The compound 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 8-coordinate geometry to one O(1), one O(15), 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(19), one O(27), 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 8-coordinate geometry to one O(12), one O(15), one O(16), one O(18), one O(23), one O(24), one O(26), and one O(7) atom. In the ninth Yb site, Yb(9) is bonded to one O(1), one O(11), one O(2), one O(20), and one O(4) atom to form distorted YbO5 square pyramids that share  a cornercorner with one O(9)Yb3TiO trigonal bipyramid. In the tenth Yb site, Yb(10) is bonded in a 9-coordinate geometry to one O(13), one O(15), one O(16), one O(18), one O(19), one O(21), one O(22), one O(26), and one O(7) atom. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 4-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 corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 21-33°. 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 to one O(13), one O(23), one O(26), one O(27), one O(7), and one O(8) atom to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 21-33°. 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 distorted OYb5 square pyramids that share  a cornercorner with one O(5)Yb2Ti2 tetrahedra,  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  an edgeedge with one O(10)Yb3Ti tetrahedra,  an edgeedge with one O(2)Yb3Ti tetrahedra,  an edgeedge with one O(4)Yb3Ti tetrahedra, 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 distorted 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(20)Yb3O tetrahedra, corners with two equivalent O(10)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Yb(1), one Yb(2), one Yb(3), one Ti(1), and one O(20) atom. 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,  an edgeedge with one O(5)Yb2Ti2 tetrahedra,  an edgeedge with one O(20)Yb3O tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. 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, corners with two equivalent O(25)YbTi3 trigonal pyramids,  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 4-coordinate geometry to one Yb(3), one Yb(4), one Yb(5), and one Ti(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Yb(1), one Yb(10), one Yb(8), and one Ti(6) atom. 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, corners with two equivalent O(12)Yb2Ti2 trigonal pyramids,  an edgeedge with one O(26)Yb2Ti2 tetrahedra,  an edgeedge with one O(5)Yb2Ti2 tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. 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 Yb(9)O5 square pyramid,  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,  an edgeedge with one O(1)Yb5 square pyramid,  an edgeedge with one O(27)Yb3Ti tetrahedra, and  an edgeedge with one O(24)Yb3Ti trigonal pyramid. 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  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(2)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  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,  an edgeedge with one O(5)Yb2Ti2 tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. 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, corners with two equivalent O(8)YbTi3 tetrahedra,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  an edgeedge with one O(26)Yb2Ti2 tetrahedra,  an edgeedge with one O(5)Yb2Ti2 tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Yb(10), one Yb(7), 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 6-coordinate geometry to one Yb(1), one Yb(10), one Yb(2), one Yb(6), one Yb(8), 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 distorted rectangular see-saw-like 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 5-coordinate geometry to one Yb(10), one Yb(7), one Yb(8), one Ti(4), and one O(22) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Yb(1), one Yb(10), one Yb(6), and one Ti(1) atom. In the twentieth O site, O(20) is bonded to one Yb(1), one Yb(5), one Yb(9), and one O(3) atom to form distorted OYb3O tetrahedra that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra, corners with two equivalent O(2)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  a cornercorner with one O(25)YbTi3 trigonal pyramid, and  an edgeedge with one O(4)Yb3Ti tetrahedra. 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 distorted T-shaped 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 rectangular see-saw-like 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 trigonal pyramids that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid, and  an edgeedge with one O(9)Yb3TiO trigonal bipyramid. In the twenty-fifth O site, O(25) is bonded to one Yb(5), one Ti(2), one Ti(3), and one Ti(5) atom to form distorted OYbTi3 trigonal pyramids that share  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(5)Yb2Ti2 tetrahedra,  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(8)YbTi3 tetrahedra, and  an edgeedge with one O(12)Yb2Ti2 trigonal pyramid. 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 OYb2Ti2 tetrahedra that share  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  a cornercorner with one O(25)YbTi3 trigonal pyramid,  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(20)Yb3O tetrahedra,  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(24)Yb3Ti trigonal pyramids, and  an edgeedge with one O(9)Yb3TiO trigonal bipyramid. is represented by the CIF file [CIF]
