The material described by MgZn5 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the monoclinic C2/m space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(2), two equivalent Mg(1), one Zn(3), two equivalent Zn(5), three equivalent Zn(4), three equivalent Zn(7), and four equivalent Zn(6) atoms. In the second Mg site, Mg(2) is bonded in a 16-coordinate geometry to one Mg(1), one Mg(2), one Zn(1), one Zn(9), two equivalent Zn(2), two equivalent Zn(4), two equivalent Zn(6), two equivalent Zn(8), and four equivalent Zn(5) atoms. There are nine inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(2), two equivalent Zn(9), four equivalent Zn(2), and four equivalent Zn(6) atoms to form distorted ZnMg2Zn10 cuboctahedra that share edges with two equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(8)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(7)Mg3Zn9 cuboctahedra, and faces with four equivalent Zn(4)Mg5Zn7 cuboctahedra. In the second Zn site, Zn(2) is bonded in a 13-coordinate geometry to two equivalent Mg(2), one Zn(3), one Zn(4), one Zn(8), two equivalent Zn(1), two equivalent Zn(5), two equivalent Zn(6), and two equivalent Zn(9) atoms. In the third Zn site, Zn(3) is bonded in a 13-coordinate geometry to one Mg(1), one Zn(2), two equivalent Zn(6), two equivalent Zn(9), three equivalent Zn(7), and four equivalent Zn(5) atoms. In the fourth Zn site, Zn(4) is bonded to two equivalent Mg(2), three equivalent Mg(1), one Zn(2), one Zn(7), one Zn(8), two equivalent Zn(5), and two equivalent Zn(6) atoms to form distorted ZnMg5Zn7 cuboctahedra that share  a cornercorner with one Zn(4)Mg5Zn7 cuboctahedra, corners with two equivalent Zn(7)Mg3Zn9 cuboctahedra, corners with two equivalent Zn(8)Mg4Zn8 cuboctahedra, edges with four equivalent Zn(4)Mg5Zn7 cuboctahedra,  a faceface with one Zn(8)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(1)Mg2Zn10 cuboctahedra, and faces with three equivalent Zn(7)Mg3Zn9 cuboctahedra. In the fifth Zn site, Zn(5) is bonded in a 12-coordinate geometry to one Mg(1), two equivalent Mg(2), one Zn(2), one Zn(4), one Zn(7), one Zn(8), one Zn(9), two equivalent Zn(3), and two equivalent Zn(5) atoms. In the sixth Zn site, Zn(6) is bonded in a 11-coordinate geometry to one Mg(2), two equivalent Mg(1), one Zn(1), one Zn(2), one Zn(3), one Zn(4), one Zn(7), one Zn(9), and two equivalent Zn(6) atoms. In the seventh Zn site, Zn(7) is bonded to three equivalent Mg(1), one Zn(4), one Zn(9), two equivalent Zn(5), two equivalent Zn(6), and three equivalent Zn(3) atoms to form distorted ZnMg3Zn9 cuboctahedra that share corners with two equivalent Zn(4)Mg5Zn7 cuboctahedra, edges with six equivalent Zn(7)Mg3Zn9 cuboctahedra,  a faceface with one Zn(1)Mg2Zn10 cuboctahedra,  a faceface with one Zn(8)Mg4Zn8 cuboctahedra, and faces with three equivalent Zn(4)Mg5Zn7 cuboctahedra. In the eighth Zn site, Zn(8) is bonded to four equivalent Mg(2), two equivalent Zn(2), two equivalent Zn(4), and four equivalent Zn(5) atoms to form ZnMg4Zn8 cuboctahedra that share corners with four equivalent Zn(4)Mg5Zn7 cuboctahedra, edges with two equivalent Zn(8)Mg4Zn8 cuboctahedra, edges with four equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(7)Mg3Zn9 cuboctahedra, and faces with two equivalent Zn(4)Mg5Zn7 cuboctahedra. In the ninth Zn site, Zn(9) is bonded in a 11-coordinate geometry to one Mg(2), one Zn(1), one Zn(7), two equivalent Zn(2), two equivalent Zn(3), two equivalent Zn(5), and two equivalent Zn(6) atoms. is represented by the CIF file [CIF]
