The crystal structure described by Pr5Al4(AgGe2)2 crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to two equivalent Ag(1), four equivalent Al(3), four equivalent Al(4), and two equivalent Ge(4) atoms to form PrAl8Ag2Ge2 cuboctahedra that share edges with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, edges with four equivalent Pr(5)Al6Ge6 cuboctahedra, edges with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, faces with two equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, faces with two equivalent Pr(5)Al6Ge6 cuboctahedra, and faces with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra. In the second Pr site, Pr(2) is bonded to two equivalent Ag(2), four equivalent Ag(1), two equivalent Al(4), and four equivalent Ge(1) atoms to form distorted PrAl2Ag6Ge4 cuboctahedra that share edges with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, edges with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, edges with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, faces with two equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, faces with two equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, and faces with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra. In the third Pr site, Pr(3) is bonded to four equivalent Ag(2), two equivalent Al(1), two equivalent Ge(1), and four equivalent Ge(2) atoms to form PrAl2Ag4Ge6 cuboctahedra that share edges with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, edges with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, edges with four equivalent Pr(4)Al6Ge6 cuboctahedra, faces with two equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, faces with two equivalent Pr(4)Al6Ge6 cuboctahedra, and faces with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra. In the fourth Pr site, Pr(4) is bonded to two equivalent Al(2), four equivalent Al(1), two equivalent Ge(2), and four equivalent Ge(3) atoms to form PrAl6Ge6 cuboctahedra that share edges with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, edges with four equivalent Pr(4)Al6Ge6 cuboctahedra, edges with four equivalent Pr(5)Al6Ge6 cuboctahedra, faces with two equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, faces with two equivalent Pr(5)Al6Ge6 cuboctahedra, and faces with four equivalent Pr(4)Al6Ge6 cuboctahedra. In the fifth Pr site, Pr(5) is bonded to two equivalent Al(3), four equivalent Al(2), two equivalent Ge(3), and four equivalent Ge(4) atoms to form PrAl6Ge6 cuboctahedra that share edges with four equivalent Pr(4)Al6Ge6 cuboctahedra, edges with four equivalent Pr(5)Al6Ge6 cuboctahedra, edges with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, faces with two equivalent Pr(4)Al6Ge6 cuboctahedra, faces with two equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, and faces with four equivalent Pr(5)Al6Ge6 cuboctahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 9-coordinate geometry to two equivalent Pr(1), four equivalent Pr(2), two equivalent Al(4), and one Ge(1) atom. In the second Ag site, Ag(2) is bonded in a 9-coordinate geometry to two equivalent Pr(2), four equivalent Pr(3), one Ge(2), and two equivalent Ge(1) atoms. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded in a distorted trigonal planar geometry to two equivalent Pr(3), four equivalent Pr(4), one Ge(3), and two equivalent Ge(2) atoms. In the second Al site, Al(2) is bonded in a distorted trigonal planar geometry to two equivalent Pr(4), four equivalent Pr(5), one Ge(4), and two equivalent Ge(3) atoms. In the third Al site, Al(3) is bonded in a distorted bent 120 degrees geometry to two equivalent Pr(5), four equivalent Pr(1), one Al(4), and two equivalent Ge(4) atoms. In the fourth Al site, Al(4) is bonded in a distorted bent 120 degrees geometry to two equivalent Pr(2), four equivalent Pr(1), two equivalent Ag(1), and one Al(3) atom. There are four inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Pr(3), four equivalent Pr(2), one Ag(1), and two equivalent Ag(2) atoms. In the second Ge site, Ge(2) is bonded in a 9-coordinate geometry to two equivalent Pr(4), four equivalent Pr(3), one Ag(2), and two equivalent Al(1) atoms. In the third Ge site, Ge(3) is bonded in a distorted trigonal planar geometry to two equivalent Pr(5), four equivalent Pr(4), one Al(1), and two equivalent Al(2) atoms. In the fourth Ge site, Ge(4) is bonded in a 9-coordinate geometry to two equivalent Pr(1), four equivalent Pr(5), one Al(2), and two equivalent Al(3) atoms. is represented by the CIF file [CIF]
data_Pr5Al4(AgGe2)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.184
_cell_length_b   19.184
_cell_length_c   4.310
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   167.035
_symmetry_Int_Tables_number   1
_cell_volume   355.860
_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
  Pr  Pr0  1  0.994  0.006  0.000  1.0
  Pr  Pr1  1  0.605  0.395  0.000  1.0
  Pr  Pr2  1  0.204  0.796  0.000  1.0
  Pr  Pr3  1  0.801  0.199  0.000  1.0
  Pr  Pr4  1  0.398  0.602  0.000  1.0
  Al  Al5  1  0.268  0.732  0.500  1.0
  Al  Al6  1  0.866  0.134  0.500  1.0
  Al  Al7  1  0.465  0.535  0.500  1.0
  Al  Al8  1  0.532  0.468  0.500  1.0
  Ag  Ag9  1  0.066  0.934  0.500  1.0
  Ag  Ag10  1  0.669  0.331  0.500  1.0
  Ge  Ge11  1  0.133  0.867  0.500  1.0
  Ge  Ge12  1  0.736  0.264  0.500  1.0
  Ge  Ge13  1  0.334  0.666  0.500  1.0
  Ge  Ge14  1  0.931  0.069  0.500  1.0
[/CIF]
