The crystal structure described by CsMg14TiO16 is Caswellsilverite-derived structured and crystallizes in the tetragonal P4/mmm space group. Cs(1) is bonded to two equivalent O(6) and four equivalent O(2) atoms to form CsO6 octahedra that share corners with two equivalent Cs(1)O6 octahedra; corners with four equivalent Mg(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; and edges with eight Mg(3,3)O6 octahedra. The corner-sharing octahedra are not tilted. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Cs(1)O6 octahedra; corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Ti(1)O6 octahedra; edges with four equivalent Mg(2)O6 octahedra; edges with four Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra; corners with four equivalent Mg(2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; edges with two equivalent Ti(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra; corners with four Mg(3,3)O6 octahedra; edges with two equivalent Cs(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fourth Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra; corners with four Mg(3,3)O6 octahedra; edges with two equivalent Cs(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fifth Mg site, Mg(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with six equivalent Mg(4)O6 octahedra,  an edgeedge with one Cs(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. Ti(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(2)O6 octahedra. The corner-sharing octahedra are not tilted. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), and one Ti(1) atom to form OMg5Ti octahedra that share corners with two equivalent O(2)CsMg5 octahedra, corners with four equivalent O(1)Mg5Ti octahedra, edges with two equivalent O(2)CsMg5 octahedra, edges with two equivalent O(4)Mg4Ti2 octahedra, edges with two equivalent O(1)Mg5Ti octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to one Cs(1), one Mg(1), two equivalent Mg(3), and two equivalent Mg(4) atoms to form distorted OCsMg5 octahedra that share corners with two equivalent O(1)Mg5Ti octahedra, corners with four equivalent O(2)CsMg5 octahedra, edges with two equivalent O(6)Cs2Mg4 octahedra, edges with two equivalent O(2)CsMg5 octahedra, edges with two equivalent O(1)Mg5Ti octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third O site, O(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(6)Cs2Mg4 octahedra,  an edgeedge with one O(4)Mg4Ti2 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(2)CsMg5 octahedra, and edges with four equivalent O(1)Mg5Ti octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fourth O site, O(4) is bonded to four equivalent Mg(2) and two equivalent Ti(1) atoms to form OMg4Ti2 octahedra that share corners with two equivalent O(4)Mg4Ti2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(1)Mg5Ti octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to two equivalent Mg(1); two equivalent Mg(2); and two Mg(3,3) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Cs2Mg4 octahedra, corners with two equivalent O(4)Mg4Ti2 octahedra, corners with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(2)CsMg5 octahedra, edges with four equivalent O(1)Mg5Ti octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Cs(1) and four Mg(3,3) atoms to form OCs2Mg4 octahedra that share corners with two equivalent O(6)Cs2Mg4 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(2)CsMg5 octahedra. The corner-sharing octahedra are not tilted. is represented by the CIF card [CIF]
data_CsMg14TiO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.808
_cell_length_b   8.808
_cell_length_c   4.451
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   345.324
_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
  Cs  Cs0  1  0.500  0.500  0.000  1.0
  Mg  Mg1  1  1.000  0.500  0.000  1.0
  Mg  Mg2  1  0.500  0.000  1.000  1.0
  Mg  Mg3  1  0.000  0.251  0.500  1.0
  Mg  Mg4  1  0.000  0.749  0.500  1.0
  Mg  Mg5  1  0.500  0.238  0.500  1.0
  Mg  Mg6  1  0.500  0.762  0.500  1.0
  Mg  Mg7  1  0.251  0.000  0.500  1.0
  Mg  Mg8  1  0.238  0.500  0.500  1.0
  Mg  Mg9  1  0.749  1.000  0.500  1.0
  Mg  Mg10  1  0.762  0.500  0.500  1.0
  Mg  Mg11  1  0.249  0.249  1.000  1.0
  Mg  Mg12  1  0.249  0.751  0.000  1.0
  Mg  Mg13  1  0.751  0.249  1.000  1.0
  Mg  Mg14  1  0.751  0.751  0.000  1.0
  Ti  Ti15  1  0.000  1.000  0.000  1.0
  O  O16  1  0.239  0.000  1.000  1.0
  O  O17  1  0.213  0.500  1.000  1.0
  O  O18  1  0.761  1.000  0.000  1.0
  O  O19  1  0.787  0.500  0.000  1.0
  O  O20  1  0.249  0.249  0.500  1.0
  O  O21  1  0.249  0.751  0.500  1.0
  O  O22  1  0.751  0.249  0.500  1.0
  O  O23  1  0.751  0.751  0.500  1.0
  O  O24  1  1.000  0.000  0.500  1.0
  O  O25  1  0.000  0.500  0.500  1.0
  O  O26  1  0.500  1.000  0.500  1.0
  O  O27  1  0.500  0.500  0.500  1.0
  O  O28  1  0.000  0.239  0.000  1.0
  O  O29  1  0.000  0.761  1.000  1.0
  O  O30  1  0.500  0.213  1.000  1.0
  O  O31  1  0.500  0.787  1.000  1.0
[/CIF]
.