data_MgZn5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.865
_cell_length_b   9.865
_cell_length_c   8.852
_cell_angle_alpha   67.945
_cell_angle_beta   67.945
_cell_angle_gamma   29.615
_symmetry_Int_Tables_number   1
_cell_volume   392.276
_cell_formula_units_Z   4
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
  Mg  Mg0  1  0.281  0.281  0.374  1.0
  Mg  Mg1  1  0.719  0.719  0.626  1.0
  Mg  Mg2  1  0.466  0.466  0.202  1.0
  Mg  Mg3  1  0.534  0.534  0.798  1.0
  Zn  Zn4  1  0.500  0.500  0.500  1.0
  Zn  Zn5  1  0.035  0.035  0.295  1.0
  Zn  Zn6  1  0.211  0.211  0.125  1.0
  Zn  Zn7  1  0.123  0.123  0.712  1.0
  Zn  Zn8  1  0.877  0.877  0.288  1.0
  Zn  Zn9  1  0.123  0.616  0.038  1.0
  Zn  Zn10  1  0.119  0.625  0.540  1.0
  Zn  Zn11  1  0.965  0.965  0.705  1.0
  Zn  Zn12  1  0.747  0.747  0.236  1.0
  Zn  Zn13  1  0.375  0.881  0.460  1.0
  Zn  Zn14  1  0.625  0.119  0.540  1.0
  Zn  Zn15  1  0.881  0.375  0.460  1.0
  Zn  Zn16  1  0.384  0.877  0.962  1.0
  Zn  Zn17  1  0.789  0.789  0.875  1.0
  Zn  Zn18  1  0.616  0.123  0.038  1.0
  Zn  Zn19  1  0.877  0.384  0.962  1.0
  Zn  Zn20  1  0.000  0.000  0.000  1.0
  Zn  Zn21  1  0.388  0.388  0.779  1.0
  Zn  Zn22  1  0.612  0.612  0.221  1.0
  Zn  Zn23  1  0.253  0.253  0.764  1.0
[/CIF]
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The material described by MgZn5 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the monoclinic C2/m space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(2), two equivalent Mg(1), one Zn(3), two equivalent Zn(5), three equivalent Zn(4), three equivalent Zn(7), and four equivalent Zn(6) atoms. In the second Mg site, Mg(2) is bonded in a 16-coordinate geometry to one Mg(1), one Mg(2), one Zn(1), one Zn(9), two equivalent Zn(2), two equivalent Zn(4), two equivalent Zn(6), two equivalent Zn(8), and four equivalent Zn(5) atoms. There are nine inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(2), two equivalent Zn(9), four equivalent Zn(2), and four equivalent Zn(6) atoms to form distorted ZnMg2Zn10 cuboctahedra that share edges with two equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(8)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(7)Mg3Zn9 cuboctahedra, and faces with four equivalent Zn(4)Mg5Zn7 cuboctahedra. In the second Zn site, Zn(2) is bonded in a 13-coordinate geometry to two equivalent Mg(2), one Zn(3), one Zn(4), one Zn(8), two equivalent Zn(1), two equivalent Zn(5), two equivalent Zn(6), and two equivalent Zn(9) atoms. In the third Zn site, Zn(3) is bonded in a 13-coordinate geometry to one Mg(1), one Zn(2), two equivalent Zn(6), two equivalent Zn(9), three equivalent Zn(7), and four equivalent Zn(5) atoms. In the fourth Zn site, Zn(4) is bonded to two equivalent Mg(2), three equivalent Mg(1), one Zn(2), one Zn(7), one Zn(8), two equivalent Zn(5), and two equivalent Zn(6) atoms to form distorted ZnMg5Zn7 cuboctahedra that