The compound described by MgTm4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(5), one O(8), and one O(9) atom to form MgO4 tetrahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Tm(4)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra, and  an edgeedge with one Tm(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 34-74°. There are four inequivalent Tm sites. In the first Tm site, Tm(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form TmO6 pentagonal pyramids that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Tm(4)O6 octahedra, edges with two equivalent Tm(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 11-26°. In the second Tm site, Tm(2) is bonded to one O(10), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form TmO6 octahedra that share  a cornercorner with one Tm(4)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Tm(1)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Tm(3)O6 octahedra, edges with two equivalent Tm(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Tm(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 17-27°. In the third Tm site, Tm(3) is bonded to one O(2), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted TmO6 octahedra that share  a cornercorner with one Tm(4)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Tm(1)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra,  an edgeedge with one Tm(4)O6 octahedra, edges with two equivalent Tm(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Tm(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 14-15°. In the fourth Tm site, Tm(4) is bonded to one O(10), one O(2), one O(5), one O(6), one O(7), and one O(9) atom to form distorted TmO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Tm(3)O6 octahedra, edges with two equivalent Tm(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Tm(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 14-27°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) 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 TiO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Tm(2)O6 octahedra, edges with two equivalent Tm(3)O6 octahedra, edges with two equivalent Tm(4)O6 octahedra, and edges with two equivalent Tm(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 15-17°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(4), and one O(9) atom to form TiO4 tetrahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Tm(4)O6 octahedra, corners with two equivalent Tm(1)O6 pentagonal pyramids, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-71°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Mg(1), one Tm(1), and one Ti(2) atom. In the second O site, O(2) is bonded to one Tm(1), one Tm(2), one Tm(3), one Tm(4), and one Ti(1) atom to form OTm4Ti square pyramids that share  a cornercorner with one O(7)Tm4Ti square pyramid,  a cornercorner with one O(10)Tm2Ti2 tetrahedra, corners with two equivalent O(6)Tm3Ti trigonal pyramids, edges with two equivalent O(7)Tm4Ti square pyramids,  an edgeedge with one O(10)Tm2Ti2 tetrahedra,  an edgeedge with one O(6)Tm3Ti trigonal pyramid, and edges with two equivalent O(3)Tm3Ti trigonal pyramids. In the third O site, O(3) is bonded to one Tm(1), one Tm(2), one Tm(3), and one Ti(1) atom to form distorted OTm3Ti trigonal pyramids that share corners with two equivalent O(7)Tm4Ti square pyramids,  a cornercorner with one O(6)Tm3Ti trigonal pyramid,  an edgeedge with one O(7)Tm4Ti square pyramid, edges with two equivalent O(2)Tm4Ti square pyramids,  an edgeedge with one O(10)Tm2Ti2 tetrahedra, and  an edgeedge with one O(6)Tm3Ti trigonal pyramid. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Tm(1), one Tm(3), and one Ti(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(1), one Tm(2), and one Tm(4) atom. In the sixth O site, O(6) is bonded to one Tm(2), one Tm(3), one Tm(4), and one Ti(1) atom to form distorted OTm3Ti trigonal pyramids that share corners with two equivalent O(2)Tm4Ti square pyramids, corners with three equivalent O(10)Tm2Ti2 tetrahedra,  a cornercorner with one O(3)Tm3Ti trigonal pyramid,  an edgeedge with one O(2)Tm4Ti square pyramid, edges with two equivalent O(7)Tm4Ti square pyramids, and  an edgeedge with one O(3)Tm3Ti trigonal pyramid. In the seventh O site, O(7) is bonded to one Tm(1), one Tm(2), one Tm(3), one Tm(4), and one Ti(1) atom to form OTm4Ti square pyramids that share  a cornercorner with one O(2)Tm4Ti square pyramid,  a cornercorner with one O(10)Tm2Ti2 tetrahedra, corners with two equivalent O(3)Tm3Ti trigonal pyramids, edges with two equivalent O(2)Tm4Ti square pyramids,  an edgeedge with one O(10)Tm2Ti2 tetrahedra,  an edgeedge with one O(3)Tm3Ti trigonal pyramid, and edges with two equivalent O(6)Tm3Ti trigonal pyramids. