The material described by Mg2Mn9O13 crystallizes in the triclinic P-1 space group. Mg(1) is bonded in a 6-coordinate geometry to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the second Mn site, Mn(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 0-17°. In the third Mn site, Mn(3) is bonded to one O(5), two equivalent O(6), and three equivalent O(7) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the fourth Mn site, Mn(4) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 0-17°. In the fifth Mn site, Mn(5) is bonded in a 6-coordinate geometry to one O(2), one O(7), two equivalent O(5), and two equivalent O(6) atoms. There are seven inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mn(4) and four equivalent Mn(2) atoms to form OMn6 octahedra that share corners with four equivalent O(3)Mn5 square pyramids, corners with two equivalent O(2)Mg2Mn2 tetrahedra, edges with two equivalent O(1)Mn6 octahedra, edges with six equivalent O(3)Mn5 square pyramids, and edges with four equivalent O(4)Mg2Mn3 trigonal bipyramids. In the second O site, O(2) is bonded to two equivalent Mg(1), one Mn(4), and one Mn(5) atom to form OMg2Mn2 tetrahedra that share  a cornercorner with one O(1)Mn6 octahedra,  a cornercorner with one O(7)Mn6 octahedra, corners with two equivalent O(3)Mn5 square pyramids, corners with two equivalent O(6)Mn5 square pyramids, corners with two equivalent O(2)Mg2Mn2 tetrahedra, corners with four equivalent O(4)Mg2Mn3 trigonal bipyramids, corners with four equivalent O(5)Mg2Mn3 trigonal bipyramids,  an edgeedge with one O(4)Mg2Mn3 trigonal bipyramid, and  an edgeedge with one O(5)Mg2Mn3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 9-11°. In the third O site, O(3) is bonded to two equivalent Mn(4) and three equivalent Mn(2) atoms to form OMn5 square pyramids that share corners with two equivalent O(1)Mn6 octahedra, corners with two equivalent O(2)Mg2Mn2 tetrahedra, corners with five equivalent O(4)Mg2Mn3 trigonal bipyramids, edges with three equivalent O(1)Mn6 octahedra, edges with four equivalent O(3)Mn5 square pyramids, and  an edgeedge with one O(4)Mg2Mn3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. In the fourth O site, O(4) is bonded to two equivalent Mg(1), one Mn(2), and two equivalent Mn(4) atoms to form distorted OMg2Mn3 trigonal bipyramids that share corners with five equivalent O(3)Mn5 square pyramids, corners with four equivalent O(2)Mg2Mn2 tetrahedra, corners with two equivalent O(5)Mg2Mn3 trigonal bipyramids, edges with two equivalent O(1)Mn6 octahedra,  an edgeedge with one O(3)Mn5 square pyramid,  an edgeedge with one O(2)Mg2Mn2 tetrahedra,  an edgeedge with one O(5)Mg2Mn3 trigonal bipyramid, and edges with two equivalent O(4)Mg2Mn3 trigonal bipyramids. In the fifth O site, O(5) is bonded to two equivalent Mg(1), one Mn(3), and two equivalent Mn(5) atoms to form distorted OMg2Mn3 trigonal bipyramids that share  a cornercorner with one O(7)Mn6 octahedra, corners with four equivalent O(6)Mn5 square pyramids, corners with four equivalent O(2)Mg2Mn2 tetrahedra, corners with two equivalent O(4)Mg2Mn3 trigonal bipyramids, edges with two equivalent O(7)Mn6 octahedra,  an edgeedge with one O(6)Mn5 square pyramid,  an edgeedge with one O(2)Mg2Mn2 tetrahedra,  an edgeedge with one O(4)Mg2Mn3 trigonal bipyramid, and edges with two equivalent O(5)Mg2Mn3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. In the sixth O site, O(6) is bonded to one Mn(1), two equivalent Mn(3), and two equivalent Mn(5) atoms to form distorted OMn5 square pyramids that share corners with two equivalent O(7)Mn6 octahedra,  a cornercorner with one O(6)Mn5 square pyramid, corners with two equivalent O(2)Mg2Mn2 tetrahedra, corners with four equivalent O(5)Mg2Mn3 trigonal bipyramids, edges with five equivalent O(7)Mn6 octahedra, edges with two equivalent O(6)Mn5 square pyramids, and  