The continuously infinite group ∞1 is omitted.
| Coordinates | Seitz symbol |
|---|---|
| a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
| a-b, a, c+1/6 | x, y, z | { 1 ‖ 6+001 | 0 0 1/6 } |
| -b, a-b, c+1/3 | x, y, z | { 1 ‖ 3+001 | 0 0 1/3 } |
| -a, -b, c+1/2 | x, y, z | { 1 ‖ 2001 | 0 0 1/2 } |
| -a+b, -a, c+2/3 | x, y, z | { 1 ‖ 3-001 | 0 0 2/3 } |
| b, -a+b, c+5/6 | x, y, z | { 1 ‖ 6-001 | 0 0 5/6 } |
| a-b, -b, -c | x, y, z | { 1 ‖ 2100 | 0 } |
| b, a, -c+1/3 | x, y, z | { 1 ‖ 2110 | 0 0 1/3 } |
| -a, -a+b, -c+2/3 | x, y, z | { 1 ‖ 2010 | 0 0 2/3 } |
| a, a-b, -c+1/6 | x, y, z | { 1 ‖ 2210 | 0 0 1/6 } |
| -a+b, b, -c+1/2 | x, y, z | { 1 ‖ 2120 | 0 0 1/2 } |
| -b, -a, -c+5/6 | x, y, z | { 1 ‖ 21-10 | 0 0 5/6 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| a-b, a, c+1/6 | -x, y, z | { m ‖ 6+001 | 0 0 1/6 } |
| -b, a-b, c+1/3 | -x, y, z | { m ‖ 3+001 | 0 0 1/3 } |
| -a, -b, c+1/2 | -x, y, z | { m ‖ 2001 | 0 0 1/2 } |
| -a+b, -a, c+2/3 | -x, y, z | { m ‖ 3-001 | 0 0 2/3 } |
| b, -a+b, c+5/6 | -x, y, z | { m ‖ 6-001 | 0 0 5/6 } |
| a-b, -b, -c | -x, y, z | { m ‖ 2100 | 0 } |
| b, a, -c+1/3 | -x, y, z | { m ‖ 2110 | 0 0 1/3 } |
| -a, -a+b, -c+2/3 | -x, y, z | { m ‖ 2010 | 0 0 2/3 } |
| a, a-b, -c+1/6 | -x, y, z | { m ‖ 2210 | 0 0 1/6 } |
| -a+b, b, -c+1/2 | -x, y, z | { m ‖ 2120 | 0 0 1/2 } |
| -b, -a, -c+5/6 | -x, y, z | { m ‖ 21-10 | 0 0 5/6 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 6a | $.\ce{^{1}{2}}.\ce{^{\infty m}{1}} $ | (a,0,0 |0,0,z) |
| 6b | $..\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (a,2a,1/4 |0,0,z) |
| 12c | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c |0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| A:(0,0,1/2) | $\ce{^{1}{6}}\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| Γ:(0,0,0) | $\ce{^{1}{6}}\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| H:(1/3,1/3,1/2) | $\ce{^{m}{6}}\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| K:(1/3,1/3,0) | $\ce{^{m}{6}}\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| L:(1/2,0,1/2) | $\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| M:(1/2,0,0) | $\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| Δ:(0,0,w) | $\ce{^{1}{6}}\ce{^{m}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| P:(1/3,1/3,w) | $\ce{^{1}{3}}\ce{^{1}{1}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Λ:(u,u,0) | $\ce{^{m}{2}}\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Q:(u,u,1/2) | $\ce{^{m}{2}}\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| R:(u,0,1/2) | $\ce{^{1}{2}}\ce{^{m}{2}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| U:(1/2,0,w) | $\ce{^{m}{2}}\ce{^{m}{2}}\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| B:(u,v,0) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| C:(u,u,w) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| D:(u,0,w) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| E:(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(6) |
