The compound described by MgLa4Ga2(FeO6)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(12), one O(2), one O(8), and one O(9) atom to form MgO4 tetrahedra that share  a cornercorner with one Ga(1)O6 octahedra and corners with two equivalent Fe(1)O4 trigonal pyramids. The corner-sharing octahedral tilt angles are 11°. There are four inequivalent La sites. In the first La site, La(1) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(12), one O(2), one O(5), one O(6), and one O(9) atom. In the second La site, La(2) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(11), one O(12), one O(2), one O(5), and one O(6) atom. In the third La site, La(3) is bonded in a 7-coordinate geometry to one O(10), one O(3), one O(4), one O(5), one O(7), one O(8), and one O(9) atom. In the fourth La site, La(4) is bonded in a 6-coordinate geometry to one O(10), one O(3), one O(4), one O(6), one O(7), one O(8), and one O(9) atom. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(12), one O(4), one O(5), and one O(9) atom to form distorted FeO4 trigonal pyramids that share  a cornercorner with one Ga(1)O6 octahedra and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 32°. In the second Fe site, Fe(2) is bonded to one O(10), one O(11), one O(3), one O(6), and one O(7) atom to form FeO5 square pyramids that share corners with four equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 21-42°. There are two inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(10), one O(11), one O(2), one O(4), one O(6), and one O(7) atom to form GaO6 octahedra that share corners with four equivalent Fe(2)O5 square pyramids,  a cornercorner with one Mg(1)O4 tetrahedra, and  a cornercorner with one Fe(1)O4 trigonal pyramid. In the second Ga site, Ga(2) is bonded in a 4-coordinate geometry to one O(1), one O(3), one O(5), one O(8), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one La(1), one La(2), and one Ga(2) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Mg(1), one La(1), one La(2), and one Ga(1) atom. In the third O site, O(3) is bonded to one La(3), one La(4), one Fe(2), and one Ga(2) atom to form distorted OLa2GaFe tetrahedra that share corners with three equivalent O(10)La3GaFe square pyramids,  a cornercorner with one O(11)La2GaFe trigonal pyramid,  an edgeedge with one O(5)La3GaFe trigonal bipyramid, and  an edgeedge with one O(6)La3GaFe trigonal bipyramid. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one La(3), one La(4), one Fe(1), and one Ga(1) atom. In the fifth O site, O(5) is bonded to one La(1), one La(2), one La(3), one Fe(1), and one Ga(2) atom to form distorted OLa3GaFe trigonal bipyramids that share corners with two equivalent O(10)La3GaFe square pyramids, corners with two equivalent O(6)La3GaFe trigonal bipyramids,  an edgeedge with one O(3)La2GaFe tetrahedra, and  an edgeedge with one O(11)La2GaFe trigonal pyramid. In the sixth O site, O(6) is bonded to one La(1), one La(2), one La(4), one Fe(2), and one Ga(1) atom to form distorted OLa3GaFe trigonal bipyramids that share corners with two equivalent O(10)La3GaFe square pyramids, corners with two equivalent O(5)La3GaFe trigonal bipyramids,  an edgeedge with one O(10)La3GaFe square pyramid,  an edgeedge with one O(3)La2GaFe tetrahedra, and edges with two equivalent O(11)La2GaFe trigonal pyramids. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one La(3), one La(4), one Fe(2), and one Ga(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Mg(1), one La(3), one La(4), and one Ga(2) atom. In the ninth O site, O(9) is bonded in a 6-coordinate geometry to one Mg(1), one La(1), one La(3), one La(4), one Fe(1), and one Ga(2) atom. In the tenth O site, O(10) is bonded to one La(2), one La(3), one La(4), one Fe(2), and one Ga(1) atom to form distorted OLa3GaFe square pyramids that share corners with three equivalent O(3)La2GaFe tetrahedra, corners with two equivalent O(5)La3GaFe trigonal bipyramids, corners with two equivalent O(6)La3GaFe trigonal bipyramids,  a cornercorner with one O(11)La2GaFe trigonal pyramid,  an edgeedge with one O(6)La3GaFe trigonal bipyramid, and  an edgeedge with one O(11)La2GaFe trigonal pyramid. In the eleventh O site, O(11) is bonded to one La(1), one La(2), one Fe(2), and one Ga(1) atom to form distorted OLa2GaFe trigonal pyramids that share  a cornercorner with one O(10)La3GaFe square pyramid,  a cornercorner with one O(3)La2GaFe tetrahedra,  an edgeedge with one O(10)La3GaFe square pyramid,  an edgeedge with one O(5)La3GaFe trigonal bipyramid, and edges with two equivalent O(6)La3GaFe trigonal bipyramids. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Mg(1), one La(1), one La(2), and one Fe(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_La4MgGa2(FeO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.951
_cell_length_b   5.667
_cell_length_c   8.568
_cell_angle_alpha   84.191
_cell_angle_beta   91.698
_cell_angle_gamma   94.969
_symmetry_Int_Tables_number   1
_cell_volume   286.316
_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
  La  La0  1  0.434  0.469  0.730  1.0
  La  La1  1  0.892  0.070  0.801  1.0
  La  La2  1  0.562  0.539  0.250  1.0
  La  La3  1  0.065  0.998  0.215  1.0
  Mg  Mg4  1  0.088  0.813  0.570  1.0
  Ga  Ga5  1  0.017  0.539  1.000  1.0
  Ga  Ga6  1  0.577  0.004  0.481  1.0
  Fe  Fe7  1  0.020  0.391  0.449  1.0
  Fe  Fe8  1  0.488  0.033  0.025  1.0
  O  O9  1  0.544  0.874  0.693  1.0
  O  O10  1  0.044  0.646  0.779  1.0
  O  O11  1  0.459  0.115  0.278  1.0
  O  O12  1  0.945  0.401  0.217  1.0
  O  O13  1  0.702  0.311  0.538  1.0
  O  O14  1  0.184  0.245  0.966  1.0
  O  O15  1  0.290  0.734  0.073  1.0
  O  O16  1  0.814  0.825  0.418  1.0
  O  O17  1  0.288  0.651  0.447  1.0
  O  O18  1  0.800  0.810  0.045  1.0
  O  O19  1  0.681  0.317  0.935  1.0
  O  O20  1  0.165  0.155  0.596  1.0
[/CIF]
.
The compound described by MgLa4Ga2(FeO6)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(12), one O(2), one O(8), and one O(9) atom to form MgO4 tetrahedra that share  a cornercorner with one Ga(1)O6 octahedra and corners with two equivalent Fe(1)O4 trigonal pyramids. The corner-sharing octahedral tilt angles are 11°. There are four inequivalent La sites. In the first La site, La(1) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(12), one O(2), one O(5), one O(6), and one O(9) atom. In the second La site, La(2) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(11), one O(12), one O(2), one O(5), and one O(6) atom. In the third La site, La(3) is bonded in a 7-coordinate geometry to one O(10), one O(3), one O(4), one O(5), one O(7), one O(8), and one O(9) atom. In the fourth La site, La(4) is bonded in a 6-coordinate geometry to one O(10), one O(3), one O(4), one O(6), one O(7), one O(8), and one O(9) atom. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(12), one O(4), one O(5), and one O(9) atom to form distorted FeO4 trigonal pyramids that share  a cornercorner with one Ga(1)O6 octahedra and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 32°. In the second Fe site, Fe(2) is bonded to one O(10), one O(11), one O(3), one O(6), and one O(7) atom to form FeO5 square pyramids that share corners with four equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 21-42°. There are two inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(10), one O(11), one O(2), one O(4), one O(6), and one O(7) atom to form GaO6 octahedra that share corners with four equivalent Fe(2)O5 square pyramids,  a cornercorner with one Mg(1)O4 tetrahedra, and  a cornercorner with one Fe(1)O4 trigonal pyramid. In the second Ga site, Ga(2) is bonded in a 4-coordinate geometry to one O(1), one O(3), one O(5), one O(8), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one La(1), one La(2), and one Ga(2) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Mg(1), one La(1), one La(2), and one Ga(1) atom. In the third O site, O(3) is bonded to one La(3), one La(4), one Fe(2), and one Ga(2) atom to form distorted OLa2GaFe tetrahedra that share corners with three equivalent O(10)La3GaFe square pyramids,  a cornercorner with one O(11)La2GaFe trigonal pyramid,  an edgeedge with one O(5)La3GaFe trigonal bipyramid, and  an edgeedge with one O(6)La3GaFe trigonal bipyramid. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one La(3), one La(4), one Fe(1), and one Ga(1) atom. In the fifth O site, O(5) is bonded to one La(1), one La(2), one La(3), one Fe(1), and one Ga(2) atom to form distorted OLa3GaFe trigonal bipyramids that share corners with two equivalent O(10)La3GaFe square pyramids, corners with two equivalent O(6)La3GaFe trigonal bipyramids,  an edgeedge with one O(3)La2GaFe tetrahedra, and  an edgeedge with one O(11)La2GaFe trigonal pyramid. In the sixth O site, O(6) is bonded to one La(1), one La(2), one La(4), one Fe(2), and one Ga(1) atom to form distorted OLa3GaFe trigonal bipyramids that share corners with two equivalent O(10)La3GaFe square pyramids, corners with two equivalent O(5)La3GaFe trigonal bipyramids,  an edgeedge with one O(10)La3GaFe square pyramid,  an edgeedge with one O(3)La2GaFe tetrahedra, and edges with two equivalent O(11)La2GaFe trigonal pyramids. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one La(3), one La(4), one Fe(2), and one Ga(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Mg(1), one La(3), one La(4), and one Ga(2) atom. In the ninth O site, O(9) is bonded in a 6-coordinate geometry to one Mg(1), one La(1), one La(3), one La(4), one Fe(1), and one Ga(2) atom. In the tenth O site, O(10) is bonded to one La(2), one La(3), one La(4), one Fe(2), and one Ga(1) atom to form distorted OLa3GaFe square pyramids that share corners with three equivalent O(3)La2GaFe tetrahedra, corners with two equivalent O(5)La3GaFe trigonal bipyramids, corners with two equivalent O(6)La3GaFe trigonal bipyramids,  a cornercorner with one O(11)La2GaFe trigonal pyramid,  an edgeedge with one O(6)La3GaFe trigonal bipyramid, and  an edgeedge with one O(11)La2GaFe trigonal pyramid. In the eleventh O site, O(11) is bonded to one La(1), one La(2), one Fe(2), and one Ga(1) atom to form distorted OLa2GaFe trigonal pyramids that share  a cornercorner with one O(10)La3GaFe square pyramid,  a cornercorner with one O(3)La2GaFe tetrahedra,  an edgeedge with one O(10)La3GaFe square pyramid,  an edgeedge with one O(5)La3GaFe trigonal bipyramid, and edges with two equivalent O(6)La3GaFe trigonal bipyramids. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Mg(1), one La(1), one La(2), and one Fe(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_La4MgGa2(FeO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.951
_cell_length_b   5.667
_cell_length_c   8.568
_cell_angle_alpha   84.191
_cell_angle_beta   91.698
_cell_angle_gamma   94.969
_symmetry_Int_Tables_number   1
_cell_volume   286.316
_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
  La  La0  1  0.434  0.469  0.730  1.0
  La  La1  1  0.892  0.070  0.801  1.0
  La  La2  1  0.562  0.539  0.250  1.0
  La  La3  1  0.065  0.998  0.215  1.0
  Mg  Mg4  1  0.088  0.813  0.570  1.0
  Ga  Ga5  1  0.017  0.539  1.000  1.0
  Ga  Ga6  1  0.577  0.004  0.481  1.0
  Fe  Fe7  1  0.020  0.391  0.449  1.0
  Fe  Fe8  1  0.488  0.033  0.025  1.0
  O  O9  1  0.544  0.874  0.693  1.0
  O  O10  1  0.044  0.646  0.779  1.0
  O  O11  1  0.459  0.115  0.278  1.0
  O  O12  1  0.945  0.401  0.217  1.0
  O  O13  1  0.702  0.311  0.538  1.0
  O  O14  1  0.184  0.245  0.966  1.0
  O  O15  1  0.290  0.734  0.073  1.0
  O  O16  1  0.814  0.825  0.418  1.0
  O  O17  1  0.288  0.651  0.447  1.0
  O  O18  1  0.800  0.810  0.045  1.0
  O  O19  1  0.681  0.317  0.935  1.0
  O  O20  1  0.165  0.155  0.596  1.0
[/CIF]
.