The material structure described by Li3In2(PO4)3 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(1), one O(4), and two equivalent O(3) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one In(1)O6 octahedra,  a cornercorner with one In(2)O6 octahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent P(1)O4 tetrahedra, and  an edgeedge with one In(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 65-67°. There are two inequivalent In sites. In the first In site, In(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form InO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with six equivalent P(1)O4 tetrahedra, and edges with three equivalent Li(1)O4 tetrahedra. In the second In site, In(2) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form InO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra and corners with six equivalent P(1)O4 tetrahedra. 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 In(1)O6 octahedra, corners with two equivalent In(2)O6 octahedra, and corners with four equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 24-53°. There are four inequivalent O sites. In the first O site, O(4) is bonded in a 3-coordinate geometry to one Li(1), one In(1), and one P(1) atom. In the second O site, O(1) is bonded in a trigonal planar geometry to one Li(1), one In(2), and one P(1) atom. In the third O site, O(2) is bonded in a bent 150 degrees geometry to one In(2) and one P(1) atom. In the fourth O site, O(3) is bonded to two equivalent Li(1), one In(1), and one P(1) atom to form corner-sharing OLi2InP tetrahedra. is represented by the CIF file [CIF]
data_Li3In2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.171
_cell_length_b   9.171
_cell_length_c   9.171
_cell_angle_alpha   55.291
_cell_angle_beta   55.291
_cell_angle_gamma   55.291
_symmetry_Int_Tables_number   1
_cell_volume   485.689
_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  0.928  0.664  0.268  1.0
  Li  Li1  1  0.664  0.268  0.928  1.0
  Li  Li2  1  0.268  0.928  0.664  1.0
  Li  Li3  1  0.072  0.336  0.732  1.0
  Li  Li4  1  0.336  0.732  0.072  1.0
  Li  Li5  1  0.732  0.072  0.336  1.0
  In  In6  1  0.346  0.346  0.346  1.0
  In  In7  1  0.654  0.654  0.654  1.0
  In  In8  1  0.854  0.854  0.854  1.0
  In  In9  1  0.146  0.146  0.146  1.0
  P  P10  1  0.046  0.750  0.451  1.0
  P  P11  1  0.750  0.451  0.046  1.0
  P  P12  1  0.451  0.046  0.750  1.0
  P  P13  1  0.954  0.250  0.549  1.0
  P  P14  1  0.250  0.549  0.954  1.0
  P  P15  1  0.549  0.954  0.250  1.0
  O  O16  1  0.846  0.139  0.751  1.0
  O  O17  1  0.139  0.751  0.846  1.0
  O  O18  1  0.751  0.846  0.139  1.0
  O  O19  1  0.154  0.861  0.249  1.0
  O  O20  1  0.403  0.996  0.191  1.0
  O  O21  1  0.191  0.403  0.996  1.0
  O  O22  1  0.996  0.191  0.403  1.0
  O  O23  1  0.597  0.004  0.809  1.0
  O  O24  1  0.809  0.597  0.004  1.0
  O  O25  1  0.004  0.809  0.597  1.0
  O  O26  1  0.443  0.856  0.797  1.0
  O  O27  1  0.797  0.443  0.856  1.0
  O  O28  1  0.856  0.797  0.443  1.0
  O  O29  1  0.557  0.144  0.203  1.0
  O  O30  1  0.203  0.557  0.144  1.0
  O  O31  1  0.144  0.203  0.557  1.0
  O  O32  1  0.501  0.844  0.465  1.0
  O  O33  1  0.465  0.501  0.844  1.0
  O  O34  1  0.844  0.465  0.501  1.0
  O  O35  1  0.499  0.156  0.535  1.0
  O  O36  1  0.535  0.499  0.156  1.0
  O  O37  1  0.156  0.535  0.499  1.0
  O  O38  1  0.249  0.154  0.861  1.0
  O  O39  1  0.861  0.249  0.154  1.0
[/CIF]
.
