The structure described by Li5CrMn3(PO4)4 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(12), one O(5), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one Mn(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(10), one O(11), one O(6), one O(7), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one Mn(1)O6 pentagonal pyramid,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(13), one O(2), and one O(6) atom. In the fourth Li site, Li(4) is bonded to one O(1), one O(14), one O(15), one O(16), and one O(3) atom to form distorted LiO5 square pyramids that share corners with two equivalent Mn(1)O6 pentagonal pyramids,  a cornercorner with one P(1)O4 tetrahedra,  an edgeedge with one P(1)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. In the fifth Li site, Li(5) is bonded in a rectangular see-saw-like geometry to one O(11), one O(15), one O(16), and one O(4) atom. Cr(1) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(13), one O(14), and one O(5) atom. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(12), one O(16), one O(3), one O(4), and one O(7) atom to form distorted MnO6 pentagonal pyramids that share corners with two equivalent Li(4)O5 square 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,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(13), one O(14), one O(2), one O(5), one O(6), and one O(9) atom. In the third Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(15), one O(3), one O(4), and one O(8) atom. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(15), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Mn(1)O6 pentagonal pyramids,  a cornercorner with one Li(4)O5 square pyramid, and  an edgeedge with one Li(4)O5 square pyramid. In the second P site, P(2) is bonded to one O(10), one O(5), one O(6), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. In the third P site, P(3) is bonded to one O(11), one O(12), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 pentagonal pyramid,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 52-59°. In the fourth P site, P(4) is bonded to one O(13), one O(14), one O(16), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(1)O6 pentagonal pyramid and  an edgeedge with one Li(4)O5 square pyramid. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(3), one Li(4), one Cr(1), and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(3), one Mn(2), and one P(4) atom. In the third O site, O(3) is bonded to one Li(4), one Mn(1), one Mn(3), and one P(1) atom to form distorted OLiMn2P trigonal pyramids that share  a cornercorner with one O(14)LiMnCrP tetrahedra and corners with two equivalent O(12)LiMn2P trigonal pyramids. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(5), one Mn(1), one Mn(3), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(1), one Mn(2), and one P(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(2), one Li(3), one Mn(2), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(2), one Mn(1), and one P(3) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(2), one Mn(3), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(2), one Mn(2), and one P(3) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(2), one Cr(1), and one P(2) atom. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Li(2), one Li(5), one Mn(1), one Mn(3), and one P(3) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Mn(1), one Mn(3), and one P(3) atom to form distorted corner-sharing OLiMn2P trigonal pyramids. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Li(3), one Cr(1), one Mn(2), and one P(4) atom. In the fourteenth O site, O(14) is bonded to one Li(4), one Cr(1), one Mn(2), and one P(4) atom to form distorted corner-sharing OLiMnCrP tetrahedra. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Mn(3), and one P(1) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Mn(1), and one P(4) atom. is represented by the CIF card [CIF]
data_Li5Mn3Cr(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.881
_cell_length_b   6.390
_cell_length_c   10.589
_cell_angle_alpha   92.239
_cell_angle_beta   91.610
_cell_angle_gamma   90.303
_symmetry_Int_Tables_number   1
_cell_volume   329.898
_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  0.997  0.010  0.001  1.0
  Li  Li1  1  0.002  0.495  0.004  1.0
  Li  Li2  1  0.625  0.453  0.360  1.0
  Li  Li3  1  0.466  0.026  0.505  1.0
  Li  Li4  1  0.385  0.526  0.621  1.0
  Mn  Mn5  1  0.938  0.769  0.719  1.0
  Mn  Mn6  1  0.530  0.775  0.211  1.0
  Mn  Mn7  1  0.459  0.231  0.797  1.0
  Cr  Cr8  1  0.099  0.232  0.284  1.0
  P  P9  1  0.885  0.255  0.599  1.0
  P  P10  1  0.586  0.255  0.090  1.0
  P  P11  1  0.402  0.747  0.902  1.0
  P  P12  1  0.109  0.741  0.406  1.0
  O  O13  1  0.777  0.239  0.461  1.0
  O  O14  1  0.794  0.736  0.388  1.0
  O  O15  1  0.752  0.064  0.668  1.0
  O  O16  1  0.764  0.456  0.667  1.0
  O  O17  1  0.710  0.056  0.151  1.0
  O  O18  1  0.694  0.453  0.169  1.0
  O  O19  1  0.717  0.761  0.901  1.0
  O  O20  1  0.722  0.264  0.957  1.0
  O  O21  1  0.283  0.737  0.036  1.0
  O  O22  1  0.272  0.247  0.073  1.0
  O  O23  1  0.286  0.555  0.820  1.0
  O  O24  1  0.263  0.941  0.839  1.0
  O  O25  1  0.248  0.549  0.343  1.0
  O  O26  1  0.247  0.932  0.345  1.0
  O  O27  1  0.202  0.251  0.613  1.0
  O  O28  1  0.192  0.757  0.551  1.0
[/CIF]
.
