The compound described by Li4Mn2Cu3Sn3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cu(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-66°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Cu(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-67°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cu(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Cu(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Cu(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CuO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Cu site, Cu(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cu(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form SnO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cu(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with four equivalent Cu(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(1), one Cu(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), and two equivalent Sn(1) atoms. In the third O site, O(3) is bonded to one Li(1), one Cu(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiCuSn2 trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(3), one Cu(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiCuSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Cu(2), and one Sn(2) atom to form corner-sharing OLiCu2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), one Cu(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(1), and two equivalent Cu(2) atoms. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(2), one Cu(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Cu(2), and one Sn(2) atom to form distorted corner-sharing OLiCu2Sn trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), one Cu(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(2), and two equivalent Cu(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn2Cu3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.047
_cell_length_b   6.115
_cell_length_c   9.588
_cell_angle_alpha   89.995
_cell_angle_beta   90.178
_cell_angle_gamma   120.367
_symmetry_Int_Tables_number   1
_cell_volume   305.866
_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  0.352  0.676  0.892  1.0
  Li  Li1  1  0.953  0.977  0.985  1.0
  Li  Li2  1  0.963  0.981  0.499  1.0
  Li  Li3  1  0.672  0.336  0.404  1.0
  Mn  Mn4  1  0.337  0.668  0.491  1.0
  Mn  Mn5  1  0.686  0.343  0.980  1.0
  Cu  Cu6  1  0.663  0.831  0.213  1.0
  Cu  Cu7  1  0.834  0.660  0.712  1.0
  Cu  Cu8  1  0.834  0.174  0.712  1.0
  Sn  Sn9  1  0.173  0.833  0.212  1.0
  Sn  Sn10  1  0.173  0.340  0.212  1.0
  Sn  Sn11  1  0.342  0.171  0.711  1.0
  O  O12  1  0.167  0.832  0.592  1.0
  O  O13  1  0.035  0.518  0.347  1.0
  O  O14  1  0.351  0.675  0.100  1.0
  O  O15  1  0.987  0.994  0.310  1.0
  O  O16  1  0.986  0.993  0.799  1.0
  O  O17  1  0.167  0.334  0.592  1.0
  O  O18  1  0.476  0.958  0.355  1.0
  O  O19  1  0.476  0.518  0.355  1.0
  O  O20  1  0.338  0.169  0.095  1.0
  O  O21  1  0.644  0.822  0.597  1.0
  O  O22  1  0.530  0.481  0.851  1.0
  O  O23  1  0.531  0.050  0.851  1.0
  O  O24  1  0.685  0.343  0.608  1.0
  O  O25  1  0.841  0.662  0.090  1.0
  O  O26  1  0.967  0.484  0.852  1.0
  O  O27  1  0.841  0.179  0.090  1.0
[/CIF]
.
The compound described by Li4Mn2Cu3Sn3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cu(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-66°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Cu(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-67°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cu(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Cu(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Cu(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CuO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Cu site, Cu(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cu(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form SnO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cu(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with four equivalent Cu(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(1), one Cu(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), and two equivalent Sn(1) atoms. In the third O site, O(3) is bonded to one Li(1), one Cu(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiCuSn2 trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(3), one Cu(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiCuSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Cu(2), and one Sn(2) atom to form corner-sharing OLiCu2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), one Cu(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(1), and two equivalent Cu(2) atoms. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(2), one Cu(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Cu(2), and one Sn(2) atom to form distorted corner-sharing OLiCu2Sn trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), one Cu(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(2), and two equivalent Cu(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn2Cu3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.047
_cell_length_b   6.115
_cell_length_c   9.588
_cell_angle_alpha   89.995
_cell_angle_beta   90.178
_cell_angle_gamma   120.367
_symmetry_Int_Tables_number   1
_cell_volume   305.866
_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  0.352  0.676  0.892  1.0
  Li  Li1  1  0.953  0.977  0.985  1.0
  Li  Li2  1  0.963  0.981  0.499  1.0
  Li  Li3  1  0.672  0.336  0.404  1.0
  Mn  Mn4  1  0.337  0.668  0.491  1.0
  Mn  Mn5  1  0.686  0.343  0.980  1.0
  Cu  Cu6  1  0.663  0.831  0.213  1.0
  Cu  Cu7  1  0.834  0.660  0.712  1.0
  Cu  Cu8  1  0.834  0.174  0.712  1.0
  Sn  Sn9  1  0.173  0.833  0.212  1.0
  Sn  Sn10  1  0.173  0.340  0.212  1.0
  Sn  Sn11  1  0.342  0.171  0.711  1.0
  O  O12  1  0.167  0.832  0.592  1.0
  O  O13  1  0.035  0.518  0.347  1.0
  O  O14  1  0.351  0.675  0.100  1.0
  O  O15  1  0.987  0.994  0.310  1.0
  O  O16  1  0.986  0.993  0.799  1.0
  O  O17  1  0.167  0.334  0.592  1.0
  O  O18  1  0.476  0.958  0.355  1.0
  O  O19  1  0.476  0.518  0.355  1.0
  O  O20  1  0.338  0.169  0.095  1.0
  O  O21  1  0.644  0.822  0.597  1.0
  O  O22  1  0.530  0.481  0.851  1.0
  O  O23  1  0.531  0.050  0.851  1.0
  O  O24  1  0.685  0.343  0.608  1.0
  O  O25  1  0.841  0.662  0.090  1.0
  O  O26  1  0.967  0.484  0.852  1.0
  O  O27  1  0.841  0.179  0.090  1.0
[/CIF]
.