The material structure described by Li3In2(PO4)3 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(1), one O(4), and two equivalent O(3) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one In(1)O6 octahedra,  a cornercorner with one In(2)O6 octahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent P(1)O4 tetrahedra, and  an edgeedge with one In(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 65-67°. There are two inequivalent In sites. In the first In site, In(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form InO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with six equivalent P(1)O4 tetrahedra, and edges with three equivalent Li(1)O4 tetrahedra. In the second In site, In(2) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form InO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra and corners with six equivalent P(1)O4 tetrahedra. 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 In(1)O6 octahedra, corners with two equivalent In(2)O6 octahedra, and corners with four equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 24-53°. There are four inequivalent O sites. In the first O site, O(4) is bonded in a 3-coordinate geometry to one Li(1), one In(1), and one P(1) atom. In the second O site, O(1) is bonded in a trigonal planar geometry to one Li(1), one In(2), and one P(1) atom. In the third O site, O(2) is bonded in a bent 150 degrees geometry to one In(2) and one P(1) atom. In the fourth O site, O(3) is bonded to two equivalent Li(1), one In(1), and one P(1) atom to form corner-sharing OLi2InP tetrahedra. is represented by the CIF file [CIF]
data_Li3In2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.171
_cell_length_b   9.171
_cell_length_c   9.171
_cell_angle_alpha   55.291
_cell_angle_beta   55.291
_cell_angle_gamma   55.291
_symmetry_Int_Tables_number   1
_cell_volume   485.689
_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  0.928  0.664  0.268  1.0
  Li  Li1  1  0.664  0.268  0.928  1.0
  Li  Li2  1  0.268  0.928  0.664  1.0
  Li  Li3  1  0.072  0.336  0.732  1.0
  Li  Li4  1  0.336  0.732  0.072  1.0
  Li  Li5  1  0.732  0.072  0.336  1.0
  In  In6  1  0.346  0.346  0.346  1.0
  In  In7  1  0.654  0.654  0.654  1.0
  In  In8  1  0.854  0.854  0.854  1.0
  In  In9  1  0.146  0.146  0.146  1.0
  P  P10  1  0.046  0.750  0.451  1.0
  P  P11  1  0.750  0.451  0.046  1.0
  P  P12  1  0.451  0.046  0.750  1.0
  P  P13  1  0.954  0.250  0.549  1.0
  P  P14  1  0.250  0.549  0.954  1.0
  P  P15  1  0.549  0.954  0.250  1.0
  O  O16  1  0.846  0.139  0.751  1.0
  O  O17  1  0.139  0.751  0.846  1.0
  O  O18  1  0.751  0.846  0.139  1.0
  O  O19  1  0.154  0.861  0.249  1.0
  O  O20  1  0.403  0.996  0.191  1.0
  O  O21  1  0.191  0.403  0.996  1.0
  O  O22  1  0.996  0.191  0.403  1.0
  O  O23  1  0.597  0.004  0.809  1.0
  O  O24  1  0.809  0.597  0.004  1.0
  O  O25  1  0.004  0.809  0.597  1.0
  O  O26  1  0.443  0.856  0.797  1.0
  O  O27  1  0.797  0.443  0.856  1.0
  O  O28  1  0.856  0.797  0.443  1.0
  O  O29  1  0.557  0.144  0.203  1.0
  O  O30  1  0.203  0.557  0.144  1.0
  O  O31  1  0.144  0.203  0.557  1.0
  O  O32  1  0.501  0.844  0.465  1.0
  O  O33  1  0.465  0.501  0.844  1.0
  O  O34  1  0.844  0.465  0.501  1.0
  O  O35  1  0.499  0.156  0.535  1.0
  O  O36  1  0.535  0.499  0.156  1.0
  O  O37  1  0.156  0.535  0.499  1.0
  O  O38  1  0.249  0.154  0.861  1.0
  O  O39  1  0.861  0.249  0.154  1.0
[/CIF]
.