The material described by Mn8Zn14Ga27 crystallizes in the trigonal R-3 space group. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 10-coordinate geometry to one Zn(1), two equivalent Zn(2), one Ga(2), one Ga(3), one Ga(5), two equivalent Ga(1), and two equivalent Ga(4) atoms. In the second Mn site, Mn(2) is bonded in a 10-coordinate geometry to one Zn(4), three equivalent Zn(1), three equivalent Ga(2), and three equivalent Ga(3) atoms. There are four inequivalent Zn sites. In the first Zn site, Zn(4) is bonded in a 8-coordinate geometry to two equivalent Mn(2) and six equivalent Ga(3) atoms. In the second Zn site, Zn(1) is bonded in a 11-coordinate geometry to one Mn(1), one Mn(2), one Zn(3), two equivalent Zn(1), two equivalent Zn(2), one Ga(4), one Ga(5), and two equivalent Ga(2) atoms. In the third Zn site, Zn(2) is bonded in a 11-coordinate geometry to two equivalent Mn(1), one Zn(3), two equivalent Zn(1), two equivalent Zn(2), one Ga(4), one Ga(5), and two equivalent Ga(1) atoms. In the fourth Zn site, Zn(3) is bonded in a cuboctahedral geometry to six equivalent Zn(1) and six equivalent Zn(2) atoms. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to two equivalent Mn(1), two equivalent Zn(2), one Ga(2), one Ga(3), one Ga(5), and two equivalent Ga(4) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to one Mn(1), one Mn(2), two equivalent Zn(1), one Ga(1), one Ga(4), one Ga(5), and two equivalent Ga(3) atoms. In the third Ga site, Ga(3) is bonded in a 8-coordinate geometry to one Mn(1), one Mn(2), one Zn(4), one Ga(1), two equivalent Ga(2), and two equivalent Ga(4) atoms. In the fourth Ga site, Ga(4) is bonded in a 9-coordinate geometry to two equivalent Mn(1), one Zn(1), one Zn(2), one Ga(2), two equivalent Ga(1), and two equivalent Ga(3) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to two equivalent Mn(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Ga(1), and two equivalent Ga(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mn8Zn14Ga27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.224
_cell_length_b   9.224
_cell_length_c   9.224
_cell_angle_alpha   94.766
_cell_angle_beta   94.766
_cell_angle_gamma   94.766
_symmetry_Int_Tables_number   1
_cell_volume   776.286
_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
  Mn  Mn0  1  0.719  0.096  0.386  1.0
  Mn  Mn1  1  0.186  0.186  0.186  1.0
  Mn  Mn2  1  0.614  0.281  0.904  1.0
  Mn  Mn3  1  0.281  0.904  0.614  1.0
  Mn  Mn4  1  0.904  0.614  0.281  1.0
  Mn  Mn5  1  0.386  0.719  0.096  1.0
  Mn  Mn6  1  0.096  0.386  0.719  1.0
  Mn  Mn7  1  0.814  0.814  0.814  1.0
  Zn  Zn8  1  0.463  0.231  0.340  1.0
  Zn  Zn9  1  0.375  0.735  0.387  1.0
  Zn  Zn10  1  0.500  0.500  0.500  1.0
  Zn  Zn11  1  0.769  0.660  0.537  1.0
  Zn  Zn12  1  0.265  0.613  0.625  1.0
  Zn  Zn13  1  0.231  0.340  0.463  1.0