an edgeedge with one O(5)Mg2Mn3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 13°. In the seventh O site, O(7) is bonded to one Mn(5), two equivalent Mn(1), and three equivalent Mn(3) atoms to form OMn6 octahedra that share corners with two equivalent O(7)Mn6 octahedra, corners with two equivalent O(6)Mn5 square pyramids,  a cornercorner with one O(2)Mg2Mn2 tetrahedra,  a cornercorner with one O(5)Mg2Mn3 trigonal bipyramid, edges with five equivalent O(7)Mn6 octahedra, edges with five equivalent O(6)Mn5 square pyramids, and edges with two equivalent O(5)Mg2Mn3 trigonal bipyramids. The corner-sharing octahedra are not tilted. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg2Mn9O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.039
_cell_length_b   5.331
_cell_length_c   17.147
_cell_angle_alpha   97.893
_cell_angle_beta   90.283
_cell_angle_gamma   105.263
_symmetry_Int_Tables_number   1
_cell_volume   265.194
_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
  Mg  Mg0  1  0.225  0.434  0.228  1.0
  Mg  Mg1  1  0.775  0.566  0.772  1.0
  Mn  Mn2  1  0.500  0.000  0.500  1.0
  Mn  Mn3  1  0.647  0.293  0.041  1.0
  Mn  Mn4  1  0.353  0.707  0.959  1.0
  Mn  Mn5  1  0.751  0.498  0.416  1.0
  Mn  Mn6  1  0.249  0.502  0.584  1.0
  Mn  Mn7  1  0.940  0.874  0.128  1.0
  Mn  Mn8  1  0.060  0.126  0.872  1.0
  Mn  Mn9  1  0.995  0.984  0.327  1.0
  Mn  Mn10  1  0.005  0.016  0.673  1.0
  O  O11  1  0.000  0.000  0.000  1.0
  O  O12  1  0.853  0.706  0.228  1.0
  O  O13  1  0.147  0.294  0.772  1.0
  O  O14  1  0.300  0.593  0.067  1.0
  O  O15  1  0.700  0.407  0.933  1.0
  O  O16  1  0.591  0.182  0.145  1.0
  O  O17  1  0.409  0.818  0.855  1.0
  O  O18  1  0.631  0.261  0.308  1.0
  O  O19  1  0.369  0.739  0.692  1.0
  O  O20  1  0.393  0.786  0.393  1.0
  O  O21  1  0.607  0.214  0.607  1.0
  O  O22  1  0.135  0.256  0.465  1.0
  O  O23  1  0.865  0.744  0.535  1.0
[/CIF]
.
The material described by Mg2Mn9O13 crystallizes in the triclinic P-1 space group. Mg(1) is bonded in a 6-coordinate geometry to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the second Mn site, Mn(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 0-17°. In the third Mn site, Mn(3) is bonded to one O(5), two equivalent O(6), and three equivalent O(7) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the fourth Mn site, Mn(4) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 0-17°. In the fifth Mn site, Mn(5) is bonded in a 6-coordinate geometry to one O(2), one O(7), two equivalent O(5), and two equivalent O(6) atoms. There are seven inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mn(4) and four equivalent Mn(2) atoms to form OMn6 octahedra that share corners with four equivalent O(3)Mn5 square pyramids, corners with two equivalent O(2)Mg2Mn2 tetrahedra, edges with two equivalent O(1)Mn6 octahedra, edges with six equivalent O(3)Mn5 square pyramids, and edges with four equivalent O(4)Mg2Mn3 trigonal bipyramids. In the second O site, O(2) is bonded to two equivalent Mg(1), one Mn(4), and one Mn(5) atom to form OMg2Mn2 tetrahedra that share  a cornercorner with one O(1)Mn6 octahedra,  a cornercorner with one O(7)Mn6 octahedra, corners with two equivalent O(3)Mn5 square pyramids, corners with two equivalent O(6)Mn5 square pyramids, corners with two equivalent O(2)Mg2Mn2 tetrahedra, corners with four equivalent O(4)Mg2Mn3 trigonal bipyramids, corners with four equivalent O(5)Mg2Mn3 trigonal bipyramids,  an edgeedge with one O(4)Mg2Mn3 trigonal bipyramid, and  an edgeedge with one O(5)Mg2Mn3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 9-11°. In the third O site, O(3) is bonded to two equivalent Mn(4) and three equivalent Mn(2) atoms to form OMn5 square pyramids that share corners with two equivalent O(1)Mn6 octahedra, corners with two equivalent O(2)Mg2Mn2 tetrahedra, corners