The material described by MgTm4Sm4O12 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in an octahedral geometry to one O(4), one O(8), two equivalent O(3), and two equivalent O(7) atoms. There are two inequivalent Tm sites. In the first Tm site, Tm(1) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(6), one O(7), and one O(8) atom. In the second Tm site, Tm(2) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(7) atom. There are four inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 6-coordinate geometry to one O(4), one O(8), two equivalent O(2), and two equivalent O(7) atoms. In the second Sm site, Sm(2) is bonded in a 8-coordinate geometry to one O(1), one O(5), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms. In the third Sm site, Sm(3) is bonded in a 4-coordinate geometry to one O(4), one O(8), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms. In the fourth Sm site, Sm(4) is bonded in a 8-coordinate geometry to one O(1), one O(5), two equivalent O(2), two equivalent O(6), and two equivalent O(7) atoms. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Tm(1), one Sm(2), and one Sm(4) atom. In the second O site, O(2) is bonded to one Tm(1), one Tm(2), one Sm(1), one Sm(2), one Sm(3), and one Sm(4) atom to form distorted OSm4Tm2 octahedra that share  a cornercorner with one O(8)Sm2Tm2Mg trigonal bipyramid, edges with two equivalent O(2)Sm4Tm2 octahedra,  an edgeedge with one O(8)Sm2Tm2Mg trigonal bipyramid, and  a faceface with one O(4)Sm2Tm2Mg square pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Mg(1), one Tm(1), one Tm(2), one Sm(2), and one Sm(3) atom. In the fourth O site, O(4) is bonded to one Mg(1), two equivalent Tm(2), one Sm(1), and one Sm(3) atom to form distorted OSm2Tm2Mg square pyramids that share corners with three equivalent O(8)Sm2Tm2Mg trigonal bipyramids and faces with two equivalent O(2)Sm4Tm2 octahedra. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to two equivalent Tm(2), one Sm(2), and one Sm(4) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Tm(1), one Tm(2), one Sm(2), one Sm(3), and one Sm(4) atom. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one Mg(1), one Tm(1), one Tm(2), one Sm(1), and one Sm(4) atom. In the eighth O site, O(8) is bonded to one Mg(1), two equivalent Tm(1), one Sm(1), and one Sm(3) atom to form OSm2Tm2Mg trigonal bipyramids that share corners with two equivalent O(2)Sm4Tm2 octahedra, corners with three equivalent O(4)Sm2Tm2Mg square pyramids, and edges with two equivalent O(2)Sm4Tm2 octahedra. The corner-sharing octahedral tilt angles are 50°. is represented by the CIF card [CIF]
data_Sm4Tm4MgO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.757
_cell_length_b   7.876
_cell_length_c   6.265
_cell_angle_alpha   90.000
_cell_angle_beta   89.206
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   284.001
_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
  Sm  Sm0  1  0.005  0.250  0.102  1.0
  Sm  Sm1  1  0.443  0.750  0.446  1.0
  Sm  Sm2  1  0.467  0.250  0.376  1.0
  Sm  Sm3  1  0.951  0.750  0.061  1.0
  Tm  Tm4  1  0.973  0.983  0.554  1.0
  Tm  Tm5  1  0.973  0.517  0.554  1.0
  Tm  Tm6  1  0.467  0.956  0.962  1.0
  Tm  Tm7  1  0.467  0.544  0.962  1.0
  Mg  Mg8  1  0.627  0.250  0.770  1.0
  O  O9  1  0.128  0.750  0.707  1.0
  O  O10  1  0.186  0.517  0.238  1.0
  O  O11  1  0.186  0.983  0.238  1.0
  O  O12  1  0.369  0.436  0.645  1.0
  O  O13  1  0.369  0.064  0.645  1.0
  O  O14  1  0.414  0.250  0.026  1.0
  O  O15  1  0.646  0.750  0.775  1.0
  O  O16  1  0.700  0.945  0.286  1.0
  O  O17  1  0.700  0.555  0.286  1.0
  O  O18  1  0.834  0.063  0.873  1.0
  O  O19  1  0.834  0.437  0.873  1.0
  O  O20  1  0.854  0.250  0.474  1.0
[/CIF]
