The structure described by BaMg5La7Nb3O24 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic Cm space group. Ba(1) is bonded in a 7-coordinate geometry to one O(15), two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(16), one O(2), two equivalent O(11), and two equivalent O(6) atoms to form MgO6 octahedra that share  a cornercorner with one Nb(1)O6 octahedra,  a cornercorner with one Nb(3)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, and corners with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 24-33°. In the second Mg site, Mg(2) is bonded to one O(13), one O(7), two equivalent O(1), and two equivalent O(14) atoms to form MgO6 octahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Nb(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, and corners with two equivalent Nb(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 20-29°. In the third Mg site, Mg(3) is bonded to one O(12), one O(13), two equivalent O(11), and two equivalent O(9) atoms to form corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 22-29°. In the fourth Mg site, Mg(4) is bonded to one O(12), one O(3), two equivalent O(4), and two equivalent O(5) atoms to form MgO6 octahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, and corners with two equivalent Nb(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-29°. In the fifth Mg site, Mg(5) is bonded to one O(15), one O(8), two equivalent O(10), and two equivalent O(9) atoms to form MgO6 octahedra that share  a cornercorner with one Nb(2)O6 octahedra,  a cornercorner with one Nb(3)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, and corners with two equivalent Nb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-32°. There are seven inequivalent La sites. In the first La site, La(1) is bonded in a 11-coordinate geometry to one O(13), two equivalent O(1), two equivalent O(10), two equivalent O(11), two equivalent O(2), and two equivalent O(6) atoms. In the second La site, La(2) is bonded in a 5-coordinate geometry to one O(16), two equivalent O(1), and two equivalent O(4) atoms. In the third La site, La(3) is bonded in a 9-coordinate geometry to one O(8), two equivalent O(11), two equivalent O(12), two equivalent O(5), and two equivalent O(9) atoms. In the fourth La site, La(4) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(14), and two equivalent O(9) atoms. In the fifth La site, La(5) is bonded in a 11-coordinate geometry to one O(12), two equivalent O(10), two equivalent O(4), two equivalent O(6), two equivalent O(8), and two equivalent O(9) atoms. In the sixth La site, La(6) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(14), and two equivalent O(9) atoms. In the seventh La site, La(7) is bonded in a 5-coordinate geometry to one O(7), two equivalent O(11), and two equivalent O(5) atoms. There are three inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(10) atoms to form NbO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(4)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with two equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 20-33°. In the second Nb site, Nb(2) is bonded to one O(7), one O(8), two equivalent O(4), and two equivalent O(6) atoms to form NbO6 octahedra that share  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, and corners with two equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-32°. In the third Nb site, Nb(3) is bonded to one O(15), one O(16), two equivalent O(14), and two equivalent O(5) atoms to form NbO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with two equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-33°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Ba(1), one Mg(2), one La(1), one La(2), and one Nb(1) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one La(6), two equivalent La(1), and one Nb(1) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to two equivalent Ba(1), one Mg(4), one La(4), and one Nb(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Ba(1), one Mg(4), one La(2), one La(5), and one Nb(2) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(4), one La(3), one La(7), and one Nb(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Mg(1), one La(1), one La(5), and one Nb(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(2), one La(7), and one Nb(2) atom. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(5), one La(3), two equivalent La(5), and one Nb(2) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Mg(3), one Mg(5), one La(3), one La(4), one La(5), and one La(6) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one Mg(5), one La(1), one La(5), and one Nb(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Mg(1), one Mg(3), one La(1), one La(3), and one La(7) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Mg(3), one Mg(4), one La(5), and two equivalent La(3) atoms. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(2), one Mg(3), and one La(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Mg(2), one La(4), one La(6), and one Nb(3) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Ba(1), one Mg(5), and one Nb(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), and one Nb(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaLa7Mg5Nb3O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.901