with five equivalent O(4)Mg2Mn3 trigonal bipyramids, edges with three equivalent O(1)Mn6 octahedra, edges with four equivalent O(3)Mn5 square pyramids, and  an edgeedge with one O(4)Mg2Mn3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. In the fourth O site, O(4) is bonded to two equivalent Mg(1), one Mn(2), and two equivalent Mn(4) atoms to form distorted OMg2Mn3 trigonal bipyramids that share corners with five equivalent O(3)Mn5 square pyramids, corners with four equivalent O(2)Mg2Mn2 tetrahedra, corners with two equivalent O(5)Mg2Mn3 trigonal bipyramids, edges with two equivalent O(1)Mn6 octahedra,  an edgeedge with one O(3)Mn5 square pyramid,  an edgeedge with one O(2)Mg2Mn2 tetrahedra,  an edgeedge with one O(5)Mg2Mn3 trigonal bipyramid, and edges with two equivalent O(4)Mg2Mn3 trigonal bipyramids. In the fifth O site, O(5) is bonded to two equivalent Mg(1), one Mn(3), and two equivalent Mn(5) atoms to form distorted OMg2Mn3 trigonal bipyramids that share  a cornercorner with one O(7)Mn6 octahedra, corners with four equivalent O(6)Mn5 square pyramids, corners with four equivalent O(2)Mg2Mn2 tetrahedra, corners with two equivalent O(4)Mg2Mn3 trigonal bipyramids, edges with two equivalent O(7)Mn6 octahedra,  an edgeedge with one O(6)Mn5 square pyramid,  an edgeedge with one O(2)Mg2Mn2 tetrahedra,  an edgeedge with one O(4)Mg2Mn3 trigonal bipyramid, and edges with two equivalent O(5)Mg2Mn3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. In the sixth O site, O(6) is bonded to one Mn(1), two equivalent Mn(3), and two equivalent Mn(5) atoms to form distorted OMn5 square pyramids that share corners with two equivalent O(7)Mn6 octahedra,  a cornercorner with one O(6)Mn5 square pyramid, corners with two equivalent O(2)Mg2Mn2 tetrahedra, corners with four equivalent O(5)Mg2Mn3 trigonal bipyramids, edges with five equivalent O(7)Mn6 octahedra, edges with two equivalent O(6)Mn5 square pyramids, and  an edgeedge with one O(5)Mg2Mn3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 13°. In the seventh O site, O(7) is bonded to one Mn(5), two equivalent Mn(1), and three equivalent Mn(3) atoms to form OMn6 octahedra that share corners with two equivalent O(7)Mn6 octahedra, corners with two equivalent O(6)Mn5 square pyramids,  a cornercorner with one O(2)Mg2Mn2 tetrahedra,  a cornercorner with one O(5)Mg2Mn3 trigonal bipyramid, edges with five equivalent O(7)Mn6 octahedra, edges with five equivalent O(6)Mn5 square pyramids, and edges with two equivalent O(5)Mg2Mn3 trigonal bipyramids. The corner-sharing octahedra are not tilted. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg2Mn9O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.039
_cell_length_b   5.331
_cell_length_c   17.147
_cell_angle_alpha   97.893
_cell_angle_beta   90.283
_cell_angle_gamma   105.263
_symmetry_Int_Tables_number   1
_cell_volume   265.194
_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
  Mg  Mg0  1  0.225  0.434  0.228  1.0
  Mg  Mg1  1  0.775  0.566  0.772  1.0
  Mn  Mn2  1  0.500  0.000  0.500  1.0
  Mn  Mn3  1  0.647  0.293  0.041  1.0
  Mn  Mn4  1  0.353  0.707  0.959  1.0
  Mn  Mn5  1  0.751  0.498  0.416  1.0
  Mn  Mn6  1  0.249  0.502  0.584  1.0
  Mn  Mn7  1  0.940  0.874  0.128  1.0
  Mn  Mn8  1  0.060  0.126  0.872  1.0
  Mn  Mn9  1  0.995  0.984  0.327  1.0
  Mn  Mn10  1  0.005  0.016  0.673  1.0
  O  O11  1  0.000  0.000  0.000  1.0
  O  O12  1  0.853  0.706  0.228  1.0
  O  O13  1  0.147  0.294  0.772  1.0
  O  O14  1  0.300  0.593  0.067  1.0
  O  O15  1  0.700  0.407  0.933  1.0
  O  O16  1  0.591  0.182  0.145  1.0
  O  O17  1  0.409  0.818  0.855  1.0
  O  O18  1  0.631  0.261  0.308  1.0
  O  O19  1  0.369  0.739  0.692  1.0
  O  O20  1  0.393  0.786  0.393  1.0
  O  O21  1  0.607  0.214  0.607  1.0
  O  O22  1  0.135  0.256  0.465  1.0
  O  O23  1  0.865  0.744  0.535  1.0
[/CIF]
.