The material described by Ba10MgMn6(O12F)2 crystallizes in the triclinic P-1 space group. There are five inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. In the second Ba site, Ba(2) is bonded in a 7-coordinate geometry to one O(1), one O(12), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(12), one O(6), one O(8), one O(9), one F(1), and one F(2) atom. In the fourth Ba site, Ba(4) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(4), one O(7), one O(9), one F(1), and one F(2) atom. In the fifth Ba site, Ba(5) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(3), one O(5), one O(7), one O(8), one F(1), and one F(2) atom. Mg(1) is bonded in a distorted octahedral geometry to two equivalent O(11), two equivalent O(2), and two equivalent O(5) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a tetrahedral geometry to one O(1), one O(10), one O(4), and one O(7) atom. In the second Mn site, Mn(2) is bonded in a rectangular see-saw-like geometry to one O(11), one O(2), one O(5), and one O(8) atom. In the third Mn site, Mn(3) is bonded in a tetrahedral geometry to one O(12), one O(3), one O(6), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Mg(1), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(5), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(4), and one Mn(1) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Ba(5), one Mg(1), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(3) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(5), and one Mn(1) atom. In the eighth O site, O(8) is bonded to one Ba(1), one Ba(3), one Ba(5), and one Mn(2) atom to form distorted OBa3Mn tetrahedra that share corners with two equivalent F(2)Ba6 octahedra and  an edgeedge with one F(1)Ba6 octahedra. The corner-sharing octahedral tilt angles range from 36-71°. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(3), one Ba(4), and one Mn(3) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(5), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Ba(3), one Ba(5), one Mg(1), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(4), and one Mn(3) atom. There are two inequivalent F sites. In the first F site, F(1) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form distorted FBa6 octahedra that share edges with two equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(2)Ba6 octahedra. In the second F site, F(2) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form FBa6 octahedra that share corners with four equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(1)Ba6 octahedra. is represented by the CIF card [CIF]
data_Ba10MgMn6(O12F)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.750
_cell_length_b   10.559
_cell_length_c   10.785
_cell_angle_alpha   120.896
_cell_angle_beta   87.694
_cell_angle_gamma   93.355
_symmetry_Int_Tables_number   1
_cell_volume   755.990
_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
  Ba  Ba0  1  0.494  0.660  0.334  1.0
  Ba  Ba1  1  0.005  0.319  0.680  1.0
  Ba  Ba2  1  0.506  0.340  0.666  1.0
  Ba  Ba3  1  0.995  0.681  0.320  1.0
  Ba  Ba4  1  0.733  0.238  0.001  1.0
  Ba  Ba5  1  0.772  0.010  0.246  1.0
  Ba  Ba6  1  0.753  0.766  0.780  1.0
  Ba  Ba7  1  0.267  0.762  0.999  1.0
  Ba  Ba8  1  0.228  0.990  0.754  1.0
  Ba  Ba9  1  0.247  0.234  0.220  1.0
  Mg  Mg10  1  0.000  0.500  0.500  1.0
  Mn  Mn11  1  0.729  0.969  0.603  1.0
  Mn  Mn12  1  0.718  0.402  0.376  1.0
  Mn  Mn13  1  0.757  0.630  0.030  1.0
  Mn  Mn14  1  0.271  0.031  0.397  1.0
  Mn  Mn15  1  0.282  0.598  0.624  1.0
  Mn  Mn16  1  0.243  0.370  0.970  1.0
  O  O17  1  0.724  0.158  0.691  1.0
  O  O18  1  0.793  0.366  0.516  1.0
  O  O19  1  0.766  0.522  0.847  1.0
  O  O20  1  0.276  0.842  0.309  1.0
  O  O21  1  0.207  0.634  0.484  1.0
  O  O22  1  0.234  0.478  0.153  1.0
  O  O23  1  0.746  0.891  0.418  1.0
  O  O24  1  0.778  0.596  0.480  1.0
  O  O25  1  0.741  0.532  0.118  1.0
  O  O26  1  0.254  0.109  0.582  1.0
  O  O27  1  0.222  0.404  0.520  1.0
  O  O28  1  0.259  0.468  0.882  1.0
  O  O29  1  0.551  0.890  0.641  1.0
  O  O30  1  0.549  0.366  0.253  1.0
  O  O31  1  0.591  0.749  0.085  1.0
  O  O32  1  0.095  0.078  0.339  1.0
  O  O33  1  0.085  0.656  0.729  1.0
  O  O34  1  0.061  0.255  0.902  1.0
  O  O35  1  0.449  0.110  0.359  1.0
  O  O36  1  0.451  0.634  0.747  1.0
  O  O37  1  0.409  0.251  0.915  1.0
  O  O38  1  0.905  0.922  0.661  1.0
  O  O39  1  0.915  0.344  0.271  1.0
  O  O40  1  0.939  0.745  0.098  1.0
  F  F41  1  0.500  0.000  0.000  1.0
  F  F42  1  0.000  0.000  0.000  1.0
[/CIF]
.
