10)Yb3Ti tetrahedra,  an edgeedge with one O(2)Yb3Ti tetrahedra,  an edgeedge with one O(4)Yb3Ti tetrahedra,  an edgeedge with one O(3)Yb3TiO trigonal bipyramid, and  an edgeedge with one O(9)Yb3TiO trigonal bipyramid. In the second O site, O(2) is bonded to one Yb(3), one Yb(5), one Yb(9), and one Ti(3) atom to form OYb3Ti tetrahedra that share  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(10)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  a cornercorner with one O(3)Yb3TiO trigonal bipyramid,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid, and  an edgeedge with one O(1)Yb5 square pyramid. In the third O site, O(3) is bonded to one Yb(1), one Yb(2), one Yb(3), one Ti(1), and one O(20) atom to form distorted OYb3TiO trigonal bipyramids that share  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(2)Yb3Ti tetrahedra, corners with three equivalent O(24)Yb3Ti tetrahedra, corners with two equivalent O(9)Yb3TiO trigonal bipyramids,  a cornercorner with one O(7)Yb3Ti trigonal pyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(27)Yb3Ti tetrahedra. In the fourth O site, O(4) is bonded to one Yb(4), one Yb(5), one Yb(9), and one Ti(5) atom to form OYb3Ti tetrahedra that share  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(10)Yb3Ti tetrahedra, corners with two equivalent O(2)Yb3Ti tetrahedra,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the fifth O site, O(5) is bonded to one Yb(4), one Yb(7), one Ti(2), and one Ti(5) atom to form distorted OYb2Ti2 tetrahedra that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  an edgeedge with one O(10)Yb3Ti tetrahedra,  an edgeedge with one O(4)Yb3Ti tetrahedra,  an edgeedge with one O(8)YbTi3 tetrahedra, and  an edgeedge with one O(12)Yb2Ti2 trigonal pyramid. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Yb(3), one Yb(4), one Yb(5), one Yb(6), and one Ti(1) atom. In the seventh O site, O(7) is bonded to one Yb(1), one Yb(10), one Yb(8), and one Ti(6) atom to form OYb3Ti trigonal pyramids that share  a cornercorner with one O(8)YbTi3 tetrahedra, corners with three equivalent O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(3)Yb3TiO trigonal bipyramid,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(24)Yb3Ti tetrahedra, and  an edgeedge with one O(27)Yb3Ti tetrahedra. In the eighth O site, O(8) is bonded to one Yb(7), one Ti(3), one Ti(5), and one Ti(6) atom to form distorted OYbTi3 tetrahedra that share  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra,  a cornercorner with one O(4)Yb3Ti tetrahedra,  a cornercorner with one O(7)Yb3Ti trigonal pyramid, corners with two equivalent O(12)Yb2Ti2 trigonal pyramids,  an edgeedge with one O(26)Yb2Ti2 tetrahedra, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the ninth O site, O(9) is bonded to one Yb(2), one Yb(4), one Yb(6), one Ti(1), and one O(11) atom to form distorted OYb3TiO trigonal bipyramids that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(5)Yb2Ti2 tetrahedra,  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(4)Yb3Ti tetrahedra, corners with two equivalent O(3)Yb3TiO trigonal bipyramids,  an edgeedge with one O(1)Yb5 square pyramid,  an edgeedge with one O(24)Yb3Ti tetrahedra, and  an edgeedge with one O(27)Yb3Ti tetrahedra. In the tenth O site, O(10) is bonded to one Yb(3), one Yb(4), one Yb(5), and one Ti(2) atom to form OYb3Ti tetrahedra that share corners with two equivalent O(2)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  a cornercorner with one O(3)Yb3TiO trigonal bipyramid,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Yb(4), one Yb(5), one Yb(6), one Yb(9), and one O(9) atom. In the twelfth O site, O(12) is bonded to one Yb(7), one Yb(8), one Ti(2), and one Ti(3) atom to form distorted OYb2Ti2 trigonal pyramids that share  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti tetrahedra, corners with two equivalent O(8)YbTi3 tetrahedra,  a cornercorner with one O(7)Yb3Ti trigonal pyramid,  an edgeedge with one O(26)Yb2Ti2 tetrahedra, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Yb(7), one Yb(8), one Ti(4), and one Ti(6) atom. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Yb(3), one Yb(7), and one Ti(2) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Yb(1), one Yb(10), one Yb(6), and one Ti(4) atom. In the sixteenth O site, O(16) is bonded in a distorted rectangular see-saw-like geometry to one Yb(10), one Yb(8), one Ti(2), and one Ti(4) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Yb(2), one Yb(6), one Ti(1), and one Ti(4) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Yb(7), one Ti(4), and one O(22) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Yb(1), one Yb(10), and one Ti(1) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Yb(1), one Yb(5), one Yb(9), and one O(3) atom. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Yb(10), one Ti(3), and one Ti(5) atom. In the twenty-second O site, O(22) is bonded in a 3-coordinate geometry to one Yb(10), one Ti(5), and one O(18) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Yb(2), one Yb(8), one Ti(4), and one Ti(6) atom. In the twenty-fourth O site, O(24) is bonded to one Yb(1), one Yb(2), one Yb(8), and one Ti(1) atom to form distorted OYb3Ti tetrahedra that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(26)Yb2Ti2 tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra, corners with three equivalent O(3)Yb3TiO trigonal bipyramids,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(9)Yb3TiO trigonal bipyramid, and  an edgeedge with one O(7)Yb3Ti trigonal pyramid. In the twenty-fifth O site, O(25) is bonded in a 4-coordinate geometry to one Yb(5), one Ti(2), one Ti(3), and one Ti(5) atom. In the twenty-sixth O site, O(26) is bonded to one Yb(10), one Yb(8), one Ti(3), and one Ti(6) atom to form distorted OYb2Ti2 tetrahedra that share  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra, corners with three equivalent O(7)Yb3Ti trigonal pyramids,  an edgeedge with one O(8)YbTi3 tetrahedra, and  an edgeedge with one O(12)Yb2Ti2 trigonal pyramid. In the twenty-seventh O site, O(27) is bonded to one Yb(1), one Yb(2), one Yb(6), and one Ti(6) atom to form distorted OYb3Ti tetrahedra that share corners with two equivalent O(1)Yb5 square pyramids,  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(24)Yb3Ti tetrahedra,  an edgeedge with one O(3)Yb3TiO trigonal bipyramid,  an edgeedge with one O(9)Yb3TiO trigonal bipyramid, and  an edgeedge with one O(7)Yb3Ti trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Yb10Ti6O27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.343
_cell_length_b   7.447
_cell_length_c   11.823
_cell_angle_alpha   101.065
_cell_angle_beta   90.834
_cell_angle_gamma   119.061
_symmetry_Int_Tables_number   1
_cell_volume   550.272
_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
  Yb  Yb0  1  0.980  0.042  0.049  1.0
  Yb  Yb1  1  0.029  0.569  0.016  1.0
  Yb  Yb2  1  0.692  0.386  0.754  1.0
  Yb  Yb3  1  0.161  0.389  0.774  1.0
  Yb  Yb4  1  0.207  0.918  0.739  1.0
  Yb  Yb5  1  0.532  0.081  0.982  1.0
  Yb  Yb6  1  0.492  0.453  0.471  1.0
  Yb  Yb7  1  0.215  0.488  0.266  1.0
  Yb  Yb8  1  0.708  0.947  0.732  1.0
  Yb  Yb9  1  0.750  0.005  0.288  1.0
  Ti  Ti10  1  0.474  0.502  0.006  1.0
  Ti  Ti11  1  0.024  0.507  0.525  1.0
  Ti  Ti12  1  0.408  0.928  0.490  1.0
  Ti  Ti13  1  0.767  0.410  0.222  1.0
  Ti  Ti14  1  0.035  0.060  0.530  1.0
  Ti  Ti15  1  0.274  0.031  0.243  1.0
  O  O16  1  0.843  0.257  0.859  1.0
  O  O17  1  0.506  0.046  0.651  1.0
  O  O18  1  0.833  0.685  0.917  1.0
  O  O19  1  0.023  0.050  0.683  1.0
  O  O20  1  0.172  0.359  0.570  1.0
  O  O21  1  0.403  0.298  0.862  1.0
  O  O22  1  0.080  0.122  0.246  1.0
  O  O23  1  0.302  0.115  0.463  1.0
  O  O24  1  0.357  0.683  0.930  1.0
  O  O25  1  0.021  0.562  0.700  1.0
  O  O26  1  0.427  0.774  0.828  1.0
  O  O27  1  0.337  0.644  0.457  1.0
  O  O28  1  0.487  0.315  0.277  1.0
  O  O29  1  0.759  0.472  0.574  1.0
  O  O30  1  0.769  0.176  0.135  1.0
  O  O31  1  0.904  0.370  0.365  1.0
  O  O32  1  0.646  0.418  0.073  1.0
  O  O33  1  0.785  0.655  0.366  1.0
  O  O34  1  0.665  0.776  0.100  1.0
  O  O35  1  0.888  0.833  0.850  1.0
  O  O36  1  0.765  0.012  0.495  1.0
  O  O37  1  0.935  0.845  0.365  1.0
  O  O38  1  0.022  0.619  0.202  1.0
  O  O39  1  0.228  0.408  0.067  1.0
  O  O40  1  0.124  0.797  0.541  1.0
  O  O41  1  0.417  0.908  0.316  1.0
  O  O42  1  0.244  0.958  0.083  1.0
[/CIF]
.
