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+1/2 | x, y, z | { 1 ‖ m100 | 0 0 1/2 } |
| a, -b, c+1/2 | x, y, z | { 1 ‖ m010 | 0 0 1/2 } |
| -b, a+1/2, c+1/4 | -x, -y, -z | { -1 ‖ 4+001 | 0 1/2 1/4 } |
| b, -a+1/2, c+1/4 | -x, -y, -z | { -1 ‖ 4-001 | 0 1/2 1/4 } |
| -b+1/2, -a, c+1/4 | -x, -y, -z | { -1 ‖ m110 | 1/2 0 1/4 } |
| b+1/2, a, c+1/4 | -x, -y, -z | { -1 ‖ m1-10 | 1/2 0 1/4 } |
| 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 | x, y, z | { 1 ‖ m100 | 1/2 1/2 0 } |
| a+1/2, -b+1/2, c | x, y, z | { 1 ‖ m010 | 1/2 1/2 0 } |
| -b+1/2, a, c+3/4 | -x, -y, -z | { -1 ‖ 4+001 | 1/2 0 3/4 } |
| b+1/2, -a, c+3/4 | -x, -y, -z | { -1 ‖ 4-001 | 1/2 0 3/4 } |
| -b, -a+1/2, c+3/4 | -x, -y, -z | { -1 ‖ m110 | 0 1/2 3/4 } |
| b, a+1/2, c+3/4 | -x, -y, -z | { -1 ‖ m1-10 | 0 1/2 3/4 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, -b, c | -x, y, z | { m ‖ 2001 | 0 } |
| -a, b, c+1/2 | -x, y, z | { m ‖ m100 | 0 0 1/2 } |
| a, -b, c+1/2 | -x, y, z | { m ‖ m010 | 0 0 1/2 } |
| -b, a+1/2, c+1/4 | x, -y, -z | { 2 ‖ 4+001 | 0 1/2 1/4 } |
| b, -a+1/2, c+1/4 | x, -y, -z | { 2 ‖ 4-001 | 0 1/2 1/4 } |
| -b+1/2, -a, c+1/4 | x, -y, -z | { 2 ‖ m110 | 1/2 0 1/4 } |
| b+1/2, a, c+1/4 | x, -y, -z | { 2 ‖ m1-10 | 1/2 0 1/4 } |
| 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 | -x, y, z | { m ‖ m100 | 1/2 1/2 0 } |
| a+1/2, -b+1/2, c | -x, y, z | { m ‖ m010 | 1/2 1/2 0 } |
| -b+1/2, a, c+3/4 | x, -y, -z | { 2 ‖ 4+001 | 1/2 0 3/4 } |
| b+1/2, -a, c+3/4 | x, -y, -z | { 2 ‖ 4-001 | 1/2 0 3/4 } |
| -b, -a+1/2, c+3/4 | x, -y, -z | { 2 ‖ m110 | 0 1/2 3/4 } |
| b, a+1/2, c+3/4 | x, -y, -z | { 2 ‖ m1-10 | 0 1/2 3/4 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 8a | $\ce{^{1}{2}}..\ce{^{\infty m}{1}} $ | (0,0,c | 0,0,z) |
| 16b | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c | 0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| Γ:(0,0,0) | $\ce{^{-1}{4}}\ce{^{1}{m}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| M:(1,1,1) | $\ce{^{-1}{4}}\ce{^{1}{m}}\ce{^{-1}{m}}\ce{^{\infty m}{1}} $ |
| P:(1/2,1/2,1/2) | $\ce{^{-1}{4}}\ce{^{m}{m}}\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| X:(1/2,1/2,0) | $\ce{^{2}{m}}\ce{^{2}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| N:(1/2,0,1/2) | $\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| Λ:(0,0,w) | $\ce{^{2}{4}}\ce{^{1}{m}}\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| Δ:(u,u,0) | $\ce{^{2}{m}}\ce{^{-1}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Q:(1/2,v,1/2) | $\