The crystal structure described by Sr2Mg2La4RuO12 is (La,Ba)CuO4-derived structured and crystallizes in the tetragonal I4/mmm space group. Sr(1) is bonded in a 9-coordinate geometry to one O(3), four equivalent O(2), and four equivalent O(5) atoms. Mg(1) is bonded to one O(1), one O(3), and four equivalent O(4) atoms to form corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to four equivalent O(4) and five equivalent O(1) atoms. In the second La site, La(2) is bonded in a 9-coordinate geometry to one O(2), four equivalent O(3), and four equivalent O(4) atoms. Ru(1) is bonded to two equivalent O(2) and four equivalent O(5) atoms to form corner-sharing RuO6 octahedra. The corner-sharing octahedra are not tilted. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1) and five equivalent La(1) atoms to form distorted OLa5Mg octahedra that share  a cornercorner with one O(3)SrLa4Mg octahedra, corners with four equivalent O(1)La5Mg octahedra, corners with twelve equivalent O(4)La4Mg2 octahedra, edges with eight equivalent O(1)La5Mg octahedra, and faces with four equivalent O(4)La4Mg2 octahedra. The corner-sharing octahedral tilt angles range from 0-50°. In the second O site, O(2) is bonded to four equivalent Sr(1), one La(2), and one Ru(1) atom to form OSr4LaRu octahedra that share corners with four equivalent O(4)La4Mg2 octahedra, corners with five equivalent O(2)Sr4LaRu octahedra, corners with eight equivalent O(5)Sr4Ru2 octahedra, edges with four equivalent O(2)Sr4LaRu octahedra, edges with four equivalent O(3)SrLa4Mg octahedra, and faces with four equivalent O(5)Sr4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 0-55°. In the third O site, O(3) is bonded to one Sr(1), one Mg(1), and four equivalent La(2) atoms to form distorted OSrLa4Mg octahedra that share  a cornercorner with one O(1)La5Mg octahedra, corners with four equivalent O(5)Sr4Ru2 octahedra, corners with four equivalent O(3)SrLa4Mg octahedra, corners with eight equivalent O(4)La4Mg2 octahedra, edges with four equivalent O(2)Sr4LaRu octahedra, edges with four equivalent O(3)SrLa4Mg octahedra, and faces with four equivalent O(4)La4Mg2 octahedra. The corner-sharing octahedral tilt angles range from 0-51°. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent La(1), and two equivalent La(2) atoms to form distorted OLa4Mg2 octahedra that share corners with two equivalent O(4)La4Mg2 octahedra, corners with two equivalent O(2)Sr4LaRu octahedra, corners with four equivalent O(3)SrLa4Mg octahedra, corners with six equivalent O(1)La5Mg octahedra, edges with two equivalent O(4)La4Mg2 octahedra, faces with two equivalent O(1)La5Mg octahedra, faces with two equivalent O(3)SrLa4Mg octahedra, and faces with four equivalent O(4)La4Mg2 octahedra. The corner-sharing octahedral tilt angles range from 1-51°. In the fifth O site, O(5) is bonded to four equivalent Sr(1) and two equivalent Ru(1) atoms to form OSr4Ru2 octahedra that share corners with two equivalent O(5)Sr4Ru2 octahedra, corners with four equivalent O(3)SrLa4Mg octahedra, corners with eight equivalent O(2)Sr4LaRu octahedra, edges with two equivalent O(5)Sr4Ru2 octahedra, faces with four equivalent O(2)Sr4LaRu octahedra, and faces with four equivalent O(5)Sr4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 0-55°. is represented by the CIF card [CIF]
data_Sr2La4Mg2RuO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.230
_cell_length_b   19.230
_cell_length_c   19.230
_cell_angle_alpha   168.320
_cell_angle_beta   168.320
_cell_angle_gamma   16.547
_symmetry_Int_Tables_number   1
_cell_volume   291.418
_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
  Sr  Sr0  1  0.548  0.548  0.000  1.0
  Sr  Sr1  1  0.452  0.452  0.000  1.0
  La  La2  1  0.213  0.213  0.000  1.0
  La  La3  1  0.879  0.879  0.000  1.0
  La  La4  1  0.787  0.787  0.000  1.0
  La  La5  1  0.121  0.121  0.000  1.0
  Mg  Mg6  1  0.666  0.666  0.000  1.0
  Mg  Mg7  1  0.334  0.334  0.000  1.0
  Ru  Ru8  1  0.000  0.000  0.000  1.0
  O  O9  1  0.274  0.274  0.000  1.0
  O  O10  1  0.944  0.944  0.000  1.0
  O  O11  1  0.610  0.610  0.000  1.0
  O  O12  1  0.726  0.726  0.000  1.0
  O  O13  1  0.390  0.390  0.000  1.0
  O  O14  1  0.056  0.056  0.000  1.0
  O  O15  1  0.667  0.167  0.500  1.0
  O  O16  1  0.333  0.833  0.500  1.0
  O  O17  1  0.000  0.500  0.500  1.0
  O  O18  1  0.833  0.333  0.500  1.0
  O  O19  1  0.500  0.000  0.500  1.0
  O  O20  1  0.167  0.667  0.500  1.0
[/CIF]
