The crystal structure described by Li2Mg2MnFe(PO4)4 crystallizes in the triclinic P1 space group. There are two 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 distorted LiO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-71°. In the second Li site, Li(2) is bonded to one O(1), one O(13), one O(15), one O(16), one O(2), and one O(4) atom to form distorted LiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  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 55-71°. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(10), one O(11), one O(16), one O(2), one O(3), and one O(5) atom to form MgO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra,  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, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-71°. In the second Mg site, Mg(2) is bonded to one O(14), one O(15), one O(4), one O(6), one O(7), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Fe(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,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-71°. Mn(1) is bonded to one O(10), one O(11), one O(13), one O(2), one O(3), and one O(8) atom to form distorted MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one P(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-65°. Fe(1) is bonded to one O(1), one O(12), one O(14), one O(15), one O(6), and one O(7) atom to form distorted FeO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-62°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(13), one O(2), and one O(3) atom to form PO4 tetrahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-58°. In the second P site, P(2) is bonded to one O(12), one O(6), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-59°. In the third P site, P(3) is bonded to one O(10), one O(11), one O(5), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-55°. In the fourth P site, P(4) is bonded to one O(14), one O(15), one O(16), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Li(2), one Fe(1), and one P(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(2), one Mg(1), one Mn(1), and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(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(2), one Mg(2), and one P(4) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Li(1), one Mg(1), and one P(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(2), one Fe(1), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted tetrahedral geometry to one Li(1), one Mg(2), one Fe(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Li(1), one Mn(1), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Li(1), one Mg(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 Mg(1), one Mn(1), and one P(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mg(1), one Mn(1), and one P(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Li(1), one Fe(1), and one P(2) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Li(2), one Mn(1), and one P(1) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Mg(2), one Fe(1), and one P(4) atom. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mg(2), one Fe(1), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Li(2), one Mg(1), and one P(4) atom. is represented by the CIF file [CIF]
data_Li2Mg2MnFe(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.831
_cell_length_b   5.975
_cell_length_c   10.096
_cell_angle_alpha   90.032
_cell_angle_beta   90.749
_cell_angle_gamma   90.390
_symmetry_Int_Tables_number   1
_cell_volume   291.393
_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
  Fe  Fe0  1  0.972  0.250  0.723  1.0
  Li  Li1  1  0.003  0.534  0.997  1.0
  Li  Li2  1  0.492  0.966  0.495  1.0
  Mg  Mg3  1  0.027  0.750  0.280  1.0
  Mg  Mg4  1  0.476  0.750  0.777  1.0
  Mn  Mn5  1  0.554  0.249  0.217  1.0
  O  O6  1  0.156  0.250  0.550  1.0
  O  O7  1  0.234  0.041  0.338  1.0
  O  O8  1  0.219  0.450  0.327  1.0
  O  O9  1  0.237  0.763  0.610  1.0
  O  O10  1  0.259  0.737  0.109  1.0
  O  O11  1  0.276  0.053  0.827  1.0
  O  O12  1  0.260  0.455  0.838  1.0
  O  O13  1  0.340  0.250  0.053  1.0
  O  O14  1  0.673  0.746  0.953  1.0
  O  O15  1  0.727  0.545  0.167  1.0
  O  O16  1  0.708  0.948  0.176  1.0
  O  O17  1  0.731  0.262  0.886  1.0
  O  O18  1  0.767  0.239  0.381  1.0
  O  O19  1  0.795  0.549  0.677  1.0
  O  O20  1  0.776  0.958  0.669  1.0
  O  O21  1  0.817  0.755  0.454  1.0
  P  P22  1  0.089  0.250  0.400  1.0
  P  P23  1  0.417  0.250  0.904  1.0
  P  P24  1  0.572  0.749  0.096  1.0
  P  P25  1  0.923  0.751  0.597  1.0
[/CIF]
.
