The structure described by ScCrMn crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 16-coordinate geometry to one Sc(1); three Sc(2,2); three equivalent Cr(1); four equivalent Cr(2); one Mn(3); two equivalent Mn(1); and two equivalent Mn(2) atoms. In the second Sc site, Sc(2) is bonded in a 16-coordinate geometry to one Sc(2), three equivalent Sc(1), two equivalent Cr(2), three equivalent Cr(1), one Mn(1), two equivalent Mn(3), and four equivalent Mn(2) atoms. In the third Sc site, Sc(2) is bonded in a 16-coordinate geometry to one Sc(2); three Sc(1,1); two equivalent Cr(2); three equivalent Cr(1); one Mn(1); two equivalent Mn(3); and four equivalent Mn(2) atoms. In the fourth Sc site, Sc(1) is bonded in a 16-coordinate geometry to one Sc(1); three Sc(2,2); three equivalent Cr(1); four equivalent Cr(2); one Mn(3); two equivalent Mn(1); and two equivalent Mn(2) atoms. In the fifth Sc site, Sc(2) is bonded in a 16-coordinate geometry to one Sc(2), three equivalent Sc(1), two equivalent Cr(2), three equivalent Cr(1), one Mn(1), two equivalent Mn(3), and four equivalent Mn(2) atoms. In the sixth Sc site, Sc(1) is bonded in a 16-coordinate geometry to one Sc(1); three Sc(2,2); three equivalent Cr(1); four equivalent Cr(2); one Mn(3); two equivalent Mn(1); and two equivalent Mn(2) atoms. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three Sc(1,1); three Sc(2,2); two equivalent Cr(2); one Mn(1); one Mn(3); and two equivalent Mn(2) atoms to form CrSc6Mn4Cr2 cuboctahedra that share corners with two equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, corners with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, faces with two equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, faces with three equivalent Mn(1)Sc6Cr6 cuboctahedra, faces with three equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, faces with six equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, and faces with six equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra. In the second Cr site, Cr(2) is bonded to two Sc(2,2); four Sc(1,1,1); two equivalent Cr(1); two equivalent Cr(2); and two equivalent Mn(1) atoms to form CrSc6Mn2Cr4 cuboctahedra that share corners with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with six equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with two equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, edges with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with two equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, faces with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with four equivalent Mn(1)Sc6Cr6 cuboctahedra, and faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two Sc(2,2); four Sc(1,1); two equivalent Cr(1); and four equivalent Cr(2) atoms to form MnSc6Cr6 cuboctahedra that share corners with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with eight equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with two equivalent Mn(1)Sc6Cr6 cuboctahedra, edges with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, faces with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, and faces with eight equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra. In the second Mn site, Mn(2) is bonded to two Sc(1,1); four Sc(2,2,2); two equivalent Cr(1); two equivalent Mn(2); and two equivalent Mn(3) atoms to form MnSc6Mn4Cr2 cuboctahedra that share corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, corners with six equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, edges with two equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with two equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with two equivalent Mn(1)Sc6Cr6 cuboctahedra, faces with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, and faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra. In the third Mn site, Mn(3) is bonded to two Sc(1,1); four equivalent Sc(2); two equivalent Cr(1); and four equivalent Mn(2) atoms to form MnSc6Mn4Cr2 cuboctahedra that share corners with two equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with eight equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, edges with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, edges with four equivalent Mn(1)Sc6Cr6 cuboctahedra, faces with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, and faces with eight equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra. is represented by the CIF card [CIF]
data_ScMnCr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.988
_cell_length_b   4.988
_cell_length_c   7.987
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.919
_symmetry_Int_Tables_number   1
_cell_volume   172.230
_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
  Sc  Sc0  1  0.667  0.333  0.691  1.0
  Sc  Sc1  1  0.333  0.667  0.816  1.0
  Sc  Sc2  1  0.333  0.667  0.184  1.0
  Sc  Sc3  1  0.667  0.333  0.309  1.0
  Mn  Mn4  1  0.171  0.829  0.500  1.0
  Mn  Mn5  1  0.341  0.171  0.000  1.0
  Mn  Mn6  1  0.829  0.659  0.000  1.0
  Mn  Mn7  1  0.828  0.172  0.000  1.0
  Cr  Cr8  1  0.001  0.999  0.246  1.0
  Cr  Cr9  1  0.001  0.999  0.754  1.0
  Cr  Cr10  1  0.660  0.831  0.500  1.0
  Cr  Cr11  1  0.169  0.340  0.500  1.0
[/CIF]
.
