The compound described by Li4Mn3Co2Sn3O16 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 Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-66°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. In the second Co site, Co(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-56°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(2), one Co(1), and one Sn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Co(1), and two equivalent Sn(1) atoms to form distorted OLiCoSn2 tetrahedra that share corners with two equivalent O(6)LiMnCoSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(8)LiMn2Co trigonal pyramid, and edges with two equivalent O(6)LiMnCoSn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sn(1) atoms to form distorted OLiMnSn2 tetrahedra that share corners with two equivalent O(2)LiCoSn2 tetrahedra, corners with four equivalent O(6)LiMnCoSn tetrahedra, and  a cornercorner with one O(8)LiMn2Co trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form distorted OLiMn2Sn tetrahedra that share corners with two equivalent O(12)LiMn2Co tetrahedra, corners with four equivalent O(9)LiMnCoSn tetrahedra, and  an edgeedge with one O(8)LiMn2Co trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Co(1), and one Sn(1) atom to form distorted OLiMnCoSn tetrahedra that share  a cornercorner with one O(2)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiMnCoSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(8)LiMn2Co trigonal pyramid,  an edgeedge with one O(2)LiCoSn2 tetrahedra, and  an edgeedge with one O(6)LiMnCoSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Mn(2), and one Co(1) atom to form distorted OLiMn2Co trigonal pyramids that share  a cornercorner with one O(2)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiMnSn2 tetrahedra, corners with two equivalent O(12)LiMn2Co tetrahedra, corners with two equivalent O(6)LiMnCoSn tetrahedra, corners with two equivalent O(9)LiMnCoSn tetrahedra, and  an edgeedge with one O(5)LiMn2Sn tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one Mn(2), one Co(2), and one Sn(2) atom to form distorted OLiMnCoSn tetrahedra that share  a cornercorner with one O(12)LiMn2Co tetrahedra,  a cornercorner with one O(9)LiMnCoSn tetrahedra, corners with two equivalent O(5)LiMn2Sn tetrahedra,  a cornercorner with one O(8)LiMn2Co trigonal pyramid,  an edgeedge with one O(12)LiMn2Co tetrahedra, and  an edgeedge with one O(9)LiMnCoSn tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Co(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Co(2) atom to form distorted OLiMn2Co tetrahedra that share corners with two equivalent O(5)LiMn2Sn tetrahedra, corners with two equivalent O(9)LiMnCoSn tetrahedra, corners with two equivalent O(8)LiMn2Co trigonal pyramids, and edges with two equivalent O(9)LiMnCoSn tetrahedra. is represented by the CIF file [CIF]
data_Li4Mn3Co2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.085
_cell_length_b   6.085
_cell_length_c   9.765
_cell_angle_alpha   89.618
_cell_angle_beta   89.618
_cell_angle_gamma   60.039
_symmetry_Int_Tables_number   1
_cell_volume   313.290
_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  0.673  0.673  0.883  1.0
  Li  Li1  1  0.987  0.987  0.995  1.0
  Li  Li2  1  0.989  0.989  0.502  1.0
  Li  Li3  1  0.338  0.338  0.391  1.0
  Mn  Mn4  1  0.832  0.832  0.216  1.0
  Mn  Mn5  1  0.662  0.170  0.715  1.0
  Mn  Mn6  1  0.170  0.662  0.715  1.0
  Co  Co7  1  0.669  0.669  0.497  1.0
  Co  Co8  1  0.337  0.337  0.990  1.0
  Sn  Sn9  1  0.832  0.339  0.215  1.0
  Sn  Sn10  1  0.339  0.832  0.215  1.0
  Sn  Sn11  1  0.170  0.170  0.715  1.0
  O  O12  1  0.833  0.314  0.603  1.0
  O  O13  1  0.518  0.518  0.341  1.0
  O  O14  1  0.679  0.679  0.100  1.0
  O  O15  1  0.990  0.990  0.318  1.0
  O  O16  1  0.990  0.990  0.811  1.0
  O  O17  1  0.314  0.833  0.603  1.0
  O  O18  1  0.967  0.530  0.335  1.0
  O  O19  1  0.530  0.967  0.335  1.0
  O  O20  1  0.157  0.157  0.093  1.0
  O  O21  1  0.840  0.840  0.612  1.0
  O  O22  1  0.495  0.038  0.833  1.0
  O  O23  1  0.038  0.495  0.833  1.0
  O  O24  1  0.346  0.346  0.607  1.0
  O  O25  1  0.681  0.149  0.105  1.0
  O  O26  1  0.483  0.483  0.827  1.0
  O  O27  1  0.149  0.681  0.105  1.0
[/CIF]
.