data_Yb10Ti6O27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.267
_cell_length_b   7.400
_cell_length_c   11.941
_cell_angle_alpha   101.634
_cell_angle_beta   90.809
_cell_angle_gamma   118.499
_symmetry_Int_Tables_number   1
_cell_volume   548.158
_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  0.022  0.063  0.055  1.0
  Yb  Yb1  1  0.021  0.549  0.022  1.0
  Yb  Yb2  1  0.693  0.379  0.756  1.0
  Yb  Yb3  1  0.162  0.391  0.769  1.0
  Yb  Yb4  1  0.208  0.913  0.741  1.0
  Yb  Yb5  1  0.553  0.038  0.006  1.0
  Yb  Yb6  1  0.475  0.416  0.458  1.0
  Yb  Yb7  1  0.211  0.507  0.269  1.0
  Yb  Yb8  1  0.705  0.938  0.740  1.0
  Yb  Yb9  1  0.755  0.038  0.280  1.0
  Ti  Ti10  1  0.492  0.530  0.006  1.0
  Ti  Ti11  1  0.021  0.506  0.525  1.0
  Ti  Ti12  1  0.408  0.915  0.490  1.0
  Ti  Ti13  1  0.765  0.428  0.219  1.0
  Ti  Ti14  1  0.031  0.048  0.531  1.0
  Ti  Ti15  1  0.252  0.981  0.248  1.0
  O  O16  1  0.845  0.249  0.863  1.0
  O  O17  1  0.505  0.039  0.651  1.0
  O  O18  1  0.865  0.695  0.917  1.0
  O  O19  1  0.018  0.046  0.682  1.0
  O  O20  1  0.168  0.341  0.566  1.0
  O  O21  1  0.419  0.347  0.857  1.0
  O  O22  1  0.101  0.128  0.255  1.0
  O  O23  1  0.277  0.077  0.445  1.0
  O  O24  1  0.321  0.676  0.923  1.0
  O  O25  1  0.016  0.559  0.697  1.0
  O  O26  1  0.416  0.781  0.830  1.0
  O  O27  1  0.335  0.634  0.467  1.0
  O  O28  1  0.521  0.254  0.278  1.0
  O  O29  1  0.746  0.465  0.572  1.0
  O  O30  1  0.849  0.246  0.142  1.0
  O  O31  1  0.915  0.398  0.370  1.0
  O  O32  1  0.645  0.419  0.073  1.0
  O  O33  1  0.673  0.652  0.322  1.0
  O  O34  1  0.671  0.824  0.071  1.0
  O  O35  1  0.916  0.851  0.859  1.0
  O  O36  1  0.761  0.017  0.495  1.0
  O  O37  1  0.858  0.821  0.364  1.0
  O  O38  1  0.031  0.672  0.219  1.0
  O  O39  1  0.253  0.432  0.075  1.0
  O  O40  1  0.116  0.797  0.543  1.0
  O  O41  1  0.424  0.874  0.319  1.0
  O  O42  1  0.252  0.941  0.091  1.0
[/CIF]
.
The compound 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 8-coordinate geometry to one O(1), one O(15), 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(19), one O(27), 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 8-coordinate geometry to one O(12), one O(15), one O(16), one O(18), one O(23), one O(24), one O(26), and one O(7) atom. In the ninth Yb site, Yb(9) is bonded to one O(1), one O(11), one O(2), one O(20), and one O(4) atom to form distorted YbO5 square pyramids that share  a cornercorner with one O(9)Yb3TiO trigonal bipyramid. In the tenth Yb site, Yb(10) is bonded in a 9-coordinate geometry to one O(13), one O(15), one O(16), one O(18), one O(19), one O(21), one O(22), one O(26), and one O(7) atom. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 4-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 corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 21-33°. 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 to one O(13), one O(23), one O(26), one O(27), one O(7), and one O(8) atom to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 21-33°. 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 distorted OYb5 square pyramids that share  a cornercorner with one O(5)Yb2Ti2 tetrahedra,  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra,  a cornercorner with one O(9)Yb3TiO trigonal bipyramid,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  an edgeedge with one O(10)Yb3Ti tetrahedra,  an edgeedge with one O(2)Yb3Ti tetrahedra,  an edgeedge with one O(4)Yb3Ti tetrahedra, 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 distorted 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(20)Yb3O tetrahedra, corners with two equivalent O(10)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid,  an edgeedge with one O(1)Yb5 square pyramid, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Yb(1), one Yb(2), one Yb(3), one Ti(1), and one O(20) atom. 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,  an edgeedge with one O(5)Yb2Ti2 tetrahedra,  an edgeedge with one O(20)Yb3O tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. 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, corners with two equivalent O(25)YbTi3 trigonal pyramids,  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 4-coordinate geometry to one Yb(3), one Yb(4), one Yb(5), and one Ti(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Yb(1), one Yb(10), one Yb(8), and one Ti(6) atom. 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, corners with two equivalent O(12)Yb2Ti2 trigonal pyramids,  an edgeedge with one O(26)Yb2Ti2 tetrahedra,  an edgeedge with one O(5)Yb2Ti2 tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. 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 Yb(9)O5 square pyramid,  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,  an edgeedge with one O(1)Yb5 square pyramid,  an edgeedge with one O(27)Yb3Ti tetrahedra, and  an edgeedge with one O(24)Yb3Ti trigonal pyramid. 