The compound described by Mn3(PO4)4 crystallizes in the monoclinic P2_1 space group. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(14), one O(2), one O(3), one O(4), and one O(9) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, and corners with two equivalent P(2)O4 tetrahedra. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(13), one O(15), and one O(8) atom to form MnO5 square pyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(1), one O(10), one O(16), one O(5), and one O(7) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and corners with two equivalent P(4)O4 tetrahedra. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(15), one O(5), one O(6), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid, and  a cornercorner with one Mn(3)O5 trigonal bipyramid. In the second P site, P(2) is bonded to one O(14), one O(4), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(3)O5 trigonal bipyramid, and corners with two equivalent Mn(1)O5 trigonal bipyramids. In the third P site, P(3) is bonded to one O(10), one O(12), one O(13), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(1)O5 trigonal bipyramid,  a cornercorner with one Mn(3)O5 trigonal bipyramid, and  an edgeedge with one Mn(2)O5 square pyramid. In the fourth P site, P(4) is bonded to one O(1), one O(11), one O(16), and one O(3) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid, and corners with two equivalent Mn(3)O5 trigonal bipyramids. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Mn(3) and one P(4) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(3) atom. In the third O site, O(3) is bonded in a distorted bent 120 degrees geometry to one Mn(1) and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one Mn(1) and one P(2) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(1) atom. In the sixth O site, O(6) is bonded in a single-bond geometry to one P(1) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one Mn(1) and one P(1) atom. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one Mn(3) and one P(3) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(4) atom. In the twelfth O site, O(12) is bonded in an L-shaped geometry to one Mn(2) and one P(3) atom. In the thirteenth O site, O(13) is bonded in an L-shaped geometry to one Mn(2) and one P(3) atom. In the fourteenth O site, O(14) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(2) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 120 degrees geometry to one Mn(2) and one P(1) atom. In the sixteenth O site, O(16) is bonded in a bent 120 degrees geometry to one Mn(3) and one P(4) atom. is represented by the CIF file [CIF]
data_Mn3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.242
_cell_length_b   13.370
_cell_length_c   5.928
_cell_angle_alpha   90.000
_cell_angle_beta   99.088
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   645.056
_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
  Mn  Mn0  1  0.286  0.563  0.191  1.0
  Mn  Mn1  1  0.714  0.063  0.309  1.0
  Mn  Mn2  1  0.686  0.794  0.872  1.0
  Mn  Mn3  1  0.726  0.429  0.848  1.0
  Mn  Mn4  1  0.274  0.929  0.652  1.0
  Mn  Mn5  1  0.314  0.294  0.628  1.0
  P  P6  1  0.090  0.122  0.355  1.0
  P  P7  1  0.428  0.597  0.730  1.0
  P  P8  1  0.887  0.873  0.621  1.0
  P  P9  1  0.572  0.097  0.770  1.0
  P  P10  1  0.582  0.409  0.327  1.0
  P  P11  1  0.910  0.622  0.145  1.0
  P  P12  1  0.113  0.373  0.879  1.0
  P  P13  1  0.418  0.909  0.173  1.0
  O  O14  1  0.342  0.869  0.378  1.0
  O  O15  1  0.831  0.943  0.415  1.0
  O  O16  1  0.495  0.013  0.245  1.0
  O  O17  1  0.692  0.113  0.596  1.0
  O  O18  1  0.847  0.554  0.943  1.0
  O  O19  1  0.658  0.369  0.122  1.0
  O  O20  1  0.108  0.078  0.122  1.0
  O  O21  1  0.512  0.494  0.770  1.0
  O  O22  1  0.488  0.994  0.730  1.0
  O  O23  1  0.459  0.188  0.757  1.0
  O  O24  1  0.505  0.513  0.255  1.0
  O  O25  1  0.541  0.688  0.743  1.0
  O  O26  1  0.906  0.147  0.355  1.0
  O  O27  1  0.070  0.850  0.621  1.0
  O  O28  1  0.455  0.337  0.401  1.0
  O  O29  1  0.834  0.910  0.850  1.0
  O  O30  1  0.169  0.443  0.085  1.0
  O  O31  1  0.214  0.273  0.898  1.0
  O  O32  1  0.311  0.603  0.497  1.0
  O  O33  1  0.153  0.054  0.557  1.0
  O  O34  1  0.892  0.578  0.378  1.0
  O  O35  1  0.930  0.350  0.879  1.0
  O  O36  1  0.094  0.647  0.145  1.0
  O  O37  1  0.186  0.222  0.375  1.0
  O  O38  1  0.786  0.773  0.602  1.0
  O  O39  1  0.545  0.837  0.099  1.0
  O  O40  1  0.728  0.420  0.526  1.0
  O  O41  1  0.689  0.103  0.003  1.0
  O  O42  1  0.308  0.613  0.904  1.0
  O  O43  1  0.166  0.410  0.650  1.0
  O  O44  1  0.272  0.920  0.974  1.0
  O  O45  1  0.814  0.722  0.125  1.0
[/CIF]
.
