F4-3m (216) Space Group Crystals
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Crystalline Si has the space group of Fd-3m (see in Table 2019) and the space group for GaAs and InP is F-43m. Both these space groups are simple face-centred cubic (fcc) lattices.

Table 2493. F4-3m space group.

Name in the International Tables for Crystallography
F4-3m
Lattice Type
F
225 -43m
Crystal system
Cubic m-3m
Asymm
0 ≤ x ≤ 1/2 and 0 ≤ y ≤ 1/4 and -1/4 ≤ z ≤ 1/4 and y ≤ min(x, 1/2-x) and -y ≤ z ≤ y
96
Symmetry (atomic coordinates)
X, Y, Z; -X, -Y, Z; -X, Y, -Z; X, -Y, -Z; Z, X, Y; Z, -X, -Y; -Z, -X, Y; -Z, X, -Y; Y, Z, X; -Y, Z, -X; Y, -Z, -X; -Y, -Z, X; Y, X, Z; -Y, -X, Z; Y, -X, -Z; -Y, X, -Z; X, Z, Y; -X, Z, -Y; -X, -Z, Y; X, -Z, -Y; Z, Y, X; Z, -Y, -X; -Z, Y, -X; -Z, -Y, X; X, 1/2+Y, 1/2+Z; -X, 1/2-Y, 1/2+Z; -X, 1/2+Y, 1/2-Z; X, 1/2-Y, 1/2-Z; Z, 1/2+X, 1/2+Y; Z, 1/2-X, 1/2-Y; -Z, 1/2-X, 1/2+Y; -Z, 1/2+X, 1/2-Y; Y, 1/2+Z, 1/2+X; -Y, 1/2+Z, 1/2-X; Y, 1/2-Z, 1/2-X; -Y, 1/2-Z, 1/2+X; Y, 1/2+X, 1/2+Z; -Y, 1/2-X, 1/2+Z; Y, 1/2-X, 1/2-Z; -Y, 1/2+X, 1/2-Z; X, 1/2+Z, 1/2+Y; -X, 1/2+Z, 1/2-Y; -X, 1/2-Z, 1/2+Y; X, 1/2-Z, 1/2-Y; Z, 1/2+Y, 1/2+X; Z, 1/2-Y, 1/2-X; -Z, 1/2+Y, 1/2-X; -Z, 1/2-Y, 1/2+X; 1/2+X, Y, 1/2+Z; 1/2-X, -Y, 1/2+Z; 1/2-X, Y, 1/2-Z; 1/2+X, -Y, 1/2-Z; 1/2+Z, X, 1/2+Y; 1/2+Z, -X, 1/2-Y; 1/2-Z, -X, 1/2+Y; 1/2-Z, X, 1/2-Y; 1/2+Y, Z, 1/2+X; 1/2-Y, Z, 1/2-X; 1/2+Y, -Z, 1/2-X; 1/2-Y, -Z, 1/2+X; 1/2+Y, X, 1/2+Z; 1/2-Y, -X, 1/2+Z; 1/2+Y, -X, 1/2-Z; 1/2-Y, X, 1/2-Z; 1/2+X, Z, 1/2+Y; 1/2-X, Z, 1/2-Y; 1/2-X, -Z, 1/2+Y; 1/2+X, -Z, 1/2-Y; 1/2+Z, Y, 1/2+X; 1/2+Z, -Y, 1/2-X; 1/2-Z, Y, 1/2-X; 1/2-Z, -Y, 1/2+X; 1/2+X, 1/2+Y, Z; 1/2-X, 1/2-Y, Z; 1/2-X, 1/2+Y, -Z; 1/2+X, 1/2-Y, -Z; 1/2+Z, 1/2+X, Y; 1/2+Z, 1/2-X, -Y; 1/2-Z, 1/2-X, Y; 1/2-Z, 1/2+X, -Y; 1/2+Y, 1/2+Z, X; 1/2-Y, 1/2+Z, -X; 1/2+Y, 1/2-Z, -X; 1/2-Y, 1/2-Z, X; 1/2+Y, 1/2+X, Z; 1/2-Y, 1/2-X, Z; 1/2+Y, 1/2-X, -Z; 1/2-Y, 1/2+X, -Z; 1/2+X, 1/2+Z, Y; 1/2-X, 1/2+Z, -Y; 1/2-X, 1/2-Z, Y; 1/2+X, 1/2-Z, -Y; 1/2+Z, 1/2+Y, X; 1/2+Z, 1/2-Y, -X; 1/2-Z, 1/2+Y, -X; 1/2-Z, 1/2-Y, X
Crystal symmetry
Non-centrosymmetric
Crystal examples
ZnS: Zn at 0, 0, 0 and S at 1/4, 1/4, 1/4.

 

 

 

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