The material described by Na6TiMn(SiO3)6 crystallizes in the trigonal R3m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3), one O(5), two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form distorted NaO8 hexagonal bipyramids that share corners with four equivalent Na(1)O8 hexagonal bipyramids,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Si(1)O4 tetrahedra, and edges with two equivalent Si(2)O4 tetrahedra. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(5), and four equivalent O(4) atoms. Ti(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form TiO6 octahedra that share corners with three equivalent Si(1)O4 tetrahedra, corners with three equivalent Si(2)O4 tetrahedra, and edges with six equivalent Na(1)O8 hexagonal bipyramids. Mn(1) is bonded in a 6-coordinate geometry to three equivalent O(1) and three equivalent O(5) atoms. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O8 hexagonal bipyramid,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Si(2)O4 tetrahedra, and edges with two equivalent Na(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 30°. In the second Si site, Si(2) is bonded to one O(1), one O(5), and two equivalent O(4) atoms to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O8 hexagonal bipyramid,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Si(1)O4 tetrahedra, and edges with two equivalent Na(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to two equivalent Na(1), one Ti(1), one Mn(1), and one Si(2) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to two equivalent Na(1), one Ti(1), and one Si(1) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Na(1), two equivalent Na(2), and one Si(1) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Na(1), two equivalent Na(2), one Si(1), and one Si(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Na(1), two equivalent Na(2), one Mn(1), and one Si(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na6TiMn(SiO3)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.349
_cell_length_b   7.349
_cell_length_c   7.349
_cell_angle_alpha   88.095
_cell_angle_beta   88.095
_cell_angle_gamma   88.095
_symmetry_Int_Tables_number   1
_cell_volume   396.219
_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
  Na  Na0  1  0.010  0.010  0.482  1.0
  Na  Na1  1  0.010  0.482  0.010  1.0
  Na  Na2  1  0.032  0.469  0.469  1.0
  Na  Na3  1  0.469  0.469  0.032  1.0
  Na  Na4  1  0.482  0.010  0.010  1.0
  Na  Na5  1  0.469  0.032  0.469  1.0
  Ti  Ti6  1  0.008  0.008  0.008  1.0
  Mn  Mn7  1  0.753  0.753  0.753  1.0
  Si  Si8  1  0.279  0.279  0.733  1.0
  Si  Si9  1  0.733  0.279  0.279  1.0
  Si  Si10  1  0.724  0.267  0.724  1.0
  Si  Si11  1  0.279  0.733  0.279  1.0
  Si  Si12  1  0.267  0.724  0.724  1.0
  Si  Si13  1  0.724  0.724  0.267  1.0
  O  O14  1  0.818  0.084  0.818  1.0
  O  O15  1  0.910  0.179  0.179  1.0
  O  O16  1  0.179  0.179  0.910  1.0
  O  O17  1  0.542  0.217  0.217  1.0
  O  O18  1  0.217  0.217  0.542  1.0
  O  O19  1  0.502  0.243  0.764  1.0
  O  O20  1  0.764  0.243  0.502  1.0
  O  O21  1  0.786  0.464  0.786  1.0
  O  O22  1  0.243  0.502  0.764  1.0
  O  O23  1  0.764  0.502  0.243  1.0
  O  O24  1  0.217  0.542  0.217  1.0
  O  O25  1  0.243  0.764  0.502  1.0
  O  O26  1  0.502  0.764  0.243  1.0
  O  O27  1  0.786  0.786  0.464  1.0
  O  O28  1  0.464  0.786  0.786  1.0
  O  O29  1  0.084  0.818  0.818  1.0
  O  O30  1  0.818  0.818  0.084  1.0
  O  O31  1  0.179  0.910  0.179  1.0
[/CIF]
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The material described by Na6TiMn(SiO3)6 crystallizes in the trigonal R3m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3), one O(5), two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form distorted NaO8 hexagonal bipyramids that share corners with four equivalent Na(1)O8 hexagonal bipyramids,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Si(1)O4 tetrahedra, and edges with two equivalent Si(2)O4 tetrahedra. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(5), and four equivalent O(4) atoms. Ti(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form TiO6 octahedra that share corners with three equivalent Si(1)O4 tetrahedra, corners with three equivalent Si(2)O4 tetrahedra, and edges with six equivalent Na(1)O8 hexagonal bipyramids. Mn(1) is bonded in a 6-coordinate geometry to three equivalent O(1) and three equivalent O(5) atoms. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O8 hexagonal bipyramid,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Si(2)O4 tetrahedra, and edges with two equivalent Na(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 30°. In the second Si site, Si(2) is bonded to one O(1), one O(5), and two equivalent O(4) atoms to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O8 hexagonal bipyramid,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Si(1)O4 tetrahedra, and edges with two equivalent Na(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to two equivalent Na(1), one Ti(1), one Mn(1), and one Si(2) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to two equivalent Na(1), one Ti(1), and one Si(1) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Na(1), two equivalent Na(2), and one Si(1) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Na(1), two equivalent Na(2), one Si(1), and one Si(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Na(1), two equivalent Na(2), one Mn(1), and one Si(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na6TiMn(SiO3)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.349
_cell_length_b   7.349
_cell_length_c   7.349
_cell_angle_alpha   88.095
_cell_angle_beta   88.095
_cell_angle_gamma   88.095
_symmetry_Int_Tables_number   1
_cell_volume   396.219
_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
  Na  Na0  1  0.010  0.010  0.482  1.0
  Na  Na1  1  0.010  0.482  0.010  1.0
  Na  Na2  1  0.032  0.469  0.469  1.0
  Na  Na3  1  0.469  0.469  0.032  1.0
  Na  Na4  1  0.482  0.010  0.010  1.0
  Na  Na5  1  0.469  0.032  0.469  1.0
  Ti  Ti6  1  0.008  0.008  0.008  1.0
  Mn  Mn7  1  0.753  0.753  0.753  1.0
  Si  Si8  1  0.279  0.279  0.733  1.0
  Si  Si9  1  0.733  0.279  0.279  1.0
  Si  Si10  1  0.724  0.267  0.724  1.0
  Si  Si11  1  0.279  0.733  0.279  1.0
  Si  Si12  1  0.267  0.724  0.724  1.0
  Si  Si13  1  0.724  0.724  0.267  1.0
  O  O14  1  0.818  0.084  0.818  1.0
  O  O15  1  0.910  0.179  0.179  1.0
  O  O16  1  0.179  0.179  0.910  1.0
  O  O17  1  0.542  0.217  0.217  1.0
  O  O18  1  0.217  0.217  0.542  1.0
  O  O19  1  0.502  0.243  0.764  1.0
  O  O20  1  0.764  0.243  0.502  1.0
  O  O21  1  0.786  0.464  0.786  1.0
  O  O22  1  0.243  0.502  0.764  1.0
  O  O23  1  0.764  0.502  0.243  1.0
  O  O24  1  0.217  0.542  0.217  1.0
  O  O25  1  0.243  0.764  0.502  1.0
  O  O26  1  0.502  0.764  0.243  1.0
  O  O27  1  0.786  0.786  0.464  1.0
  O  O28  1  0.464  0.786  0.786  1.0
  O  O29  1  0.084  0.818  0.818  1.0
  O  O30  1  0.818  0.818  0.084  1.0
  O  O31  1  0.179  0.910  0.179  1.0
[/CIF]
.