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Tm(1), one Tm(3), and one Ti(1) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mg(1), one Tm(4), and one Ti(2) atom. In the tenth O site, O(10) is bonded to one Tm(2), one Tm(4), one Ti(1), and one Ti(2) atom to form distorted OTm2Ti2 tetrahedra that share  a cornercorner with one O(2)Tm4Ti square pyramid,  a cornercorner with one O(7)Tm4Ti square pyramid, corners with three equivalent O(6)Tm3Ti trigonal pyramids,  an edgeedge with one O(2)Tm4Ti square pyramid,  an edgeedge with one O(7)Tm4Ti square pyramid, and  an edgeedge with one O(3)Tm3Ti trigonal pyramid. is represented by the CIF file [CIF]
data_Tm4MgTi2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.493
_cell_length_b   5.736
_cell_length_c   8.484
_cell_angle_alpha   71.569
_cell_angle_beta   100.997
_cell_angle_gamma   78.444
_symmetry_Int_Tables_number   1
_cell_volume   238.989
_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
  Tm  Tm0  1  0.669  0.782  0.716  1.0
  Tm  Tm1  1  0.724  0.585  0.374  1.0
  Tm  Tm2  1  0.336  0.382  0.625  1.0
  Tm  Tm3  1  0.383  0.209  0.267  1.0
  Mg  Mg4  1  0.351  0.871  0.970  1.0
  Ti  Ti5  1  0.031  0.987  0.499  1.0
  Ti  Ti6  1  0.823  0.119  0.030  1.0
  O  O7  1  0.725  0.881  0.949  1.0
  O  O8  1  0.407  0.775  0.477  1.0
  O  O9  1  0.971  0.632  0.609  1.0
  O  O10  1  0.600  0.416  0.843  1.0
  O  O11  1  0.452  0.563  0.169  1.0
  O  O12  1  0.089  0.342  0.385  1.0
  O  O13  1  0.656  0.192  0.525  1.0
  O  O14  1  0.260  0.994  0.715  1.0
  O  O15  1  0.164  0.135  0.049  1.0
  O  O16  1  0.783  0.988  0.264  1.0
[/CIF]
.
The compound described by MgTm4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(5), one O(8), and one O(9) atom to form MgO4 tetrahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Tm(4)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra, and  an edgeedge with one Tm(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 34-74°. There are four inequivalent Tm sites. In the first Tm site, Tm(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form TmO6 pentagonal pyramids that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Tm(4)O6 octahedra, edges with two equivalent Tm(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 11-26°. In the second Tm site, Tm(2) is bonded to one O(10), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form TmO6 octahedra that share  a cornercorner with one Tm(4)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Tm(1)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Tm(3)O6 octahedra, edges with two equivalent Tm(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Tm(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 17-27°. In the third Tm site, Tm(3) is bonded to one O(2), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted TmO6 octahedra that share  a cornercorner with one Tm(4)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Tm(1)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra,  an edgeedge with one Tm(4)O6 octahedra, edges with two equivalent Tm(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Tm(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 14-15°. In the fourth Tm site, Tm(4) is bonded to one O(10), one O(2), one O(5), one O(6), one O(7), and one O(9) atom to form distorted TmO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Tm(3)O6 octahedra, edges with two equivalent Tm(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Tm(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 14-27°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) 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 TiO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Tm(2)O6 octahedra, edges with two equivalent Tm(3)O6 