The crystal structure described by Mg2La5Mn3O15 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(11), one O(14), one O(4), one O(6), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. In the second Mg site, Mg(2) is bonded to one O(12), one O(13), one O(2), one O(3), one O(7), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are five inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to one O(10), one O(11), one O(2), one O(4), one O(5), one O(7), one O(8), and two equivalent O(12) atoms. In the second La site, La(2) is bonded in a 9-coordinate geometry to one O(1), one O(10), one O(15), one O(3), one O(5), one O(6), one O(7), and two equivalent O(14) atoms. In the third La site, La(3) is bonded in a 9-coordinate geometry to one O(10), one O(13), one O(14), one O(15), one O(4), one O(8), one O(9), and two equivalent O(2) atoms. In the fourth La site, La(4) is bonded in a 9-coordinate geometry to one O(1), one O(11), one O(12), one O(13), one O(8), two equivalent O(3), and two equivalent O(9) atoms. In the fifth La site, La(5) is bonded in a 9-coordinate geometry to one O(1), one O(11), one O(13), one O(15), one O(4), one O(5), one O(7), and two equivalent O(6) atoms. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(12), one O(13), one O(2), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, and corners with three equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-23°. In the second Mn site, Mn(2) is bonded to one O(11), one O(14), one O(3), one O(5), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. In the third Mn site, Mn(3) is bonded to two equivalent O(15), two equivalent O(4), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-23°. In the fourth Mn site, Mn(4) is bonded to two equivalent O(10), two equivalent O(15), and two equivalent O(5) atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 22-23°. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), one La(4), one La(5), and one Mn(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Mg(2), one La(1), two equivalent La(3), and one Mn(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(2), one La(2), two equivalent La(4), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mg(1), one La(1), one La(3), one La(5), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one La(1), one La(2), one La(5), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), two equivalent La(5), and one Mn(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(2), one La(1), one La(2), one La(5), and one Mn(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mg(2), one La(1), one La(3), one La(4), and one Mn(2) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one La(3), two equivalent La(4), and one Mn(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one La(1), one La(2), one La(3), one Mn(1), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Mg(1), one La(1), one La(4), one La(5), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Mg(2), one La(4), two equivalent La(1), and one Mn(1) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(2), one La(3), one La(4), one La(5), and one Mn(1) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mg(1), one La(3), two equivalent La(2), and one Mn(2) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one La(2), one La(3), one La(5), one Mn(3), and one Mn(4) atom. is represented by the CIF file [CIF]
data_La5Mg2Mn3O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.856
_cell_length_b   9.499
_cell_length_c   9.648
_cell_angle_alpha   81.344
_cell_angle_beta   113.666
_cell_angle_gamma   113.234
_symmetry_Int_Tables_number   1
_cell_volume   605.906
_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
  La  La0  1  0.653  0.102  0.699  1.0
  La  La1  1  0.449  0.303  0.102  1.0