The structure described by ScCrMn crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 16-coordinate geometry to one Sc(1); three Sc(2,2); three equivalent Cr(1); four equivalent Cr(2); one Mn(3); two equivalent Mn(1); and two equivalent Mn(2) atoms. In the second Sc site, Sc(2) is bonded in a 16-coordinate geometry to one Sc(2), three equivalent Sc(1), two equivalent Cr(2), three equivalent Cr(1), one Mn(1), two equivalent Mn(3), and four equivalent Mn(2) atoms. In the third Sc site, Sc(2) is bonded in a 16-coordinate geometry to one Sc(2); three Sc(1,1); two equivalent Cr(2); three equivalent Cr(1); one Mn(1); two equivalent Mn(3); and four equivalent Mn(2) atoms. In the fourth Sc site, Sc(1) is bonded in a 16-coordinate geometry to one Sc(1); three Sc(2,2); three equivalent Cr(1); four equivalent Cr(2); one Mn(3); two equivalent Mn(1); and two equivalent Mn(2) atoms. In the fifth Sc site, Sc(2) is bonded in a 16-coordinate geometry to one Sc(2), three equivalent Sc(1), two equivalent Cr(2), three equivalent Cr(1), one Mn(1), two equivalent Mn(3), and four equivalent Mn(2) atoms. In the sixth Sc site, Sc(1) is bonded in a 16-coordinate geometry to one Sc(1); three Sc(2,2); three equivalent Cr(1); four equivalent Cr(2); one Mn(3); two equivalent Mn(1); and two equivalent Mn(2) atoms. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three Sc(1,1); three Sc(2,2); two equivalent Cr(2); one Mn(1); one Mn(3); and two equivalent Mn(2) atoms to form CrSc6Mn4Cr2 cuboctahedra that share corners with two equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, corners with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, faces with two equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, faces with three equivalent Mn(1)Sc6Cr6 cuboctahedra, faces with three equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, faces with six equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, and faces with six equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra. In the second Cr site, Cr(2) is bonded to two Sc(2,2); four Sc(1,1,1); two equivalent Cr(1); two equivalent Cr(2); and two equivalent Mn(1) atoms to form CrSc6Mn2Cr4 cuboctahedra that share corners with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with six equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with two equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, edges with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with two equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, faces with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with four equivalent Mn(1)Sc6Cr6 cuboctahedra, and faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two Sc(2,2); four Sc(1,1); two equivalent Cr(1); and four equivalent Cr(2) atoms to form MnSc6Cr6 cuboctahedra that share corners with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with eight equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with two equivalent Mn(1)Sc6Cr6 cuboctahedra, edges with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, faces with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, and faces with eight equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra. In the second Mn site, Mn(2) is bonded to two Sc(1,1); four Sc(2,2,2); two equivalent Cr(1); two equivalent Mn(2); and two equivalent Mn(3) atoms to form MnSc6Mn4Cr2 cuboctahedra that share corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, corners with six equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, edges with two equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, edges with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with two equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with two equivalent Mn(1)Sc6Cr6 cuboctahedra, faces with four equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra, faces with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, and faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra. In the third Mn site, Mn(3) is bonded to two Sc(1,1); four equivalent Sc(2); two equivalent Cr(1); and four equivalent Mn(2) atoms to form MnSc6Mn4Cr2 cuboctahedra that share corners with two equivalent Mn(1)Sc6Cr6 cuboctahedra, corners with four equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, corners with four equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, corners with eight equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, edges with two equivalent Mn(3)Sc6Mn4Cr2 cuboctahedra, edges with four equivalent Mn(1)Sc6Cr6 cuboctahedra, faces with four equivalent Cr(2)Sc6Mn2Cr4 cuboctahedra, faces with six equivalent Cr(1)Sc6Mn4Cr2 cuboctahedra, and faces with eight equivalent Mn(2)Sc6Mn4Cr2 cuboctahedra. is represented by the CIF card [CIF]
data_ScMnCr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.988
_cell_length_b   4.988
_cell_length_c   7.987
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.919
_symmetry_Int_Tables_number   1
_cell_volume   172.230
_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
  Sc  Sc0  1  0.667  0.333  0.691  1.0
  Sc  Sc1  1  0.333  0.667  0.816  1.0
  Sc  Sc2  1  0.333  0.667  0.184  1.0
  Sc  Sc3  1  0.667  0.333  0.309  1.0
  Mn  Mn4  1  0.171  0.829  0.500  1.0
  Mn  Mn5  1  0.341  0.171  0.000  1.0
  Mn  Mn6  1  0.829  0.659  0.000  1.0
  Mn  Mn7  1  0.828  0.172  0.000  1.0
  Cr  Cr8  1  0.001  0.999  0.246  1.0
  Cr  Cr9  1  0.001  0.999  0.754  1.0
  Cr  Cr10  1  0.660  0.831  0.500  1.0
  Cr  Cr11  1  0.169  0.340  0.500  1.0
[/CIF]
.