The structure described by Li4Cu3Sb(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(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Cu(2)O6 pentagonal pyramids, corners with two equivalent Cu(3)O6 pentagonal pyramids,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one Cu(1)O6 pentagonal pyramid,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(2), and one O(3) atom to form LiO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Cu(1)O6 pentagonal pyramids,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one Cu(2)O6 pentagonal pyramid,  an edgeedge with one Cu(3)O6 pentagonal pyramid,  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 55-69°. There are three inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(12), one O(4), two equivalent O(2), and two equivalent O(8) atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Cu(3)O6 pentagonal pyramids,  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 55-74°. In the second Cu site, Cu(2) is bonded to one O(3), one O(7), two equivalent O(11), and two equivalent O(5) atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Sb(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 53-74°. In the third Cu site, Cu(3) is bonded to one O(10), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Cu(1)O6 pentagonal pyramids,  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 58-73°. Sb(1) is bonded to one O(1), one O(9), two equivalent O(11), and two equivalent O(5) atoms to form distorted SbO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Cu(2)O6 pentagonal pyramids,  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 55-69°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Sb(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  a cornercorner with one Cu(3)O6 pentagonal pyramid, corners with two equivalent Cu(1)O6 pentagonal pyramids, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one Cu(3)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 55-56°. In the second P site, P(2) is bonded to one O(6), one O(9), and two equivalent O(5) atoms to form PO4 tetrahedra that share  a cornercorner with one Sb(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Cu(3)O6 pentagonal pyramid, corners with two equivalent Cu(2)O6 pentagonal pyramids,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the third P site, P(3) is bonded to one O(4), one O(7), and two equivalent O(8) atoms to form PO4 tetrahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Cu(1)O6 pentagonal pyramid,  a cornercorner with one Cu(2)O6 pentagonal pyramid, corners with two equivalent Cu(3)O6 pentagonal pyramids, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one Cu(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 56°. In the fourth P site, P(4) is bonded to one O(12), one O(3), and two equivalent O(11) atoms to form PO4 tetrahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Cu(1)O6 pentagonal pyramid,  a cornercorner with one Cu(2)O6 pentagonal pyramid, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one Cu(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 52-61°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Sb(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cu(1), one Cu(3), and one P(1) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to two equivalent Li(2), one Cu(2), and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Cu(1), and one P(3) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cu(2), one Sb(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal pyramidal geometry to two equivalent Li(1), one Cu(3), and one P(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Cu(2), and one P(3) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cu(1), one Cu(3), and one P(3) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to two equivalent Li(1), one Sb(1), and one P(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Cu(3), and one P(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(2), one Cu(2), one Sb(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Cu(1), and one P(4) atom. is represented by the CIF file [CIF]
data_Li4Cu3Sb(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.327
_cell_length_b   4.789
_cell_length_c   10.265
_cell_angle_alpha   88.254
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   310.860
_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  0.257  0.003  0.018  1.0
  Li  Li1  1  0.743  0.003  0.018  1.0
  Li  Li2  1  0.744  0.497  0.484  1.0
  Li  Li3  1  0.256  0.497  0.484  1.0
  Cu  Cu4  1  0.500  0.952  0.282  1.0
  Cu  Cu5  1  0.500  0.550  0.788  1.0
  Cu  Cu6  1  0.000  0.440  0.214  1.0
  Sb  Sb7  1  0.000  0.026  0.715  1.0
  P  P8  1  0.000  0.908  0.395  1.0
  P  P9  1  0.000  0.582  0.921  1.0
  P  P10  1  0.500  0.424  0.098  1.0
  P  P11  1  0.500  0.088  0.584  1.0
  O  O12  1  0.000  0.777  0.542  1.0
  O  O13  1  0.200  0.781  0.334  1.0
  O  O14  1  0.800  0.781  0.334  1.0
  O  O15  1  0.500  0.768  0.603  1.0
  O  O16  1  0.500  0.747  0.102  1.0
  O  O17  1  0.194  0.714  0.842  1.0
  O  O18  1  0.806  0.714  0.842  1.0
  O  O19  1  0.000  0.707  0.057  1.0
  O  O20  1  0.500  0.315  0.954  1.0
  O  O21  1  0.699  0.289  0.165  1.0
  O  O22  1  0.301  0.289  0.165  1.0
  O  O23  1  0.000  0.263  0.925  1.0
  O  O24  1  0.000  0.231  0.397  1.0
  O  O25  1  0.696  0.229  0.649  1.0
  O  O26  1  0.304  0.229  0.649  1.0
  O  O27  1  0.500  0.196  0.440  1.0
[/CIF]
.