_cell_length_b   9.901
_cell_length_c   9.893
_cell_angle_alpha   80.281
_cell_angle_beta   80.281
_cell_angle_gamma   33.397
_symmetry_Int_Tables_number   1
_cell_volume   525.432
_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  0.687  0.687  0.434  1.0
  La  La1  1  0.554  0.554  0.814  1.0
  La  La2  1  0.065  0.065  0.323  1.0
  La  La3  1  0.824  0.824  0.047  1.0
  La  La4  1  0.320  0.320  0.590  1.0
  La  La5  1  0.194  0.194  0.941  1.0
  La  La6  1  0.930  0.930  0.691  1.0
  La  La7  1  0.432  0.432  0.171  1.0
  Mg  Mg8  1  0.002  0.002  0.999  1.0
  Mg  Mg9  1  0.499  0.499  0.501  1.0
  Mg  Mg10  1  0.376  0.376  0.879  1.0
  Mg  Mg11  1  0.251  0.251  0.248  1.0
  Mg  Mg12  1  0.749  0.749  0.752  1.0
  Nb  Nb13  1  0.125  0.125  0.627  1.0
  Nb  Nb14  1  0.624  0.624  0.120  1.0
  Nb  Nb15  1  0.875  0.875  0.376  1.0
  O  O16  1  0.309  0.833  0.530  1.0
  O  O17  1  0.039  0.039  0.784  1.0
  O  O18  1  0.207  0.207  0.466  1.0
  O  O19  1  0.833  0.309  0.530  1.0
  O  O20  1  0.930  0.410  0.211  1.0
  O  O21  1  0.070  0.585  0.273  1.0
  O  O22  1  0.821  0.334  0.017  1.0
  O  O23  1  0.541  0.541  0.280  1.0
  O  O24  1  0.710  0.710  0.966  1.0
  O  O25  1  0.585  0.070  0.273  1.0
  O  O26  1  0.410  0.930  0.211  1.0
  O  O27  1  0.334  0.821  0.017  1.0
  O  O28  1  0.576  0.072  0.779  1.0
  O  O29  1  0.419  0.925  0.724  1.0
  O  O30  1  0.677  0.177  0.980  1.0
  O  O31  1  0.290  0.290  0.042  1.0
  O  O32  1  0.458  0.458  0.709  1.0
  O  O33  1  0.072  0.576  0.779  1.0
  O  O34  1  0.925  0.419  0.724  1.0
  O  O35  1  0.177  0.677  0.980  1.0
  O  O36  1  0.172  0.675  0.474  1.0
  O  O37  1  0.800  0.800  0.542  1.0
  O  O38  1  0.962  0.962  0.222  1.0
  O  O39  1  0.675  0.172  0.474  1.0
[/CIF]
.
The structure described by BaMg5La7Nb3O24 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic Cm space group. Ba(1) is bonded in a 7-coordinate geometry to one O(15), two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(16), one O(2), two equivalent O(11), and two equivalent O(6) atoms to form MgO6 octahedra that share  a cornercorner with one Nb(1)O6 octahedra,  a cornercorner with one Nb(3)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, and corners with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 24-33°. In the second Mg site, Mg(2) is bonded to one O(13), one O(7), two equivalent O(1), and two equivalent O(14) atoms to form MgO6 octahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Nb(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, and corners with two equivalent Nb(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 20-29°. In the third Mg site, Mg(3) is bonded to one O(12), one O(13), two equivalent O(11), and two equivalent O(9) atoms to form corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 22-29°. In the fourth Mg site, Mg(4) is bonded to one O(12), one O(3), two equivalent O(4), and two equivalent O(5) atoms to form MgO6 octahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, and corners with two equivalent Nb(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-29°. In the fifth Mg site, Mg(5) is bonded to one O(15), one O(8), two equivalent O(10), and two equivalent O(9) atoms to form MgO6 octahedra that share  a cornercorner with one Nb(2)O6 octahedra,  a cornercorner with one Nb(3)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, and corners with two equivalent Nb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-32°. There are seven inequivalent La sites. In the first La site, La(1) is bonded in a 11-coordinate geometry to one O(13), two equivalent O(1), two equivalent O(10), two equivalent O(11), two equivalent O(2), and two equivalent O(6) atoms. In the second La site, La(2) is bonded in a 5-coordinate geometry to one O(16), two equivalent O(1), and two equivalent O(4) atoms. In the third La site, La(3) is bonded in a 9-coordinate geometry to one O(8), two equivalent O(11), two equivalent O(12), two equivalent O(5), and two equivalent O(9) atoms. In the fourth La site, La(4) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(14), and two equivalent