The material structure described by Na4Mg(CoO3)2 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), one O(4), one O(5), and one O(6) atom to form distorted NaO5 trigonal bipyramids that share  a cornercorner with one Co(1)O4 tetrahedra,  a cornercorner with one Co(2)O4 tetrahedra, corners with two equivalent Na(3)O4 tetrahedra, corners with two equivalent Mg(1)O4 trigonal pyramids, edges with two equivalent Na(2)O5 square pyramids,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Co(1)O4 tetrahedra,  an edgeedge with one Co(2)O4 tetrahedra, and  an edgeedge with one Mg(1)O4 trigonal pyramid. In the second Na site, Na(2) is bonded to one O(1), one O(2), one O(3), one O(4), and one O(6) atom to form distorted NaO5 square pyramids that share  a cornercorner with one Na(3)O4 tetrahedra,  a cornercorner with one Co(2)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with three equivalent Mg(1)O4 trigonal pyramids,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Co(1)O4 tetrahedra,  an edgeedge with one Co(2)O4 tetrahedra, and edges with two equivalent Na(1)O5 trigonal bipyramids. In the third Na site, Na(3) is bonded to one O(1), one O(2), one O(5), and one O(6) atom to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(2)O5 square pyramid, corners with two equivalent Co(2)O4 tetrahedra, corners with three equivalent Co(1)O4 tetrahedra, corners with two equivalent Na(1)O5 trigonal bipyramids, corners with three equivalent Mg(1)O4 trigonal pyramids,  an edgeedge with one Na(2)O5 square pyramid, and  an edgeedge with one Na(1)O5 trigonal bipyramid. In the fourth Na site, Na(4) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. Mg(1) is bonded to one O(1), one O(2), one O(4), and one O(5) atom to form distorted MgO4 trigonal pyramids that share corners with three equivalent Na(2)O5 square pyramids, corners with two equivalent Co(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with two equivalent Na(1)O5 trigonal bipyramids,  an edgeedge with one Co(1)O4 tetrahedra, and  an edgeedge with one Na(1)O5 trigonal bipyramid. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(3), and one O(6) atom to form distorted CoO4 tetrahedra that share corners with two equivalent Na(2)O5 square pyramids, corners with two equivalent Co(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra,  a cornercorner with one Na(1)O5 trigonal bipyramid,  an edgeedge with one Na(2)O5 square pyramid,  an edgeedge with one Na(1)O5 trigonal bipyramid, and  an edgeedge with one Mg(1)O4 trigonal pyramid. In the second Co site, Co(2) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form CoO4 tetrahedra that share  a cornercorner with one Na(2)O5 square pyramid, corners with two equivalent Na(3)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra,  a cornercorner with one Na(1)O5 trigonal bipyramid, corners with two equivalent Mg(1)O4 trigonal pyramids,  an edgeedge with one Na(2)O5 square pyramid, and  an edgeedge with one Na(1)O5 trigonal bipyramid. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(3), one Na(4), one Mg(1), and one Co(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one Na(1), one Na(2), one Na(3), one Na(4), one Mg(1), and one Co(1) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Na(2), one Na(4), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(4), one Mg(1), and one Co(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal bipyramidal geometry to one Na(1), one Na(3), one Na(4), one Mg(1), and one Co(2) atom. In the sixth O site, O(6) is bonded in a 6-coordinate geometry to one Na(1), one Na(2), one Na(3), one Na(4), one Co(1), and one Co(2) atom. is represented by the CIF file [CIF]
data_Na4Mg(CoO3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.111
_cell_length_b   6.052
_cell_length_c   6.426
_cell_angle_alpha   86.512
_cell_angle_beta   116.627
_cell_angle_gamma   62.379
_symmetry_Int_Tables_number   1
_cell_volume   177.086
_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  0.106  0.184  0.502  1.0
  Na  Na1  1  0.905  0.804  0.451  1.0
  Na  Na2  1  0.419  0.438  0.448  1.0
  Na  Na3  1  0.929  0.198  0.989  1.0
  Mg  Mg4  1  0.754  0.728  0.834  1.0
  Co  Co5  1  0.543  0.649  0.072  1.0
  Co  Co6  1  0.394  0.234  0.952  1.0
  O  O7  1  0.392  0.713  0.729  1.0
  O  O8  1  0.940  0.542  0.189  1.0
  O  O9  1  0.411  0.950  0.152  1.0
  O  O10  1  0.001  0.463  0.743  1.0
  O  O11  1  0.588  0.104  0.784  1.0
  O  O12  1  0.631  0.305  0.215  1.0
[/CIF]