The structure described by Li4Cu3Sb(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(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Cu(2)O6 pentagonal pyramids, corners with two equivalent Cu(3)O6 pentagonal pyramids,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one Cu(1)O6 pentagonal pyramid,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(2), and one O(3) atom to form LiO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Cu(1)O6 pentagonal pyramids,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one Cu(2)O6 pentagonal pyramid,  an edgeedge with one Cu(3)O6 pentagonal pyramid,  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 55-69°. There are three inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(12), one O(4), two equivalent O(2), and two equivalent O(8) atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Cu(3)O6 pentagonal pyramids,  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 55-74°. In the second Cu site, Cu(2) is bonded to one O(3), one O(7), two equivalent O(11), and two equivalent O(5) atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Sb(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 53-74°. In the third Cu site, Cu(3) is bonded to one O(10), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Cu(1)O6 pentagonal pyramids,  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 58-73°. Sb(1) is bonded to one O(1), one O(9), two equivalent O(11), and two equivalent O(5) atoms to form distorted SbO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Cu(2)O6 pentagonal pyramids,  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 55-69°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Sb(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  a cornercorner with one Cu(3)O6 pentagonal pyramid, corners with two equivalent Cu(1)O6 pentagonal pyramids, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one Cu(3)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 55-56°. In the second P site, P(2) is bonded to one O(6), one O(9), and two equivalent O(5) atoms to form PO4 tetrahedra that share  a cornercorner with one Sb(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Cu(3)O6 pentagonal pyramid, corners with two equivalent Cu(2)O6 pentagonal pyramids,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the third P site, P(3) is bonded to one O(4), one O(7), and two equivalent O(8) atoms to form PO4 tetrahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Cu(1)O6 pentagonal pyramid,  a cornercorner with one Cu(2)O6 pentagonal pyramid, corners with two equivalent Cu(3)O6 pentagonal pyramids, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one Cu(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 56°. In the fourth P site, P(4) is bonded to one O(12), one O(3), and two equivalent O(11) atoms to form PO4 tetrahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Cu(1)O6 pentagonal pyramid,  a cornercorner with one Cu(2)O6 pentagonal pyramid, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one Cu(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 52-61°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Sb(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cu(1), one Cu(3), and one P(1) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to two equivalent Li(2), one Cu(2), and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Cu(1), and one P(3) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cu(2), one Sb(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal pyramidal geometry to two equivalent Li(1), one Cu(3), and one P(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Cu(2), and one P(3) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cu(1), one Cu(3), and one P(3) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to two equivalent Li(1), one Sb(1), and one P(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Cu(3), and one P(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(2), one Cu(2), one Sb(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Cu(1), and one P(4) atom. is represented by the CIF file [CIF]
data_Li4Cu3Sb(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.327
_cell_length_b   4.789
_cell_length_c   10.265
_cell_angle_alpha   88.254
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   310.860
_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  0.257  0.003  0.018  1.0
  Li  Li1  1  0.743  0.003  0.018  1.0
  Li  Li2  1  0.744  0.497  0.484  1.0
  Li  Li3  1  0.256  0.497  0.484  1.0
  Cu  Cu4  1  0.500  0.952  0.282  1.0
  Cu  Cu5  1  0.500  0.550  0.788  1.0
  Cu  Cu6  1  0.000  0.440  0.214  1.0
  Sb  Sb7  1  0.000  0.026  0.715  1.0
  P  P8  1  0.000  0.908  0.395  1.0
  P  P9  1  0.000  0.582  0.921  1.0
  P  P10  1  0.500  0.424  0.098  1.0
  P  P11  1  0.500  0.088  0.584  1.0
  O  O12  1  0.000  0.777  0.542  1.0
  O  O13  1  0.200  0.781  0.334  1.0
  O  O14  1  0.800  0.781  0.334  1.0
  O  O15  1  0.500  0.768  0.603  1.0
  O  O16  1  0.500  0.747  0.102  1.0
  O  O17  1  0.194  0.714  0.842  1.0
  O  O18  1  0.806  0.714  0.842  1.0
  O  O19  1  0.000  0.707  0.057  1.0
  O  O20  1  0.500  0.315  0.954  1.0
  O  O21  1  0.699  0.289  0.165  1.0
  O  O22  1  0.301  0.289  0.165  1.0
  O  O23  1  0.000  0.263  0.925  1.0
  O  O24  1  0.000  0.231  0.397  1.0
  O  O25  1  0.696  0.229  0.649  1.0
  O  O26  1  0.304  0.229  0.649  1.0
  O  O27  1  0.500  0.196  0.440  1.0
[/CIF]
.