The structure described by Li4Nb3Mn3(SnO8)2 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 Nb(1)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-66°. 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 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Mn(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-64°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Nb site, Nb(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 NbO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Nb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. There are two inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-55°. In the second Mn site, Mn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted SnO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. 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 Nb(2), one Mn(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Mn(1), and one Sn(1) atom to form distorted corner-sharing OLiMn2Sn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent Mn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent Mn(1) atoms to form corner-sharing OLiMn2Nb tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one Mn(2) atom to form distorted OLiMnNb2 tetrahedra that share corners with four equivalent O(9)LiMnNbSn tetrahedra and corners with two equivalent O(12)LiNb2Sn trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Nb(1), one Mn(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), two equivalent Mn(1), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Nb(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one Mn(2), and one Sn(2) atom to form distorted OLiMnNbSn tetrahedra that share  a cornercorner with one O(9)LiMnNbSn tetrahedra, corners with two equivalent O(5)LiMnNb2 tetrahedra,  a cornercorner with one O(12)LiNb2Sn trigonal pyramid,  an edgeedge with one O(9)LiMnNbSn tetrahedra, and  an edgeedge with one O(12)LiNb2Sn trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one Mn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one Mn(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Nb(2), and one Sn(2) atom to form distorted OLiNb2Sn trigonal pyramids that share corners with two equivalent O(5)LiMnNb2 tetrahedra, corners with two equivalent O(9)LiMnNbSn tetrahedra, and edges with two equivalent O(9)LiMnNbSn tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn3Nb3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.289
_cell_length_b   6.289
_cell_length_c   10.071
_cell_angle_alpha   88.674
_cell_angle_beta   88.674
_cell_angle_gamma   58.386
_symmetry_Int_Tables_number   1
_cell_volume   339.117
_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  0.671  0.671  0.908  1.0
  Li  Li1  1  0.003  0.003  0.996  1.0
  Li  Li2  1  0.005  0.005  0.483  1.0
  Li  Li3  1  0.345  0.345  0.393  1.0
  Mn  Mn4  1  0.829  0.340  0.211  1.0
  Mn  Mn5  1  0.340  0.829  0.211  1.0
  Mn  Mn6  1  0.167  0.167  0.714  1.0
  Nb  Nb7  1  0.829  0.829  0.217  1.0
  Nb  Nb8  1  0.658  0.166  0.713  1.0
  Nb  Nb9  1  0.166  0.658  0.713  1.0
  Sn  Sn10  1  0.659  0.659  0.482  1.0
  Sn  Sn11  1  0.325  0.325  0.999  1.0
  O  O12  1  0.818  0.323  0.600  1.0
  O  O13  1  0.523  0.523  0.350  1.0
  O  O14  1  0.686  0.686  0.102  1.0
  O  O15  1  0.989  0.989  0.303  1.0
  O  O16  1  0.994  0.994  0.813  1.0
  O  O17  1  0.323  0.818  0.600  1.0
  O  O18  1  0.970  0.536  0.349  1.0
  O  O19  1  0.536  0.970  0.349  1.0
  O  O20  1  0.158  0.158  0.084  1.0
  O  O21  1  0.830  0.830  0.604  1.0
  O  O22  1  0.499  0.043  0.840  1.0
  O  O23  1  0.043  0.499  0.840  1.0
  O  O24  1  0.340  0.340  0.600  1.0
  O  O25  1  0.662  0.153  0.097  1.0
  O  O26  1  0.480  0.480  0.840  1.0
  O  O27  1  0.153  0.662  0.097  1.0
[/CIF]
.
The structure described by Li4Nb3Mn3(SnO8)2 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 Nb(1)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-66°. 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 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Mn(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-64°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Nb site, Nb(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 NbO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Nb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. There are two inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-55°. In the second Mn site, Mn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted SnO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. 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 Nb(2), one Mn(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Mn(1), and one Sn(1) atom to form distorted corner-sharing OLiMn2Sn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent Mn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent Mn(1) atoms to form corner-sharing OLiMn2Nb tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one Mn(2) atom to form distorted OLiMnNb2 tetrahedra that share corners with four equivalent O(9)LiMnNbSn tetrahedra and corners with two equivalent O(12)LiNb2Sn trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Nb(1), one Mn(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), two equivalent Mn(1), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Nb(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one Mn(2), and one Sn(2) atom to form distorted OLiMnNbSn tetrahedra that share  a cornercorner with one O(9)LiMnNbSn tetrahedra, corners with two equivalent O(5)LiMnNb2 tetrahedra,  a cornercorner with one O(12)LiNb2Sn trigonal pyramid,  an edgeedge with one O(9)LiMnNbSn tetrahedra, and  an edgeedge with one O(12)LiNb2Sn trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one Mn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one Mn(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Nb(2), and one Sn(2) atom to form distorted OLiNb2Sn trigonal pyramids that share corners with two equivalent O(5)LiMnNb2 tetrahedra, corners with two equivalent O(9)LiMnNbSn tetrahedra, and edges with two equivalent O(9)LiMnNbSn tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn3Nb3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.289
_cell_length_b   6.289
_cell_length_c   10.071
_cell_angle_alpha   88.674
_cell_angle_beta   88.674
_cell_angle_gamma   58.386
_symmetry_Int_Tables_number   1
_cell_volume   339.117
_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  0.671  0.671  0.908  1.0
  Li  Li1  1  0.003  0.003  0.996  1.0
  Li  Li2  1  0.005  0.005  0.483  1.0
  Li  Li3  1  0.345  0.345  0.393  1.0
  Mn  Mn4  1  0.829  0.340  0.211  1.0
  Mn  Mn5  1  0.340  0.829  0.211  1.0
  Mn  Mn6  1  0.167  0.167  0.714  1.0
  Nb  Nb7  1  0.829  0.829  0.217  1.0
  Nb  Nb8  1  0.658  0.166  0.713  1.0
  Nb  Nb9  1  0.166  0.658  0.713  1.0
  Sn  Sn10  1  0.659  0.659  0.482  1.0
  Sn  Sn11  1  0.325  0.325  0.999  1.0
  O  O12  1  0.818  0.323  0.600  1.0
  O  O13  1  0.523  0.523  0.350  1.0
  O  O14  1  0.686  0.686  0.102  1.0
  O  O15  1  0.989  0.989  0.303  1.0
  O  O16  1  0.994  0.994  0.813  1.0
  O  O17  1  0.323  0.818  0.600  1.0
  O  O18  1  0.970  0.536  0.349  1.0
  O  O19  1  0.536  0.970  0.349  1.0
  O  O20  1  0.158  0.158  0.084  1.0
  O  O21  1  0.830  0.830  0.604  1.0
  O  O22  1  0.499  0.043  0.840  1.0
  O  O23  1  0.043  0.499  0.840  1.0
  O  O24  1  0.340  0.340  0.600  1.0
  O  O25  1  0.662  0.153  0.097  1.0
  O  O26  1  0.480  0.480  0.840  1.0
  O  O27  1  0.153  0.662  0.097  1.0
[/CIF]
.