The crystal structure described by CsMg14TiO16 is Caswellsilverite-derived structured and crystallizes in the tetragonal P4/mmm space group. Cs(1) is bonded to two equivalent O(6) and four equivalent O(2) atoms to form CsO6 octahedra that share corners with two equivalent Cs(1)O6 octahedra; corners with four equivalent Mg(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; and edges with eight Mg(3,3)O6 octahedra. The corner-sharing octahedra are not tilted. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Cs(1)O6 octahedra; corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Ti(1)O6 octahedra; edges with four equivalent Mg(2)O6 octahedra; edges with four Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra; corners with four equivalent Mg(2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; edges with two equivalent Ti(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra; corners with four Mg(3,3)O6 octahedra; edges with two equivalent Cs(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fourth Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra; corners with four Mg(3,3)O6 octahedra; edges with two equivalent Cs(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fifth Mg site, Mg(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with six equivalent Mg(4)O6 octahedra,  an edgeedge with one Cs(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. Ti(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(2)O6 octahedra. The corner-sharing octahedra are not tilted. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), and one Ti(1) atom to form OMg5Ti octahedra that share corners with two equivalent O(2)CsMg5 octahedra, corners with four equivalent O(1)Mg5Ti octahedra, edges with two equivalent O(2)CsMg5 octahedra, edges with two equivalent O(4)Mg4Ti2 octahedra, edges with two equivalent O(1)Mg5Ti octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to one Cs(1), one Mg(1), two equivalent Mg(3), and two equivalent Mg(4) atoms to form distorted OCsMg5 octahedra that share corners with two equivalent O(1)Mg5Ti octahedra, corners with four equivalent O(2)CsMg5 octahedra, edges with two equivalent O(6)Cs2Mg4 octahedra, edges with two equivalent O(2)CsMg5 octahedra, edges with two equivalent O(1)Mg5Ti octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third O site, O(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(6)Cs2Mg4 octahedra,  an edgeedge with one O(4)Mg4Ti2 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(2)CsMg5 octahedra, and edges with four equivalent O(1)Mg5Ti octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fourth O site, O(4) is bonded to four equivalent Mg(2) and two equivalent Ti(1) atoms to form OMg4Ti2 octahedra that share corners with two equivalent O(4)Mg4Ti2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(1)Mg5Ti octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to two equivalent Mg(1); two equivalent Mg(2); and two Mg(3,3) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Cs2Mg4 octahedra, corners with two equivalent O(4)Mg4Ti2 octahedra, corners with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(2)CsMg5 octahedra, edges with four equivalent O(1)Mg5Ti octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Cs(1) and four Mg(3,3) atoms to form OCs2Mg4 octahedra that share corners with two equivalent O(6)Cs2Mg4 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(2)CsMg5 octahedra. The corner-sharing octahedra are not tilted. is represented by the CIF card [CIF]
data_CsMg14TiO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.808
_cell_length_b   8.808
_cell_length_c   4.451
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   345.324
_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
  Cs  Cs0  1  0.500  0.500  0.000  1.0
  Mg  Mg1  1  1.000  0.500  0.000  1.0
  Mg  Mg2  1  0.500  0.000  1.000  1.0
  Mg  Mg3  1  0.000  0.251  0.500  1.0
  Mg  Mg4  1  0.000  0.749  0.500  1.0
  Mg  Mg5  1  0.500  0.238  0.500  1.0
  Mg  Mg6  1  0.500  0.762  0.500  1.0
  Mg  Mg7  1  0.251  0.000  0.500  1.0
  Mg  Mg8  1  0.238  0.500  0.500  1.0
  Mg  Mg9  1  0.749  1.000  0.500  1.0
  Mg  Mg10  1  0.762  0.500  0.500  1.0
  Mg  Mg11  1  0.249  0.249  1.000  1.0
  Mg  Mg12  1  0.249  0.751  0.000  1.0
  Mg  Mg13  1  0.751  0.249  1.000  1.0
  Mg  Mg14  1  0.751  0.751  0.000  1.0
  Ti  Ti15  1  0.000  1.000  0.000  1.0
  O  O16  1  0.239  0.000  1.000  1.0
  O  O17  1  0.213  0.500  1.000  1.0
  O  O18  1  0.761  1.000  0.000  1.0
  O  O19  1  0.787  0.500  0.000  1.0
  O  O20  1  0.249  0.249  0.500  1.0
  O  O21  1  0.249  0.751  0.500  1.0
  O  O22  1  0.751  0.249  0.500  1.0
  O  O23  1  0.751  0.751  0.500  1.0
  O  O24  1  1.000  0.000  0.500  1.0
  O  O25  1  0.000  0.500  0.500  1.0
  O  O26  1  0.500  1.000  0.500  1.0
  O  O27  1  0.500  0.500  0.500  1.0
  O  O28  1  0.000  0.239  0.000  1.0
  O  O29  1  0.000  0.761  1.000  1.0
  O  O30  1  0.500  0.213  1.000  1.0
  O  O31  1  0.500  0.787  1.000  1.0
[/CIF]
.