The structure described by BaMgSiO4 crystallizes in the hexagonal P6_3 space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to three equivalent O(1), three equivalent O(2), and three equivalent O(4) atoms. In the second Ba site, Ba(2) is bonded in a distorted q6 geometry to three equivalent O(1) and six equivalent O(3) atoms. In the third Ba site, Ba(3) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(4) atoms. Mg(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form MgO4 tetrahedra that share corners with four equivalent Si(1)O4 tetrahedra. Si(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SiO4 tetrahedra that share corners with four equivalent Mg(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Ba(1), one Ba(2), one Mg(1), and one Si(1) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Ba(1), one Ba(3), one Mg(1), and one Si(1) atom. In the third O site, O(3) is bonded in a distorted bent 120 degrees geometry to two equivalent Ba(2), one Mg(1), and one Si(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one Ba(1), one Ba(3), one Mg(1), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaMgSiO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.242
_cell_length_b   9.242
_cell_length_c   8.883
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   657.078
_cell_formula_units_Z   6
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  0.667  0.333  0.739  1.0
  Ba  Ba1  1  0.000  0.000  0.248  1.0
  Ba  Ba2  1  0.333  0.667  0.239  1.0
  Ba  Ba3  1  0.333  0.667  0.731  1.0
  Ba  Ba4  1  0.000  0.000  0.748  1.0
  Ba  Ba5  1  0.667  0.333  0.231  1.0
  Mg  Mg6  1  0.678  0.666  0.539  1.0
  Mg  Mg7  1  0.011  0.678  0.039  1.0
  Mg  Mg8  1  0.989  0.322  0.539  1.0
  Mg  Mg9  1  0.334  0.011  0.539  1.0
  Mg  Mg10  1  0.666  0.989  0.039  1.0
  Mg  Mg11  1  0.322  0.334  0.039  1.0
  Si  Si12  1  0.328  0.339  0.434  1.0
  Si  Si13  1  0.011  0.672  0.434  1.0
  Si  Si14  1  0.661  0.989  0.434  1.0
  Si  Si15  1  0.989  0.328  0.934  1.0
  Si  Si16  1  0.672  0.661  0.934  1.0
  Si  Si17  1  0.339  0.011  0.934  1.0
  O  O18  1  0.650  0.943  0.254  1.0
  O  O19  1  0.533  0.095  0.997  1.0
  O  O20  1  0.095  0.563  0.497  1.0
  O  O21  1  0.764  0.907  0.515  1.0
  O  O22  1  0.194  0.430  0.956  1.0
  O  O23  1  0.467  0.905  0.497  1.0
  O  O24  1  0.293  0.350  0.254  1.0
  O  O25  1  0.570  0.763  0.956  1.0
  O  O26  1  0.563  0.467  0.997  1.0
  O  O27  1  0.943  0.293  0.754  1.0
  O  O28  1  0.707  0.650  0.754  1.0
  O  O29  1  0.806  0.570  0.456  1.0
  O  O30  1  0.905  0.437  0.997  1.0
  O  O31  1  0.237  0.806  0.956  1.0
  O  O32  1  0.437  0.533  0.497  1.0
  O  O33  1  0.142  0.236  0.515  1.0
  O  O34  1  0.236  0.093  0.015  1.0
  O  O35  1  0.858  0.764  0.015  1.0
  O  O36  1  0.907  0.142  0.015  1.0
  O  O37  1  0.057  0.707  0.254  1.0
  O  O38  1  0.430  0.237  0.456  1.0
  O  O39  1  0.763  0.194  0.456  1.0
  O  O40  1  0.093  0.858  0.515  1.0
  O  O41  1  0.350  0.057  0.754  1.0
[/CIF]
.
The structure described by BaMgSiO4 crystallizes in the hexagonal P6_3 space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to three equivalent O(1), three equivalent O(2), and three equivalent O(4) atoms. In the second Ba site, Ba(2) is bonded in a distorted q6 geometry to three equivalent O(1) and six equivalent O(3) atoms. In the third Ba site, Ba(3) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(4) atoms. Mg(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form MgO4 tetrahedra that share corners with four equivalent Si(1)O4 tetrahedra. Si(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SiO4 tetrahedra that share corners with four equivalent Mg(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Ba(1), one Ba(2), one Mg(1), and one Si(1) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Ba(1), one Ba(3), one Mg(1), and one Si(1) atom. In the third O site, O(3) is bonded in a distorted bent 120 degrees geometry to two equivalent Ba(2), one Mg(1), and one Si(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one Ba(1), one Ba(3), one Mg(1), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaMgSiO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.242
_cell_length_b   9.242
_cell_length_c   8.883
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   657.078
_cell_formula_units_Z   6
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  0.667  0.333  0.739  1.0
  Ba  Ba1  1  0.000  0.000  0.248  1.0
  Ba  Ba2  1  0.333  0.667  0.239  1.0
  Ba  Ba3  1  0.333  0.667  0.731  1.0
  Ba  Ba4  1  0.000  0.000  0.748  1.0
  Ba  Ba5  1  0.667  0.333  0.231  1.0
  Mg  Mg6  1  0.678  0.666  0.539  1.0
  Mg  Mg7  1  0.011  0.678  0.039  1.0
  Mg  Mg8  1  0.989  0.322  0.539  1.0
  Mg  Mg9  1  0.334  0.011  0.539  1.0
  Mg  Mg10  1  0.666  0.989  0.039  1.0
  Mg  Mg11  1  0.322  0.334  0.039  1.0
  Si  Si12  1  0.328  0.339  0.434  1.0
  Si  Si13  1  0.011  0.672  0.434  1.0
  Si  Si14  1  0.661  0.989  0.434  1.0
  Si  Si15  1  0.989  0.328  0.934  1.0
  Si  Si16  1  0.672  0.661  0.934  1.0
  Si  Si17  1  0.339  0.011  0.934  1.0
  O  O18  1  0.650  0.943  0.254  1.0
  O  O19  1  0.533  0.095  0.997  1.0
  O  O20  1  0.095  0.563  0.497  1.0
  O  O21  1  0.764  0.907  0.515  1.0
  O  O22  1  0.194  0.430  0.956  1.0
  O  O23  1  0.467  0.905  0.497  1.0
  O  O24  1  0.293  0.350  0.254  1.0
  O  O25  1  0.570  0.763  0.956  1.0
  O  O26  1  0.563  0.467  0.997  1.0
  O  O27  1  0.943  0.293  0.754  1.0
  O  O28  1  0.707  0.650  0.754  1.0
  O  O29  1  0.806  0.570  0.456  1.0
  O  O30  1  0.905  0.437  0.997  1.0
  O  O31  1  0.237  0.806  0.956  1.0
  O  O32  1  0.437  0.533  0.497  1.0
  O  O33  1  0.142  0.236  0.515  1.0
  O  O34  1  0.236  0.093  0.015  1.0
  O  O35  1  0.858  0.764  0.015  1.0
  O  O36  1  0.907  0.142  0.015  1.0
  O  O37  1  0.057  0.707  0.254  1.0
  O  O38  1  0.430  0.237  0.456  1.0
  O  O39  1  0.763  0.194  0.456  1.0
  O  O40  1  0.093  0.858  0.515  1.0
  O  O41  1  0.350  0.057  0.754  1.0
[/CIF]
.