| A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{2}^{S}(2)⊕A_{3}^{S}(2) $ |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{3}^{S}(1)⊕Γ_{5}^{S}(2)⊕Γ_{6}^{S}(2) $ |
| H:(1/3,1/3,1/2) | $H_{1}^{S}H_{2}^{S}(2)⊕2H_{3}^{S}(2) $ |
| K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{3}^{S}(2) $ |
| L:(1/2,0,1/2) | $3L_{1}^{S}(2) $ |
| M:(1/2,0,0) | $2M_{1}^{S}(1)⊕M_{2}^{S}(1)⊕2M_{3}^{S}(1)⊕M_{4}^{S}(1) $ |
| Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕Δ_{5}^{S}(1)⊕Δ_{6}^{S}(1) $ |
| P:(1/3,1/3,w) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕2P_{3}^{S}(1) $ |
| Λ:(u,u,0) | $4Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1) $ |
| Σ:(u,0,0) | $3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1) $ |
| Q:(u,u,1/2) | $3Q_{1}^{S}Q_{2}^{S}(2) $ |
| R:(u,0,1/2) | $3R_{1}^{S}R_{2}^{S}(2) $ |
| U:(1/2,0,w) | $3U_{1}^{S}(1)⊕3U_{2}^{S}(1) $ |
| B:(u,v,0) | $6B_{1}^{S}(1) $ |
| C:(u,u,w) | $6C_{1}^{S}(1) $ |
| D:(u,0,w) | $6D_{1}^{S}(1) $ |
| E:(u,v,1/2) | $3E_{1}^{S}E_{1}^{S}(2) $ |
| GP:(u,v,w) | $6GP_{1}^{S}(1) $ |
| k-vector | A↑G(6) |
| A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{2}^{S}(2)⊕A_{3}^{S}(2) $ |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{4}^{S}(1)⊕Γ_{5}^{S}(2)⊕Γ_{6}^{S}(2) $ |
| H:(1/3,1/3,1/2) | $H_{1}^{S}H_{2}^{S}(2)⊕2H_{3}^{S}(2) $ |
| K:(1/3,1/3,0) | $K_{1}^{S}(1)⊕K_{2}^{S}(1)⊕2K_{3}^{S}(2) $ |
| L:(1/2,0,1/2) | $3L_{1}^{S}(2) $ |
| M:(1/2,0,0) | $2M_{1}^{S}(1)⊕M_{2}^{S}(1)⊕M_{3}^{S}(1)⊕2M_{4}^{S}(1) $ |
| Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕Δ_{5}^{S}(1)⊕Δ_{6}^{S}(1) $ |
| P:(1/3,1/3,w) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕2P_{3}^{S}(1) $ |
| Λ:(u,u,0) | $3Λ_{1}^{S}(1)⊕3Λ_{2}^{S}(1) $ |
| Σ:(u,0,0) | $4Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1) $ |
| Q:(u,u,1/2) | $3Q_{1}^{S}Q_{2}^{S}(2) $ |
| R:(u,0,1/2) | $3R_{1}^{S}R_{2}^{S}(2) $ |
| U:(1/2,0,w) | $3U_{1}^{S}(1)⊕3U_{2}^{S}(1) $ |
| B:(u,v,0) | $6B_{1}^{S}(1) $ |
| C:(u,u,w) | $6C_{1}^{S}(1) $ |
| D:(u,0,w) | $6D_{1}^{S}(1) $ |
| E:(u,v,1/2) | $3E_{1}^{S}E_{1}^{S}(2) $ |
| GP:(u,v,w) | $6GP_{1}^{S}(1) $ |
| k-vector | A↑G(12) |
| A:(0,0,1/2) | $2A_{1}^{S}(2)⊕2A_{2}^{S}(2)⊕2A_{3}^{S}(2) $ |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}(1)⊕Γ_{3}^{S}(1)⊕Γ_{4}^{S}(1)⊕2Γ_{5}^{S}(2)⊕2Γ_{6}^{S}(2) $ |
| H:(1/3,1/3,1/2) | $2H_{1}^{S}H_{2}^{S}(2)⊕4H_{3}^{S}(2) $ |
| K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1)⊕4K_{3}^{S}(2) $ |
| L:(1/2,0,1/2) | $6L_{1}^{S}(2) $ |
| M:(1/2,0,0) | $3M_{1}^{S}(1)⊕3M_{2}^{S}(1)⊕3M_{3}^{S}(1)⊕3M_{4}^{S}(1) $ |
| Δ:(0,0,w) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(1)⊕2Δ_{6}^{S}(1) $ |
| P:(1/3,1/3,w) | $4P_{1}^{S}(1)⊕4P_{2}^{S}(1)⊕4P_{3}^{S}(1) $ |
| Λ:(u,u,0) | $6Λ_{1}^{S}(1)⊕6Λ_{2}^{S}(1) $ |
| Σ:(u,0,0) | $6Σ_{1}^{S}(1)⊕6Σ_{2}^{S}(1) $ |
| Q:(u,u,1/2) | $6Q_{1}^{S}Q_{2}^{S}(2) $ |
| R:(u,0,1/2) | $6R_{1}^{S}R_{2}^{S}(2) $ |
| U:(1/2,0,w) | $6U_{1}^{S}(1)⊕6U_{2}^{S}(1) $ |
| B:(u,v,0) | $12B_{1}^{S}(1) $ |
| C:(u,u,w) | $12C_{1}^{S}(1) $ |
| D:(u,0,w) | $12D_{1}^{S}(1) $ |
| E:(u,v,1/2) | $6E_{1}^{S}E_{1}^{S}(2) $ |
| GP:(u,v,w) | $12GP_{1}^{S}(1) $ |