The compound described by MgSm8Ti4O20 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(13), one O(16), one O(6), and two equivalent O(10) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Ti(4)O5 trigonal bipyramid, corners with two equivalent Mg(1)O5 trigonal bipyramids, edges with two equivalent Sm(2)O6 pentagonal pyramids, and  an edgeedge with one Ti(2)O5 trigonal bipyramid. There are eight inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(17), one O(8), one O(9), two equivalent O(1), and two equivalent O(4) atoms. In the second Sm site, Sm(2) is bonded to one O(10), one O(20), two equivalent O(3), and two equivalent O(6) atoms to form distorted SmO6 pentagonal pyramids that share corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with two equivalent Ti(4)O5 trigonal bipyramids, edges with two equivalent Sm(2)O6 pentagonal pyramids, and edges with two equivalent Mg(1)O5 trigonal bipyramids. In the third Sm site, Sm(3) is bonded to one O(1), one O(11), two equivalent O(5), and two equivalent O(8) atoms to form distorted SmO6 octahedra that share corners with two equivalent Sm(7)O6 octahedra, corners with two equivalent Ti(1)O5 trigonal bipyramids, corners with two equivalent Ti(3)O5 trigonal bipyramids, and edges with two equivalent Sm(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 65-68°. In the fourth Sm site, Sm(4) is bonded in a 7-coordinate geometry to one O(14), one O(2), one O(3), two equivalent O(10), and two equivalent O(7) atoms. In the fifth Sm site, Sm(5) is bonded in a 7-coordinate geometry to one O(18), one O(19), one O(7), two equivalent O(11), and two equivalent O(14) atoms. In the sixth Sm site, Sm(6) is bonded in a 6-coordinate geometry to one O(10), one O(20), two equivalent O(13), and two equivalent O(16) atoms. In the seventh Sm site, Sm(7) is bonded to one O(1), one O(11), two equivalent O(15), and two equivalent O(18) atoms to form SmO6 octahedra that share corners with two equivalent Sm(3)O6 octahedra, corners with two equivalent Ti(1)O5 trigonal bipyramids, corners with two equivalent Ti(3)O5 trigonal bipyramids, and edges with two equivalent Sm(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 65-68°. In the eighth Sm site, Sm(8) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(4), two equivalent O(17), and two equivalent O(20) atoms. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(18), one O(5), one O(7), and two equivalent O(2) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(3)O6 octahedra, corners with two equivalent Sm(7)O6 octahedra, and corners with two equivalent Ti(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 51-66°. In the second Ti site, Ti(2) is bonded to one O(13), one O(4), one O(6), and two equivalent O(9) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(2)O6 pentagonal pyramids, corners with two equivalent Ti(2)O5 trigonal bipyramids, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the third Ti site, Ti(3) is bonded to one O(15), one O(17), one O(8), and two equivalent O(12) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(3)O6 octahedra, corners with two equivalent Sm(7)O6 octahedra, and corners with two equivalent Ti(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 52-67°. In the fourth Ti site, Ti(4) is bonded to one O(14), one O(16), one O(3), and two equivalent O(19) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(2)O6 pentagonal pyramids,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and corners with two equivalent Ti(4)O5 trigonal bipyramids. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Sm(3), one Sm(7), and two equivalent Sm(1) atoms to form OSm4 tetrahedra that share corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra,  an edgeedge with one O(4)Sm3Ti tetrahedra, and edges with two equivalent O(8)Sm3Ti tetrahedra. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Sm(4) and two equivalent Ti(1) atoms. In the third O site, O(3) is bonded to one Sm(4), two equivalent Sm(2), and one Ti(4) atom to form OSm3Ti tetrahedra that share  a cornercorner with one O(16)Sm2MgTi tetrahedra, corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(6)Sm2MgTi trigonal pyramids, and  an edgeedge with one O(6)Sm2MgTi trigonal pyramid. In the fourth O site, O(4) is bonded to one Sm(8), two equivalent Sm(1), and one Ti(2) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids,  a cornercorner with one O(6)Sm2MgTi trigonal pyramid,  an edgeedge with one O(1)Sm4 tetrahedra, and edges with two equivalent O(17)Sm3Ti tetrahedra. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to two equivalent Sm(3) and one Ti(1) atom. In the sixth O site, O(6) is bonded to one Mg(1), two equivalent Sm(2), and one Ti(2) atom to form OSm2MgTi trigonal pyramids that share  a cornercorner with one O(16)Sm2MgTi tetrahedra,  a cornercorner with one O(4)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(6)Sm2MgTi trigonal pyramids,  an edgeedge with one O(3)Sm3Ti tetrahedra, and  an edgeedge with one O(13)Sm3MgTi trigonal bipyramid. In the seventh O site, O(7) is bonded to one Sm(5), two equivalent Sm(4), and one Ti(1) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra, and edges with two equivalent O(14)Sm3Ti tetrahedra. In the eighth O site, O(8) is bonded to one Sm(1), two equivalent Sm(3), and one Ti(3) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra, and edges with two equivalent O(1)Sm4 tetrahedra. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one Sm(1) and two equivalent Ti(2) atoms. In the tenth O site, O(10) is bonded in a 6-coordinate geometry to two equivalent Mg(1), one Sm(2), one Sm(6), and two equivalent Sm(4) atoms. In the eleventh O site, O(11) is bonded to one Sm(3), one Sm(7), and two equivalent Sm(5) atoms to form OSm4 tetrahedra that share corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra,  an edgeedge with one O(14)Sm3Ti tetrahedra, and edges with two equivalent O(18)Sm3Ti tetrahedra. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Sm(8) and two equivalent Ti(3) atoms. In the thirteenth O site, O(13) is bonded to one Mg(1), one Sm(8), two equivalent Sm(6), and one Ti(2) atom to form distorted OSm3MgTi trigonal bipyramids that share corners with two equivalent O(16)Sm2MgTi tetrahedra, corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids, edges with two equivalent O(20)Sm4 tetrahedra,  an edgeedge with one O(6)Sm2MgTi trigonal pyramid, and  a faceface with one O(16)Sm2MgTi tetrahedra. In the fourteenth O site, O(14) is bonded to one Sm(4), two equivalent Sm(5), and one Ti(4) atom to form OSm3Ti tetrahedra that share  a cornercorner with one O(16)Sm2MgTi tetrahedra, corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra,  an edgeedge with one O(11)Sm4 tetrahedra, and edges with two equivalent O(7)Sm3Ti tetrahedra. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to two equivalent Sm(7) and one Ti(3) atom. In the sixteenth O site, O(16) is bonded to one Mg(1), two equivalent Sm(6), and one Ti(4) atom to form distorted OSm2MgTi tetrahedra that share  a cornercorner with one O(14)Sm3Ti tetrahedra,  a cornercorner with one O(3)Sm3Ti tetrahedra, corners with two equivalent O(16)Sm2MgTi tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids,  a cornercorner with one O(6)Sm2MgTi trigonal pyramid, and  a faceface with one O(13)Sm3MgTi trigonal bipyramid. In the seventeenth O site, O(17) is bonded to one Sm(1), two equivalent Sm(8), and one Ti(3) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids,  an edgeedge with one O(20)Sm4 tetrahedra, and edges with two equivalent O(4)Sm3Ti tetrahedra. In the eighteenth O site, O(18) is bonded to one Sm(5), two equivalent Sm(7), and one Ti(1) atom to form distorted OSm3Ti tetrahedra that share corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, and edges with two equivalent O(11)Sm4 tetrahedra. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Sm(5) and two equivalent Ti(4) atoms. In the twentieth O site, O(20) is bonded to one Sm(2), one Sm(6), and two equivalent Sm(8) atoms to form distorted OSm4 tetrahedra that share corners with two equivalent O(16)Sm2MgTi tetrahedra, corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(6)Sm2MgTi trigonal pyramids,  an edgeedge with one O(17)Sm3Ti tetrahedra, and edges with two equivalent O(13)Sm3MgTi trigonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Sm8MgTi4O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.869
