The material structure described by MgEr4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(2), one O(4), and one O(8) atom to form MgO4 tetrahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Er(1)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra, and  an edgeedge with one Er(4)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 33-75°. There are four inequivalent Er sites. In the first Er site, Er(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form distorted ErO6 octahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Er(3)O6 octahedra, edges with two equivalent Er(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Er(4)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 13-28°. In the second Er site, Er(2) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(9) atom to form ErO6 octahedra that share  a cornercorner with one Er(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Er(4)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Er(1)O6 octahedra, edges with two equivalent Er(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Er(4)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 17-28°. In the third Er site, Er(3) is bonded to one O(1), one O(10), one O(3), one O(5), one O(7), and one O(9) atom to form distorted ErO6 octahedra that share  a cornercorner with one Er(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Er(4)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra,  an edgeedge with one Er(1)O6 octahedra, edges with two equivalent Er(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Er(4)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 13-16°. In the fourth Er site, Er(4) is bonded to one O(10), one O(3), one O(5), one O(7), one O(8), and one O(9) atom to form distorted ErO6 pentagonal pyramids that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Er(1)O6 octahedra,  an edgeedge with one Er(2)O6 octahedra, edges with two equivalent Er(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 11-27°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(10), one O(3), one O(6), one O(7), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Er(1)O6 octahedra, edges with two equivalent Er(2)O6 octahedra, edges with two equivalent Er(3)O6 octahedra, and edges with two equivalent Er(4)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 16-17°. In the second Ti site, Ti(2) is bonded to one O(2), one O(5), one O(6), and one O(8) atom to form TiO4 tetrahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Er(1)O6 octahedra, corners with two equivalent Er(4)O6 pentagonal pyramids, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-73°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Er(1), one Er(2), one Er(3), and one Ti(1) atom to form distorted OEr3Ti trigonal pyramids that share corners with two equivalent O(7)Er4Ti square pyramids, corners with three equivalent O(6)Er2Ti2 tetrahedra,  a cornercorner with one O(9)Er3Ti trigonal pyramid,  an edgeedge with one O(7)Er4Ti square pyramid, edges with two equivalent O(3)Er4Ti square pyramids, and  an edgeedge with one O(9)Er3Ti trigonal pyramid. In the second O site, O(2) is bonded in a trigonal planar geometry to one Mg(1), one Er(1), and one Ti(2) atom. In the third O site, O(3) is bonded to one Er(1), one Er(2), one Er(3), one Er(4), and one Ti(1) atom to form OEr4Ti square pyramids that share  a cornercorner with one O(7)Er4Ti square pyramid,  a cornercorner with one O(6)Er2Ti2 tetrahedra, corners with two equivalent O(9)Er3Ti trigonal pyramids, edges with two equivalent O(7)Er4Ti square pyramids,  an edgeedge with one O(6)Er2Ti2 tetrahedra,  an edgeedge with one O(9)Er3Ti trigonal pyramid, and edges with two equivalent O(1)Er3Ti trigonal pyramids. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one Er(1), and one Er(2) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Er(3), one Er(4), and one Ti(2) atom. In the sixth O site, O(6) is bonded to one Er(1), one Er(2), one Ti(1), and one Ti(2) atom to form distorted OEr2Ti2 tetrahedra that share  a cornercorner with one O(3)Er4Ti square pyramid,  a cornercorner with one O(7)Er4Ti square pyramid, corners with three equivalent O(1)Er3Ti trigonal pyramids,  an edgeedge with one O(3)Er4Ti square pyramid,  an edgeedge with one O(7)Er4Ti square pyramid, and  an edgeedge with one O(9)Er3Ti trigonal pyramid. In the seventh O site, O(7) is bonded to one Er(1), one Er(2), one Er(3), one Er(4), and one Ti(1) atom to form OEr4Ti square pyramids that share  a cornercorner with one O(3)Er4Ti square pyramid,  a cornercorner with one O(6)Er2Ti2 tetrahedra, corners with two equivalent O(1)Er3Ti trigonal pyramids, edges with two equivalent O(3)Er4Ti square pyramids,  an edgeedge with one O(6)Er2Ti2 tetrahedra,  an edgeedge with one O(1)Er3Ti trigonal pyramid, and edges with two equivalent O(9)Er3Ti trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Er(4), and one Ti(2) atom. In the ninth O site, O(9) is bonded to one Er(2), one Er(3), one Er(4), and one Ti(1) atom to form distorted OEr3Ti trigonal pyramids that share corners with two equivalent O(3)Er4Ti square pyramids,  a cornercorner with one O(1)Er3Ti trigonal pyramid,  an edgeedge with one O(3)Er4Ti square pyramid, edges with two equivalent O(7)Er4Ti square pyramids,  an edgeedge with one O(6)Er2Ti2 tetrahedra, and  an edgeedge with one O(1)Er3Ti trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Er(3), one Er(4), and one Ti(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Er4MgTi2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.504
_cell_length_b   5.788
_cell_length_c   8.507
_cell_angle_alpha   71.522
_cell_angle_beta   100.810
_cell_angle_gamma   78.209
_symmetry_Int_Tables_number   1
_cell_volume   242.176
_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
  Er  Er0  1  0.616  0.789  0.734  1.0
  Er  Er1  1  0.275  0.414  0.627  1.0
  Er  Er2  1  0.661  0.624  0.371  1.0
  Er  Er3  1  0.329  0.220  0.282  1.0
  Mg  Mg4  1  0.652  0.127  0.030  1.0
  Ti  Ti5  1  0.967  0.015  0.500  1.0
  Ti  Ti6  1  0.177  0.880  0.969  1.0
  O  O7  1  0.909  0.663  0.613  1.0
  O  O8  1  0.836  0.862  0.952  1.0
  O  O9  1  0.341  0.809  0.475  1.0
  O  O10  1  0.551  0.434  0.831  1.0
  O  O11  1  0.398  0.583  0.155  1.0
  O  O12  1  0.211  0.014  0.734  1.0
  O  O13  1  0.593  0.227  0.521  1.0
  O  O14  1  0.284  0.112  0.052  1.0
  O  O15  1  0.027  0.367  0.391  1.0
  O  O16  1  0.744  0.008  0.285  1.0
[/CIF]
.
The material structure described by MgEr4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(2), one O(4), and one O(8) atom to form MgO4 tetrahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Er(1)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra, and  an edgeedge with one Er(4)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 33-75°. There are four inequivalent Er sites. In the first Er site, Er(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form distorted ErO6 octahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Er(3)O6 octahedra, edges with two equivalent Er(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Er(4)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 13-28°. In the second Er site, Er(2) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(9) atom to form ErO6 octahedra that share  a cornercorner with one Er(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Er(4)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Er(1)O6 octahedra, edges with two equivalent Er(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  an edgeedge with one Er(4)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 17-28°. In the third Er site, Er(3) is bonded to one O(1), one O(10), one O(3), one O(5), one O(7), and one O(9) atom to form distorted ErO6 octahedra that share  a cornercorner with one Er(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Er(4)O6 pentagonal pyramid,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra,  an edgeedge with one Er(1)O6 octahedra, edges with two equivalent Er(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Er(4)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 13-16°. In the fourth Er site, Er(4) is bonded to one O(10), one O(3), one O(5), one O(7), one O(8), and one O(9) atom to form distorted ErO6 pentagonal pyramids that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Er(1)O6 octahedra,  an edgeedge with one Er(2)O6 octahedra, edges with two equivalent Er(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 11-27°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(10), one O(3), one O(6), one O(7), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra, edges with two equivalent Er(1)O6 octahedra, edges with two equivalent