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The material described by MgTm4Sm4O12 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in an octahedral geometry to one O(4), one O(8), two equivalent O(3), and two equivalent O(7) atoms. There are two inequivalent Tm sites. In the first Tm site, Tm(1) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(6), one O(7), and one O(8) atom. In the second Tm site, Tm(2) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(7) atom. There are four inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 6-coordinate geometry to one O(4), one O(8), two equivalent O(2), and two equivalent O(7) atoms. In the second Sm site, Sm(2) is bonded in a 8-coordinate geometry to one O(1), one O(5), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms. In the third Sm site, Sm(3) is bonded in a 4-coordinate geometry to one O(4), one O(8), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms. In the fourth Sm site, Sm(4) is bonded in a 8-coordinate geometry to one O(1), one O(5), two equivalent O(2), two equivalent O(6), and two equivalent O(7) atoms. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Tm(1), one Sm(2), and one Sm(4) atom. In the second O site, O(2) is bonded to one Tm(1), one Tm(2), one Sm(1), one Sm(2), one Sm(3), and one Sm(4) atom to form distorted OSm4Tm2 octahedra that share  a cornercorner with one O(8)Sm2Tm2Mg trigonal bipyramid, edges with two equivalent O(2)Sm4Tm2 octahedra,  an edgeedge with one O(8)Sm2Tm2Mg trigonal bipyramid, and  a faceface with one O(4)Sm2Tm2Mg square pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Mg(1), one Tm(1), one Tm(2), one Sm(2), and one Sm(3) atom. In the fourth O site, O(4) is bonded to one Mg(1), two equivalent Tm(2), one Sm(1), and one Sm(3) atom to form distorted OSm2Tm2Mg square pyramids that share corners with three equivalent O(8)Sm2Tm2Mg trigonal bipyramids and faces with two equivalent O(2)Sm4Tm2 octahedra. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to two equivalent Tm(2), one Sm(2), and one Sm(4) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Tm(1), one Tm(2), one Sm(2), one Sm(3), and one Sm(4) atom. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one Mg(1), one Tm(1), one Tm(2), one Sm(1), and one Sm(4) atom. In the eighth O site, O(8) is bonded to one Mg(1), two equivalent Tm(1), one Sm(1), and one Sm(3) atom to form OSm2Tm2Mg trigonal bipyramids that share corners with two equivalent O(2)Sm4Tm2 octahedra, corners with three equivalent O(4)Sm2Tm2Mg square pyramids, and edges with two equivalent O(2)Sm4Tm2 octahedra. The corner-sharing octahedral tilt angles are 50°. is represented by the CIF card [CIF]
data_Sm4Tm4MgO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.757
_cell_length_b   7.876
_cell_length_c   6.265
_cell_angle_alpha   90.000
_cell_angle_beta   89.206
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   284.001
_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
  Sm  Sm0  1  0.005  0.250  0.102  1.0
  Sm  Sm1  1  0.443  0.750  0.446  1.0
  Sm  Sm2  1  0.467  0.250  0.376  1.0
  Sm  Sm3  1  0.951  0.750  0.061  1.0
  Tm  Tm4  1  0.973  0.983  0.554  1.0
  Tm  Tm5  1  0.973  0.517  0.554  1.0
  Tm  Tm6  1  0.467  0.956  0.962  1.0
  Tm  Tm7  1  0.467  0.544  0.962  1.0
  Mg  Mg8  1  0.627  0.250  0.770  1.0
  O  O9  1  0.128  0.750  0.707  1.0
  O  O10  1  0.186  0.517  0.238  1.0
  O  O11  1  0.186  0.983  0.238  1.0
  O  O12  1  0.369  0.436  0.645  1.0
  O  O13  1  0.369  0.064  0.645  1.0
  O  O14  1  0.414  0.250  0.026  1.0
  O  O15  1  0.646  0.750  0.775  1.0
  O  O16  1  0.700  0.945  0.286  1.0
  O  O17  1  0.700  0.555  0.286  1.0
  O  O18  1  0.834  0.063  0.873  1.0
  O  O19  1  0.834  0.437  0.873  1.0
  O  O20  1  0.854  0.250  0.474  1.0
[/CIF]
.