The continuously infinite group ∞1 is omitted.
| Coordinates | Seitz symbol |
|---|---|
| a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
| a+1/2, -b+1/2, -c | x, y, z | { 1 ‖ 2100 | 1/2 1/2 0 } |
| -a, b+1/2, -c+1/2 | x, y, z | { 1 ‖ 2010 | 0 1/2 1/2 } |
| -a+1/2, -b, c+1/2 | x, y, z | { 1 ‖ 2001 | 1/2 0 1/2 } |
| c, a, b | x, y, z | { 1 ‖ 3+111 | 0 } |
| b, c, a | x, y, z | { 1 ‖ 3-111 | 0 } |
| -b, c+1/2, -a+1/2 | x, y, z | { 1 ‖ 3-1-1-1 | 0 1/2 1/2 } |
| -c+1/2, -a, b+1/2 | x, y, z | { 1 ‖ 3+1-1-1 | 1/2 0 1/2 } |
| -b+1/2, -c, a+1/2 | x, y, z | { 1 ‖ 3--11-1 | 1/2 0 1/2 } |
| c+1/2, -a+1/2, -b | x, y, z | { 1 ‖ 3+-11-1 | 1/2 1/2 0 } |
| b+1/2, -c+1/2, -a | x, y, z | { 1 ‖ 3--1-11 | 1/2 1/2 0 } |
| -c, a+1/2, -b+1/2 | x, y, z | { 1 ‖ 3+-1-11 | 0 1/2 1/2 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| a+1/2, -b+1/2, -c | -x, y, z | { m ‖ 2100 | 1/2 1/2 0 } |
| -a, b+1/2, -c+1/2 | -x, y, z | { m ‖ 2010 | 0 1/2 1/2 } |
| -a+1/2, -b, c+1/2 | -x, y, z | { m ‖ 2001 | 1/2 0 1/2 } |
| c, a, b | -x, y, z | { m ‖ 3+111 | 0 } |
| b, c, a | -x, y, z | { m ‖ 3-111 | 0 } |
| -b, c+1/2, -a+1/2 | -x, y, z | { m ‖ 3-1-1-1 | 0 1/2 1/2 } |
| -c+1/2, -a, b+1/2 | -x, y, z | { m ‖ 3+1-1-1 | 1/2 0 1/2 } |
| -b+1/2, -c, a+1/2 | -x, y, z | { m ‖ 3--11-1 | 1/2 0 1/2 } |
| c+1/2, -a+1/2, -b | -x, y, z | { m ‖ 3+-11-1 | 1/2 1/2 0 } |
| b+1/2, -c+1/2, -a | -x, y, z | { m ‖ 3--1-11 | 1/2 1/2 0 } |
| -c, a+1/2, -b+1/2 | -x, y, z | { m ‖ 3+-1-11 | 0 1/2 1/2 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 4a | $.\ce{^{1}{3}}.\ce{^{\infty m}{1}} $ | (a,a,a |0,0,z) |
| 12b | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c |0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| Γ:(0,0,0) | $\ce{^{1}{2}}\ce{^{1}{3}}\ce{^{\infty m}{1}} $ |
| R:(1/2,1/2,1/2) | $\ce{^{1}{2}}\ce{^{1}{3}}\ce{^{\infty m}{1}} $ |
| M:(1/2,1/2,0) | $\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| X:(0,1/2,0) | $\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| Δ:(0,v,0) | $\ce{^{m}{2}}\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| T:(1/2,1/2,w) | $\ce{^{m}{2}}\ce{^{m}{2}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Z:(u,1/2,0) | $\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| ZA:(1/2,u,0) | $\ce{^{m}{2}}\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Λ:(u,u,u) | $\ce{^{1}{3}}\ce{^{\infty}{1}} $ |
| A:(u,v,0) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| B:(u,1/2,w) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| S:(u,1/2,u) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,u,0) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| C:(u,u,w) | $\ce{^{1}{1}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{1}{1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | A1↑G(4) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{4}^{S}(3) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S}R_{3}^{S}(4) $ |
| M:(1/2,1/2,0) | $M_{1}^{S}M_{2}^{S}(2)⊕M_{3}^{S}M_{4}^{S}(2) $ |
| X:(0,1/2,0) | $2X_{1}^{S}(2) $ |
| Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1) $ |
| T:(1/2,1/2,w) | $T_{1}^{S}T_{1}^{S}(2)⊕T_{2}^{S}T_{2}^{S}(2) $ |
| Z:(u,1/2,0) | $2Z_{1}^{S}Z_{2}^{S}(2) $ |
| ZA:(1/2,u,0) | $2ZA_{1}^{S}ZA_{2}^{S}(2) $ |
| Λ:(u,u,u) | $2Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1) $ |
| A:(u,v,0) | $4A_{1}^{S}(1) $ |
| B:(u,1/2,w) | $2B_{1}^{S}B_{1}^{S}(2) $ |
| S:(u,1/2,u) | $2S_{1}^{S}S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $4Σ_{1}^{S}(1) $ |
| C:(u,u,w) | $4C_{1}^{S}(1) $ |
| GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
| k-vector | A↑G(12) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}Γ_{3}^{S}(2)⊕3Γ_{4}^{S}(3) $ |
| R:(1/2,1/2,1/2) | $2R_{1}^{S}R_{3}^{S}(4)⊕R_{2}^{S}R_{2}^{S}(4) $ |
| M:(1/2,1/2,0) | $3M_{1}^{S}M_{2}^{S}(2)⊕3M_{3}^{S}M_{4}^{S}(2) $ |
| X:(0,1/2,0) | $6X_{1}^{S}(2) $ |
| Δ:(0,v,0) | $6Δ_{1}^{S}(1)⊕6Δ_{2}^{S}(1) $ |
| T:(1/2,1/2,w) | $3T_{1}^{S}T_{1}^{S}(2)⊕3T_{2}^{S}T_{2}^{S}(2) $ |
| Z:(u,1/2,0) | $6Z_{1}^{S}Z_{2}^{S}(2) $ |
| ZA:(1/2,u,0) | $6ZA_{1}^{S}ZA_{2}^{S}(2) $ |
| Λ:(u,u,u) | $4Λ_{1}^{S}(1)⊕4Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(1) $ |
| A:(u,v,0) | $12A_{1}^{S}(1) $ |
| B:(u,1/2,w) | $6B_{1}^{S}B_{1}^{S}(2) $ |
| S:(u,1/2,u) | $6S_{1}^{S}S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $12Σ_{1}^{S}(1) $ |
| C:(u,u,w) | $12C_{1}^{S}(1) $ |
| GP:(u,v,w) | $12GP_{1}^{S}(1) $ |