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  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(2)Yb3Ti tetrahedra, corners with two equivalent O(4)Yb3Ti tetrahedra,  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,  an edgeedge with one O(5)Yb2Ti2 tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. 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, corners with two equivalent O(8)YbTi3 tetrahedra,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  an edgeedge with one O(26)Yb2Ti2 tetrahedra,  an edgeedge with one O(5)Yb2Ti2 tetrahedra, and  an edgeedge with one O(25)YbTi3 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Yb(10), one Yb(7), 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 6-coordinate geometry to one Yb(1), one Yb(10), one Yb(2), one Yb(6), one Yb(8), 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 distorted rectangular see-saw-like 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 5-coordinate geometry to one Yb(10), one Yb(7), one Yb(8), one Ti(4), and one O(22) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Yb(1), one Yb(10), one Yb(6), and one Ti(1) atom. In the twentieth O site, O(20) is bonded to one Yb(1), one Yb(5), one Yb(9), and one O(3) atom to form distorted OYb3O tetrahedra that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(10)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra, corners with two equivalent O(2)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  a cornercorner with one O(25)YbTi3 trigonal pyramid, and  an edgeedge with one O(4)Yb3Ti tetrahedra. 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 distorted T-shaped 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 rectangular see-saw-like 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 trigonal pyramids that share  a cornercorner with one O(1)Yb5 square pyramid,  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(27)Yb3Ti tetrahedra,  a cornercorner with one O(12)Yb2Ti2 trigonal pyramid, and  an edgeedge with one O(9)Yb3TiO trigonal bipyramid. In the twenty-fifth O site, O(25) is bonded to one Yb(5), one Ti(2), one Ti(3), and one Ti(5) atom to form distorted OYbTi3 trigonal pyramids that share  a cornercorner with one O(26)Yb2Ti2 tetrahedra,  a cornercorner with one O(20)Yb3O tetrahedra, corners with two equivalent O(5)Yb2Ti2 tetrahedra,  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(8)YbTi3 tetrahedra, and  an edgeedge with one O(12)Yb2Ti2 trigonal pyramid. 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 OYb2Ti2 tetrahedra that share  a cornercorner with one O(2)Yb3Ti tetrahedra,  a cornercorner with one O(27)Yb3Ti tetrahedra,  a cornercorner with one O(24)Yb3Ti trigonal pyramid,  a cornercorner with one O(25)YbTi3 trigonal pyramid,  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(20)Yb3O tetrahedra,  a cornercorner with one O(8)YbTi3 tetrahedra, corners with two equivalent O(24)Yb3Ti trigonal pyramids, and  an edgeedge with one O(9)Yb3TiO trigonal bipyramid. is represented by the CIF file [CIF]
data_Yb10Ti6O27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.267
_cell_length_b   7.400
_cell_length_c   11.941
_cell_angle_alpha   101.634
_cell_angle_beta   90.809
_cell_angle_gamma   118.499
_symmetry_Int_Tables_number   1
_cell_volume   548.158
_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  0.022  0.063  0.055  1.0
  Yb  Yb1  1  0.021  0.549  0.022  1.0
  Yb  Yb2  1  0.693  0.379  0.756  1.0
  Yb  Yb3  1  0.162  0.391  0.769  1.0
  Yb  Yb4  1  0.208  0.913  0.741  1.0
  Yb  Yb5  1  0.553  0.038  0.006  1.0
  Yb  Yb6  1  0.475  0.416  0.458  1.0
  Yb  Yb7  1  0.211  0.507  0.269  1.0
  Yb  Yb8  1  0.705  0.938  0.740  1.0
  Yb  Yb9  1  0.755  0.038  0.280  1.0
  Ti  Ti10  1  0.492  0.530  0.006  1.0
  Ti  Ti11  1  0.021  0.506  0.525  1.0
  Ti  Ti12  1  0.408  0.915  0.490  1.0
  Ti  Ti13  1  0.765  0.428  0.219  1.0
  Ti  Ti14  1  0.031  0.048  0.531  1.0
  Ti  Ti15  1  0.252  0.981  0.248  1.0
  O  O16  1  0.845  0.249  0.863  1.0
  O  O17  1  0.505  0.039  0.651  1.0
  O  O18  1  0.865  0.695  0.917  1.0
  O  O19  1  0.018  0.046  0.682  1.0
  O  O20  1  0.168  0.341  0.566  1.0
  O  O21  1  0.419  0.347  0.857  1.0
  O  O22  1  0.101  0.128  0.255  1.0
  O  O23  1  0.277  0.077  0.445  1.0
  O  O24  1  0.321  0.676  0.923  1.0
  O  O25  1  0.016  0.559  0.697  1.0
  O  O26  1  0.416  0.781  0.830  1.0
  O  O27  1  0.335  0.634  0.467  1.0
  O  O28  1  0.521  0.254  0.278  1.0
  O  O29  1  0.746  0.465  0.572  1.0
  O  O30  1  0.849  0.246  0.142  1.0
  O  O31  1  0.915  0.398  0.370  1.0
  O  O32  1  0.645  0.419  0.073  1.0
  O  O33  1  0.673  0.652  0.322  1.0
  O  O34  1  0.671  0.824  0.071  1.0
  O  O35  1  0.916  0.851  0.859  1.0
  O  O36  1  0.761  0.017  0.495  1.0
  O  O37  1  0.858  0.821  0.364  1.0
  O  O38  1  0.031  0.672  0.219  1.0
  O  O39  1  0.253  0.432  0.075  1.0
  O  O40  1  0.116  0.797  0.543  1.0
  O  O41  1  0.424  0.874  0.319  1.0
  O  O42  1  0.252  0.941  0.091  1.0
[/CIF]
.