  Zn  Zn14  1  0.537  0.769  0.660  1.0
  Zn  Zn15  1  0.735  0.387  0.375  1.0
  Zn  Zn16  1  0.625  0.265  0.613  1.0
  Zn  Zn17  1  0.340  0.463  0.231  1.0
  Zn  Zn18  1  0.660  0.537  0.769  1.0
  Zn  Zn19  1  0.613  0.625  0.265  1.0
  Zn  Zn20  1  0.387  0.375  0.735  1.0
  Zn  Zn21  1  0.000  0.000  0.000  1.0
  Ga  Ga22  1  0.447  0.086  0.774  1.0
  Ga  Ga23  1  0.222  0.044  0.399  1.0
  Ga  Ga24  1  0.268  0.947  0.120  1.0
  Ga  Ga25  1  0.328  0.823  0.858  1.0
  Ga  Ga26  1  0.823  0.858  0.328  1.0
  Ga  Ga27  1  0.880  0.732  0.053  1.0
  Ga  Ga28  1  0.858  0.328  0.823  1.0
  Ga  Ga29  1  0.399  0.222  0.044  1.0
  Ga  Ga30  1  0.177  0.142  0.672  1.0
  Ga  Ga31  1  0.053  0.880  0.732  1.0
  Ga  Ga32  1  0.120  0.268  0.947  1.0
  Ga  Ga33  1  0.226  0.553  0.914  1.0
  Ga  Ga34  1  0.778  0.956  0.601  1.0
  Ga  Ga35  1  0.956  0.601  0.778  1.0
  Ga  Ga36  1  0.914  0.226  0.553  1.0
  Ga  Ga37  1  0.553  0.914  0.226  1.0
  Ga  Ga38  1  0.500  0.000  0.500  1.0
  Ga  Ga39  1  0.947  0.120  0.268  1.0
  Ga  Ga40  1  0.732  0.053  0.880  1.0
  Ga  Ga41  1  0.774  0.447  0.086  1.0
  Ga  Ga42  1  0.601  0.778  0.956  1.0
  Ga  Ga43  1  0.672  0.177  0.142  1.0
  Ga  Ga44  1  0.044  0.399  0.222  1.0
  Ga  Ga45  1  0.142  0.672  0.177  1.0
  Ga  Ga46  1  0.086  0.774  0.447  1.0
  Ga  Ga47  1  0.500  0.500  0.000  1.0
  Ga  Ga48  1  0.000  0.500  0.500  1.0
[/CIF]
.
The material described by Mn8Zn14Ga27 crystallizes in the trigonal R-3 space group. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 10-coordinate geometry to one Zn(1), two equivalent Zn(2), one Ga(2), one Ga(3), one Ga(5), two equivalent Ga(1), and two equivalent Ga(4) atoms. In the second Mn site, Mn(2) is bonded in a 10-coordinate geometry to one Zn(4), three equivalent Zn(1), three equivalent Ga(2), and three equivalent Ga(3) atoms. There are four inequivalent Zn sites. In the first Zn site, Zn(4) is bonded in a 8-coordinate geometry to two equivalent Mn(2) and six equivalent Ga(3) atoms. In the second Zn site, Zn(1) is bonded in a 11-coordinate geometry to one Mn(1), one Mn(2), one Zn(3), two equivalent Zn(1), two equivalent Zn(2), one Ga(4), one Ga(5), and two equivalent Ga(2) atoms. In the third Zn site, Zn(2) is bonded in a 11-coordinate geometry to two equivalent Mn(1), one Zn(3), two equivalent Zn(1), two equivalent Zn(2), one Ga(4), one Ga(5), and two equivalent Ga(1) atoms. In the fourth Zn site, Zn(3) is bonded in a cuboctahedral geometry to six equivalent Zn(1) and six equivalent Zn(2) atoms. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to two equivalent Mn(1), two equivalent Zn(2), one Ga(2), one Ga(3), one Ga(5), and two equivalent Ga(4) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to one Mn(1), one Mn(2), two equivalent Zn(1), one Ga(1), one Ga(4), one Ga(5), and two equivalent Ga(3) atoms. In the third Ga site, Ga(3) is bonded in a 8-coordinate geometry to one Mn(1), one Mn(2), one Zn(4), one Ga(1), two equivalent Ga(2), and two equivalent Ga(4) atoms. In the fourth Ga site, Ga(4) is bonded in a 9-coordinate geometry to two equivalent Mn(1), one Zn(1), one Zn(2), one Ga(2), two equivalent Ga(1), and two equivalent Ga(3) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to two equivalent Mn(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Ga(1), and two equivalent Ga(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mn8Zn14Ga27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.224
_cell_length_b   9.224
_cell_length_c   9.224
_cell_angle_alpha   94.766
_cell_angle_beta   94.766
_cell_angle_gamma   94.766
_symmetry_Int_Tables_number   1
_cell_volume   776.286
_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
  Mn  Mn0  1  0.719  0.096  0.386  1.0
  Mn  Mn1  1  0.186  0.186  0.186  1.0
  Mn  Mn2  1  0.614  0.281  0.904  1.0
  Mn  Mn3  1  0.281  0.904  0.614  1.0
  Mn  Mn4  1  0.904  0.614  0.281  1.0
  Mn  Mn5  1  0.386  0.719  0.096  1.0
  Mn  Mn6  1  0.096  0.386  0.719  1.0
  Mn  Mn7  1  0.814  0.814  0.814  1.0
  Zn  Zn8  1  0.463  0.231  0.340  1.0
  Zn  Zn9  1  0.375  0.735  0.387  1.0
  Zn  Zn10  1  0.500  0.500  0.500  1.0
  Zn  Zn11  1  0.769  0.660  0.537  1.0
  Zn  Zn12  1  0.265  0.613  0.625  1.0
  Zn  Zn13  1  0.231  0.340  0.463  1.0
  Zn  Zn14  1  0.537  0.769  0.660  1.0
  Zn  Zn15  1  0.735  0.387  0.375  1.0
  Zn  Zn16  1  0.625  0.265  0.613  1.0
  Zn  Zn17  1  0.340  0.463  0.231  1.0
  Zn  Zn18  1  0.660  0.537  0.769  1.0
  Zn  Zn19  1  0.613  0.625  0.265  1.0
  Zn  Zn20  1  0.387  0.375  0.735  1.0
  Zn  Zn21  1  0.000  0.000  0.000  1.0
  Ga  Ga22  1  0.447  0.086  0.774  1.0
  Ga  Ga23  1  0.222  0.044  0.399  1.0
  Ga  Ga24  1  0.268  0.947  0.120  1.0
  Ga  Ga25  1  0.328  0.823  0.858  1.0
  Ga  Ga26  1  0.823  0.858  0.328  1.0
  Ga  Ga27  1  0.880  0.732  0.053  1.0
  Ga  Ga28  1  0.858  0.328  0.823  1.0
  Ga  Ga29  1  0.399  0.222  0.044  1.0
  Ga  Ga30  1  0.177  0.142  0.672  1.0
  Ga  Ga31  1  0.053  0.880  0.732  1.0
  Ga  Ga32  1  0.120  0.268  0.947  1.0
  Ga  Ga33  1  0.226  0.553  0.914  1.0
  Ga  Ga34  1  0.778  0.956  0.601  1.0
  Ga  Ga35  1  0.956  0.601  0.778  1.0
  Ga  Ga36  1  0.914  0.226  0.553  1.0
  Ga  Ga37  1  0.553  0.914  0.226  1.0
  Ga  Ga38  1  0.500  0.000  0.500  1.0
  Ga  Ga39  1  0.947  0.120  0.268  1.0
  Ga  Ga40  1  0.732  0.053  0.880  1.0
  Ga  Ga41  1  0.774  0.447  0.086  1.0
  Ga  Ga42  1  0.601  0.778  0.956  1.0
  Ga  Ga43  1  0.672  0.177  0.142  1.0
  Ga  Ga44  1  0.044  0.399  0.222  1.0
  Ga  Ga45  1  0.142  0.672  0.177  1.0
  Ga  Ga46  1  0.086  0.774  0.447  1.0
  Ga  Ga47  1  0.500  0.500  0.000  1.0
  Ga  Ga48  1  0.000  0.500  0.500  1.0
[/CIF]
.