The continuously infinite group ∞1 is omitted.
| Coordinates | Seitz symbol |
|---|---|
| a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
| -a, -b, -c | x, y, z | { 1 ‖ -1 | 0 } |
| -a, b, -c | -x, -y, -z | { -1 ‖ 2010 | 0 } |
| a, -b, c | -x, -y, -z | { -1 ‖ m010 | 0 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
| -a, b, -c | x, -y, -z | { 2 ‖ 2010 | 0 } |
| a, -b, c | x, -y, -z | { 2 ‖ m010 | 0 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 1a | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (0,0,0 | 0,0,0) |
| 1b | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (0,1/2,0 | 0,0,0) |
| 1c | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (0,0,1/2 | 0,0,0) |
| 1d | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,0 | 0,0,0) |
| 1e | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (1/2,1/2,0 | 0,0,0) |
| 1f | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (0,1/2,1/2 | 0,0,0) |
| 1g | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,1/2 | 0,0,0) |
| 1h | $\ce{^{-1}{2}}/\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (1/2,1/2,1/2 | 0,0,0) |
| 2i | $\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (0,b,0 | 0,0,0) |
| 2j | $\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (1/2,b,0 | 0,0,0) |
| 2k | $\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (0,b,1/2 | 0,0,0) |
| 2l | $\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (1/2,b,1/2 | 0,0,0) |
| 2m | $\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (a,0,c | 0,0,0) |
| 2n | $\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ | (a,1/2,c | 0,0,0) |
| 4o | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c | 0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| A:(1/2,0,1/2) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| B:(0,0,1/2) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| C:(1/2,1/2,0) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| D:(0,1/2,1/2) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| E:(1/2,1/2,1/2) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| Γ:(0,0,0) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| Y:(1/2,0,0) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| Z:(0,1/2,0) | $\ce{^{-1}{2/}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| F:(u,0,w) | $\ce{^{-1}{2/}}\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| G:(u,1/2,w) | $\ce{^{-1}{2/}}\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| Λ:(0,v,0) | $\ce{^{2}{2/}}\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| U:(1/2,v,1/2) | $\ce{^{2}{2/}}\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| V:(0,v,1/2) | $\ce{^{2}{2/}}\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| W:(1/2,v,0) | $\ce{^{2}{2/}}\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{m}{-1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | k-vector-G↑ | A↑G(4) | |
| Γ:(0,0,0) | Γ:(0,0,0) | $Γ_{1}^{S,+}(2)⊕Γ_{1}^{S,-}(2) $ | |
| A:(1/2,0,1/2) | U:(1/2,0,1/2) | $(A)U_{1}^{S,+}(2)⊕(A)U_{1}^{S,-}(2) $ | |
| B:(0,0,1/2) | Z:(0,0,1/2) | $(B)Z_{1}^{S,+}(2)⊕(B)Z_{1}^{S,-}(2) $ | |
| C:(1/2,1/2,0) | V:(1/2,1/2,0) | $(C)V_{1}^{S,+}(2)⊕(C)V_{1}^{S,-}(2) $ | |
| D:(0,1/2,1/2) | T:(0,1/2,1/2) | $(D)T_{1}^{S,+}(2)⊕(D)T_{1}^{S,-}(2) $ | |
| E:(1/2,1/2,1/2) | R:(1/2,1/2,1/2) | $(E)R_{1}^{S,+}(2)⊕(E)R_{1}^{S,-}(2) $ | |
| Y:(1/2,0,0) | X:(1/2,0,0) | $(Y)X_{1}^{S,+}(2)⊕(Y)X_{1}^{S,-}(2) $ | |
| Z:(0,1/2,0) | Y:(0,1/2,0) | $(Z)Y_{1}^{S,+}(2)⊕(Z)Y_{1}^{S,-}(2) $ | |
| Λ:(0,v,0) | GP:(0,v,0) | $2(Λ)GP_{1}^{S}(2) $ | |
| U:(1/2,v,1/2) | GP:(1/2,v,1/2) | $2(U)GP_{1}^{S}(2) $ | |
| V:(0,v,1/2) | GP:(0,v,1/2) | $2(V)GP_{1}^{S}(2) $ | |
| W:(1/2,v,0) | GP:(1/2,v,0) | $2(W)GP_{1}^{S}(2) $ | |
| F:(u,0,w) | GP:(u,0,w) | $2(F)GP_{1}^{S}(2) $ | |
| G:(u,1/2,w) | GP:(u,1/2,w) | $2(G)GP_{1}^{S}(2) $ | |
| GP:(u,v,w) | GP:(u,v,w) | $4GP_{1}^{S}(1)$ | Spin Splitting |