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 ‖ 2001 | 0 } |
| -a, b, c | -x, -y, -z | { -1 ‖ m100 | 0 } |
| a, -b, c | -x, -y, -z | { -1 ‖ m010 | 0 } |
| a+1/2, b+1/2, c+1/2 | x, y, z | { 1 ‖ 1 | 1/2 1/2 1/2 } |
| -a+1/2, -b+1/2, c+1/2 | x, y, z | { 1 ‖ 2001 | 1/2 1/2 1/2 } |
| -a+1/2, b+1/2, c+1/2 | -x, -y, -z | { -1 ‖ m100 | 1/2 1/2 1/2 } |
| a+1/2, -b+1/2, c+1/2 | -x, -y, -z | { -1 ‖ m010 | 1/2 1/2 1/2 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, -b, c | -x, y, z | { m ‖ 2001 | 0 } |
| -a, b, c | x, -y, -z | { 2 ‖ m100 | 0 } |
| a, -b, c | x, -y, -z | { 2 ‖ m010 | 0 } |
| a+1/2, b+1/2, c+1/2 | -x, y, z | { m ‖ 1 | 1/2 1/2 1/2 } |
| -a+1/2, -b+1/2, c+1/2 | -x, y, z | { m ‖ 2001 | 1/2 1/2 1/2 } |
| -a+1/2, b+1/2, c+1/2 | x, -y, -z | { 2 ‖ m100 | 1/2 1/2 1/2 } |
| a+1/2, -b+1/2, c+1/2 | x, -y, -z | { 2 ‖ m010 | 1/2 1/2 1/2 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 2a | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,0,c | 0,0,0) |
| 2b | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,1/2,c | 0,0,0) |
| 4c | $.\ce{^{-1}{m}}.\ce{^{\infty m}{1}} $ | (a,0,c | 0,0,0) |
| 4d | $\ce{^{-1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c | 0,0,0) |
| 8e | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c | 0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| Γ:(0,0,0) | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| X:(1,1,1) | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| R:(1/2,0,1/2) | $\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| S:(0,1/2,1/2) | $\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| T:(1/2,1/2,0) | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| W:(1/2,1/2,1/2) | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Δ:(0,v,0) | $ \ce{^{2}{m}}\ce{^{-1}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Λ:(0,0,w) | $\ce{^{2}{m}}\ce{^{2}{m}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{-1}{m}}\ce{^{2}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| A:(0,v,w) | $\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| B:(u,0,w) | $\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| C:(u,v,0) | $\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| D:(u,1/2,1/2) | $\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| P:(1/2,1/2,w) | $\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Q:(1/2,v,1/2) | $\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{1}{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_{2}^{S}(2) $ | |
| R:(-1/2,1,-1/2) | L:(1/2,1/2,1/2) | $2(R)L_{1}^{S}(2) $ | |
| S:(0,1/2,-1/2) | V:(1/2,1/2,0) | $2(S)V_{1}^{S}(2) $ | |
| T:(-1/2,1/2,-1) | M:(0,1,1/2) | $2 (T)M_{1}^{S}(1)⊕2 (T)M_{2}^{S}(1)$ | Spin Splitting |
| W:(-1/2,1/2,-1/2) | U:(0,1/2,1/2) | $(W)U_{1}^{S}(2)⊕(W)U_{2}^{S}(2) $ | |
| X:(0,0,-1) | Y:(0,1,0) | $(X)Y_{1}^{S}(2)⊕(X)Y_{2}^{S}(2) $ | |
| D:(u,1/2,1/2) | GP:(1/2+u,-1/2,-u) | $2(D)GP_{1}^{S}(2) $ | |
| Δ:(0,v,0) | B:(v,0,0) | $2(Δ)B_{1}^{S}(2) $ | |
| Λ:(0,0,w) | Λ:(0,-w,0) | $Λ_{1}^{S}(2)⊕Λ_{2}^{S}(2) $ | |
| P:(-1/2,1/2,-1+w) | U:(0,1-w,1/2) | $2(P)U_{1}^{S}(1)⊕2(P)U_{2}^{S}(1)$ | Spin Splitting |
| Q:(1/2,v,1/2) | GP:(1/2+v,-1/2,-1/2) | $2(Q)GP_{1}^{S}(2) $ | |
| Σ:(u,0,0) | B:(u,0,-u) | $2(Σ)B_{1}^{S}(2) $ | |
| A:(0,v,w) | GP:(v,-w,0) | $2(A)GP_{1}^{S}(2) $ | |
| B:(u,0,w) | GP:(u,-w,-u) | $2(B)GP_{1}^{S}(2) $ | |
| C:(u,v,0) | B:(u+v,0,-u) | $2(C)B_{1}^{S}(2) $ | |
| GP:(u,v,w) | GP:(u+v,-w,-u) | $4GP_{1}^{S}(1)$ | Spin Splitting |