The compound described by Li4Nb2Mn3Sn3O16 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 Nb(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-64°. In the second Li site, Li(2) is bonded in a distorted 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Nb(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 51-64°. 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 Nb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted NbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted NbO6 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 48-53°. 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 Nb(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 Nb(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(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 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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 Nb(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 Nb(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 51-53°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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(1), one Mn(2), and one Sn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), and two equivalent Sn(1) atoms to form distorted OLiNbSn2 trigonal pyramids that share corners with two equivalent O(6)LiMnNbSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra, and edges with two equivalent O(6)LiMnNbSn 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 four equivalent O(6)LiMnNbSn tetrahedra and corners with two equivalent O(2)LiNbSn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form corner-sharing OLiMn2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Nb(1), one Mn(1), and one Sn(1) atom to form distorted OLiMnNbSn tetrahedra that share  a cornercorner with one O(6)LiMnNbSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(2)LiNbSn2 trigonal pyramid,  an edgeedge with one O(6)LiMnNbSn tetrahedra, and  an edgeedge with one O(2)LiNbSn2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(2), one Mn(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a 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 Nb(2), one Mn(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Nb(2), and two equivalent Mn(2) atoms to form distorted corner-sharing OLiMn2Nb tetrahedra. is represented by the CIF card [CIF]
data_Li4Mn3Nb2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.281
_cell_length_b   6.281
_cell_length_c   10.007
_cell_angle_alpha   89.566
_cell_angle_beta   89.566
_cell_angle_gamma   59.464
_symmetry_Int_Tables_number   1
_cell_volume   340.024
_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  0.670  0.670  0.097  1.0
  Li  Li1  1  0.995  0.995  0.016  1.0
  Li  Li2  1  0.999  0.999  0.505  1.0
  Li  Li3  1  0.327  0.327  0.595  1.0
  Mn  Mn4  1  0.829  0.829  0.787  1.0
  Mn  Mn5  1  0.172  0.662  0.290  1.0
  Mn  Mn6  1  0.662  0.172  0.290  1.0
  Nb  Nb7  1  0.675  0.675  0.504  1.0
  Nb  Nb8  1  0.350  0.350  0.020  1.0
  Sn  Sn9  1  0.338  0.832  0.785  1.0
  Sn  Sn10  1  0.832  0.338  0.785  1.0
  Sn  Sn11  1  0.173  0.173  0.283  1.0
  O  O12  1  0.346  0.837  0.412  1.0
  O  O13  1  0.515  0.515  0.661  1.0
  O  O14  1  0.659  0.659  0.898  1.0
  O  O15  1  0.002  0.002  0.689  1.0
  O  O16  1  0.006  0.006  0.199  1.0
  O  O17  1  0.837  0.346  0.412  1.0
  O  O18  1  0.509  0.954  0.651  1.0
  O  O19  1  0.954  0.509  0.651  1.0
  O  O20  1  0.159  0.159  0.901  1.0
  O  O21  1  0.829  0.829  0.420  1.0
  O  O22  1  0.042  0.473  0.145  1.0
  O  O23  1  0.473  0.042  0.145  1.0
  O  O24  1  0.327  0.327  0.394  1.0
  O  O25  1  0.176  0.662  0.909  1.0
  O  O26  1  0.482  0.482  0.140  1.0
  O  O27  1  0.662  0.176  0.909  1.0
[/CIF]
.
The compound described by Li4Nb2Mn3Sn3O16 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 Nb(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-64°. In the second Li site, Li(2) is bonded in a distorted 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Nb(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 51-64°. 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 Nb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted NbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted NbO6 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 48-53°. 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 Nb(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 Nb(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(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 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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 Nb(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 Nb(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 51-53°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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(1), one Mn(2), and one Sn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), and two equivalent Sn(1) atoms to form distorted OLiNbSn2 trigonal pyramids that share corners with two equivalent O(6)LiMnNbSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra, and edges with two equivalent O(6)LiMnNbSn 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 four equivalent O(6)LiMnNbSn tetrahedra and corners with two equivalent O(2)LiNbSn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form corner-sharing OLiMn2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Nb(1), one Mn(1), and one Sn(1) atom to form distorted OLiMnNbSn tetrahedra that share  a cornercorner with one O(6)LiMnNbSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(2)LiNbSn2 trigonal pyramid,  an edgeedge with one O(6)LiMnNbSn tetrahedra, and  an edgeedge with one O(2)LiNbSn2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(2), one Mn(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a 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 Nb(2), one Mn(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Nb(2), and two equivalent Mn(2) atoms to form distorted corner-sharing OLiMn2Nb tetrahedra. is represented by the CIF card [CIF]
data_Li4Mn3Nb2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.281
_cell_length_b   6.281
_cell_length_c   10.007
_cell_angle_alpha   89.566
_cell_angle_beta   89.566
_cell_angle_gamma   59.464
_symmetry_Int_Tables_number   1
_cell_volume   340.024
_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  0.670  0.670  0.097  1.0
  Li  Li1  1  0.995  0.995  0.016  1.0
  Li  Li2  1  0.999  0.999  0.505  1.0
  Li  Li3  1  0.327  0.327  0.595  1.0
  Mn  Mn4  1  0.829  0.829  0.787  1.0
  Mn  Mn5  1  0.172  0.662  0.290  1.0
  Mn  Mn6  1  0.662  0.172  0.290  1.0
  Nb  Nb7  1  0.675  0.675  0.504  1.0
  Nb  Nb8  1  0.350  0.350  0.020  1.0
  Sn  Sn9  1  0.338  0.832  0.785  1.0
  Sn  Sn10  1  0.832  0.338  0.785  1.0
  Sn  Sn11  1  0.173  0.173  0.283  1.0
  O  O12  1  0.346  0.837  0.412  1.0
  O  O13  1  0.515  0.515  0.661  1.0
  O  O14  1  0.659  0.659  0.898  1.0
  O  O15  1  0.002  0.002  0.689  1.0
  O  O16  1  0.006  0.006  0.199  1.0
  O  O17  1  0.837  0.346  0.412  1.0
  O  O18  1  0.509  0.954  0.651  1.0
  O  O19  1  0.954  0.509  0.651  1.0
  O  O20  1  0.159  0.159  0.901  1.0
  O  O21  1  0.829  0.829  0.420  1.0
  O  O22  1  0.042  0.473  0.145  1.0
  O  O23  1  0.473  0.042  0.145  1.0
  O  O24  1  0.327  0.327  0.394  1.0
  O  O25  1  0.176  0.662  0.909  1.0
  O  O26  1  0.482  0.482  0.140  1.0
  O  O27  1  0.662  0.176  0.909  1.0
[/CIF]
.