The crystal structure described by Li3Mn2(PO4)3 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(3), one O(4), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent P(1)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 64-69°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form MnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra, corners with three equivalent Li(1)O4 trigonal pyramids, and edges with three equivalent Li(1)O4 trigonal pyramids. In the second Mn site, Mn(2) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and corners with three equivalent Li(1)O4 trigonal pyramids. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and corners with four equivalent Li(1)O4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 27-50°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Mn(1), and one P(1) atom to form corner-sharing OLi2MnP tetrahedra. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Li(1), one Mn(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Li(1), one Mn(2), and one P(1) atom. is represented by the CIF card [CIF]
data_Li3Mn2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.059
_cell_length_b   9.059
_cell_length_c   9.059
_cell_angle_alpha   55.951
_cell_angle_beta   55.951
_cell_angle_gamma   55.951
_symmetry_Int_Tables_number   1
_cell_volume   476.424
_cell_formula_units_Z   2
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  0.736  0.078  0.338  1.0
  Li  Li1  1  0.264  0.922  0.662  1.0
  Li  Li2  1  0.338  0.736  0.078  1.0
  Li  Li3  1  0.922  0.662  0.264  1.0
  Li  Li4  1  0.078  0.338  0.736  1.0
  Li  Li5  1  0.662  0.264  0.922  1.0
  Mn  Mn6  1  0.347  0.347  0.347  1.0
  Mn  Mn7  1  0.653  0.653  0.653  1.0
  Mn  Mn8  1  0.146  0.146  0.146  1.0
  Mn  Mn9  1  0.854  0.854  0.854  1.0
  P  P10  1  0.459  0.044  0.747  1.0
  P  P11  1  0.541  0.956  0.253  1.0
  P  P12  1  0.253  0.541  0.956  1.0
  P  P13  1  0.956  0.253  0.541  1.0
  P  P14  1  0.044  0.747  0.459  1.0
  P  P15  1  0.747  0.459  0.044  1.0
  O  O16  1  0.542  0.153  0.209  1.0
  O  O17  1  0.389  0.988  0.201  1.0
  O  O18  1  0.167  0.532  0.495  1.0
  O  O19  1  0.458  0.847  0.791  1.0
  O  O20  1  0.505  0.833  0.468  1.0
  O  O21  1  0.833  0.468  0.505  1.0
  O  O22  1  0.863  0.128  0.747  1.0
  O  O23  1  0.253  0.137  0.872  1.0
  O  O24  1  0.153  0.209  0.542  1.0
  O  O25  1  0.468  0.505  0.833  1.0
  O  O26  1  0.012  0.799  0.611  1.0
  O  O27  1  0.611  0.012  0.799  1.0
  O  O28  1  0.209  0.542  0.153  1.0
  O  O29  1  0.128  0.747  0.863  1.0
  O  O30  1  0.847  0.791  0.458  1.0
  O  O31  1  0.495  0.167  0.532  1.0
  O  O32  1  0.201  0.389  0.988  1.0
  O  O33  1  0.791  0.458  0.847  1.0
  O  O34  1  0.988  0.201  0.389  1.0
  O  O35  1  0.799  0.611  0.012  1.0
  O  O36  1  0.872  0.253  0.137  1.0
  O  O37  1  0.747  0.863  0.128  1.0
  O  O38  1  0.532  0.495  0.167  1.0
  O  O39  1  0.137  0.872  0.253  1.0
[/CIF]
.
The crystal structure described by Li3Mn2(PO4)3 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(3), one O(4), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent P(1)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 64-69°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form MnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra, corners with three equivalent Li(1)O4 trigonal pyramids, and edges with three equivalent Li(1)O4 trigonal pyramids. In the second Mn site, Mn(2) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and corners with three equivalent Li(1)O4 trigonal pyramids. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and corners with four equivalent Li(1)O4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 27-50°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Mn(1), and one P(1) atom to form corner-sharing OLi2MnP tetrahedra. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Li(1), one Mn(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Li(1), one Mn(2), and one P(1) atom. is represented by the CIF card [CIF]
data_Li3Mn2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.059
_cell_length_b   9.059
_cell_length_c   9.059
_cell_angle_alpha   55.951
_cell_angle_beta   55.951
_cell_angle_gamma   55.951
_symmetry_Int_Tables_number   1
_cell_volume   476.424
_cell_formula_units_Z   2
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  0.736  0.078  0.338  1.0
  Li  Li1  1  0.264  0.922  0.662  1.0
  Li  Li2  1  0.338  0.736  0.078  1.0
  Li  Li3  1  0.922  0.662  0.264  1.0
  Li  Li4  1  0.078  0.338  0.736  1.0
  Li  Li5  1  0.662  0.264  0.922  1.0
  Mn  Mn6  1  0.347  0.347  0.347  1.0
  Mn  Mn7  1  0.653  0.653  0.653  1.0
  Mn  Mn8  1  0.146  0.146  0.146  1.0
  Mn  Mn9  1  0.854  0.854  0.854  1.0
  P  P10  1  0.459  0.044  0.747  1.0
  P  P11  1  0.541  0.956  0.253  1.0
  P  P12  1  0.253  0.541  0.956  1.0
  P  P13  1  0.956  0.253  0.541  1.0
  P  P14  1  0.044  0.747  0.459  1.0
  P  P15  1  0.747  0.459  0.044  1.0
  O  O16  1  0.542  0.153  0.209  1.0
  O  O17  1  0.389  0.988  0.201  1.0
  O  O18  1  0.167  0.532  0.495  1.0
  O  O19  1  0.458  0.847  0.791  1.0
  O  O20  1  0.505  0.833  0.468  1.0
  O  O21  1  0.833  0.468  0.505  1.0
  O  O22  1  0.863  0.128  0.747  1.0
  O  O23  1  0.253  0.137  0.872  1.0
  O  O24  1  0.153  0.209  0.542  1.0
  O  O25  1  0.468  0.505  0.833  1.0
  O  O26  1  0.012  0.799  0.611  1.0
  O  O27  1  0.611  0.012  0.799  1.0
  O  O28  1  0.209  0.542  0.153  1.0
  O  O29  1  0.128  0.747  0.863  1.0
  O  O30  1  0.847  0.791  0.458  1.0
  O  O31  1  0.495  0.167  0.532  1.0
  O  O32  1  0.201  0.389  0.988  1.0
  O  O33  1  0.791  0.458  0.847  1.0
  O  O34  1  0.988  0.201  0.389  1.0
  O  O35  1  0.799  0.611  0.012  1.0
  O  O36  1  0.872  0.253  0.137  1.0
  O  O37  1  0.747  0.863  0.128  1.0
  O  O38  1  0.532  0.495  0.167  1.0
  O  O39  1  0.137  0.872  0.253  1.0
[/CIF]
.