The crystal structure described by Li4Ni3Sn(PO4)4 is Hausmannite-derived structured and crystallizes in the monoclinic Pm space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(11), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-68°. In the second Li site, Li(2) is bonded to one O(1), one O(12), one O(2), one O(7), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one P(1)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 62-66°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-68°. In the second Ni site, Ni(2) is bonded to one O(3), one O(8), two equivalent O(11), and two equivalent O(9) atoms to form NiO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-66°. In the third Ni site, Ni(3) is bonded to one O(2), one O(5), two equivalent O(10), and two equivalent O(12) atoms to form distorted NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-64°. Sn(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(12) atoms to form distorted SnO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(3)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 59-65°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(7), and two equivalent O(9) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-57°. In the second P site, P(2) is bonded to one O(4), one O(6), and two equivalent O(10) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-66°. In the third P site, P(3) is bonded to one O(3), one O(5), and two equivalent O(11) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-56°. In the fourth P site, P(4) is bonded to one O(2), one O(8), and two equivalent O(12) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Sn(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Li(2), one Ni(3), and one P(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(2), and one P(3) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(1), and one P(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(3), and one P(3) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Sn(1), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Ni(1), and one P(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Ni(2), and one P(4) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(1), one Ni(2), and one P(1) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ni(3), one Sn(1), and one P(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ni(1), one Ni(2), and one P(3) atom. In the twelfth O site, O(12) is bonded to one Li(2), one Ni(3), one Sn(1), and one P(4) atom to form a mixture of distorted edge and corner-sharing OLiNiSnP tetrahedra. is represented by the CIF file [CIF]
data_Li4Ni3Sn(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.800
_cell_length_b   6.044
_cell_length_c   10.650
_cell_angle_alpha   90.008
_cell_angle_beta   90.874
_cell_angle_gamma   90.026
_symmetry_Int_Tables_number   1
_cell_volume   308.937
_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  0.988  0.998  0.013  1.0
  Li  Li1  1  0.988  0.502  0.013  1.0
  Li  Li2  1  0.499  0.506  0.482  1.0
  Li  Li3  1  0.499  0.994  0.482  1.0
  Ni  Ni4  1  0.473  0.750  0.219  1.0
  Ni  Ni5  1  0.984  0.250  0.270  1.0
  Ni  Ni6  1  0.516  0.250  0.786  1.0
  O  O7  1  0.786  0.751  0.520  1.0
  O  O8  1  0.810  0.250  0.611  1.0
  O  O9  1  0.731  0.250  0.102  1.0
  O  O10  1  0.704  0.750  0.062  1.0
  O  O11  1  0.285  0.250  0.959  1.0
  O  O12  1  0.245  0.750  0.934  1.0
  O  O13  1  0.235  0.750  0.387  1.0
  O  O14  1  0.205  0.250  0.446  1.0
  O  O15  1  0.779  0.957  0.320  1.0
  O  O16  1  0.779  0.543  0.320  1.0
  O  O17  1  0.683  0.959  0.860  1.0
  O  O18  1  0.683  0.541  0.860  1.0
  O  O19  1  0.274  0.453  0.166  1.0
  O  O20  1  0.273  0.047  0.166  1.0
  O  O21  1  0.283  0.450  0.651  1.0
  O  O22  1  0.283  0.050  0.651  1.0
  P  P23  1  0.913  0.750  0.387  1.0
  P  P24  1  0.563  0.750  0.929  1.0
  P  P25  1  0.410  0.250  0.095  1.0
  P  P26  1  0.123  0.250  0.587  1.0
  Sn  Sn27  1  0.006  0.750  0.719  1.0
[/CIF]
.
The crystal structure described by Li4Ni3Sn(PO4)4 is Hausmannite-derived structured and crystallizes in the monoclinic Pm space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(11), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-68°. In the second Li site, Li(2) is bonded to one O(1), one O(12), one O(2), one O(7), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one P(1)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 62-66°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-68°. In the second Ni site, Ni(2) is bonded to one O(3), one O(8), two equivalent O(11), and two equivalent O(9) atoms to form NiO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-66°. In the third Ni site, Ni(3) is bonded to one O(2), one O(5), two equivalent O(10), and two equivalent O(12) atoms to form distorted NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-64°. Sn(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(12) atoms to form distorted SnO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(3)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 59-65°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(7), and two equivalent O(9) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-57°. In the second P site, P(2) is bonded to one O(4), one O(6), and two equivalent O(10) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-66°. In the third P site, P(3) is bonded to one O(3), one O(5), and two equivalent O(11) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-56°. In the fourth P site, P(4) is bonded to one O(2), one O(8), and two equivalent O(12) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Sn(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Li(2), one Ni(3), and one P(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(2), and one P(3) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(1), and one P(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(3), and one P(3) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Sn(1), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Ni(1), and one P(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Ni(2), and one P(4) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(1), one Ni(2), and one P(1) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ni(3), one Sn(1), and one P(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ni(1), one Ni(2), and one P(3) atom. In the twelfth O site, O(12) is bonded to one Li(2), one Ni(3), one Sn(1), and one P(4) atom to form a mixture of distorted edge and corner-sharing OLiNiSnP tetrahedra. is represented by the CIF file [CIF]
data_Li4Ni3Sn(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.800
_cell_length_b   6.044
_cell_length_c   10.650
_cell_angle_alpha   90.008
_cell_angle_beta   90.874
_cell_angle_gamma   90.026
_symmetry_Int_Tables_number   1
_cell_volume   308.937
_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  0.988  0.998  0.013  1.0
  Li  Li1  1  0.988  0.502  0.013  1.0
  Li  Li2  1  0.499  0.506  0.482  1.0
  Li  Li3  1  0.499  0.994  0.482  1.0
  Ni  Ni4  1  0.473  0.750  0.219  1.0
  Ni  Ni5  1  0.984  0.250  0.270  1.0
  Ni  Ni6  1  0.516  0.250  0.786  1.0
  O  O7  1  0.786  0.751  0.520  1.0
  O  O8  1  0.810  0.250  0.611  1.0
  O  O9  1  0.731  0.250  0.102  1.0
  O  O10  1  0.704  0.750  0.062  1.0
  O  O11  1  0.285  0.250  0.959  1.0
  O  O12  1  0.245  0.750  0.934  1.0
  O  O13  1  0.235  0.750  0.387  1.0
  O  O14  1  0.205  0.250  0.446  1.0
  O  O15  1  0.779  0.957  0.320  1.0
  O  O16  1  0.779  0.543  0.320  1.0
  O  O17  1  0.683  0.959  0.860  1.0
  O  O18  1  0.683  0.541  0.860  1.0
  O  O19  1  0.274  0.453  0.166  1.0
  O  O20  1  0.273  0.047  0.166  1.0
  O  O21  1  0.283  0.450  0.651  1.0
  O  O22  1  0.283  0.050  0.651  1.0
  P  P23  1  0.913  0.750  0.387  1.0
  P  P24  1  0.563  0.750  0.929  1.0
  P  P25  1  0.410  0.250  0.095  1.0
  P  P26  1  0.123  0.250  0.587  1.0
  Sn  Sn27  1  0.006  0.750  0.719  1.0
[/CIF]
.