The material described by NaHoIrO4 crystallizes in the orthorhombic Amm2 space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(3) and four equivalent O(4) atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent Ir(1)O6 octahedra, corners with four equivalent Ir(2)O6 octahedra,  an edgeedge with one Ir(1)O6 octahedra, edges with two equivalent Ir(2)O6 octahedra, edges with two equivalent Ho(2)O7 pentagonal bipyramids, and faces with two equivalent Na(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 10-13°. In the second Na site, Na(2) is bonded in a 7-coordinate geometry to one O(2), one O(3), one O(4), two equivalent O(5), and two equivalent O(6) atoms. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 9-coordinate geometry to one O(1), two equivalent O(2), two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms. In the second Ho site, Ho(2) is bonded to one O(1), two equivalent O(4), and four equivalent O(7) atoms to form distorted HoO7 pentagonal bipyramids that share corners with two equivalent Ir(1)O6 octahedra, edges with four equivalent Ir(2)O6 octahedra, edges with two equivalent Ho(2)O7 pentagonal bipyramids, and edges with two equivalent Na(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Ir sites. In the first Ir site, Ir(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form IrO6 octahedra that share corners with two equivalent Ho(2)O7 pentagonal bipyramids, corners with two equivalent Na(1)O6 pentagonal pyramids, edges with two equivalent Ir(1)O6 octahedra, and  an edgeedge with one Na(1)O6 pentagonal pyramid. In the second Ir site, Ir(2) is bonded to one O(6), one O(7), two equivalent O(2), and two equivalent O(4) atoms to form IrO6 octahedra that share corners with two equivalent Na(1)O6 pentagonal pyramids, edges with two equivalent Ir(2)O6 octahedra, edges with two equivalent Ho(2)O7 pentagonal bipyramids, and  an edgeedge with one Na(1)O6 pentagonal pyramid. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Ho(2), two equivalent Ho(1), and two equivalent Ir(1) atoms to form distorted OHo3Ir2 trigonal bipyramids that share corners with two equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(3)Na4Ir2 octahedra, corners with two equivalent O(1)Ho3Ir2 trigonal bipyramids, corners with four equivalent O(6)Na2Ho2Ir trigonal bipyramids,  an edgeedge with one O(3)Na4Ir2 octahedra, edges with four equivalent O(7)Ho4Ir trigonal bipyramids, and edges with four equivalent O(5)Na2Ho2Ir trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-38°. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Na(2), two equivalent Ho(1), and two equivalent Ir(2) atoms. In the third O site, O(3) is bonded to two equivalent Na(1), two equivalent Na(2), and two equivalent Ir(1) atoms to form ONa4Ir2 octahedra that share corners with four equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(1)Ho3Ir2 trigonal bipyramids, corners with four equivalent O(6)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(3)Na4Ir2 octahedra,  an edgeedge with one O(1)Ho3Ir2 trigonal bipyramid, edges with four equivalent O(5)Na2Ho2Ir trigonal bipyramids, and faces with two equivalent O(4)Na3HoIr2 octahedra. The corner-sharing octahedral tilt angles are 38°. In the fourth O site, O(4) is bonded to one Na(2), two equivalent Na(1), one Ho(2), and two equivalent Ir(2) atoms to form ONa3HoIr2 octahedra that share corners with two equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(3)Na4Ir2 octahedra,  a cornercorner with one O(1)Ho3Ir2 trigonal bipyramid, corners with two equivalent O(7)Ho4Ir trigonal bipyramids, corners with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(4)Na3HoIr2 octahedra, edges with two equivalent O(7)Ho4Ir trigonal bipyramids, edges with two equivalent O(6)Na2Ho2Ir trigonal bipyramids,  a faceface with one O(4)Na3HoIr2 octahedra, and  a faceface with one O(3)Na4Ir2 octahedra. The corner-sharing octahedral tilt angles range from 38-56°. In the fifth O site, O(5) is bonded to two equivalent Na(2), two equivalent Ho(1), and one Ir(1) atom to form distorted ONa2Ho2Ir trigonal bipyramids that share corners with two equivalent O(4)Na3HoIr2 octahedra,  a cornercorner with one O(5)Na2Ho2Ir trigonal bipyramid, corners with two equivalent O(7)Ho4Ir trigonal bipyramids, corners with four equivalent O(6)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(3)Na4Ir2 octahedra,  an edgeedge with one O(7)Ho4Ir trigonal bipyramid, edges with two equivalent O(1)Ho3Ir2 trigonal bipyramids, edges with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, and edges with two equivalent O(6)Na2Ho2Ir trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. In the sixth O site, O(6) is bonded to two equivalent Na(2), two equivalent Ho(1), and one Ir(2) atom to