The structure described by Yb10Ti6O27 crystallizes in the triclinic P1 space group. There are ten inequivalent Yb sites. In the first Yb site, Yb(1) is bonded in a 7-coordinate geometry to one O(15), one O(19), one O(20), one O(24), one O(27), one O(3), and one O(7) atom. In the second Yb site, Yb(2) is bonded in a 7-coordinate geometry to one O(1), one O(17), one O(23), one O(24), one O(27), one O(3), and one O(9) atom. In the third Yb site, Yb(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(14), one O(2), one O(3), and one O(6) atom. In the fourth Yb site, Yb(4) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(11), one O(4), one O(5), one O(6), and one O(9) atom. In the fifth Yb site, Yb(5) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(20), one O(25), one O(4), and one O(6) atom. In the sixth Yb site, Yb(6) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(15), one O(17), one O(27), one O(6), and one O(9) atom. In the seventh Yb site, Yb(7) is bonded in a 6-coordinate geometry to one O(12), one O(13), one O(14), one O(18), one O(5), and one O(8) atom. In the eighth Yb site, Yb(8) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(16), one O(23), one O(24), one O(26), and one O(7) atom. In the ninth Yb site, Yb(9) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(2), one O(20), and one O(4) atom. In the tenth Yb site, Yb(10) is bonded to one O(15), one O(16), one O(19), one O(21), one O(22), one O(26), and one O(7) atom to form distorted YbO7 pentagonal bipyramids that share  an edgeedge with one Ti(4)O6 octahedra. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(17), one O(19), one O(24), one O(3), one O(6), and one O(9) atom. In the second Ti site, Ti(2) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(14), one O(16), one O(25), and one O(5) atom. In the third Ti site, Ti(3) is bonded in a 6-coordinate geometry to one O(12), one O(2), one O(21), one O(25), one O(26), and one O(8) atom. In the fourth Ti site, Ti(4) is bonded to one O(13), one O(15), one O(16), one O(17), one O(18), and one O(23) atom to form distorted TiO6 octahedra that share  an edgeedge with one Yb(10)O7 pentagonal bipyramid. In the fifth Ti site, Ti(5) is bonded in a 6-coordinate geometry to one O(21), one O(22), one O(25), one O(4), one O(5), and one O(8) atom. In the sixth Ti site, Ti(6) is bonded in a 4-coordinate geometry to one O(13), one O(23), one O(26), one O(27), one O(7), and one O(8) atom. There are twenty-seven inequivalent O sites. In the first O site, O(1) is bonded to one Yb(2), one Yb(3), one Yb(4), one Yb(6), and one Yb(9) atom to form OYb5 square pyramids that share  a cornercorner with one O(5)Yb2Ti2 tetrahedra,  a cornercorner with one O(24)Yb3Ti tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  an edgeedge with one O(10)Yb3Ti tetrahedra,  an edgeedge with one O(2)Yb3Ti tetrahedra,  an edgeedge with one O(4)Yb3Ti tetrahedra,  an edgeedge with one O(3)Yb3TiO trigonal bipyramid, and  an edgeedge with one O(9)Yb3TiO trigonal bipyramid. In the second O site, O(2) is bonded to one Yb(3), one Yb(5), one Yb(9), and one Ti(3) atom to form OYb3Ti tetrahedra that share  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(10)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  a cornercorner with one O(3)Yb3TiO trigonal bipyramid,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid, and  an edgeedge with one O(1)Yb5 square pyramid. In the third O site, O(3) is bonded to one Yb(1), one Yb(2), one Yb(3), one Ti(1), and one O(20) atom to form distorted OYb3TiO trigonal bipyramids that share  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(2)Yb3Ti tetrahedra, corners with three equivalent O(24)Yb3Ti tetrahedra, corners with two equivalent O(9)Yb3TiO trigonal bipyramids,  a cornercorner