octahedra, edges with two equivalent Tm(4)O6 octahedra, and edges with two equivalent Tm(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 15-17°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(4), and one O(9) atom to form TiO4 tetrahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Tm(4)O6 octahedra, corners with two equivalent Tm(1)O6 pentagonal pyramids, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-71°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Mg(1), one Tm(1), and one Ti(2) atom. In the second O site, O(2) is bonded to one Tm(1), one Tm(2), one Tm(3), one Tm(4), and one Ti(1) atom to form OTm4Ti square pyramids that share  a cornercorner with one O(7)Tm4Ti square pyramid,  a cornercorner with one O(10)Tm2Ti2 tetrahedra, corners with two equivalent O(6)Tm3Ti trigonal pyramids, edges with two equivalent O(7)Tm4Ti square pyramids,  an edgeedge with one O(10)Tm2Ti2 tetrahedra,  an edgeedge with one O(6)Tm3Ti trigonal pyramid, and edges with two equivalent O(3)Tm3Ti trigonal pyramids. In the third O site, O(3) is bonded to one Tm(1), one Tm(2), one Tm(3), and one Ti(1) atom to form distorted OTm3Ti trigonal pyramids that share corners with two equivalent O(7)Tm4Ti square pyramids,  a cornercorner with one O(6)Tm3Ti trigonal pyramid,  an edgeedge with one O(7)Tm4Ti square pyramid, edges with two equivalent O(2)Tm4Ti square pyramids,  an edgeedge with one O(10)Tm2Ti2 tetrahedra, and  an edgeedge with one O(6)Tm3Ti trigonal pyramid. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Tm(1), one Tm(3), and one Ti(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(1), one Tm(2), and one Tm(4) atom. In the sixth O site, O(6) is bonded to one Tm(2), one Tm(3), one Tm(4), and one Ti(1) atom to form distorted OTm3Ti trigonal pyramids that share corners with two equivalent O(2)Tm4Ti square pyramids, corners with three equivalent O(10)Tm2Ti2 tetrahedra,  a cornercorner with one O(3)Tm3Ti trigonal pyramid,  an edgeedge with one O(2)Tm4Ti square pyramid, edges with two equivalent O(7)Tm4Ti square pyramids, and  an edgeedge with one O(3)Tm3Ti trigonal pyramid. In the seventh O site, O(7) is bonded to one Tm(1), one Tm(2), one Tm(3), one Tm(4), and one Ti(1) atom to form OTm4Ti square pyramids that share  a cornercorner with one O(2)Tm4Ti square pyramid,  a cornercorner with one O(10)Tm2Ti2 tetrahedra, corners with two equivalent O(3)Tm3Ti trigonal pyramids, edges with two equivalent O(2)Tm4Ti square pyramids,  an edgeedge with one O(10)Tm2Ti2 tetrahedra,  an edgeedge with one O(3)Tm3Ti trigonal pyramid, and edges with two equivalent O(6)Tm3Ti trigonal pyramids. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Tm(1), one Tm(3), and one Ti(1) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mg(1), one Tm(4), and one Ti(2) atom. In the tenth O site, O(10) is bonded to one Tm(2), one Tm(4), one Ti(1), and one Ti(2) atom to form distorted OTm2Ti2 tetrahedra that share  a cornercorner with one O(2)Tm4Ti square pyramid,  a cornercorner with one O(7)Tm4Ti square pyramid, corners with three equivalent O(6)Tm3Ti trigonal pyramids,  an edgeedge with one O(2)Tm4Ti square pyramid,  an edgeedge with one O(7)Tm4Ti square pyramid, and  an edgeedge with one O(3)Tm3Ti trigonal pyramid. is represented by the CIF file [CIF]
data_Tm4MgTi2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.493
_cell_length_b   5.736
_cell_length_c   8.484
_cell_angle_alpha   71.569
_cell_angle_beta   100.997
_cell_angle_gamma   78.444
_symmetry_Int_Tables_number   1
_cell_volume   238.989
_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
  Tm  Tm0  1  0.669  0.782  0.716  1.0
  Tm  Tm1  1  0.724  0.585  0.374  1.0
  Tm  Tm2  1  0.336  0.382  0.625  1.0
  Tm  Tm3  1  0.383  0.209  0.267  1.0
  Mg  Mg4  1  0.351  0.871  0.970  1.0
  Ti  Ti5  1  0.031  0.987  0.499  1.0
  Ti  Ti6  1  0.823  0.119  0.030  1.0
  O  O7  1  0.725  0.881  0.949  1.0
  O  O8  1  0.407  0.775  0.477  1.0
  O  O9  1  0.971  0.632  0.609  1.0
  O  O10  1  0.600  0.416  0.843  1.0
  O  O11  1  0.452  0.563  0.169  1.0
  O  O12  1  0.089  0.342  0.385  1.0
  O  O13  1  0.656  0.192  0.525  1.0
  O  O14  1  0.260  0.994  0.715  1.0
  O  O15  1  0.164  0.135  0.049  1.0
  O  O16  1  0.783  0.988  0.264  1.0
[/CIF]
.