The structure described by NaMg6SiO8 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. Na(1) is bonded to two equivalent O(2) and four equivalent O(3) atoms to form NaO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with four equivalent Na(1)O6 octahedra, edges with four equivalent Si(1)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1) and four equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Si(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to two equivalent O(2) and four equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Na(1)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(1)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. In the third Mg site, Mg(3) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form MgO6 octahedra that share corners with six equivalent Mg(3)O6 octahedra, edges with two equivalent Na(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Si(1)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. Si(1) is bonded to two equivalent O(1) and four equivalent O(3) atoms to form SiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Si(1)O6 octahedra, edges with four equivalent Na(1)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), four equivalent Mg(3), and one Si(1) atom to form OMg5Si octahedra that share corners with six equivalent O(1)Mg5Si octahedra, edges with four equivalent O(4)Mg6 octahedra, edges with four equivalent O(3)Na2Mg2Si2 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second O site, O(2) is bonded to one Na(1), one Mg(2), and four equivalent Mg(3) atoms to form ONaMg5 octahedra that share corners with six equivalent O(2)NaMg5 octahedra, edges with four equivalent O(1)Mg5Si octahedra, edges with four equivalent O(4)Mg6 octahedra, and edges with four equivalent O(3)Na2Mg2Si2 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the third O site, O(3) is bonded to two equivalent Na(1), two equivalent Mg(3), and two equivalent Si(1) atoms to form ONa2Mg2Si2 octahedra that share corners with two equivalent O(4)Mg6 octahedra, corners with four equivalent O(3)Na2Mg2Si2 octahedra, edges with four equivalent O(1)Mg5Si octahedra, edges with four equivalent O(3)Na2Mg2Si2 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(3)Na2Mg2Si2 octahedra, corners with four equivalent O(4)Mg6 octahedra, edges with four equivalent O(1)Mg5Si octahedra, edges with four equivalent O(4)Mg6 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg6SiO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.618
_cell_length_b   4.273
_cell_length_c   4.273
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   157.374
_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  0.000  0.500  0.500  1.0
  Mg  Mg1  1  0.500  0.000  0.000  1.0
  Mg  Mg2  1  0.500  0.500  0.500  1.0
  Mg  Mg3  1  0.249  0.000  0.500  1.0
  Mg  Mg4  1  0.751  0.000  0.500  1.0
  Mg  Mg5  1  0.249  0.500  0.000  1.0
  Mg  Mg6  1  0.751  0.500  0.000  1.0
  Si  Si7  1  0.000  0.000  0.000  1.0
  O  O8  1  0.237  0.000  0.000  1.0
  O  O9  1  0.763  0.000  0.000  1.0
  O  O10  1  0.265  0.500  0.500  1.0
  O  O11  1  0.735  0.500  0.500  1.0
  O  O12  1  0.000  0.000  0.500  1.0
  O  O13  1  0.500  0.000  0.500  1.0
  O  O14  1  0.000  0.500  0.000  1.0
  O  O15  1  0.500  0.500  0.000  1.0
[/CIF]
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The structure described by NaMg6SiO8 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. Na(1) is bonded to two equivalent O(2) and four equivalent O(3) atoms to form NaO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with four equivalent Na(1)O6 octahedra, edges with four equivalent Si(1)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1) and four equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Si(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to two equivalent O(2) and four equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Na(1)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(1)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. In the third Mg site, Mg(3) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form MgO6 octahedra that share corners with six equivalent Mg(3)O6 octahedra, edges with two equivalent Na(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Si(1)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. Si(1) is bonded to two equivalent O(1) and four equivalent O(3) atoms to form SiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Si(1)O6 octahedra, edges with four equivalent Na(1)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), four equivalent Mg(3), and one Si(1) atom to form OMg5Si octahedra that share corners with six equivalent O(1)Mg5Si octahedra, edges with four equivalent O(4)Mg6 octahedra, edges with four equivalent O(3)Na2Mg2Si2 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second O site, O(2) is bonded to one Na(1), one Mg(2), and four equivalent Mg(3) atoms to form ONaMg5 octahedra that share corners with six equivalent O(2)NaMg5 octahedra, edges with four equivalent O(1)Mg5Si octahedra, edges with four equivalent O(4)Mg6 octahedra, and edges with four equivalent O(3)Na2Mg2Si2 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the third O site, O(3) is bonded to two equivalent Na(1), two equivalent Mg(3), and two equivalent Si(1) atoms to form ONa2Mg2Si2 octahedra that share corners with two equivalent O(4)Mg6 octahedra, corners with four equivalent O(3)Na2Mg2Si2 octahedra, edges with four equivalent O(1)Mg5Si octahedra, edges with four equivalent O(3)Na2Mg2Si2 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(3)Na2Mg2Si2 octahedra, corners with four equivalent O(4)Mg6 octahedra, edges with four equivalent O(1)Mg5Si octahedra, edges with four equivalent O(4)Mg6 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg6SiO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.618
_cell_length_b   4.273
_cell_length_c   4.273
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   157.374
_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  0.000  0.500  0.500  1.0
  Mg  Mg1  1  0.500  0.000  0.000  1.0
  Mg  Mg2  1  0.500  0.500  0.500  1.0
  Mg  Mg3  1  0.249  0.000  0.500  1.0
  Mg  Mg4  1  0.751  0.000  0.500  1.0
  Mg  Mg5  1  0.249  0.500  0.000  1.0
  Mg  Mg6  1  0.751  0.500  0.000  1.0
  Si  Si7  1  0.000  0.000  0.000  1.0
  O  O8  1  0.237  0.000  0.000  1.0
  O  O9  1  0.763  0.000  0.000  1.0
  O  O10  1  0.265  0.500  0.500  1.0
  O  O11  1  0.735  0.500  0.500  1.0
  O  O12  1  0.000  0.000  0.500  1.0
  O  O13  1  0.500  0.000  0.500  1.0
  O  O14  1  0.000  0.500  0.000  1.0
  O  O15  1  0.500  0.500  0.000  1.0
[/CIF]
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