O(9) atoms. In the fifth La site, La(5) is bonded in a 11-coordinate geometry to one O(12), two equivalent O(10), two equivalent O(4), two equivalent O(6), two equivalent O(8), and two equivalent O(9) atoms. In the sixth La site, La(6) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(14), and two equivalent O(9) atoms. In the seventh La site, La(7) is bonded in a 5-coordinate geometry to one O(7), two equivalent O(11), and two equivalent O(5) atoms. There are three inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(10) atoms to form NbO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(4)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with two equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 20-33°. In the second Nb site, Nb(2) is bonded to one O(7), one O(8), two equivalent O(4), and two equivalent O(6) atoms to form NbO6 octahedra that share  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, and corners with two equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-32°. In the third Nb site, Nb(3) is bonded to one O(15), one O(16), two equivalent O(14), and two equivalent O(5) atoms to form NbO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, and corners with two equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-33°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Ba(1), one Mg(2), one La(1), one La(2), and one Nb(1) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one La(6), two equivalent La(1), and one Nb(1) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to two equivalent Ba(1), one Mg(4), one La(4), and one Nb(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Ba(1), one Mg(4), one La(2), one La(5), and one Nb(2) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(4), one La(3), one La(7), and one Nb(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Mg(1), one La(1), one La(5), and one Nb(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(2), one La(7), and one Nb(2) atom. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(5), one La(3), two equivalent La(5), and one Nb(2) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Mg(3), one Mg(5), one La(3), one La(4), one La(5), and one La(6) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one Mg(5), one La(1), one La(5), and one Nb(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Mg(1), one Mg(3), one La(1), one La(3), and one La(7) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Mg(3), one Mg(4), one La(5), and two equivalent La(3) atoms. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(2), one Mg(3), and one La(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Mg(2), one La(4), one La(6), and one Nb(3) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Ba(1), one Mg(5), and one Nb(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), and one Nb(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaLa7Mg5Nb3O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.901
_cell_length_b   9.901
_cell_length_c   9.893
_cell_angle_alpha   80.281
_cell_angle_beta   80.281
_cell_angle_gamma   33.397
_symmetry_Int_Tables_number   1
_cell_volume   525.432
_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  0.687  0.687  0.434  1.0
  La  La1  1  0.554  0.554  0.814  1.0
  La  La2  1  0.065  0.065  0.323  1.0
  La  La3  1  0.824  0.824  0.047  1.0
  La  La4  1  0.320  0.320  0.590  1.0
  La  La5  1  0.194  0.194  0.941  1.0
  La  La6  1  0.930  0.930  0.691  1.0
  La  La7  1  0.432  0.432  0.171  1.0
  Mg  Mg8  1  0.002  0.002  0.999  1.0
  Mg  Mg9  1  0.499  0.499  0.501  1.0
  Mg  Mg10  1  0.376  0.376  0.879  1.0
  Mg  Mg11  1  0.251  0.251  0.248  1.0
  Mg  Mg12  1  0.749  0.749  0.752  1.0
  Nb  Nb13  1  0.125  0.125  0.627  1.0
  Nb  Nb14  1  0.624  0.624  0.120  1.0
  Nb  Nb15  1  0.875  0.875  0.376  1.0
  O  O16  1  0.309  0.833  0.530  1.0
  O  O17  1  0.039  0.039  0.784  1.0
  O  O18  1  0.207  0.207  0.466  1.0
  O  O19  1  0.833  0.309  0.530  1.0
  O  O20  1  0.930  0.410  0.211  1.0
  O  O21  1  0.070  0.585  0.273  1.0
  O  O22  1  0.821  0.334  0.017  1.0
  O  O23  1  0.541  0.541  0.280  1.0
  O  O24  1  0.710  0.710  0.966  1.0
  O  O25  1  0.585  0.070  0.273  1.0
  O  O26  1  0.410  0.930  0.211  1.0
  O  O27  1  0.334  0.821  0.017  1.0
  O  O28  1  0.576  0.072  0.779  1.0
  O  O29  1  0.419  0.925  0.724  1.0
  O  O30  1  0.677  0.177  0.980  1.0
  O  O31  1  0.290  0.290  0.042  1.0
  O  O32  1  0.458  0.458  0.709  1.0
  O  O33  1  0.072  0.576  0.779  1.0
  O  O34  1  0.925  0.419  0.724  1.0
  O  O35  1  0.177  0.677  0.980  1.0
  O  O36  1  0.172  0.675  0.474  1.0
  O  O37  1  0.800  0.800  0.542  1.0
  O  O38  1  0.962  0.962  0.222  1.0
  O  O39  1  0.675  0.172  0.474  1.0
[/CIF]
.