with one O(7)Yb3Ti trigonal pyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(27)Yb3Ti tetrahedra. In the fourth O site, O(4) is bonded to one Yb(4), one Yb(5), one Yb(9), and one Ti(5) atom to form OYb3Ti tetrahedra that share  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(10)Yb3Ti tetrahedra, corners with two equivalent O(2)Yb3Ti tetrahedra,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the fifth O site, O(5) is bonded to one Yb(4), one Yb(7), one Ti(2), and one Ti(5) atom to form distorted OYb2Ti2 tetrahedra that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  an edgeedge with one O(10)Yb3Ti tetrahedra,  an edgeedge with one O(4)Yb3Ti tetrahedra,  an edgeedge with one O(8)YbTi3 tetrahedra, and  an edgeedge with one O(12)Yb2Ti2 trigonal pyramid. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Yb(3), one Yb(4), one Yb(5), one Yb(6), and one Ti(1) atom. In the seventh O site, O(7) is bonded to one Yb(1), one Yb(10), one Yb(8), and one Ti(6) atom to form OYb3Ti trigonal pyramids that share  a cornercorner with one O(8)YbTi3 tetrahedra, corners with three equivalent O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(3)Yb3TiO trigonal bipyramid,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(24)Yb3Ti tetrahedra, and  an edgeedge with one O(27)Yb3Ti tetrahedra. In the eighth O site, O(8) is bonded to one Yb(7), one Ti(3), one Ti(5), and one Ti(6) atom to form distorted OYbTi3 tetrahedra that share  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra,  a cornercorner with one O(4)Yb3Ti tetrahedra,  a cornercorner with one O(7)Yb3Ti trigonal pyramid, corners with two equivalent O(12)Yb2Ti2 trigonal pyramids,  an edgeedge with one O(26)Yb2Ti2 tetrahedra, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the ninth O site, O(9) is bonded to one Yb(2), one Yb(4), one Yb(6), one Ti(1), and one O(11) atom to form distorted OYb3TiO trigonal bipyramids that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(5)Yb2Ti2 tetrahedra,  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(4)Yb3Ti tetrahedra, corners with two equivalent O(3)Yb3TiO trigonal bipyramids,  an edgeedge with one O(1)Yb5 square pyramid,  an edgeedge with one O(24)Yb3Ti tetrahedra, and  an edgeedge with one O(27)Yb3Ti tetrahedra. In the tenth O site, O(10) is bonded to one Yb(3), one Yb(4), one Yb(5), and one Ti(2) atom to form OYb3Ti tetrahedra that share corners with two equivalent O(2)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  a cornercorner with one O(3)Yb3TiO trigonal bipyramid,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Yb(4), one Yb(5), one Yb(6), one Yb(9), and one O(9) atom. In the twelfth O site, O(12) is bonded to one Yb(7), one Yb(8), one Ti(2), and one Ti(3) atom to form distorted OYb2Ti2 trigonal pyramids that share  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti tetrahedra, corners with two equivalent O(8)YbTi3 tetrahedra,  a cornercorner with one O(7)Yb3Ti trigonal pyramid,  an edgeedge with one O(26)Yb2Ti2 tetrahedra, and  an edgeedge with one O(5)Yb2Ti2 tetrahedra. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Yb(7), one Yb(8), one Ti(4), and one Ti(6) atom. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Yb(3), one Yb(7), and one Ti(2) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Yb(1), one Yb(10), one Yb(6), and one Ti(4) atom. In the sixteenth O site, O(16) is bonded in a distorted rectangular see-saw-like geometry to one Yb(10), one Yb(8), one Ti(2), and one Ti(4) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Yb(2), one Yb(6), one Ti(1), and one Ti(4) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Yb(7), one Ti(4), and one O(22) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Yb(1), one Yb(10), and one Ti(1) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Yb(1), one Yb(5), one Yb(9), and one O(3) atom. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Yb(10), one Ti(3), and one Ti(5) atom. In the twenty-second O site, O(22) is bonded in a 3-coordinate geometry to one Yb(10), one Ti(5), and one O(18) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Yb(2), one Yb(8), one Ti(4), and one Ti(6) atom. In the twenty-fourth O site, O(24) is bonded to one Yb(1), one Yb(2), one Yb(8), and one Ti(1) atom to form distorted OYb3Ti tetrahedra that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(26)Yb2Ti2 tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra, corners with three equivalent O(3)Yb3TiO trigonal bipyramids,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(9)Yb3TiO trigonal bipyramid, and  an edgeedge with one O(7)Yb3Ti trigonal pyramid. In the twenty-fifth O site, O(25) is bonded in a 4-coordinate geometry to one Yb(5), one Ti(2), one Ti(3), and one Ti(5) atom. In the twenty-sixth O site, O(26) is bonded to one Yb(10), one Yb(8), one Ti(3), and one Ti(6) atom to form distorted OYb2Ti2 tetrahedra that share  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra, corners with three equivalent O(7)Yb3Ti trigonal pyramids,  an edgeedge with one O(8)YbTi3 tetrahedra, and  an edgeedge with one O(12)Yb2Ti2 trigonal pyramid. In the twenty-seventh O site, O(27) is bonded to one Yb(1), one Yb(2), one Yb(6), and one Ti(6) atom to form distorted OYb3Ti tetrahedra that share corners with two equivalent O(1)Yb5 square pyramids,  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(24)Yb3Ti tetrahedra,  an edgeedge with one O(3)Yb3TiO trigonal bipyramid,  an edgeedge with one O(9)Yb3TiO trigonal bipyramid, and  an edgeedge with one O(7)Yb3Ti trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Yb10Ti6O27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.343
_cell_length_b   7.447
_cell_length_c   11.823
_cell_angle_alpha   101.065
_cell_angle_beta   90.834
_cell_angle_gamma   119.061
_symmetry_Int_Tables_number   1
_cell_volume   550.272
_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
  Yb  Yb0  1  0.980  0.042  0.049  1.0
  Yb  Yb1  1  0.029  0.569  0.016  1.0
  Yb  Yb2  1  0.692  0.386  0.754  1.0
  Yb  Yb3  1  0.161  0.389  0.774  1.0
  Yb  Yb4  1  0.207  0.918  0.739  1.0
  Yb  Yb5  1  0.532  0.081  0.982  1.0
  Yb  Yb6  1  0.492  0.453  0.471  1.0
  Yb  Yb7  1  0.215  0.488  0.266  1.0
  Yb  Yb8  1  0.708  0.947  0.732  1.0
  Yb  Yb9  1  0.750  0.005  0.288  1.0
  Ti  Ti10  1  0.474  0.502  0.006  1.0
  Ti  Ti11  1  0.024  0.507  0.525  1.0
  Ti  Ti12  1  0.408  0.928  0.490  1.0
  Ti  Ti13  1  0.767  0.410  0.222  1.0
  Ti  Ti14  1  0.035  0.060  0.530  1.0
  Ti  Ti15  1  0.274  0.031  0.243  1.0
  O  O16  1  0.843  0.257  0.859  1.0
  O  O17  1  0.506  0.046  0.651  1.0
  O  O18  1  0.833  0.685  0.917  1.0
  O  O19  1  0.023  0.050  0.683  1.0
  O  O20  1  0.172  0.359  0.570  1.0
  O  O21  1  0.403  0.298  0.862  1.0
  O  O22  1  0.080  0.122  0.246  1.0
  O  O23  1  0.302  0.115  0.463  1.0
  O  O24  1  0.357  0.683  0.930  1.0
  O  O25  1  0.021  0.562  0.700  1.0
  O  O26  1  0.427  0.774  0.828  1.0
  O  O27  1  0.337  0.644  0.457  1.0
  O  O28  1  0.487  0.315  0.277  1.0
  O  O29  1  0.759  0.472  0.574  1.0
  O  O30  1  0.769  0.176  0.135  1.0
  O  O31  1  0.904  0.370  0.365  1.0
  O  O32  1  0.646  0.418  0.073  1.0
  O  O33  1  0.785  0.655  0.366  1.0
  O  O34  1  0.665  0.776  0.100  1.0
  O  O35  1  0.888  0.833  0.850  1.0
  O  O36  1  0.765  0.012  0.495  1.0
  O  O37  1  0.935  0.845  0.365  1.0
  O  O38  1  0.022  0.619  0.202  1.0
  O  O39  1  0.228  0.408  0.067  1.0
  O  O40  1  0.124  0.797  0.541  1.0
  O  O41  1  0.417  0.908  0.316  1.0
  O  O42  1  0.244  0.958  0.083  1.0
[/CIF]
.