share  a cornercorner with one Zn(4)Mg5Zn7 cuboctahedra, corners with two equivalent Zn(7)Mg3Zn9 cuboctahedra, corners with two equivalent Zn(8)Mg4Zn8 cuboctahedra, edges with four equivalent Zn(4)Mg5Zn7 cuboctahedra,  a faceface with one Zn(8)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(1)Mg2Zn10 cuboctahedra, and faces with three equivalent Zn(7)Mg3Zn9 cuboctahedra. In the fifth Zn site, Zn(5) is bonded in a 12-coordinate geometry to one Mg(1), two equivalent Mg(2), one Zn(2), one Zn(4), one Zn(7), one Zn(8), one Zn(9), two equivalent Zn(3), and two equivalent Zn(5) atoms. In the sixth Zn site, Zn(6) is bonded in a 11-coordinate geometry to one Mg(2), two equivalent Mg(1), one Zn(1), one Zn(2), one Zn(3), one Zn(4), one Zn(7), one Zn(9), and two equivalent Zn(6) atoms. In the seventh Zn site, Zn(7) is bonded to three equivalent Mg(1), one Zn(4), one Zn(9), two equivalent Zn(5), two equivalent Zn(6), and three equivalent Zn(3) atoms to form distorted ZnMg3Zn9 cuboctahedra that share corners with two equivalent Zn(4)Mg5Zn7 cuboctahedra, edges with six equivalent Zn(7)Mg3Zn9 cuboctahedra,  a faceface with one Zn(1)Mg2Zn10 cuboctahedra,  a faceface with one Zn(8)Mg4Zn8 cuboctahedra, and faces with three equivalent Zn(4)Mg5Zn7 cuboctahedra. In the eighth Zn site, Zn(8) is bonded to four equivalent Mg(2), two equivalent Zn(2), two equivalent Zn(4), and four equivalent Zn(5) atoms to form ZnMg4Zn8 cuboctahedra that share corners with four equivalent Zn(4)Mg5Zn7 cuboctahedra, edges with two equivalent Zn(8)Mg4Zn8 cuboctahedra, edges with four equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(7)Mg3Zn9 cuboctahedra, and faces with two equivalent Zn(4)Mg5Zn7 cuboctahedra. In the ninth Zn site, Zn(9) is bonded in a 11-coordinate geometry to one Mg(2), one Zn(1), one Zn(7), two equivalent Zn(2), two equivalent Zn(3), two equivalent Zn(5), and two equivalent Zn(6) atoms. is represented by the CIF file [CIF]
data_MgZn5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.865
_cell_length_b   9.865
_cell_length_c   8.852
_cell_angle_alpha   67.945
_cell_angle_beta   67.945
_cell_angle_gamma   29.615
_symmetry_Int_Tables_number   1
_cell_volume   392.276
_cell_formula_units_Z   4
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
  Mg  Mg0  1  0.281  0.281  0.374  1.0
  Mg  Mg1  1  0.719  0.719  0.626  1.0
  Mg  Mg2  1  0.466  0.466  0.202  1.0
  Mg  Mg3  1  0.534  0.534  0.798  1.0
  Zn  Zn4  1  0.500  0.500  0.500  1.0
  Zn  Zn5  1  0.035  0.035  0.295  1.0
  Zn  Zn6  1  0.211  0.211  0.125  1.0
  Zn  Zn7  1  0.123  0.123  0.712  1.0
  Zn  Zn8  1  0.877  0.877  0.288  1.0
  Zn  Zn9  1  0.123  0.616  0.038  1.0
  Zn  Zn10  1  0.119  0.625  0.540  1.0
  Zn  Zn11  1  0.965  0.965  0.705  1.0
  Zn  Zn12  1  0.747  0.747  0.236  1.0
  Zn  Zn13  1  0.375  0.881  0.460  1.0
  Zn  Zn14  1  0.625  0.119  0.540  1.0
  Zn  Zn15  1  0.881  0.375  0.460  1.0
  Zn  Zn16  1  0.384  0.877  0.962  1.0
  Zn  Zn17  1  0.789  0.789  0.875  1.0
  Zn  Zn18  1  0.616  0.123  0.038  1.0
  Zn  Zn19  1  0.877  0.384  0.962  1.0
  Zn  Zn20  1  0.000  0.000  0.000  1.0
  Zn  Zn21  1  0.388  0.388  0.779  1.0
  Zn  Zn22  1  0.612  0.612  0.221  1.0
  Zn  Zn23  1  0.253  0.253  0.764  1.0
[/CIF]
.