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| W:(1/2,1/2,w) | $\ce{^{2}{m}}\ce{^{2}{m}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Y:(u,1-u,0) | $\ce{^{-1}{m}}\ce{^{2}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| A:(u,u,w) | $\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| B:(u,0,w) | $\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| C:(u,v,0) | $\ce{^{m}{2}}\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) $ | |
| M:(1,1,1) | X:(1,1,1) | $(M)X_{1}^{S}(2)⊕(M)X_{2}^{S}(2) $ | |
| N:(1/2,0,1/2) | R:(1/2,0,1/2) | $2(N)R_{1}^{S}R_{2}^{S}(2)$ | Spin Splitting |
| P:(1/2,1/2,1/2) | W:(1/2,1/2,1/2) | $(P)W_{1}^{S}W_{1}^{S}(4) $ | |
| X:(1/2,1/2,0) | T:(1/2,1/2,0) | $2(X)T_{1}^{S}(2) $ | |
| Δ:(u,u,0) | C:(u,u,0) | $2(Δ)C_{1}^{S}(2) $ | |
| Λ:(0,0,w) | Λ:(0,0,w) | $Λ_{1}^{S}(2)⊕Λ_{2}^{S}(2) $ | |
| Q:(1/2,v,1/2) | Q:(1/2,v,1/2) | $2Q_{1}^{S}Q_{1}^{S}(2)$ | Spin Splitting |
| Σ:(u,0,0) | Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)$ | Spin Splitting |
| W:(1/2,1/2,w) | P:(1/2,1/2,w) | $2(W)P_{1}^{S}(2) $ | |
| Y:(u,1-u,0) | C:(u,1-u,0) | $2(Y)C_{1}^{S}(2) $ | |
| A:(u,u,w) | GP:(u,u,w) | $2(A)GP_{1}^{S}(2) $ | |
| B:(u,0,w) | B:(u,0,w) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1)$ | Spin Splitting |
| C:(u,v,0) | C:(u,v,0) | $4C_{1}^{S}(1)$ | Spin Splitting |
| GP:(u,v,w) | GP:(u,v,w) | $4GP_{1}^{S}(1)$ | Spin Splitting |
| k-vector | k-vector-G↑ | A↑G(8) | |
| Γ:(0,0,0) | Γ:(0,0,0) | $Γ_{1}^{S}(2)⊕Γ_{2}^{S}(2)⊕Γ_{3}^{S}(2)⊕Γ_{4}^{S}(2) $ | |
| M:(1,1,1) | X:(1,1,1) | $(M)X_{1}^{S}(2)⊕(M)X_{2}^{S}(2)⊕(M)X_{3}^{S}(2)⊕(M)X_{4}^{S}(2) $ | |
| N:(1/2,0,1/2) | R:(1/2,0,1/2) | $4(N)R_{1}^{S}R_{2}^{S}(2)$ | Spin Splitting |
| P:(1/2,1/2,1/2) | W:(1/2,1/2,1/2) | $(P)W_{1}^{S}W_{1}^{S}(4)⊕(P)W_{2}^{S}W_{2}^{S}(4) $ | |
| X:(1/2,1/2,0) | T:(1/2,1/2,0) | $2(X)T_{1}^{S}(2)⊕2(X)T_{2}^{S}(2) $ | |
| Δ:(u,u,0) | C:(u,u,0) | $4(Δ)C_{1}^{S}(2) $ | |
| Λ:(0,0,w) | Λ:(0,0,w) | $Λ_{1}^{S}(2)⊕Λ_{2}^{S}(2)⊕Λ_{3}^{S}(2)⊕Λ_{4}^{S}(2) $ | |
| Q:(1/2,v,1/2) | Q:(1/2,v,1/2) | $4Q_{1}^{S}Q_{1}^{S}(2)$ | Spin Splitting |
| Σ:(u,0,0) | Σ:(u,0,0) | $4Σ_{1}^{S}(1)⊕4Σ_{2}^{S}(1)$ | Spin Splitting |
| W:(1/2,1/2,w) | P:(1/2,1/2,w) | $2(W)P_{1}^{S}(2)⊕2(W)P_{2}^{S}(2) $ | |
| Y:(u,1-u,0) | C:(u,1-u,0) | $4(Y)C_{1}^{S}(2) $ | |
| A:(u,u,w) | GP:(u,u,w) | $4(A)GP_{1}^{S}(2) $ | |
| B:(u,0,w) | B:(u,0,w) | $4B_{1}^{S}(1)⊕4B_{2}^{S}(1)$ | Spin Splitting |
| C:(u,v,0) | C:(u,v,0) | $8C_{1}^{S}(1)$ | Spin Splitting |
| GP:(u,v,w) | GP:(u,v,w) | $8GP_{1}^{S}(1)$ | Spin Splitting |