  La  La2  1  0.850  0.899  0.302  1.0
  La  La3  1  0.250  0.501  0.501  1.0
  La  La4  1  0.047  0.700  0.898  1.0
  La  La5  1  0.750  0.499  0.499  1.0
  La  La6  1  0.551  0.697  0.898  1.0
  La  La7  1  0.953  0.300  0.102  1.0
  La  La8  1  0.347  0.898  0.301  1.0
  La  La9  1  0.150  0.101  0.698  1.0
  Mg  Mg10  1  0.900  0.600  0.200  1.0
  Mg  Mg11  1  0.300  0.200  0.400  1.0
  Mg  Mg12  1  0.700  0.800  0.600  1.0
  Mg  Mg13  1  0.100  0.400  0.800  1.0
  Mn  Mn14  1  0.800  0.200  0.400  1.0
  Mn  Mn15  1  0.600  0.400  0.800  1.0
  Mn  Mn16  1  0.000  0.000  0.000  1.0
  Mn  Mn17  1  0.400  0.600  0.200  1.0
  Mn  Mn18  1  0.200  0.800  0.600  1.0
  Mn  Mn19  1  0.500  0.000  0.000  1.0
  O  O20  1  0.793  0.380  0.277  1.0
  O  O21  1  0.193  0.980  0.478  1.0
  O  O22  1  0.593  0.582  0.677  1.0
  O  O23  1  0.994  0.181  0.877  1.0
  O  O24  1  0.392  0.780  0.077  1.0
  O  O25  1  0.784  0.525  0.979  1.0
  O  O26  1  0.184  0.126  0.179  1.0
  O  O27  1  0.584  0.726  0.379  1.0
  O  O28  1  0.986  0.326  0.580  1.0
  O  O29  1  0.386  0.926  0.779  1.0
  O  O30  1  0.173  0.588  0.242  1.0
  O  O31  1  0.574  0.188  0.442  1.0
  O  O32  1  0.973  0.789  0.641  1.0
  O  O33  1  0.375  0.390  0.842  1.0
  O  O34  1  0.768  0.988  0.043  1.0
  O  O35  1  0.006  0.819  0.123  1.0
  O  O36  1  0.407  0.418  0.323  1.0
  O  O37  1  0.807  0.020  0.522  1.0
  O  O38  1  0.207  0.620  0.723  1.0
  O  O39  1  0.608  0.220  0.923  1.0
  O  O40  1  0.014  0.674  0.420  1.0
  O  O41  1  0.416  0.274  0.621  1.0
  O  O42  1  0.816  0.874  0.821  1.0
  O  O43  1  0.216  0.475  0.021  1.0
  O  O44  1  0.614  0.074  0.221  1.0
  O  O45  1  0.625  0.610  0.158  1.0
  O  O46  1  0.027  0.211  0.359  1.0
  O  O47  1  0.426  0.812  0.558  1.0
  O  O48  1  0.827  0.412  0.758  1.0
  O  O49  1  0.232  0.012  0.957  1.0
[/CIF]
.
The crystal structure described by Mg2La5Mn3O15 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(11), one O(14), one O(4), one O(6), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. In the second Mg site, Mg(2) is bonded to one O(12), one O(13), one O(2), one O(3), one O(7), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are five inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to one O(10), one O(11), one O(2), one O(4), one O(5), one O(7), one O(8), and two equivalent O(12) atoms. In the second La site, La(2) is bonded in a 9-coordinate geometry to one O(1), one O(10), one O(15), one O(3), one O(5), one O(6), one O(7), and two equivalent O(14) atoms. In the third La site, La(3) is bonded in a 9-coordinate geometry to one O(10), one O(13), one O(14), one O(15), one O(4), one O(8), one O(9), and two equivalent O(2) atoms. In the fourth La site, La(4) is bonded in a 9-coordinate geometry to one O(1), one O(11), one O(12), one O(13), one O(8), two equivalent O(3), and two equivalent O(9) atoms. In the fifth La site, La(5) is bonded in a 9-coordinate geometry to one O(1), one O(11), one O(13), one O(15), one O(4), one O(5), one O(7), and two equivalent O(6) atoms. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(12), one O(13), one O(2), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, and corners with three equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-23°. In the second Mn site, Mn(2) is bonded to one O(11), one O(14), one O(3), one O(5), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. In the third Mn site, Mn(3) is bonded to two equivalent O(15), two equivalent O(4), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-23°. In the fourth Mn site, Mn(4) is bonded to two equivalent O(10), two equivalent O(15), and two equivalent O(5) atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 22-23°. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), one La(4), one La(5), and one Mn(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Mg(2), one La(1), two equivalent La(3), and one Mn(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(2), one La(2), two equivalent La(4), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mg(1), one La(1), one La(3), one La(5), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one La(1), one La(2), one La(5), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), two equivalent La(5), and one Mn(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(2), one La(1), one La(2), one La(5), and one Mn(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mg(2), one La(1), one La(3), one La(4), and one Mn(2) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one La(3), two equivalent La(4), and one Mn(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one La(1), one La(2), one La(3), one Mn(1), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Mg(1), one La(1), one La(4), one La(5), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Mg(2), one La(4), two equivalent La(1), and one Mn(1) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(2), one La(3), one La(4), one La(5), and one Mn(1) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mg(1), one La(3), two equivalent La(2), and one Mn(2) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one La(2), one La(3), one La(5), one Mn(3), and one Mn(4) atom. is represented by the CIF file [CIF]
data_La5Mg2Mn3O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.856
_cell_length_b   9.499
_cell_length_c   9.648
_cell_angle_alpha   81.344
_cell_angle_beta   113.666
_cell_angle_gamma   113.234
_symmetry_Int_Tables_number   1
_cell_volume   605.906
_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
  La  La0  1  0.653  0.102  0.699  1.0
  La  La1  1  0.449  0.303  0.102  1.0
  La  La2  1  0.850  0.899  0.302  1.0
  La  La3  1  0.250  0.501  0.501  1.0
  La  La4  1  0.047  0.700  0.898  1.0
  La  La5  1  0.750  0.499  0.499  1.0
  La  La6  1  0.551  0.697  0.898  1.0
  La  La7  1  0.953  0.300  0.102  1.0
  La  La8  1  0.347  0.898  0.301  1.0
  La  La9  1  0.150  0.101  0.698  1.0
  Mg  Mg10  1  0.900  0.600  0.200  1.0
  Mg  Mg11  1  0.300  0.200  0.400  1.0
  Mg  Mg12  1  0.700  0.800  0.600  1.0
  Mg  Mg13  1  0.100  0.400  0.800  1.0
  Mn  Mn14  1  0.800  0.200  0.400  1.0
  Mn  Mn15  1  0.600  0.400  0.800  1.0
  Mn  Mn16  1  0.000  0.000  0.000  1.0
  Mn  Mn17  1  0.400  0.600  0.200  1.0
  Mn  Mn18  1  0.200  0.800  0.600  1.0
  Mn  Mn19  1  0.500  0.000  0.000  1.0
  O  O20  1  0.793  0.380  0.277  1.0
  O  O21  1  0.193  0.980  0.478  1.0
  O  O22  1  0.593  0.582  0.677  1.0
  O  O23  1  0.994  0.181  0.877  1.0
  O  O24  1  0.392  0.780  0.077  1.0
  O  O25  1  0.784  0.525  0.979  1.0
  O  O26  1  0.184  0.126  0.179  1.0
  O  O27  1  0.584  0.726  0.379  1.0
  O  O28  1  0.986  0.326  0.580  1.0
  O  O29  1  0.386  0.926  0.779  1.0
  O  O30  1  0.173  0.588  0.242  1.0
  O  O31  1  0.574  0.188  0.442  1.0
  O  O32  1  0.973  0.789  0.641  1.0
  O  O33  1  0.375  0.390  0.842  1.0
  O  O34  1  0.768  0.988  0.043  1.0
  O  O35  1  0.006  0.819  0.123  1.0
  O  O36  1  0.407  0.418  0.323  1.0
  O  O37  1  0.807  0.020  0.522  1.0
  O  O38  1  0.207  0.620  0.723  1.0
  O  O39  1  0.608  0.220  0.923  1.0
  O  O40  1  0.014  0.674  0.420  1.0
  O  O41  1  0.416  0.274  0.621  1.0
  O  O42  1  0.816  0.874  0.821  1.0
  O  O43  1  0.216  0.475  0.021  1.0
  O  O44  1  0.614  0.074  0.221  1.0
  O  O45  1  0.625  0.610  0.158  1.0
  O  O46  1  0.027  0.211  0.359  1.0
  O  O47  1  0.426  0.812  0.558  1.0
  O  O48  1  0.827  0.412  0.758  1.0
  O  O49  1  0.232  0.012  0.957  1.0
[/CIF]
.