The compound described by Mn3(PO4)4 crystallizes in the monoclinic P2_1 space group. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(14), one O(2), one O(3), one O(4), and one O(9) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, and corners with two equivalent P(2)O4 tetrahedra. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(13), one O(15), and one O(8) atom to form MnO5 square pyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(1), one O(10), one O(16), one O(5), and one O(7) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and corners with two equivalent P(4)O4 tetrahedra. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(15), one O(5), one O(6), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid, and  a cornercorner with one Mn(3)O5 trigonal bipyramid. In the second P site, P(2) is bonded to one O(14), one O(4), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(3)O5 trigonal bipyramid, and corners with two equivalent Mn(1)O5 trigonal bipyramids. In the third P site, P(3) is bonded to one O(10), one O(12), one O(13), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(1)O5 trigonal bipyramid,  a cornercorner with one Mn(3)O5 trigonal bipyramid, and  an edgeedge with one Mn(2)O5 square pyramid. In the fourth P site, P(4) is bonded to one O(1), one O(11), one O(16), and one O(3) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid, and corners with two equivalent Mn(3)O5 trigonal bipyramids. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Mn(3) and one P(4) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(3) atom. In the third O site, O(3) is bonded in a distorted bent 120 degrees geometry to one Mn(1) and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one Mn(1) and one P(2) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(1) atom. In the sixth O site, O(6) is bonded in a single-bond geometry to one P(1) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one Mn(1) and one P(1) atom. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one Mn(3) and one P(3) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(4) atom. In the twelfth O site, O(12) is bonded in an L-shaped geometry to one Mn(2) and one P(3) atom. In the thirteenth O site, O(13) is bonded in an L-shaped geometry to one Mn(2) and one P(3) atom. In the fourteenth O site, O(14) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(2) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 120 degrees geometry to one Mn(2) and one P(1) atom. In the sixteenth O site, O(16) is bonded in a bent 120 degrees geometry to one Mn(3) and one P(4) atom. is represented by the CIF file [CIF]
data_Mn3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.242
_cell_length_b   13.370
_cell_length_c   5.928
_cell_angle_alpha   90.000
_cell_angle_beta   99.088
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   645.056
_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
  Mn  Mn0  1  0.286  0.563  0.191  1.0
  Mn  Mn1  1  0.714  0.063  0.309  1.0
  Mn  Mn2  1  0.686  0.794  0.872  1.0
  Mn  Mn3  1  0.726  0.429  0.848  1.0
  Mn  Mn4  1  0.274  0.929  0.652  1.0
  Mn  Mn5  1  0.314  0.294  0.628  1.0
  P  P6  1  0.090  0.122  0.355  1.0
  P  P7  1  0.428  0.597  0.730  1.0
  P  P8  1  0.887  0.873  0.621  1.0
  P  P9  1  0.572  0.097  0.770  1.0
  P  P10  1  0.582  0.409  0.327  1.0
  P  P11  1  0.910  0.622  0.145  1.0
  P  P12  1  0.113  0.373  0.879  1.0
  P  P13  1  0.418  0.909  0.173  1.0
  O  O14  1  0.342  0.869  0.378  1.0
  O  O15  1  0.831  0.943  0.415  1.0
  O  O16  1  0.495  0.013  0.245  1.0
  O  O17  1  0.692  0.113  0.596  1.0
  O  O18  1  0.847  0.554  0.943  1.0
  O  O19  1  0.658  0.369  0.122  1.0
  O  O20  1  0.108  0.078  0.122  1.0
  O  O21  1  0.512  0.494  0.770  1.0
  O  O22  1  0.488  0.994  0.730  1.0
  O  O23  1  0.459  0.188  0.757  1.0
  O  O24  1  0.505  0.513  0.255  1.0
  O  O25  1  0.541  0.688  0.743  1.0
  O  O26  1  0.906  0.147  0.355  1.0
  O  O27  1  0.070  0.850  0.621  1.0
  O  O28  1  0.455  0.337  0.401  1.0
  O  O29  1  0.834  0.910  0.850  1.0
  O  O30  1  0.169  0.443  0.085  1.0
  O  O31  1  0.214  0.273  0.898  1.0
  O  O32  1  0.311  0.603  0.497  1.0
  O  O33  1  0.153  0.054  0.557  1.0
  O  O34  1  0.892  0.578  0.378  1.0
  O  O35  1  0.930  0.350  0.879  1.0
  O  O36  1  0.094  0.647  0.145  1.0
  O  O37  1  0.186  0.222  0.375  1.0
  O  O38  1  0.786  0.773  0.602  1.0
  O  O39  1  0.545  0.837  0.099  1.0
  O  O40  1  0.728  0.420  0.526  1.0
  O  O41  1  0.689  0.103  0.003  1.0
  O  O42  1  0.308  0.613  0.904  1.0
  O  O43  1  0.166  0.410  0.650  1.0
  O  O44  1  0.272  0.920  0.974  1.0
  O  O45  1  0.814  0.722  0.125  1.0
[/CIF]
.