Er(2)O6 octahedra, edges with two equivalent Er(3)O6 octahedra, and edges with two equivalent Er(4)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 16-17°. In the second Ti site, Ti(2) is bonded to one O(2), one O(5), one O(6), and one O(8) atom to form TiO4 tetrahedra that share  a cornercorner with one Er(2)O6 octahedra,  a cornercorner with one Er(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Er(1)O6 octahedra, corners with two equivalent Er(4)O6 pentagonal pyramids, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-73°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Er(1), one Er(2), one Er(3), and one Ti(1) atom to form distorted OEr3Ti trigonal pyramids that share corners with two equivalent O(7)Er4Ti square pyramids, corners with three equivalent O(6)Er2Ti2 tetrahedra,  a cornercorner with one O(9)Er3Ti trigonal pyramid,  an edgeedge with one O(7)Er4Ti square pyramid, edges with two equivalent O(3)Er4Ti square pyramids, and  an edgeedge with one O(9)Er3Ti trigonal pyramid. In the second O site, O(2) is bonded in a trigonal planar geometry to one Mg(1), one Er(1), and one Ti(2) atom. In the third O site, O(3) is bonded to one Er(1), one Er(2), one Er(3), one Er(4), and one Ti(1) atom to form OEr4Ti square pyramids that share  a cornercorner with one O(7)Er4Ti square pyramid,  a cornercorner with one O(6)Er2Ti2 tetrahedra, corners with two equivalent O(9)Er3Ti trigonal pyramids, edges with two equivalent O(7)Er4Ti square pyramids,  an edgeedge with one O(6)Er2Ti2 tetrahedra,  an edgeedge with one O(9)Er3Ti trigonal pyramid, and edges with two equivalent O(1)Er3Ti trigonal pyramids. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one Er(1), and one Er(2) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Er(3), one Er(4), and one Ti(2) atom. In the sixth O site, O(6) is bonded to one Er(1), one Er(2), one Ti(1), and one Ti(2) atom to form distorted OEr2Ti2 tetrahedra that share  a cornercorner with one O(3)Er4Ti square pyramid,  a cornercorner with one O(7)Er4Ti square pyramid, corners with three equivalent O(1)Er3Ti trigonal pyramids,  an edgeedge with one O(3)Er4Ti square pyramid,  an edgeedge with one O(7)Er4Ti square pyramid, and  an edgeedge with one O(9)Er3Ti trigonal pyramid. In the seventh O site, O(7) is bonded to one Er(1), one Er(2), one Er(3), one Er(4), and one Ti(1) atom to form OEr4Ti square pyramids that share  a cornercorner with one O(3)Er4Ti square pyramid,  a cornercorner with one O(6)Er2Ti2 tetrahedra, corners with two equivalent O(1)Er3Ti trigonal pyramids, edges with two equivalent O(3)Er4Ti square pyramids,  an edgeedge with one O(6)Er2Ti2 tetrahedra,  an edgeedge with one O(1)Er3Ti trigonal pyramid, and edges with two equivalent O(9)Er3Ti trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Er(4), and one Ti(2) atom. In the ninth O site, O(9) is bonded to one Er(2), one Er(3), one Er(4), and one Ti(1) atom to form distorted OEr3Ti trigonal pyramids that share corners with two equivalent O(3)Er4Ti square pyramids,  a cornercorner with one O(1)Er3Ti trigonal pyramid,  an edgeedge with one O(3)Er4Ti square pyramid, edges with two equivalent O(7)Er4Ti square pyramids,  an edgeedge with one O(6)Er2Ti2 tetrahedra, and  an edgeedge with one O(1)Er3Ti trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Er(3), one Er(4), and one Ti(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Er4MgTi2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.504
_cell_length_b   5.788
_cell_length_c   8.507
_cell_angle_alpha   71.522
_cell_angle_beta   100.810
_cell_angle_gamma   78.209
_symmetry_Int_Tables_number   1
_cell_volume   242.176
_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
  Er  Er0  1  0.616  0.789  0.734  1.0
  Er  Er1  1  0.275  0.414  0.627  1.0
  Er  Er2  1  0.661  0.624  0.371  1.0
  Er  Er3  1  0.329  0.220  0.282  1.0
  Mg  Mg4  1  0.652  0.127  0.030  1.0
  Ti  Ti5  1  0.967  0.015  0.500  1.0
  Ti  Ti6  1  0.177  0.880  0.969  1.0
  O  O7  1  0.909  0.663  0.613  1.0
  O  O8  1  0.836  0.862  0.952  1.0
  O  O9  1  0.341  0.809  0.475  1.0
  O  O10  1  0.551  0.434  0.831  1.0
  O  O11  1  0.398  0.583  0.155  1.0
  O  O12  1  0.211  0.014  0.734  1.0
  O  O13  1  0.593  0.227  0.521  1.0
  O  O14  1  0.284  0.112  0.052  1.0
  O  O15  1  0.027  0.367  0.391  1.0
  O  O16  1  0.744  0.008  0.285  1.0
[/CIF]
.