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The crystal structure described by Pr5Al4(AgGe2)2 crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to two equivalent Ag(1), four equivalent Al(3), four equivalent Al(4), and two equivalent Ge(4) atoms to form PrAl8Ag2Ge2 cuboctahedra that share edges with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, edges with four equivalent Pr(5)Al6Ge6 cuboctahedra, edges with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, faces with two equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, faces with two equivalent Pr(5)Al6Ge6 cuboctahedra, and faces with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra. In the second Pr site, Pr(2) is bonded to two equivalent Ag(2), four equivalent Ag(1), two equivalent Al(4), and four equivalent Ge(1) atoms to form distorted PrAl2Ag6Ge4 cuboctahedra that share edges with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, edges with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, edges with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, faces with two equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, faces with two equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, and faces with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra. In the third Pr site, Pr(3) is bonded to four equivalent Ag(2), two equivalent Al(1), two equivalent Ge(1), and four equivalent Ge(2) atoms to form PrAl2Ag4Ge6 cuboctahedra that share edges with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, edges with four equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, edges with four equivalent Pr(4)Al6Ge6 cuboctahedra, faces with two equivalent Pr(2)Al2Ag6Ge4 cuboctahedra, faces with two equivalent Pr(4)Al6Ge6 cuboctahedra, and faces with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra. In the fourth Pr site, Pr(4) is bonded to two equivalent Al(2), four equivalent Al(1), two equivalent Ge(2), and four equivalent Ge(3) atoms to form PrAl6Ge6 cuboctahedra that share edges with four equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, edges with four equivalent Pr(4)Al6Ge6 cuboctahedra, edges with four equivalent Pr(5)Al6Ge6 cuboctahedra, faces with two equivalent Pr(3)Al2Ag4Ge6 cuboctahedra, faces with two equivalent Pr(5)Al6Ge6 cuboctahedra, and faces with four equivalent Pr(4)Al6Ge6 cuboctahedra. In the fifth Pr site, Pr(5) is bonded to two equivalent Al(3), four equivalent Al(2), two equivalent Ge(3), and four equivalent Ge(4) atoms to form PrAl6Ge6 cuboctahedra that share edges with four equivalent Pr(4)Al6Ge6 cuboctahedra, edges with four equivalent Pr(5)Al6Ge6 cuboctahedra, edges with four equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, faces with two equivalent Pr(4)Al6Ge6 cuboctahedra, faces with two equivalent Pr(1)Al8Ag2Ge2 cuboctahedra, and faces with four equivalent Pr(5)Al6Ge6 cuboctahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 9-coordinate geometry to two equivalent Pr(1), four equivalent Pr(2), two equivalent Al(4), and one Ge(1) atom. In the second Ag site, Ag(2) is bonded in a 9-coordinate geometry to two equivalent Pr(2), four equivalent Pr(3), one Ge(2), and two equivalent Ge(1) atoms. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded in a distorted trigonal planar geometry to two equivalent Pr(3), four equivalent Pr(4), one Ge(3), and two equivalent Ge(2) atoms. In the second Al site, Al(2) is bonded in a distorted trigonal planar geometry to two equivalent Pr(4), four equivalent Pr(5), one Ge(4), and two equivalent Ge(3) atoms. In the third Al site, Al(3) is bonded in a distorted bent 120 degrees geometry to two equivalent Pr(5), four equivalent Pr(1), one Al(4), and two equivalent Ge(4) atoms. In the fourth Al site, Al(4) is bonded in a distorted bent 120 degrees geometry to two equivalent Pr(2), four equivalent Pr(1), two equivalent Ag(1), and one Al(3) atom. There are four inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Pr(3), four equivalent Pr(2), one Ag(1), and two equivalent Ag(2) atoms. In the second Ge site, Ge(2) is bonded in a 9-coordinate geometry to two equivalent Pr(4), four equivalent Pr(3), one Ag(2), and two equivalent Al(1) atoms. In the third Ge site, Ge(3) is bonded in a distorted trigonal planar geometry to two equivalent Pr(5), four equivalent Pr(4), one Al(1), and two equivalent Al(2) atoms. In the fourth Ge site, Ge(4) is bonded in a 9-coordinate geometry to two equivalent Pr(1), four equivalent Pr(5), one Al(2), and two equivalent Al(3) atoms. is represented by the CIF file [CIF]
data_Pr5Al4(AgGe2)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.184
_cell_length_b   19.184
_cell_length_c   4.310
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   167.035
_symmetry_Int_Tables_number   1
_cell_volume   355.860
_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
  Pr  Pr0  1  0.994  0.006  0.000  1.0
  Pr  Pr1  1  0.605  0.395  0.000  1.0
  Pr  Pr2  1  0.204  0.796  0.000  1.0
  Pr  Pr3  1  0.801  0.199  0.000  1.0
  Pr  Pr4  1  0.398  0.602  0.000  1.0
  Al  Al5  1  0.268  0.732  0.500  1.0
  Al  Al6  1  0.866  0.134  0.500  1.0
  Al  Al7  1  0.465  0.535  0.500  1.0
  Al  Al8  1  0.532  0.468  0.500  1.0
  Ag  Ag9  1  0.066  0.934  0.500  1.0
  Ag  Ag10  1  0.669  0.331  0.500  1.0
  Ge  Ge11  1  0.133  0.867  0.500  1.0
  Ge  Ge12  1  0.736  0.264  0.500  1.0
  Ge  Ge13  1  0.334  0.666  0.500  1.0
  Ge  Ge14  1  0.931  0.069  0.500  1.0
[/CIF]
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