The structure described by Li5CrMn3(PO4)4 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(12), one O(5), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one Mn(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(10), one O(11), one O(6), one O(7), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one Mn(1)O6 pentagonal pyramid,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(13), one O(2), and one O(6) atom. In the fourth Li site, Li(4) is bonded to one O(1), one O(14), one O(15), one O(16), and one O(3) atom to form distorted LiO5 square pyramids that share corners with two equivalent Mn(1)O6 pentagonal pyramids,  a cornercorner with one P(1)O4 tetrahedra,  an edgeedge with one P(1)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. In the fifth Li site, Li(5) is bonded in a rectangular see-saw-like geometry to one O(11), one O(15), one O(16), and one O(4) atom. Cr(1) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(13), one O(14), and one O(5) atom. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(12), one O(16), one O(3), one O(4), and one O(7) atom to form distorted MnO6 pentagonal pyramids that share corners with two equivalent Li(4)O5 square 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,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(13), one O(14), one O(2), one O(5), one O(6), and one O(9) atom. In the third Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(15), one O(3), one O(4), and one O(8) atom. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(15), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Mn(1)O6 pentagonal pyramids,  a cornercorner with one Li(4)O5 square pyramid, and  an edgeedge with one Li(4)O5 square pyramid. In the second P site, P(2) is bonded to one O(10), one O(5), one O(6), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. In the third P site, P(3) is bonded to one O(11), one O(12), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 pentagonal pyramid,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 52-59°. In the fourth P site, P(4) is bonded to one O(13), one O(14), one O(16), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(1)O6 pentagonal pyramid and  an edgeedge with one Li(4)O5 square pyramid. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(3), one Li(4), one Cr(1), and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(3), one Mn(2), and one P(4) atom. In the third O site, O(3) is bonded to one Li(4), one Mn(1), one Mn(3), and one P(1) atom to form distorted OLiMn2P trigonal pyramids that share  a cornercorner with one O(14)LiMnCrP tetrahedra and corners with two equivalent O(12)LiMn2P trigonal pyramids. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(5), one Mn(1), one Mn(3), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(1), one Mn(2), and one P(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(2), one Li(3), one Mn(2), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(2), one Mn(1), and one P(3) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(2), one Mn(3), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(2), one Mn(2), and one P(3) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(2), one Cr(1), and one P(2) atom. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Li(2), one Li(5), one Mn(1), one Mn(3), and one P(3) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Mn(1), one Mn(3), and one P(3) atom to form distorted corner-sharing OLiMn2P trigonal pyramids. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Li(3), one Cr(1), one Mn(2), and one P(4) atom. In the fourteenth O site, O(14) is bonded to one Li(4), one Cr(1), one Mn(2), and one P(4) atom to form distorted corner-sharing OLiMnCrP tetrahedra. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Mn(3), and one P(1) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Mn(1), and one P(4) atom. is represented by the CIF card [CIF]
data_Li5Mn3Cr(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.881
_cell_length_b   6.390
_cell_length_c   10.589
_cell_angle_alpha   92.239
_cell_angle_beta   91.610
_cell_angle_gamma   90.303
_symmetry_Int_Tables_number   1
_cell_volume   329.898
_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  0.997  0.010  0.001  1.0
  Li  Li1  1  0.002  0.495  0.004  1.0
  Li  Li2  1  0.625  0.453  0.360  1.0
  Li  Li3  1  0.466  0.026  0.505  1.0
  Li  Li4  1  0.385  0.526  0.621  1.0
  Mn  Mn5  1  0.938  0.769  0.719  1.0
  Mn  Mn6  1  0.530  0.775  0.211  1.0
  Mn  Mn7  1  0.459  0.231  0.797  1.0
  Cr  Cr8  1  0.099  0.232  0.284  1.0
  P  P9  1  0.885  0.255  0.599  1.0
  P  P10  1  0.586  0.255  0.090  1.0
  P  P11  1  0.402  0.747  0.902  1.0
  P  P12  1  0.109  0.741  0.406  1.0
  O  O13  1  0.777  0.239  0.461  1.0
  O  O14  1  0.794  0.736  0.388  1.0
  O  O15  1  0.752  0.064  0.668  1.0
  O  O16  1  0.764  0.456  0.667  1.0
  O  O17  1  0.710  0.056  0.151  1.0
  O  O18  1  0.694  0.453  0.169  1.0
  O  O19  1  0.717  0.761  0.901  1.0
  O  O20  1  0.722  0.264  0.957  1.0
  O  O21  1  0.283  0.737  0.036  1.0
  O  O22  1  0.272  0.247  0.073  1.0
  O  O23  1  0.286  0.555  0.820  1.0
  O  O24  1  0.263  0.941  0.839  1.0
  O  O25  1  0.248  0.549  0.343  1.0
  O  O26  1  0.247  0.932  0.345  1.0
  O  O27  1  0.202  0.251  0.613  1.0
  O  O28  1  0.192  0.757  0.551  1.0
[/CIF]
.