The crystal structure described by LiFe9Zn2O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. Li(1) is bonded to one O(3), one O(8), and two equivalent O(7) atoms to form LiO4 tetrahedra that share  a cornercorner with one Zn(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra, and corners with four equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(11), one O(4), and two equivalent O(12) atoms to form FeO4 tetrahedra that share  a cornercorner with one Zn(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with three equivalent Zn(2)O6 octahedra, and corners with four equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-59°. In the second Fe site, Fe(2) is bonded to one O(2), one O(9), and two equivalent O(1) atoms to form FeO4 tetrahedra that share  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra, corners with two equivalent Zn(1)O6 octahedra, corners with three equivalent Zn(2)O6 octahedra, and corners with four equivalent Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the third Fe site, Fe(3) is bonded to one O(10), one O(5), and two equivalent O(6) atoms to form FeO4 tetrahedra that share  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra, corners with two equivalent Zn(1)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra, and corners with four equivalent Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-60°. In the fourth Fe site, Fe(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form FeO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Fe(1)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra, corners with two equivalent Fe(3)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Zn(1)O6 octahedra. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra,  a cornercorner with one Fe(3)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, and edges with four equivalent Fe(7)O6 octahedra. In the sixth Fe site, Fe(6) is bonded to one O(5), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form FeO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Fe(3)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. In the seventh Fe site, Fe(7) is bonded to one O(10), one O(11), one O(12), one O(7), one O(8), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra,  a cornercorner with one Fe(3)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, edges with two equivalent Fe(5)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(6) atoms to form ZnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Fe(1)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra, corners with two equivalent Fe(3)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, and edges with four equivalent Fe(4)O6 octahedra. In the second Zn site, Zn(2) is bonded to one O(11), one O(2), two equivalent O(1), and two equivalent O(12) atoms to form ZnO6 octahedra that share corners with three equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Fe(2), one Fe(4), one Zn(1), and one Zn(2) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Fe(2), two equivalent Fe(4), and one Zn(2) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Fe(4), and one Zn(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Fe(1), two equivalent Fe(4), and one Zn(1) atom. In the fifth O site, O(5) is bonded to one Fe(3), one Fe(6), and two equivalent Fe(4) atoms to form distorted OFe4 trigonal pyramids that share  a cornercorner with one O(10)Fe4 trigonal pyramid and  a cornercorner with one O(8)LiFe3 trigonal pyramid. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Fe(3), one Fe(4), one Fe(6), and one Zn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(5), one Fe(6), and one Fe(7) atom. In the eighth O site, O(8) is bonded to one Li(1), one Fe(6), and two equivalent Fe(7) atoms to form distorted OLiFe3 trigonal pyramids that share  a cornercorner with one O(5)Fe4 trigonal pyramid, corners with two equivalent O(10)Fe4 trigonal pyramids, and corners with two equivalent O(11)ZnFe3 trigonal pyramids. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Fe(2), one Fe(5), and two equivalent Fe(7) atoms. In the tenth O site, O(10) is bonded to one Fe(3), one Fe(5), and two equivalent Fe(7) atoms to form distorted OFe4 trigonal pyramids that share  a cornercorner with one O(5)Fe4 trigonal pyramid, corners with two equivalent O(8)LiFe3 trigonal pyramids, and  an edgeedge with one O(11)ZnFe3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Fe(1), two equivalent Fe(7), and one Zn(2) atom to form distorted OZnFe3 trigonal pyramids that share corners with two equivalent O(8)LiFe3 trigonal pyramids and  an edgeedge with one O(10)Fe4 trigonal pyramid. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(5), one Fe(7), and one Zn(2) atom. is represented by the CIF file [CIF]
data_LiZn2Fe9O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.052
_cell_length_b   6.052
_cell_length_c   10.475
_cell_angle_alpha   72.910
_cell_angle_beta   72.910
_cell_angle_gamma   59.902
_symmetry_Int_Tables_number   1
_cell_volume   312.313
_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
  Li  Li0  1  0.124  0.124  0.624  1.0
  Zn  Zn1  1  0.064  0.064  0.314  1.0
  Zn  Zn2  1  0.312  0.312  0.063  1.0
  Fe  Fe3  1  0.000  0.000  0.996  1.0
  Fe  Fe4  1  0.628  0.628  0.129  1.0
  Fe  Fe5  1  0.497  0.497  0.499  1.0
  Fe  Fe6  1  0.556  0.067  0.313  1.0
  Fe  Fe7  1  0.067  0.556  0.313  1.0
  Fe  Fe8  1  0.565  0.565  0.811  1.0
  Fe  Fe9  1  0.809  0.809  0.569  1.0
  Fe  Fe10  1  0.059  0.565  0.809  1.0
  Fe  Fe11  1  0.565  0.059  0.809  1.0
  O  O12  1  0.441  0.950  0.191  1.0
  O  O13  1  0.950  0.441  0.191  1.0
  O  O14  1  0.432  0.432  0.195  1.0
  O  O15  1  0.200  0.200  0.417  1.0
  O  O16  1  0.932  0.932  0.195  1.0
  O  O17  1  0.697  0.697  0.435  1.0
  O  O18  1  0.688  0.167  0.439  1.0
  O  O19  1  0.167  0.688  0.439  1.0
  O  O20  1  0.917  0.466  0.697  1.0
  O  O21  1  0.466  0.917  0.697  1.0
  O  O22  1  0.918  0.918  0.694  1.0
  O  O23  1  0.692  0.692  0.930  1.0
  O  O24  1  0.432  0.432  0.698  1.0
  O  O25  1  0.198  0.198  0.929  1.0
  O  O26  1  0.676  0.199  0.927  1.0
  O  O27  1  0.199  0.676  0.927  1.0
[/CIF]
.
The crystal structure described by LiFe9Zn2O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. Li(1) is bonded to one O(3), one O(8), and two equivalent O(7) atoms to form LiO4 tetrahedra that share  a cornercorner with one Zn(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra, and corners with four equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(11), one O(4), and two equivalent O(12) atoms to form FeO4 tetrahedra that share  a cornercorner with one Zn(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with three equivalent Zn(2)O6 octahedra, and corners with four equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-59°. In the second Fe site, Fe(2) is bonded to one O(2), one O(9), and two equivalent O(1) atoms to form FeO4 tetrahedra that share  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra, corners with two equivalent Zn(1)O6 octahedra, corners with three equivalent Zn(2)O6 octahedra, and corners with four equivalent Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the third Fe site, Fe(3) is bonded to one O(10), one O(5), and two equivalent O(6) atoms to form FeO4 tetrahedra that share  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra, corners with two equivalent Zn(1)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra, and corners with four equivalent Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-60°. In the fourth Fe site, Fe(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form FeO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Fe(1)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra, corners with two equivalent Fe(3)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Zn(1)O6 octahedra. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra,  a cornercorner with one Fe(3)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, and edges with four equivalent Fe(7)O6 octahedra. In the sixth Fe site, Fe(6) is bonded to one O(5), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form FeO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Fe(3)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. In the seventh Fe site, Fe(7) is bonded to one O(10), one O(11), one O(12), one O(7), one O(8), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra,  a cornercorner with one Fe(3)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, edges with two equivalent Fe(5)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(6) atoms to form ZnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Fe(1)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra, corners with two equivalent Fe(3)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Zn(2)O6 octahedra, and edges with four equivalent Fe(4)O6 octahedra. In the second Zn site, Zn(2) is bonded to one O(11), one O(2), two equivalent O(1), and two equivalent O(12) atoms to form ZnO6 octahedra that share corners with three equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Fe(2), one Fe(4), one Zn(1), and one Zn(2) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Fe(2), two equivalent Fe(4), and one Zn(2) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Fe(4), and one Zn(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Fe(1), two equivalent Fe(4), and one Zn(1) atom. In the fifth O site, O(5) is bonded to one Fe(3), one Fe(6), and two equivalent Fe(4) atoms to form distorted OFe4 trigonal pyramids that share  a cornercorner with one O(10)Fe4 trigonal pyramid and  a cornercorner with one O(8)LiFe3 trigonal pyramid. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Fe(3), one Fe(4), one Fe(6), and one Zn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(5), one Fe(6), and one Fe(7) atom. In the eighth O site, O(8) is bonded to one Li(1), one Fe(6), and two equivalent Fe(7) atoms to form distorted OLiFe3 trigonal pyramids that share  a cornercorner with one O(5)Fe4 trigonal pyramid, corners with two equivalent O(10)Fe4 trigonal pyramids, and corners with two equivalent O(11)ZnFe3 trigonal pyramids. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Fe(2), one Fe(5), and two equivalent Fe(7) atoms. In the tenth O site, O(10) is bonded to one Fe(3), one Fe(5), and two equivalent Fe(7) atoms to form distorted OFe4 trigonal pyramids that share  a cornercorner with one O(5)Fe4 trigonal pyramid, corners with two equivalent O(8)LiFe3 trigonal pyramids, and  an edgeedge with one O(11)ZnFe3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Fe(1), two equivalent Fe(7), and one Zn(2) atom to form distorted OZnFe3 trigonal pyramids that share corners with two equivalent O(8)LiFe3 trigonal pyramids and  an edgeedge with one O(10)Fe4 trigonal pyramid. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(5), one Fe(7), and one Zn(2) atom. is represented by the CIF file [CIF]
data_LiZn2Fe9O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.052
_cell_length_b   6.052
_cell_length_c   10.475
_cell_angle_alpha   72.910
_cell_angle_beta   72.910
_cell_angle_gamma   59.902
_symmetry_Int_Tables_number   1
_cell_volume   312.313
_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
  Li  Li0  1  0.124  0.124  0.624  1.0
  Zn  Zn1  1  0.064  0.064  0.314  1.0
  Zn  Zn2  1  0.312  0.312  0.063  1.0
  Fe  Fe3  1  0.000  0.000  0.996  1.0
  Fe  Fe4  1  0.628  0.628  0.129  1.0
  Fe  Fe5  1  0.497  0.497  0.499  1.0
  Fe  Fe6  1  0.556  0.067  0.313  1.0
  Fe  Fe7  1  0.067  0.556  0.313  1.0
  Fe  Fe8  1  0.565  0.565  0.811  1.0
  Fe  Fe9  1  0.809  0.809  0.569  1.0
  Fe  Fe10  1  0.059  0.565  0.809  1.0
  Fe  Fe11  1  0.565  0.059  0.809  1.0
  O  O12  1  0.441  0.950  0.191  1.0
  O  O13  1  0.950  0.441  0.191  1.0
  O  O14  1  0.432  0.432  0.195  1.0
  O  O15  1  0.200  0.200  0.417  1.0
  O  O16  1  0.932  0.932  0.195  1.0
  O  O17  1  0.697  0.697  0.435  1.0
  O  O18  1  0.688  0.167  0.439  1.0
  O  O19  1  0.167  0.688  0.439  1.0
  O  O20  1  0.917  0.466  0.697  1.0
  O  O21  1  0.466  0.917  0.697  1.0
  O  O22  1  0.918  0.918  0.694  1.0
  O  O23  1  0.692  0.692  0.930  1.0
  O  O24  1  0.432  0.432  0.698  1.0
  O  O25  1  0.198  0.198  0.929  1.0
  O  O26  1  0.676  0.199  0.927  1.0
  O  O27  1  0.199  0.676  0.927  1.0
[/CIF]
.