The compound described by Li4Mn3Co2Sn3O16 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 Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-66°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. In the second Co site, Co(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-56°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(2), one Co(1), and one Sn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Co(1), and two equivalent Sn(1) atoms to form distorted OLiCoSn2 tetrahedra that share corners with two equivalent O(6)LiMnCoSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(8)LiMn2Co trigonal pyramid, and edges with two equivalent O(6)LiMnCoSn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sn(1) atoms to form distorted OLiMnSn2 tetrahedra that share corners with two equivalent O(2)LiCoSn2 tetrahedra, corners with four equivalent O(6)LiMnCoSn tetrahedra, and  a cornercorner with one O(8)LiMn2Co trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form distorted OLiMn2Sn tetrahedra that share corners with two equivalent O(12)LiMn2Co tetrahedra, corners with four equivalent O(9)LiMnCoSn tetrahedra, and  an edgeedge with one O(8)LiMn2Co trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Co(1), and one Sn(1) atom to form distorted OLiMnCoSn tetrahedra that share  a cornercorner with one O(2)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiMnCoSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(8)LiMn2Co trigonal pyramid,  an edgeedge with one O(2)LiCoSn2 tetrahedra, and  an edgeedge with one O(6)LiMnCoSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Mn(2), and one Co(1) atom to form distorted OLiMn2Co trigonal pyramids that share  a cornercorner with one O(2)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiMnSn2 tetrahedra, corners with two equivalent O(12)LiMn2Co tetrahedra, corners with two equivalent O(6)LiMnCoSn tetrahedra, corners with two equivalent O(9)LiMnCoSn tetrahedra, and  an edgeedge with one O(5)LiMn2Sn tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one Mn(2), one Co(2), and one Sn(2) atom to form distorted OLiMnCoSn tetrahedra that share  a cornercorner with one O(12)LiMn2Co tetrahedra,  a cornercorner with one O(9)LiMnCoSn tetrahedra, corners with two equivalent O(5)LiMn2Sn tetrahedra,  a cornercorner with one O(8)LiMn2Co trigonal pyramid,  an edgeedge with one O(12)LiMn2Co tetrahedra, and  an edgeedge with one O(9)LiMnCoSn tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Co(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Co(2) atom to form distorted OLiMn2Co tetrahedra that share corners with two equivalent O(5)LiMn2Sn tetrahedra, corners with two equivalent O(9)LiMnCoSn tetrahedra, corners with two equivalent O(8)LiMn2Co trigonal pyramids, and edges with two equivalent O(9)LiMnCoSn tetrahedra. is represented by the CIF file [CIF]
data_Li4Mn3Co2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.085
_cell_length_b   6.085
_cell_length_c   9.765
_cell_angle_alpha   89.618
_cell_angle_beta   89.618
_cell_angle_gamma   60.039
_symmetry_Int_Tables_number   1
_cell_volume   313.290
_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  0.673  0.673  0.883  1.0
  Li  Li1  1  0.987  0.987  0.995  1.0
  Li  Li2  1  0.989  0.989  0.502  1.0
  Li  Li3  1  0.338  0.338  0.391  1.0
  Mn  Mn4  1  0.832  0.832  0.216  1.0
  Mn  Mn5  1  0.662  0.170  0.715  1.0
  Mn  Mn6  1  0.170  0.662  0.715  1.0
  Co  Co7  1  0.669  0.669  0.497  1.0
  Co  Co8  1  0.337  0.337  0.990  1.0
  Sn  Sn9  1  0.832  0.339  0.215  1.0
  Sn  Sn10  1  0.339  0.832  0.215  1.0
  Sn  Sn11  1  0.170  0.170  0.715  1.0
  O  O12  1  0.833  0.314  0.603  1.0
  O  O13  1  0.518  0.518  0.341  1.0
  O  O14  1  0.679  0.679  0.100  1.0
  O  O15  1  0.990  0.990  0.318  1.0
  O  O16  1  0.990  0.990  0.811  1.0
  O  O17  1  0.314  0.833  0.603  1.0
  O  O18  1  0.967  0.530  0.335  1.0
  O  O19  1  0.530  0.967  0.335  1.0
  O  O20  1  0.157  0.157  0.093  1.0
  O  O21  1  0.840  0.840  0.612  1.0
  O  O22  1  0.495  0.038  0.833  1.0
  O  O23  1  0.038  0.495  0.833  1.0
  O  O24  1  0.346  0.346  0.607  1.0
  O  O25  1  0.681  0.149  0.105  1.0
  O  O26  1  0.483  0.483  0.827  1.0
  O  O27  1  0.149  0.681  0.105  1.0
[/CIF]
.