The material described by Ba10MgMn6(O12F)2 crystallizes in the triclinic P-1 space group. There are five inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. In the second Ba site, Ba(2) is bonded in a 7-coordinate geometry to one O(1), one O(12), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(12), one O(6), one O(8), one O(9), one F(1), and one F(2) atom. In the fourth Ba site, Ba(4) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(4), one O(7), one O(9), one F(1), and one F(2) atom. In the fifth Ba site, Ba(5) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(3), one O(5), one O(7), one O(8), one F(1), and one F(2) atom. Mg(1) is bonded in a distorted octahedral geometry to two equivalent O(11), two equivalent O(2), and two equivalent O(5) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a tetrahedral geometry to one O(1), one O(10), one O(4), and one O(7) atom. In the second Mn site, Mn(2) is bonded in a rectangular see-saw-like geometry to one O(11), one O(2), one O(5), and one O(8) atom. In the third Mn site, Mn(3) is bonded in a tetrahedral geometry to one O(12), one O(3), one O(6), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Mg(1), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(5), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(4), and one Mn(1) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Ba(5), one Mg(1), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(3) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(5), and one Mn(1) atom. In the eighth O site, O(8) is bonded to one Ba(1), one Ba(3), one Ba(5), and one Mn(2) atom to form distorted OBa3Mn tetrahedra that share corners with two equivalent F(2)Ba6 octahedra and  an edgeedge with one F(1)Ba6 octahedra. The corner-sharing octahedral tilt angles range from 36-71°. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(3), one Ba(4), and one Mn(3) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(5), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Ba(3), one Ba(5), one Mg(1), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(4), and one Mn(3) atom. There are two inequivalent F sites. In the first F site, F(1) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form distorted FBa6 octahedra that share edges with two equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(2)Ba6 octahedra. In the second F site, F(2) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form FBa6 octahedra that share corners with four equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(1)Ba6 octahedra. is represented by the CIF card [CIF]
data_Ba10MgMn6(O12F)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.750
_cell_length_b   10.559
_cell_length_c   10.785
_cell_angle_alpha   120.896
_cell_angle_beta   87.694
_cell_angle_gamma   93.355
_symmetry_Int_Tables_number   1
_cell_volume   755.990
_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
  Ba  Ba0  1  0.494  0.660  0.334  1.0
  Ba  Ba1  1  0.005  0.319  0.680  1.0
  Ba  Ba2  1  0.506  0.340  0.666  1.0
  Ba  Ba3  1  0.995  0.681  0.320  1.0
  Ba  Ba4  1  0.733  0.238  0.001  1.0
  Ba  Ba5  1  0.772  0.010  0.246  1.0
  Ba  Ba6  1  0.753  0.766  0.780  1.0
  Ba  Ba7  1  0.267  0.762  0.999  1.0
  Ba  Ba8  1  0.228  0.990  0.754  1.0
  Ba  Ba9  1  0.247  0.234  0.220  1.0
  Mg  Mg10  1  0.000  0.500  0.500  1.0
  Mn  Mn11  1  0.729  0.969  0.603  1.0
  Mn  Mn12  1  0.718  0.402  0.376  1.0
  Mn  Mn13  1  0.757  0.630  0.030  1.0
  Mn  Mn14  1  0.271  0.031  0.397  1.0
  Mn  Mn15  1  0.282  0.598  0.624  1.0
  Mn  Mn16  1  0.243  0.370  0.970  1.0
  O  O17  1  0.724  0.158  0.691  1.0
  O  O18  1  0.793  0.366  0.516  1.0
  O  O19  1  0.766  0.522  0.847  1.0
  O  O20  1  0.276  0.842  0.309  1.0
  O  O21  1  0.207  0.634  0.484  1.0
  O  O22  1  0.234  0.478  0.153  1.0
  O  O23  1  0.746  0.891  0.418  1.0
  O  O24  1  0.778  0.596  0.480  1.0
  O  O25  1  0.741  0.532  0.118  1.0
  O  O26  1  0.254  0.109  0.582  1.0
  O  O27  1  0.222  0.404  0.520  1.0
  O  O28  1  0.259  0.468  0.882  1.0
  O  O29  1  0.551  0.890  0.641  1.0
  O  O30  1  0.549  0.366  0.253  1.0
  O  O31  1  0.591  0.749  0.085  1.0
  O  O32  1  0.095  0.078  0.339  1.0
  O  O33  1  0.085  0.656  0.729  1.0
  O  O34  1  0.061  0.255  0.902  1.0
  O  O35  1  0.449  0.110  0.359  1.0
  O  O36  1  0.451  0.634  0.747  1.0
  O  O37  1  0.409  0.251  0.915  1.0
  O  O38  1  0.905  0.922  0.661  1.0
  O  O39  1  0.915  0.344  0.271  1.0
  O  O40  1  0.939  0.745  0.098  1.0
  F  F41  1  0.500  0.000  0.000  1.0
  F  F42  1  0.000  0.000  0.000  1.0
[/CIF]
.