_cell_length_b   3.700
_cell_length_c   16.019
_cell_angle_alpha   90.000
_cell_angle_beta   89.668
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   466.371
_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  0.159  0.250  0.073  1.0
  Sm  Sm1  1  0.106  0.250  0.738  1.0
  Sm  Sm2  1  0.386  0.750  0.239  1.0
  Sm  Sm3  1  0.334  0.750  0.553  1.0
  Sm  Sm4  1  0.659  0.250  0.428  1.0
  Sm  Sm5  1  0.687  0.250  0.761  1.0
  Sm  Sm6  1  0.880  0.750  0.258  1.0
  Sm  Sm7  1  0.855  0.750  0.941  1.0
  Mg  Mg8  1  0.420  0.750  0.737  1.0
  Ti  Ti9  1  0.143  0.250  0.407  1.0
  Ti  Ti10  1  0.353  0.750  0.920  1.0
  Ti  Ti11  1  0.647  0.250  0.088  1.0
  Ti  Ti12  1  0.842  0.750  0.585  1.0
  O  O13  1  0.116  0.750  0.170  1.0
  O  O14  1  0.123  0.750  0.445  1.0
  O  O15  1  0.088  0.750  0.646  1.0
  O  O16  1  0.136  0.750  0.985  1.0
  O  O17  1  0.268  0.250  0.313  1.0
  O  O18  1  0.227  0.750  0.815  1.0
  O  O19  1  0.357  0.250  0.479  1.0
  O  O20  1  0.421  0.250  0.147  1.0
  O  O21  1  0.387  0.250  0.957  1.0
  O  O22  1  0.391  0.250  0.687  1.0
  O  O23  1  0.615  0.750  0.331  1.0
  O  O24  1  0.621  0.750  0.049  1.0
  O  O25  1  0.573  0.750  0.840  1.0
  O  O26  1  0.631  0.750  0.515  1.0
  O  O27  1  0.761  0.250  0.186  1.0
  O  O28  1  0.684  0.750  0.678  1.0
  O  O29  1  0.864  0.250  0.024  1.0
  O  O30  1  0.921  0.250  0.350  1.0
  O  O31  1  0.878  0.250  0.543  1.0
  O  O32  1  0.906  0.250  0.845  1.0
[/CIF]
.
The compound described by MgSm8Ti4O20 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(13), one O(16), one O(6), and two equivalent O(10) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Ti(4)O5 trigonal bipyramid, corners with two equivalent Mg(1)O5 trigonal bipyramids, edges with two equivalent Sm(2)O6 pentagonal pyramids, and  an edgeedge with one Ti(2)O5 trigonal bipyramid. There are eight inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(17), one O(8), one O(9), two equivalent O(1), and two equivalent O(4) atoms. In the second Sm site, Sm(2) is bonded to one O(10), one O(20), two equivalent O(3), and two equivalent O(6) atoms to form distorted SmO6 pentagonal pyramids that share corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with two equivalent Ti(4)O5 trigonal bipyramids, edges with two equivalent Sm(2)O6 pentagonal pyramids, and edges with two equivalent Mg(1)O5 trigonal bipyramids. In the third Sm site, Sm(3) is bonded to one O(1), one O(11), two equivalent O(5), and two equivalent O(8) atoms to form distorted SmO6 octahedra that share corners with two equivalent Sm(7)O6 octahedra, corners with two equivalent Ti(1)O5 trigonal bipyramids, corners with two equivalent Ti(3)O5 trigonal bipyramids, and edges with two equivalent Sm(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 65-68°. In the fourth Sm site, Sm(4) is bonded in a 7-coordinate geometry to one O(14), one O(2), one O(3), two equivalent O(10), and two equivalent O(7) atoms. In the fifth Sm site, Sm(5) is bonded in a 7-coordinate geometry to one O(18), one O(19), one O(7), two equivalent O(11), and two equivalent O(14) atoms. In the sixth Sm site, Sm(6) is bonded in a 6-coordinate geometry to one O(10), one O(20), two equivalent O(13), and two equivalent O(16) atoms. In the seventh Sm site, Sm(7) is bonded to one O(1), one O(11), two equivalent O(15), and two equivalent O(18) atoms to form SmO6 octahedra that share corners with two equivalent Sm(3)O6 octahedra, corners with two equivalent Ti(1)O5 trigonal bipyramids, corners with two equivalent Ti(3)O5 trigonal bipyramids, and edges with two equivalent Sm(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 65-68°. In the eighth Sm site, Sm(8) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(4), two equivalent O(17), and two equivalent O(20) atoms. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(18), one O(5), one O(7), and two equivalent O(2) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(3)O6 octahedra, corners with two equivalent Sm(7)O6 octahedra, and corners with two equivalent Ti(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 51-66°. In the second Ti site, Ti(2) is bonded to one O(13), one O(4), one O(6), and two equivalent O(9) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(2)O6 pentagonal pyramids, corners with two equivalent Ti(2)O5 trigonal bipyramids, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the third Ti site, Ti(3) is bonded to one O(15), one O(17), one O(8), and two equivalent O(12) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(3)O6 octahedra, corners with two equivalent Sm(7)O6 octahedra, and corners with two equivalent Ti(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 52-67°. In the fourth Ti site, Ti(4) is bonded to one O(14), one O(16), one O(3), and two equivalent O(19) atoms to form TiO5 trigonal bipyramids that share corners with two equivalent Sm(2)O6 pentagonal pyramids,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and corners with two equivalent Ti(4)O5 trigonal bipyramids. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Sm(3), one Sm(7), and two equivalent Sm(1) atoms to form OSm4 tetrahedra that share corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra,  an edgeedge with one O(4)Sm3Ti tetrahedra, and edges with two equivalent O(8)Sm3Ti tetrahedra. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Sm(4) and two equivalent Ti(1) atoms. In the third O site, O(3) is bonded to one Sm(4), two equivalent Sm(2), and one Ti(4) atom to form OSm3Ti tetrahedra that share  a cornercorner with one O(16)Sm2MgTi tetrahedra, corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(6)Sm2MgTi trigonal pyramids, and  an edgeedge with one O(6)Sm2MgTi trigonal pyramid. In the fourth O site, O(4) is bonded to one Sm(8), two equivalent Sm(1), and one Ti(2) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids,  a cornercorner with one O(6)Sm2MgTi trigonal pyramid,  an edgeedge with one O(1)Sm4 tetrahedra, and edges with two equivalent O(17)Sm3Ti tetrahedra. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to two equivalent Sm(3) and one Ti(1) atom. In the sixth O site, O(6) is bonded to one Mg(1), two equivalent Sm(2), and one Ti(2) atom to form OSm2MgTi trigonal pyramids that share  a cornercorner with one O(16)Sm2MgTi tetrahedra,  a cornercorner with one O(4)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(6)Sm2MgTi trigonal pyramids,  an edgeedge with one O(3)Sm3Ti tetrahedra, and  an edgeedge with one O(13)Sm3MgTi trigonal bipyramid. In the seventh O site, O(7) is bonded to one Sm(5), two equivalent Sm(4), and one Ti(1) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra, and edges with two equivalent O(14)Sm3Ti tetrahedra. In the eighth O site, O(8) is bonded to one Sm(1), two equivalent Sm(3), and one Ti(3) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra, and edges with two equivalent O(1)Sm4 tetrahedra. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one Sm(1) and two equivalent Ti(2) atoms. In the tenth O site, O(10) is bonded in a 6-coordinate geometry to two equivalent Mg(1), one Sm(2), one Sm(6), and two equivalent Sm(4) atoms. In the eleventh O site, O(11) is bonded to one Sm(3), one Sm(7), and two equivalent Sm(5) atoms to form OSm4 tetrahedra that share corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra,  an edgeedge with one O(14)Sm3Ti tetrahedra, and edges with two equivalent O(18)Sm3Ti tetrahedra. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Sm(8) and two equivalent Ti(3) atoms. In the thirteenth O site, O(13) is bonded to one Mg(1), one Sm(8), two equivalent Sm(6), and one Ti(2) atom to form distorted OSm3MgTi trigonal bipyramids that share corners with two equivalent O(16)Sm2MgTi tetrahedra, corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids, edges with two equivalent O(20)Sm4 tetrahedra,  an edgeedge with one O(6)Sm2MgTi trigonal pyramid, and  a faceface with one O(16)Sm2MgTi tetrahedra. In the fourteenth O site, O(14) is bonded to one Sm(4), two equivalent Sm(5), and one Ti(4) atom to form OSm3Ti tetrahedra that share  a cornercorner with one O(16)Sm2MgTi tetrahedra, corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(11)Sm4 tetrahedra,  an edgeedge with one O(11)Sm4 tetrahedra, and edges with two equivalent O(7)Sm3Ti tetrahedra. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to two equivalent Sm(7) and one Ti(3) atom. In the sixteenth O site, O(16) is bonded to one Mg(1), two equivalent Sm(6), and one Ti(4) atom to form distorted OSm2MgTi tetrahedra that share  a cornercorner with one O(14)Sm3Ti tetrahedra,  a cornercorner with one O(3)Sm3Ti tetrahedra, corners with two equivalent O(16)Sm2MgTi tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids,  a cornercorner with one O(6)Sm2MgTi trigonal pyramid, and  a faceface with one O(13)Sm3MgTi trigonal bipyramid. In the seventeenth O site, O(17) is bonded to one Sm(1), two equivalent Sm(8), and one Ti(3) atom to form OSm3Ti tetrahedra that share corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(8)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(13)Sm3MgTi trigonal bipyramids,  an edgeedge with one O(20)Sm4 tetrahedra, and edges with two equivalent O(4)Sm3Ti tetrahedra. In the eighteenth O site, O(18) is bonded to one Sm(5), two equivalent Sm(7), and one Ti(1) atom to form distorted OSm3Ti tetrahedra that share corners with two equivalent O(14)Sm3Ti tetrahedra, corners with two equivalent O(18)Sm3Ti tetrahedra, corners with two equivalent O(7)Sm3Ti tetrahedra, corners with two equivalent O(1)Sm4 tetrahedra, and edges with two equivalent O(11)Sm4 tetrahedra. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Sm(5) and two equivalent Ti(4) atoms. In the twentieth O site, O(20) is bonded to one Sm(2), one Sm(6), and two equivalent Sm(8) atoms to form distorted OSm4 tetrahedra that share corners with two equivalent O(16)Sm2MgTi tetrahedra, corners with two equivalent O(17)Sm3Ti tetrahedra, corners with two equivalent O(3)Sm3Ti tetrahedra, corners with two equivalent O(4)Sm3Ti tetrahedra, corners with two equivalent O(20)Sm4 tetrahedra, corners with two equivalent O(6)Sm2MgTi trigonal pyramids,  an edgeedge with one O(17)Sm3Ti tetrahedra, and edges with two equivalent O(13)Sm3MgTi trigonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Sm8MgTi4O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.869
_cell_length_b   3.700
_cell_length_c   16.019
_cell_angle_alpha   90.000
_cell_angle_beta   89.668
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   466.371
_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  0.159  0.250  0.073  1.0
  Sm  Sm1  1  0.106  0.250  0.738  1.0
  Sm  Sm2  1  0.386  0.750  0.239  1.0
  Sm  Sm3  1  0.334  0.750  0.553  1.0
  Sm  Sm4  1  0.659  0.250  0.428  1.0
  Sm  Sm5  1  0.687  0.250  0.761  1.0
  Sm  Sm6  1  0.880  0.750  0.258  1.0
  Sm  Sm7  1  0.855  0.750  0.941  1.0
  Mg  Mg8  1  0.420  0.750  0.737  1.0
  Ti  Ti9  1  0.143  0.250  0.407  1.0
  Ti  Ti10  1  0.353  0.750  0.920  1.0
  Ti  Ti11  1  0.647  0.250  0.088  1.0
  Ti  Ti12  1  0.842  0.750  0.585  1.0
  O  O13  1  0.116  0.750  0.170  1.0
  O  O14  1  0.123  0.750  0.445  1.0
  O  O15  1  0.088  0.750  0.646  1.0
  O  O16  1  0.136  0.750  0.985  1.0
  O  O17  1  0.268  0.250  0.313  1.0
  O  O18  1  0.227  0.750  0.815  1.0
  O  O19  1  0.357  0.250  0.479  1.0
  O  O20  1  0.421  0.250  0.147  1.0
  O  O21  1  0.387  0.250  0.957  1.0
  O  O22  1  0.391  0.250  0.687  1.0
  O  O23  1  0.615  0.750  0.331  1.0
  O  O24  1  0.621  0.750  0.049  1.0
  O  O25  1  0.573  0.750  0.840  1.0
  O  O26  1  0.631  0.750  0.515  1.0
  O  O27  1  0.761  0.250  0.186  1.0
  O  O28  1  0.684  0.750  0.678  1.0
  O  O29  1  0.864  0.250  0.024  1.0
  O  O30  1  0.921  0.250  0.350  1.0
  O  O31  1  0.878  0.250  0.543  1.0
  O  O32  1  0.906  0.250  0.845  1.0
[/CIF]
.