The crystal structure described by LiTm4Sm4O12 crystallizes in the triclinic P1 space group. Li(1) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(4)O6 octahedra, and  an edgeedge with one Tm(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-61°. There are four inequivalent Tm sites. In the first Tm site, Tm(1) is bonded to one O(1), one O(10), one O(12), one O(3), one O(5), and one O(8) atom to form distorted TmO6 octahedra that share corners with two equivalent Tm(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-45°. In the second Tm site, Tm(2) is bonded to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom to form corner-sharing TmO6 octahedra. The corner-sharing octahedral tilt angles range from 34-47°. In the third Tm site, Tm(3) is bonded in a 6-coordinate geometry to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom. In the fourth Tm site, Tm(4) is bonded to one O(11), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form TmO6 octahedra that share corners with four equivalent Tm(2)O6 octahedra and  a cornercorner with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 34-47°. There are four inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(12), one O(3), one O(4), one O(5), and one O(6) atom. In the second Sm site, Sm(2) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(7), one O(8), and one O(9) atom. In the third Sm site, Sm(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(4), one O(5), one O(6), and one O(9) atom. In the fourth Sm site, Sm(4) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(2), one O(3), one O(7), one O(8), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Tm(1), one Tm(2), one Sm(2), and one Sm(4) atom to form distorted OSm2Tm2 trigonal pyramids that share corners with three equivalent O(9)Sm3Tm2 square pyramids,  a cornercorner with one O(2)Sm2Tm2 trigonal pyramid, corners with two equivalent O(12)Sm2Tm2 trigonal pyramids, corners with two equivalent O(7)Sm2Tm2 trigonal pyramids,  an edgeedge with one O(10)Sm2Tm2 tetrahedra, and  an edgeedge with one O(2)Sm2Tm2 trigonal pyramid. In the second O site, O(2) is bonded to one Tm(2), one Tm(4), one Sm(2), and one Sm(4) atom to form distorted OSm2Tm2 trigonal pyramids that share  a cornercorner with one O(10)Sm2Tm2 tetrahedra,  a cornercorner with one O(1)Sm2Tm2 trigonal pyramid,  a cornercorner with one O(12)Sm2Tm2 trigonal pyramid, corners with three equivalent O(7)Sm2Tm2 trigonal pyramids, edges with two equivalent O(9)Sm3Tm2 square pyramids, and  an edgeedge with one O(1)Sm2Tm2 trigonal pyramid. In the third O site, O(3) is bonded in a 1-coordinate geometry to one Li(1), one Tm(1), one Tm(3), one Sm(1), one Sm(2), and one Sm(4) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Tm(2), one Tm(4), one Sm(1), one Sm(2), and one Sm(3) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(1), one Tm(1), one Tm(3), one Sm(1), and one Sm(3) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Li(1), one Tm(3), one Tm(4), one Sm(1), and one Sm(3) atom. In the seventh O site, O(7) is bonded to one Tm(3), one Tm(4), one Sm(2), and one Sm(4) atom to form distorted OSm2Tm2 trigonal pyramids that share  a cornercorner with one O(9)Sm3Tm2 square pyramid, corners with two equivalent O(1)Sm2Tm2 trigonal pyramids, corners with three equivalent O(2)Sm2Tm2 trigonal pyramids,  an edgeedge with one O(9)Sm3Tm2 square pyramid, and  an edgeedge with one O(10)Sm2Tm2 tetrahedra. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Li(1), one Tm(1), one Tm(3), one Sm(2), and one Sm(4) atom. In the ninth O site, O(9) is bonded to one Tm(2), one Tm(4), one Sm(2), one Sm(3), and one Sm(4) atom to form a mixture of distorted corner and edge-sharing OSm3Tm2 square pyramids. In the tenth O site, O(10) is bonded to one Tm(1), one Tm(3), one Sm(1), and one Sm(4) atom to form OSm2Tm2 tetrahedra that share  a cornercorner with one O(9)Sm3Tm2 square pyramid,  a cornercorner with one O(2)Sm2Tm2 trigonal pyramid, corners with two equivalent O(12)Sm2Tm2 trigonal pyramids,  an edgeedge with one O(1)Sm2Tm2 trigonal pyramid, and  an edgeedge with one O(7)Sm2Tm2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Tm(2), one Tm(4), one Sm(1), and one Sm(3) atom. In the twelfth O site, O(12) is bonded to one Tm(1), one Tm(2), one Sm(1), and one Sm(3) atom to form distorted OSm2Tm2 trigonal pyramids that share corners with two equivalent O(10)Sm2Tm2 tetrahedra,  a cornercorner with one O(2)Sm2Tm2 trigonal pyramid, corners with two equivalent O(1)Sm2Tm2 trigonal pyramids, and  an edgeedge with one O(9)Sm3Tm2 square pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiSm4Tm4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.057
_cell_length_b   8.464
_cell_length_c   5.753
_cell_angle_alpha   87.531
_cell_angle_beta   88.690
_cell_angle_gamma   89.235
_symmetry_Int_Tables_number   1
_cell_volume   294.566
_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
  Li  Li0  1  0.383  0.055  0.361  1.0
  Sm  Sm1  1  0.059  0.234  0.984  1.0
  Sm  Sm2  1  0.428  0.735  0.471  1.0
  Sm  Sm3  1  0.561  0.300  0.497  1.0
  Sm  Sm4  1  0.952  0.760  0.020  1.0
  Tm  Tm5  1  0.960  0.998  0.509  1.0
  Tm  Tm6  1  0.002  0.501  0.504  1.0
  Tm  Tm7  1  0.514  0.001  0.948  1.0
  Tm  Tm8  1  0.504  0.503  0.997  1.0
  O  O9  1  0.055  0.747  0.636  1.0
  O  O10  1  0.209  0.583  0.201  1.0
  O  O11  1  0.196  0.932  0.207  1.0
  O  O12  1  0.314  0.453  0.691  1.0
  O  O13  1  0.296  0.090  0.667  1.0
  O  O14  1  0.428  0.237  0.129  1.0
  O  O15  1  0.564  0.750  0.854  1.0
  O  O16  1  0.660  0.931  0.318  1.0
  O  O17  1  0.698  0.567  0.309  1.0
  O  O18  1  0.867  0.019  0.877  1.0
  O  O19  1  0.809  0.413  0.813  1.0
  O  O20  1  0.937  0.253  0.364  1.0
[/CIF]
.
The crystal structure described by LiTm4Sm4O12 crystallizes in the triclinic P1 space group. Li(1) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(4)O6 octahedra, and  an edgeedge with one Tm(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-61°. There are four inequivalent Tm sites. In the first Tm site, Tm(1) is bonded to one O(1), one O(10), one O(12), one O(3), one O(5), and one O(8) atom to form distorted TmO6 octahedra that share corners with two equivalent Tm(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-45°. In the second Tm site, Tm(2) is bonded to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom to form corner-sharing TmO6 octahedra. The corner-sharing octahedral tilt angles range from 34-47°. In the third Tm site, Tm(3) is bonded in a 6-coordinate geometry to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom. In the fourth Tm site, Tm(4) is bonded to one O(11), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form TmO6 octahedra that share corners with four equivalent Tm(2)O6 octahedra and  a cornercorner with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 34-47°. There are four inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(12), one O(3), one O(4), one O(5), and one O(6) atom. In the second Sm site, Sm(2) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(7), one O(8), and one O(9) atom. In the third Sm site, Sm(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(4), one O(5), one O(6), and one O(9) atom. In the fourth Sm site, Sm(4) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(2), one O(3), one O(7), one O(8), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Tm(1), one Tm(2), one Sm(2), and one Sm(4) atom to form distorted OSm2Tm2 trigonal pyramids that share corners with three equivalent O(9)Sm3Tm2 square pyramids,  a cornercorner with one O(2)Sm2Tm2 trigonal pyramid, corners with two equivalent O(12)Sm2Tm2 