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The crystal structure described by Sr2Mg2La4RuO12 is (La,Ba)CuO4-derived structured and crystallizes in the tetragonal I4/mmm space group. Sr(1) is bonded in a 9-coordinate geometry to one O(3), four equivalent O(2), and four equivalent O(5) atoms. Mg(1) is bonded to one O(1), one O(3), and four equivalent O(4) atoms to form corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to four equivalent O(4) and five equivalent O(1) atoms. In the second La site, La(2) is bonded in a 9-coordinate geometry to one O(2), four equivalent O(3), and four equivalent O(4) atoms. Ru(1) is bonded to two equivalent O(2) and four equivalent O(5) atoms to form corner-sharing RuO6 octahedra. The corner-sharing octahedra are not tilted. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1) and five equivalent La(1) atoms to form distorted OLa5Mg octahedra that share  a cornercorner with one O(3)SrLa4Mg octahedra, corners with four equivalent O(1)La5Mg octahedra, corners with twelve equivalent O(4)La4Mg2 octahedra, edges with eight equivalent O(1)La5Mg octahedra, and faces with four equivalent O(4)La4Mg2 octahedra. The corner-sharing octahedral tilt angles range from 0-50°. In the second O site, O(2) is bonded to four equivalent Sr(1), one La(2), and one Ru(1) atom to form OSr4LaRu octahedra that share corners with four equivalent O(4)La4Mg2 octahedra, corners with five equivalent O(2)Sr4LaRu octahedra, corners with eight equivalent O(5)Sr4Ru2 octahedra, edges with four equivalent O(2)Sr4LaRu octahedra, edges with four equivalent O(3)SrLa4Mg octahedra, and faces with four equivalent O(5)Sr4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 0-55°. In the third O site, O(3) is bonded to one Sr(1), one Mg(1), and four equivalent La(2) atoms to form distorted OSrLa4Mg octahedra that share  a cornercorner with one O(1)La5Mg octahedra, corners with four equivalent O(5)Sr4Ru2 octahedra, corners with four equivalent O(3)SrLa4Mg octahedra, corners with eight equivalent O(4)La4Mg2 octahedra, edges with four equivalent O(2)Sr4LaRu octahedra, edges with four equivalent O(3)SrLa4Mg octahedra, and faces with four equivalent O(4)La4Mg2 octahedra. The corner-sharing octahedral tilt angles range from 0-51°. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent La(1), and two equivalent La(2) atoms to form distorted OLa4Mg2 octahedra that share corners with two equivalent O(4)La4Mg2 octahedra, corners with two equivalent O(2)Sr4LaRu octahedra, corners with four equivalent O(3)SrLa4Mg octahedra, corners with six equivalent O(1)La5Mg octahedra, edges with two equivalent O(4)La4Mg2 octahedra, faces with two equivalent O(1)La5Mg octahedra, faces with two equivalent O(3)SrLa4Mg octahedra, and faces with four equivalent O(4)La4Mg2 octahedra. The corner-sharing octahedral tilt angles range from 1-51°. In the fifth O site, O(5) is bonded to four equivalent Sr(1) and two equivalent Ru(1) atoms to form OSr4Ru2 octahedra that share corners with two equivalent O(5)Sr4Ru2 octahedra, corners with four equivalent O(3)SrLa4Mg octahedra, corners with eight equivalent O(2)Sr4LaRu octahedra, edges with two equivalent O(5)Sr4Ru2 octahedra, faces with four equivalent O(2)Sr4LaRu octahedra, and faces with four equivalent O(5)Sr4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 0-55°. is represented by the CIF card [CIF]
data_Sr2La4Mg2RuO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.230
_cell_length_b   19.230
_cell_length_c   19.230
_cell_angle_alpha   168.320
_cell_angle_beta   168.320
_cell_angle_gamma   16.547
_symmetry_Int_Tables_number   1
_cell_volume   291.418
_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
  Sr  Sr0  1  0.548  0.548  0.000  1.0
  Sr  Sr1  1  0.452  0.452  0.000  1.0
  La  La2  1  0.213  0.213  0.000  1.0
  La  La3  1  0.879  0.879  0.000  1.0
  La  La4  1  0.787  0.787  0.000  1.0
  La  La5  1  0.121  0.121  0.000  1.0
  Mg  Mg6  1  0.666  0.666  0.000  1.0
  Mg  Mg7  1  0.334  0.334  0.000  1.0
  Ru  Ru8  1  0.000  0.000  0.000  1.0
  O  O9  1  0.274  0.274  0.000  1.0
  O  O10  1  0.944  0.944  0.000  1.0
  O  O11  1  0.610  0.610  0.000  1.0
  O  O12  1  0.726  0.726  0.000  1.0
  O  O13  1  0.390  0.390  0.000  1.0
  O  O14  1  0.056  0.056  0.000  1.0
  O  O15  1  0.667  0.167  0.500  1.0
  O  O16  1  0.333  0.833  0.500  1.0
  O  O17  1  0.000  0.500  0.500  1.0
  O  O18  1  0.833  0.333  0.500  1.0
  O  O19  1  0.500  0.000  0.500  1.0
  O  O20  1  0.167  0.667  0.500  1.0
[/CIF]
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