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 } |
| a, b+1/2, c+1/2 | x, y, z | { 1 ‖ 1 | 0 1/2 1/2 } |
| -a, -b+1/2, c+1/2 | x, y, z | { 1 ‖ 2001 | 0 1/2 1/2 } |
| -a, b+1/2, c | x, y, z | { 1 ‖ m100 | 0 1/2 0 } |
| a, -b+1/2, c | x, y, z | { 1 ‖ m010 | 0 1/2 0 } |
| 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 } |
| a, b+1/2, c+1/2 | -x, y, z | { m ‖ 1 | 0 1/2 1/2 } |
| -a, -b+1/2, c+1/2 | -x, y, z | { m ‖ 2001 | 0 1/2 1/2 } |
| -a, b+1/2, c | -x, y, z | { m ‖ m100 | 0 1/2 0 } |
| a, -b+1/2, c | -x, y, z | { m ‖ m010 | 0 1/2 0 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 4a | $..\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,0,c |0,0,z) |
| 4b | $..\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/2,0,c |0,0,z) |
| 4c | $.\ce{^{1}{m}}.\ce{^{\infty m}{1}} $ | (a,1/4,c |0,0,z) |
| 8d | $\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}} $ |
| T:(1,0,1/2) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| Y:(1,0,0) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| Z:(0,0,1/2) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| R:(1/2,1/2,1/2) | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| S:(1/2,1/2,0) | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| A:(u,0,1/2) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| B:(0,v,1/2) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Δ:(0,v,0) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| H:(1,0,w) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Λ:(0,0,w) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| D:(1/2,1/2,w) | $\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| K:(0,v,w) | $\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| M:(u,0,w) | $\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| P:(u,v,0) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Q:(u,v,1/2) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{1}{1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | A↑G(2) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}(1) $ |
| T:(1/2,0,-1) | $T_{1}^{S}(1)⊕T_{2}^{S}(1) $ |
| Y:(0,0,-1) | $Y_{1}^{S}(1)⊕Y_{2}^{S}(1) $ |
| Z:(1/2,0,0) | $Z_{1}^{S}(1)⊕Z_{2}^{S}(1) $ |
| R:(1/2,1/2,-1/2) | $R_{1}^{S}R_{2}^{S}(2) $ |
| S:(0,1/2,-1/2) | $S_{1}^{S}S_{2}^{S}(2) $ |
| A:(1/2,0,w) | $A_{1}^{S}(1)⊕A_{2}^{S}(1) $ |
| B:(1/2,v,0) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1) $ |
| H:(u,0,-1) | $H_{1}^{S}(1)⊕H_{2}^{S}(1) $ |
| Λ:(u,0,0) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
| Σ:(0,0,w) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
| D:(u,1/2,-1/2) | $D_{1}^{S}D_{1}^{S}(2) $ |
| K:(u,v,0) | $2K_{1}^{S}(1) $ |
| M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
| P:(0,v,w) | $P_{1}^{S}(1)⊕P_{2}^{S}(1) $ |
| Q:(1/2,v,w) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A↑G(2) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}(1) $ |
| T:(1/2,0,-1) | $T_{3}^{S}(1)⊕T_{4}^{S}(1) $ |
| Y:(0,0,-1) | $Y_{1}^{S}(1)⊕Y_{2}^{S}(1) $ |
| Z:(1/2,0,0) | $Z_{3}^{S}(1)⊕Z_{4}^{S}(1) $ |
| R:(1/2,1/2,-1/2) | $R_{1}^{S}R_{2}^{S}(2) $ |
| S:(0,1/2,-1/2) | $S_{1}^{S}S_{2}^{S}(2) $ |
| A:(1/2,0,w) | $A_{3}^{S}(1)⊕A_{4}^{S}(1) $ |
| B:(1/2,v,0) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1) $ |
| H:(u,0,-1) | $H_{1}^{S}(1)⊕H_{2}^{S}(1) $ |
| Λ:(u,0,0) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
| Σ:(0,0,w) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
| D:(u,1/2,-1/2) | $D_{1}^{S}D_{1}^{S}(2) $ |
| K:(u,v,0) | $2K_{1}^{S}(1) $ |
| M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
| P:(0,v,w) | $P_{1}^{S}(1)⊕P_{2}^{S}(1) $ |
| Q:(1/2,v,w) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A'↑G(2) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{3}^{S}(1) $ |
| T:(1/2,0,-1) | $T_{2}^{S}(1)⊕T_{4}^{S}(1) $ |
| Y:(0,0,-1) | $Y_{2}^{S}(1)⊕Y_{4}^{S}(1) $ |
| Z:(1/2,0,0) | $Z_{1}^{S}(1)⊕Z_{3}^{S}(1) $ |
| R:(1/2,1/2,-1/2) | $R_{1}^{S}R_{2}^{S}(2) $ |
| S:(0,1/2,-1/2) | $S_{1}^{S}S_{2}^{S}(2) $ |
| A:(1/2,0,w) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
| B:(1/2,v,0) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1) $ |
| H:(u,0,-1) | $2H_{2}^{S}(1) $ |
| Λ:(u,0,0) | $2Λ_{1}^{S}(1) $ |
| Σ:(0,0,w) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
| D:(u,1/2,-1/2) | $D_{1}^{S}D_{1}^{S}(2) $ |
| K:(u,v,0) | $2K_{1}^{S}(1) $ |
| M:(u,0,w) | $2M_{1}^{S}(1) $ |
| P:(0,v,w) | $P_{1}^{S}(1)⊕P_{2}^{S}(1) $ |
| Q:(1/2,v,w) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A↑G(4) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}(1)⊕Γ_{3}^{S}(1)⊕Γ_{4}^{S}(1) $ |
| T:(1/2,0,-1) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕T_{3}^{S}(1)⊕T_{4}^{S}(1) $ |
| Y:(0,0,-1) | $Y_{1}^{S}(1)⊕Y_{2}^{S}(1)⊕Y_{3}^{S}(1)⊕Y_{4}^{S}(1) $ |
| Z:(1/2,0,0) | $Z_{1}^{S}(1)⊕Z_{2}^{S}(1)⊕Z_{3}^{S}(1)⊕Z_{4}^{S}(1) $ |
| R:(1/2,1/2,-1/2) | $2R_{1}^{S}R_{2}^{S}(2) $ |
| S:(0,1/2,-1/2) | $2S_{1}^{S}S_{2}^{S}(2) $ |
| A:(1/2,0,w) | $A_{1}^{S}(1)⊕A_{2}^{S}(1)⊕A_{3}^{S}(1)⊕A_{4}^{S}(1) $ |
| B:(1/2,v,0) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1) $ |
| Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1) $ |
| H:(u,0,-1) | $2H_{1}^{S}(1)⊕2H_{2}^{S}(1) $ |
| Λ:(u,0,0) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1) $ |
| Σ:(0,0,w) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
| D:(u,1/2,-1/2) | $2D_{1}^{S}D_{1}^{S}(2) $ |
| K:(u,v,0) | $4K_{1}^{S}(1) $ |
| M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
| P:(0,v,w) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1) $ |
| Q:(1/2,v,w) | $2Q_{1}^{S}(1)⊕2Q_{2}^{S}(1) $ |
| GP:(u,v,w) | $4GP_{1}^{S}(1) $ |