form distorted ONa2Ho2Ir trigonal bipyramids that share corners with two equivalent O(3)Na4Ir2 octahedra, corners with two equivalent O(1)Ho3Ir2 trigonal bipyramids, corners with three equivalent O(7)Ho4Ir trigonal bipyramids, corners with four equivalent O(5)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(4)Na3HoIr2 octahedra,  an edgeedge with one O(7)Ho4Ir trigonal bipyramid, edges with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, and edges with two equivalent O(6)Na2Ho2Ir trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. In the seventh O site, O(7) is bonded to two equivalent Ho(1), two equivalent Ho(2), and one Ir(2) atom to form distorted OHo4Ir trigonal bipyramids that share corners with two equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(7)Ho4Ir trigonal bipyramids, corners with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, corners with three equivalent O(6)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(4)Na3HoIr2 octahedra,  an edgeedge with one O(5)Na2Ho2Ir trigonal bipyramid,  an edgeedge with one O(6)Na2Ho2Ir trigonal bipyramid, edges with two equivalent O(1)Ho3Ir2 trigonal bipyramids, and edges with three equivalent O(7)Ho4Ir trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. is represented by the CIF card [CIF]
data_NaHoIrO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.246
_cell_length_b   9.599
_cell_length_c   9.363
_cell_angle_alpha   120.837
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   250.523
_cell_formula_units_Z   3
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  0.016  0.000  1.0
  Na  Na1  1  0.500  0.300  0.300  1.0
  Na  Na2  1  0.500  0.000  0.700  1.0
  Ho  Ho3  1  0.500  0.316  0.658  1.0
  Ho  Ho4  1  0.500  0.658  0.342  1.0
  Ho  Ho5  1  0.500  0.702  0.000  1.0
  Ir  Ir6  1  0.000  0.332  0.000  1.0
  Ir  Ir7  1  0.000  0.673  0.675  1.0
  Ir  Ir8  1  0.000  0.998  0.325  1.0
  O  O9  1  0.500  0.463  0.000  1.0
  O  O10  1  0.500  0.545  0.544  1.0
  O  O11  1  0.500  0.001  0.456  1.0
  O  O12  1  0.500  0.201  0.000  1.0
  O  O13  1  0.500  0.806  0.820  1.0
  O  O14  1  0.500  0.986  0.180  1.0
  O  O15  1  0.000  0.466  0.250  1.0
  O  O16  1  0.000  0.783  0.540  1.0
  O  O17  1  0.000  0.744  0.193  1.0
  O  O18  1  0.000  0.216  0.750  1.0
  O  O19  1  0.000  0.243  0.460  1.0
  O  O20  1  0.000  0.551  0.807  1.0
[/CIF]
.
The material described by NaHoIrO4 crystallizes in the orthorhombic Amm2 space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(3) and four equivalent O(4) atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent Ir(1)O6 octahedra, corners with four equivalent Ir(2)O6 octahedra,  an edgeedge with one Ir(1)O6 octahedra, edges with two equivalent Ir(2)O6 octahedra, edges with two equivalent Ho(2)O7 pentagonal bipyramids, and faces with two equivalent Na(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 10-13°. In the second Na site, Na(2) is bonded in a 7-coordinate geometry to one O(2), one O(3), one O(4), two equivalent O(5), and two equivalent O(6) atoms. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 9-coordinate geometry to one O(1), two equivalent O(2), two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms. In the second Ho site, Ho(2) is bonded to one O(1), two equivalent O(4), and four equivalent O(7) atoms to form distorted HoO7 pentagonal bipyramids that share corners with two equivalent Ir(1)O6 octahedra, edges with four equivalent Ir(2)O6 octahedra, edges with two equivalent Ho(2)O7 pentagonal bipyramids, and edges with two equivalent Na(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Ir sites. In the first Ir site, Ir(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form IrO6 octahedra that share corners with two equivalent Ho(2)O7 pentagonal bipyramids, corners with two equivalent Na(1)O6 pentagonal pyramids, edges with two equivalent Ir(1)O6 octahedra, and  an edgeedge with one Na(1)O6 pentagonal pyramid. In the second Ir site, Ir(2) is bonded to one O(6), one O(7), two equivalent O(2), and two equivalent O(4) atoms to form IrO6 octahedra that share corners with two equivalent Na(1)O6 pentagonal pyramids, edges with two equivalent Ir(2)O6 octahedra, edges with two equivalent Ho(2)O7 pentagonal bipyramids, and  an edgeedge with one Na(1)O6 pentagonal pyramid. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Ho(2), two equivalent Ho(1), and two equivalent Ir(1) atoms to form distorted OHo3Ir2 trigonal bipyramids that share corners with two equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(3)Na4Ir2 octahedra, corners with two equivalent O(1)Ho3Ir2 trigonal bipyramids, corners with four equivalent O(6)Na2Ho2Ir trigonal bipyramids,  an edgeedge with one O(3)Na4Ir2 octahedra, edges with four equivalent O(7)Ho4Ir trigonal bipyramids, and edges with four equivalent O(5)Na2Ho2Ir trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-38°. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Na(2), two equivalent Ho(1), and two equivalent Ir(2) atoms. In the third O site, O(3) is bonded to two equivalent Na(1), two equivalent Na(2), and two equivalent Ir(1) atoms to form ONa4Ir2 octahedra that share corners with four equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(1)Ho3Ir2 trigonal bipyramids, corners with four equivalent O(6)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(3)Na4Ir2 octahedra,  an edgeedge with one O(1)Ho3Ir2 trigonal bipyramid, edges with four equivalent O(5)Na2Ho2Ir trigonal bipyramids, and faces with two equivalent O(4)Na3HoIr2 octahedra. The corner-sharing octahedral tilt angles are 38°. In the fourth O site, O(4) is bonded to one Na(2), two equivalent Na(1), one Ho(2), and two equivalent Ir(2) atoms to form ONa3HoIr2 octahedra that share corners with two equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(3)Na4Ir2 octahedra,  a cornercorner with one O(1)Ho3Ir2 trigonal bipyramid, corners with two equivalent O(7)Ho4Ir trigonal bipyramids, corners with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(4)Na3HoIr2 octahedra, edges with two equivalent O(7)Ho4Ir trigonal bipyramids, edges with two equivalent O(6)Na2Ho2Ir trigonal bipyramids,  a faceface with one O(4)Na3HoIr2 octahedra, and  a faceface with one O(3)Na4Ir2 octahedra. The corner-sharing octahedral tilt angles range from 38-56°. In the fifth O site, O(5) is bonded to two equivalent Na(2), two equivalent Ho(1), and one Ir(1) atom to form distorted ONa2Ho2Ir trigonal bipyramids that share corners with two equivalent O(4)Na3HoIr2 octahedra,  a cornercorner with one O(5)Na2Ho2Ir trigonal bipyramid, corners with two equivalent O(7)Ho4Ir trigonal bipyramids, corners with four equivalent O(6)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(3)Na4Ir2 octahedra,  an edgeedge with one O(7)Ho4Ir trigonal bipyramid, edges with two equivalent O(1)Ho3Ir2 trigonal bipyramids, edges with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, and edges with two equivalent O(6)Na2Ho2Ir trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. In the sixth O site, O(6) is bonded to two equivalent Na(2), two equivalent Ho(1), and one Ir(2) atom to form distorted ONa2Ho2Ir trigonal bipyramids that share corners with two equivalent O(3)Na4Ir2 octahedra, corners with two equivalent O(1)Ho3Ir2 trigonal bipyramids, corners with three equivalent O(7)Ho4Ir trigonal bipyramids, corners with four equivalent O(5)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(4)Na3HoIr2 octahedra,  an edgeedge with one O(7)Ho4Ir trigonal bipyramid, edges with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, and edges with two equivalent O(6)Na2Ho2Ir trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. In the seventh O site, O(7) is bonded to two equivalent Ho(1), two equivalent Ho(2), and one Ir(2) atom to form distorted OHo4Ir trigonal bipyramids that share corners with two equivalent O(4)Na3HoIr2 octahedra, corners with two equivalent O(7)Ho4Ir trigonal bipyramids, corners with two equivalent O(5)Na2Ho2Ir trigonal bipyramids, corners with three equivalent O(6)Na2Ho2Ir trigonal bipyramids, edges with two equivalent O(4)Na3HoIr2 octahedra,  an edgeedge with one O(5)Na2Ho2Ir trigonal bipyramid,  an edgeedge with one O(6)Na2Ho2Ir trigonal bipyramid, edges with two equivalent O(1)Ho3Ir2 trigonal bipyramids, and edges with three equivalent O(7)Ho4Ir trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. is represented by the CIF card [CIF]
data_NaHoIrO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.246
_cell_length_b   9.599
_cell_length_c   9.363
_cell_angle_alpha   120.837
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   250.523
_cell_formula_units_Z   3
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  0.016  0.000  1.0
  Na  Na1  1  0.500  0.300  0.300  1.0
  Na  Na2  1  0.500  0.000  0.700  1.0
  Ho  Ho3  1  0.500  0.316  0.658  1.0
  Ho  Ho4  1  0.500  0.658  0.342  1.0
  Ho  Ho5  1  0.500  0.702  0.000  1.0
  Ir  Ir6  1  0.000  0.332  0.000  1.0
  Ir  Ir7  1  0.000  0.673  0.675  1.0
  Ir  Ir8  1  0.000  0.998  0.325  1.0
  O  O9  1  0.500  0.463  0.000  1.0
  O  O10  1  0.500  0.545  0.544  1.0
  O  O11  1  0.500  0.001  0.456  1.0
  O  O12  1  0.500  0.201  0.000  1.0
  O  O13  1  0.500  0.806  0.820  1.0
  O  O14  1  0.500  0.986  0.180  1.0
  O  O15  1  0.000  0.466  0.250  1.0
  O  O16  1  0.000  0.783  0.540  1.0
  O  O17  1  0.000  0.744  0.193  1.0
  O  O18  1  0.000  0.216  0.750  1.0
  O  O19  1  0.000  0.243  0.460  1.0
  O  O20  1  0.000  0.551  0.807  1.0
[/CIF]
.