trigonal pyramids, corners with two equivalent O(7)Sm2Tm2 trigonal pyramids,  an edgeedge with one O(10)Sm2Tm2 tetrahedra, and  an edgeedge with one O(2)Sm2Tm2 trigonal pyramid. In the second O site, O(2) is bonded to one Tm(2), one Tm(4), one Sm(2), and one Sm(4) atom to form distorted OSm2Tm2 trigonal pyramids that share  a cornercorner with one O(10)Sm2Tm2 tetrahedra,  a cornercorner with one O(1)Sm2Tm2 trigonal pyramid,  a cornercorner with one O(12)Sm2Tm2 trigonal pyramid, corners with three equivalent O(7)Sm2Tm2 trigonal pyramids, edges with two equivalent O(9)Sm3Tm2 square pyramids, and  an edgeedge with one O(1)Sm2Tm2 trigonal pyramid. In the third O site, O(3) is bonded in a 1-coordinate geometry to one Li(1), one Tm(1), one Tm(3), one Sm(1), one Sm(2), and one Sm(4) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Tm(2), one Tm(4), one Sm(1), one Sm(2), and one Sm(3) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(1), one Tm(1), one Tm(3), one Sm(1), and one Sm(3) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Li(1), one Tm(3), one Tm(4), one Sm(1), and one Sm(3) atom. In the seventh O site, O(7) is bonded to one Tm(3), one Tm(4), one Sm(2), and one Sm(4) atom to form distorted OSm2Tm2 trigonal pyramids that share  a cornercorner with one O(9)Sm3Tm2 square pyramid, corners with two equivalent O(1)Sm2Tm2 trigonal pyramids, corners with three equivalent O(2)Sm2Tm2 trigonal pyramids,  an edgeedge with one O(9)Sm3Tm2 square pyramid, and  an edgeedge with one O(10)Sm2Tm2 tetrahedra. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Li(1), one Tm(1), one Tm(3), one Sm(2), and one Sm(4) atom. In the ninth O site, O(9) is bonded to one Tm(2), one Tm(4), one Sm(2), one Sm(3), and one Sm(4) atom to form a mixture of distorted corner and edge-sharing OSm3Tm2 square pyramids. In the tenth O site, O(10) is bonded to one Tm(1), one Tm(3), one Sm(1), and one Sm(4) atom to form OSm2Tm2 tetrahedra that share  a cornercorner with one O(9)Sm3Tm2 square pyramid,  a cornercorner with one O(2)Sm2Tm2 trigonal pyramid, corners with two equivalent O(12)Sm2Tm2 trigonal pyramids,  an edgeedge with one O(1)Sm2Tm2 trigonal pyramid, and  an edgeedge with one O(7)Sm2Tm2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Tm(2), one Tm(4), one Sm(1), and one Sm(3) atom. In the twelfth O site, O(12) is bonded to one Tm(1), one Tm(2), one Sm(1), and one Sm(3) atom to form distorted OSm2Tm2 trigonal pyramids that share corners with two equivalent O(10)Sm2Tm2 tetrahedra,  a cornercorner with one O(2)Sm2Tm2 trigonal pyramid, corners with two equivalent O(1)Sm2Tm2 trigonal pyramids, and  an edgeedge with one O(9)Sm3Tm2 square pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiSm4Tm4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.057
_cell_length_b   8.464
_cell_length_c   5.753
_cell_angle_alpha   87.531
_cell_angle_beta   88.690
_cell_angle_gamma   89.235
_symmetry_Int_Tables_number   1
_cell_volume   294.566
_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
  Li  Li0  1  0.383  0.055  0.361  1.0
  Sm  Sm1  1  0.059  0.234  0.984  1.0
  Sm  Sm2  1  0.428  0.735  0.471  1.0
  Sm  Sm3  1  0.561  0.300  0.497  1.0
  Sm  Sm4  1  0.952  0.760  0.020  1.0
  Tm  Tm5  1  0.960  0.998  0.509  1.0
  Tm  Tm6  1  0.002  0.501  0.504  1.0
  Tm  Tm7  1  0.514  0.001  0.948  1.0
  Tm  Tm8  1  0.504  0.503  0.997  1.0
  O  O9  1  0.055  0.747  0.636  1.0
  O  O10  1  0.209  0.583  0.201  1.0
  O  O11  1  0.196  0.932  0.207  1.0
  O  O12  1  0.314  0.453  0.691  1.0
  O  O13  1  0.296  0.090  0.667  1.0
  O  O14  1  0.428  0.237  0.129  1.0
  O  O15  1  0.564  0.750  0.854  1.0
  O  O16  1  0.660  0.931  0.318  1.0
  O  O17  1  0.698  0.567  0.309  1.0
  O  O18  1  0.867  0.019  0.877  1.0
  O  O19  1  0.809  0.413  0.813  1.0
  O  O20  1  0.937  0.253  0.364  1.0
[/CIF]
.