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The material structure described by Na4Mg(CoO3)2 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), one O(4), one O(5), and one O(6) atom to form distorted NaO5 trigonal bipyramids that share  a cornercorner with one Co(1)O4 tetrahedra,  a cornercorner with one Co(2)O4 tetrahedra, corners with two equivalent Na(3)O4 tetrahedra, corners with two equivalent Mg(1)O4 trigonal pyramids, edges with two equivalent Na(2)O5 square pyramids,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Co(1)O4 tetrahedra,  an edgeedge with one Co(2)O4 tetrahedra, and  an edgeedge with one Mg(1)O4 trigonal pyramid. In the second Na site, Na(2) is bonded to one O(1), one O(2), one O(3), one O(4), and one O(6) atom to form distorted NaO5 square pyramids that share  a cornercorner with one Na(3)O4 tetrahedra,  a cornercorner with one Co(2)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with three equivalent Mg(1)O4 trigonal pyramids,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Co(1)O4 tetrahedra,  an edgeedge with one Co(2)O4 tetrahedra, and edges with two equivalent Na(1)O5 trigonal bipyramids. In the third Na site, Na(3) is bonded to one O(1), one O(2), one O(5), and one O(6) atom to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(2)O5 square pyramid, corners with two equivalent Co(2)O4 tetrahedra, corners with three equivalent Co(1)O4 tetrahedra, corners with two equivalent Na(1)O5 trigonal bipyramids, corners with three equivalent Mg(1)O4 trigonal pyramids,  an edgeedge with one Na(2)O5 square pyramid, and  an edgeedge with one Na(1)O5 trigonal bipyramid. In the fourth Na site, Na(4) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. Mg(1) is bonded to one O(1), one O(2), one O(4), and one O(5) atom to form distorted MgO4 trigonal pyramids that share corners with three equivalent Na(2)O5 square pyramids, corners with two equivalent Co(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with two equivalent Na(1)O5 trigonal bipyramids,  an edgeedge with one Co(1)O4 tetrahedra, and  an edgeedge with one Na(1)O5 trigonal bipyramid. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(3), and one O(6) atom to form distorted CoO4 tetrahedra that share corners with two equivalent Na(2)O5 square pyramids, corners with two equivalent Co(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra,  a cornercorner with one Na(1)O5 trigonal bipyramid,  an edgeedge with one Na(2)O5 square pyramid,  an edgeedge with one Na(1)O5 trigonal bipyramid, and  an edgeedge with one Mg(1)O4 trigonal pyramid. In the second Co site, Co(2) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form CoO4 tetrahedra that share  a cornercorner with one Na(2)O5 square pyramid, corners with two equivalent Na(3)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra,  a cornercorner with one Na(1)O5 trigonal bipyramid, corners with two equivalent Mg(1)O4 trigonal pyramids,  an edgeedge with one Na(2)O5 square pyramid, and  an edgeedge with one Na(1)O5 trigonal bipyramid. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(3), one Na(4), one Mg(1), and one Co(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one Na(1), one Na(2), one Na(3), one Na(4), one Mg(1), and one Co(1) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Na(2), one Na(4), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(4), one Mg(1), and one Co(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal bipyramidal geometry to one Na(1), one Na(3), one Na(4), one Mg(1), and one Co(2) atom. In the sixth O site, O(6) is bonded in a 6-coordinate geometry to one Na(1), one Na(2), one Na(3), one Na(4), one Co(1), and one Co(2) atom. is represented by the CIF file [CIF]
data_Na4Mg(CoO3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.111
_cell_length_b   6.052
_cell_length_c   6.426
_cell_angle_alpha   86.512
_cell_angle_beta   116.627
_cell_angle_gamma   62.379
_symmetry_Int_Tables_number   1
_cell_volume   177.086
_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  0.106  0.184  0.502  1.0
  Na  Na1  1  0.905  0.804  0.451  1.0
  Na  Na2  1  0.419  0.438  0.448  1.0
  Na  Na3  1  0.929  0.198  0.989  1.0
  Mg  Mg4  1  0.754  0.728  0.834  1.0
  Co  Co5  1  0.543  0.649  0.072  1.0
  Co  Co6  1  0.394  0.234  0.952  1.0
  O  O7  1  0.392  0.713  0.729  1.0
  O  O8  1  0.940  0.542  0.189  1.0
  O  O9  1  0.411  0.950  0.152  1.0
  O  O10  1  0.001  0.463  0.743  1.0
  O  O11  1  0.588  0.104  0.784  1.0
  O  O12  1  0.631  0.305  0.215  1.0
[/CIF]
.