The material described by Ca7MgTiMn7O24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent Ca sites. In the first Ca site, Ca(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms to form CaO12 cuboctahedra that share corners with four equivalent Ca(3)O12 cuboctahedra, corners with eight equivalent Ca(1)O12 cuboctahedra, faces with two equivalent Mg(1)O12 cuboctahedra, faces with four equivalent Ca(2)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the second Ca site, Ca(2) is bonded to one O(1), one O(3), two equivalent O(2), two equivalent O(4), two equivalent O(6), and four equivalent O(5) atoms to form CaO12 cuboctahedra that share corners with four equivalent Mg(1)O12 cuboctahedra, corners with eight equivalent Ca(2)O12 cuboctahedra, faces with two equivalent Ca(3)O12 cuboctahedra, faces with four equivalent Ca(1)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the third Ca site, Ca(3) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(5) atoms to form CaO12 cuboctahedra that share corners with twelve equivalent Ca(1)O12 cuboctahedra, faces with six equivalent Ca(2)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. Mg(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form MgO12 cuboctahedra that share corners with twelve equivalent Ca(2)O12 cuboctahedra, faces with six equivalent Ca(1)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. Ti(1) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form TiO6 octahedra that share corners with six equivalent Mn(2)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Mn(3)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Mn site, Mn(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third Mn site, Mn(3) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mn(1)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one Ca(2), two equivalent Ca(1), one Mg(1), one Mn(1), and one Mn(3) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ca(2), two equivalent Ca(1), one Mg(1), one Mn(1), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one Ca(2), two equivalent Ca(1), one Mg(1), one Ti(1), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Ca(1), one Ca(3), two equivalent Ca(2), one Mn(1), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Ca(1), one Ca(3), two equivalent Ca(2), one Mn(1), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Ca(1), one Ca(3), two equivalent Ca(2), one Ti(1), and one Mn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ca7MgTiMn7O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.615
_cell_length_b   7.615
_cell_length_c   7.615
_cell_angle_alpha   90.007
_cell_angle_beta   90.007
_cell_angle_gamma   90.007
_symmetry_Int_Tables_number   1
_cell_volume   441.605
_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
  Ca  Ca0  1  0.751  0.249  0.751  1.0
  Ca  Ca1  1  0.751  0.249  0.249  1.0
  Ca  Ca2  1  0.751  0.751  0.249  1.0
  Ca  Ca3  1  0.249  0.249  0.751  1.0
  Ca  Ca4  1  0.249  0.249  0.249  1.0
  Ca  Ca5  1  0.249  0.751  0.751  1.0
  Ca  Ca6  1  0.249  0.751  0.249  1.0
  Mg  Mg7  1  0.751  0.751  0.751  1.0
  Ti  Ti8  1  0.501  0.501  0.501  1.0
  Mn  Mn9  1  0.500  1.000  1.000  1.0
  Mn  Mn10  1  0.500  1.000  0.500  1.0
  Mn  Mn11  1  0.500  0.500  1.000  1.0
  Mn  Mn12  1  1.000  1.000  1.000  1.0
  Mn  Mn13  1  1.000  1.000  0.500  1.0
  Mn  Mn14  1  1.000  0.500  1.000  1.0
  Mn  Mn15  1  1.000  0.500  0.500  1.0
  O  O16  1  0.750  0.999  0.999  1.0
  O  O17  1  0.750  0.999  0.501  1.0
  O  O18  1  0.750  0.501  0.999  1.0
  O  O19  1  0.753  0.501  0.501  1.0
  O  O20  1  0.250  1.000  1.000  1.0
  O  O21  1  0.250  1.000  0.500  1.0
  O  O22  1  0.250  0.500  1.000  1.0
  O  O23  1  0.247  0.500  0.500  1.0
  O  O24  1  0.500  0.250  1.000  1.0
  O  O25  1  0.500  0.247  0.500  1.0
  O  O26  1  0.501  0.750  0.999  1.0
  O  O27  1  0.501  0.753  0.501  1.0
  O  O28  1  1.000  0.250  1.000  1.0
  O  O29  1  1.000  0.250  0.500  1.0
  O  O30  1  0.999  0.750  0.999  1.0
  O  O31  1  0.999  0.750  0.501  1.0
  O  O32  1  0.501  0.999  0.750  1.0
  O  O33  1  0.500  1.000  0.250  1.0
  O  O34  1  0.501  0.501  0.753  1.0
  O  O35  1  0.500  0.500  0.247  1.0
  O  O36  1  0.999  0.999  0.750  1.0
  O  O37  1  1.000  1.000  0.250  1.0
  O  O38  1  0.999  0.501  0.750  1.0
  O  O39  1  1.000  0.500  0.250  1.0
[/CIF]
.