The crystal structure described by Li2Mg2MnFe(PO4)4 crystallizes in the triclinic P1 space group. There are two 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 distorted LiO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-71°. In the second Li site, Li(2) is bonded to one O(1), one O(13), one O(15), one O(16), one O(2), and one O(4) atom to form distorted LiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  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 55-71°. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(10), one O(11), one O(16), one O(2), one O(3), and one O(5) atom to form MgO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra,  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, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-71°. In the second Mg site, Mg(2) is bonded to one O(14), one O(15), one O(4), one O(6), one O(7), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Fe(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,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-71°. Mn(1) is bonded to one O(10), one O(11), one O(13), one O(2), one O(3), and one O(8) atom to form distorted MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one P(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-65°. Fe(1) is bonded to one O(1), one O(12), one O(14), one O(15), one O(6), and one O(7) atom to form distorted FeO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-62°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(13), one O(2), and one O(3) atom to form PO4 tetrahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-58°. In the second P site, P(2) is bonded to one O(12), one O(6), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-59°. In the third P site, P(3) is bonded to one O(10), one O(11), one O(5), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, and  an edgeedge with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-55°. In the fourth P site, P(4) is bonded to one O(14), one O(15), one O(16), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, and  an edgeedge with one Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Li(2), one Fe(1), and one P(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(2), one Mg(1), one Mn(1), and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(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(2), one Mg(2), and one P(4) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Li(1), one Mg(1), and one P(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(2), one Fe(1), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted tetrahedral geometry to one Li(1), one Mg(2), one Fe(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Li(1), one Mn(1), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Li(1), one Mg(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 Mg(1), one Mn(1), and one P(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mg(1), one Mn(1), and one P(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Li(1), one Fe(1), and one P(2) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Li(2), one Mn(1), and one P(1) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Mg(2), one Fe(1), and one P(4) atom. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mg(2), one Fe(1), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Li(2), one Mg(1), and one P(4) atom. is represented by the CIF file [CIF]
data_Li2Mg2MnFe(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.831
_cell_length_b   5.975
_cell_length_c   10.096
_cell_angle_alpha   90.032
_cell_angle_beta   90.749
_cell_angle_gamma   90.390
_symmetry_Int_Tables_number   1
_cell_volume   291.393
_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
  Fe  Fe0  1  0.972  0.250  0.723  1.0
  Li  Li1  1  0.003  0.534  0.997  1.0
  Li  Li2  1  0.492  0.966  0.495  1.0
  Mg  Mg3  1  0.027  0.750  0.280  1.0
  Mg  Mg4  1  0.476  0.750  0.777  1.0
  Mn  Mn5  1  0.554  0.249  0.217  1.0
  O  O6  1  0.156  0.250  0.550  1.0
  O  O7  1  0.234  0.041  0.338  1.0
  O  O8  1  0.219  0.450  0.327  1.0
  O  O9  1  0.237  0.763  0.610  1.0
  O  O10  1  0.259  0.737  0.109  1.0
  O  O11  1  0.276  0.053  0.827  1.0
  O  O12  1  0.260  0.455  0.838  1.0
  O  O13  1  0.340  0.250  0.053  1.0
  O  O14  1  0.673  0.746  0.953  1.0
  O  O15  1  0.727  0.545  0.167  1.0
  O  O16  1  0.708  0.948  0.176  1.0
  O  O17  1  0.731  0.262  0.886  1.0
  O  O18  1  0.767  0.239  0.381  1.0
  O  O19  1  0.795  0.549  0.677  1.0
  O  O20  1  0.776  0.958  0.669  1.0
  O  O21  1  0.817  0.755  0.454  1.0
  P  P22  1  0.089  0.250  0.400  1.0
  P  P23  1  0.417  0.250  0.904  1.0
  P  P24  1  0.572  0.749  0.096  1.0
  P  P25  1  0.923  0.751  0.597  1.0
[/CIF]
.