The material described by Ca7MgTiMn7O24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent Ca sites. In the first Ca site, Ca(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms to form CaO12 cuboctahedra that share corners with four equivalent Ca(3)O12 cuboctahedra, corners with eight equivalent Ca(1)O12 cuboctahedra, faces with two equivalent Mg(1)O12 cuboctahedra, faces with four equivalent Ca(2)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the second Ca site, Ca(2) is bonded to one O(1), one O(3), two equivalent O(2), two equivalent O(4), two equivalent O(6), and four equivalent O(5) atoms to form CaO12 cuboctahedra that share corners with four equivalent Mg(1)O12 cuboctahedra, corners with eight equivalent Ca(2)O12 cuboctahedra, faces with two equivalent Ca(3)O12 cuboctahedra, faces with four equivalent Ca(1)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the third Ca site, Ca(3) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(5) atoms to form CaO12 cuboctahedra that share corners with twelve equivalent Ca(1)O12 cuboctahedra, faces with six equivalent Ca(2)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. Mg(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form MgO12 cuboctahedra that share corners with twelve equivalent Ca(2)O12 cuboctahedra, faces with six equivalent Ca(1)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. Ti(1) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form TiO6 octahedra that share corners with six equivalent Mn(2)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Mn(3)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Mn site, Mn(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third Mn site, Mn(3) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mn(1)O6 octahedra,  a faceface with one Ca(3)O12 cuboctahedra,  a faceface with one Mg(1)O12 cuboctahedra, faces with three equivalent Ca(1)O12 cuboctahedra, and faces with three equivalent Ca(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one Ca(2), two equivalent Ca(1), one Mg(1), one Mn(1), and one Mn(3) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ca(2), two equivalent Ca(1), one Mg(1), one Mn(1), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one Ca(2), two equivalent Ca(1), one Mg(1), one Ti(1), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Ca(1), one Ca(3), two equivalent Ca(2), one Mn(1), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Ca(1), one Ca(3), two equivalent Ca(2), one Mn(1), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Ca(1), one Ca(3), two equivalent Ca(2), one Ti(1), and one Mn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ca7MgTiMn7O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.615
_cell_length_b   7.615
_cell_length_c   7.615
_cell_angle_alpha   90.007
_cell_angle_beta   90.007
_cell_angle_gamma   90.007
_symmetry_Int_Tables_number   1
_cell_volume   441.605
_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
  Ca  Ca0  1  0.751  0.249  0.751  1.0
  Ca  Ca1  1  0.751  0.249  0.249  1.0
  Ca  Ca2  1  0.751  0.751  0.249  1.0
  Ca  Ca3  1  0.249  0.249  0.751  1.0
  Ca  Ca4  1  0.249  0.249  0.249  1.0
  Ca  Ca5  1  0.249  0.751  0.751  1.0
  Ca  Ca6  1  0.249  0.751  0.249  1.0
  Mg  Mg7  1  0.751  0.751  0.751  1.0
  Ti  Ti8  1  0.501  0.501  0.501  1.0
  Mn  Mn9  1  0.500  1.000  1.000  1.0
  Mn  Mn10  1  0.500  1.000  0.500  1.0
  Mn  Mn11  1  0.500  0.500  1.000  1.0
  Mn  Mn12  1  1.000  1.000  1.000  1.0
  Mn  Mn13  1  1.000  1.000  0.500  1.0
  Mn  Mn14  1  1.000  0.500  1.000  1.0
  Mn  Mn15  1  1.000  0.500  0.500  1.0
  O  O16  1  0.750  0.999  0.999  1.0
  O  O17  1  0.750  0.999  0.501  1.0
  O  O18  1  0.750  0.501  0.999  1.0
  O  O19  1  0.753  0.501  0.501  1.0
  O  O20  1  0.250  1.000  1.000  1.0
  O  O21  1  0.250  1.000  0.500  1.0
  O  O22  1  0.250  0.500  1.000  1.0
  O  O23  1  0.247  0.500  0.500  1.0
  O  O24  1  0.500  0.250  1.000  1.0
  O  O25  1  0.500  0.247  0.500  1.0
  O  O26  1  0.501  0.750  0.999  1.0
  O  O27  1  0.501  0.753  0.501  1.0
  O  O28  1  1.000  0.250  1.000  1.0
  O  O29  1  1.000  0.250  0.500  1.0
  O  O30  1  0.999  0.750  0.999  1.0
  O  O31  1  0.999  0.750  0.501  1.0
  O  O32  1  0.501  0.999  0.750  1.0
  O  O33  1  0.500  1.000  0.250  1.0
  O  O34  1  0.501  0.501  0.753  1.0
  O  O35  1  0.500  0.500  0.247  1.0
  O  O36  1  0.999  0.999  0.750  1.0
  O  O37  1  1.000  1.000  0.250  1.0
  O  O38  1  0.999  0.501  0.750  1.0
  O  O39  1  1.000  0.500  0.250  1.0
[/CIF]
.