The continuously infinite group ∞1 is omitted.
| Coordinates | Seitz symbol |
|---|---|
| a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
| -b, a-b, c | x, y, z | { 1 ‖ 3+001 | 0 } |
| -a+b, -a, c | x, y, z | { 1 ‖ 3-001 | 0 } |
| a-b, -b, -c | x, y, z | { 1 ‖ 2100 | 0 } |
| b, a, -c | x, y, z | { 1 ‖ 2110 | 0 } |
| -a, -a+b, -c | x, y, z | { 1 ‖ 2010 | 0 } |
| a+2/3, b+1/3, c+1/3 | x, y, z | { 1 ‖ 1 | 2/3 1/3 1/3 } |
| -b+2/3, a-b+1/3, c+1/3 | x, y, z | { 1 ‖ 3+001 | 2/3 1/3 1/3 } |
| -a+b+2/3, -a+1/3, c+1/3 | x, y, z | { 1 ‖ 3-001 | 2/3 1/3 1/3 } |
| a-b+2/3, -b+1/3, -c+1/3 | x, y, z | { 1 ‖ 2100 | 2/3 1/3 1/3 } |
| b+2/3, a+1/3, -c+1/3 | x, y, z | { 1 ‖ 2110 | 2/3 1/3 1/3 } |
| -a+2/3, -a+b+1/3, -c+1/3 | x, y, z | { 1 ‖ 2010 | 2/3 1/3 1/3 } |
| a+1/3, b+2/3, c+2/3 | x, y, z | { 1 ‖ 1 | 1/3 2/3 2/3 } |
| -b+1/3, a-b+2/3, c+2/3 | x, y, z | { 1 ‖ 3+001 | 1/3 2/3 2/3 } |
| -a+b+1/3, -a+2/3, c+2/3 | x, y, z | { 1 ‖ 3-001 | 1/3 2/3 2/3 } |
| a-b+1/3, -b+2/3, -c+2/3 | x, y, z | { 1 ‖ 2100 | 1/3 2/3 2/3 } |
| b+1/3, a+2/3, -c+2/3 | x, y, z | { 1 ‖ 2110 | 1/3 2/3 2/3 } |
| -a+1/3, -a+b+2/3, -c+2/3 | x, y, z | { 1 ‖ 2010 | 1/3 2/3 2/3 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -b, a-b, c | -x, y, z | { m ‖ 3+001 | 0 } |
| -a+b, -a, c | -x, y, z | { m ‖ 3-001 | 0 } |
| a-b, -b, -c | -x, y, z | { m ‖ 2100 | 0 } |
| b, a, -c | -x, y, z | { m ‖ 2110 | 0 } |
| -a, -a+b, -c | -x, y, z | { m ‖ 2010 | 0 } |
| a+2/3, b+1/3, c+1/3 | -x, y, z | { m ‖ 1 | 2/3 1/3 1/3 } |
| -b+2/3, a-b+1/3, c+1/3 | -x, y, z | { m ‖ 3+001 | 2/3 1/3 1/3 } |
| -a+b+2/3, -a+1/3, c+1/3 | -x, y, z | { m ‖ 3-001 | 2/3 1/3 1/3 } |
| a-b+2/3, -b+1/3, -c+1/3 | -x, y, z | { m ‖ 2100 | 2/3 1/3 1/3 } |
| b+2/3, a+1/3, -c+1/3 | -x, y, z | { m ‖ 2110 | 2/3 1/3 1/3 } |
| -a+2/3, -a+b+1/3, -c+1/3 | -x, y, z | { m ‖ 2010 | 2/3 1/3 1/3 } |
| a+1/3, b+2/3, c+2/3 | -x, y, z | { m ‖ 1 | 1/3 2/3 2/3 } |
| -b+1/3, a-b+2/3, c+2/3 | -x, y, z | { m ‖ 3+001 | 1/3 2/3 2/3 } |
| -a+b+1/3, -a+2/3, c+2/3 | -x, y, z | { m ‖ 3-001 | 1/3 2/3 2/3 } |
| a-b+1/3, -b+2/3, -c+2/3 | -x, y, z | { m ‖ 2100 | 1/3 2/3 2/3 } |
| b+1/3, a+2/3, -c+2/3 | -x, y, z | { m ‖ 2110 | 1/3 2/3 2/3 } |
| -a+1/3, -a+b+2/3, -c+2/3 | -x, y, z | { m ‖ 2010 | 1/3 2/3 2/3 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 3a | $\ce{^{1}{3}}\ce{^{1}{2}}.\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
| 3b | $\ce{^{1}{3}}\ce{^{1}{2}}.\ce{^{\infty m}{1}} $ | (0,0,1/2 |0,0,z) |
| 6c | $\ce{^{1}{3}}..\ce{^{\infty m}{1}} $ | (0,0,c |0,0,z) |
| 9d | $.\ce{^{1}{2}}.\ce{^{\infty m}{1}} $ | (a,0,0 |0,0,z) |
| 9e | $.\ce{^{1}{2}}.\ce{^{\infty m}{1}} $ | (a,0,1/2 |0,0,z) |
| 18f | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c |0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| Γ:(0,0,0) | $\ce{^{1}{3}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| T:(0,0,3/2) | $\ce{^{1}{3}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| F:(0,1/2,1) | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| L:(-1/2,1/2,1/2) | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ |
| Λ:(0,0,w) | $\ce{^{1}{3}}\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,-2*u,0) | $\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| Y:(u,u,3/2) | $\ce{^{1}{2}}\ce{^{\infty}{1}} $ |
| C:(u,-u,w) | $\ce{^{m}{2}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{1}{1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | A1↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1) $ |
| T:(0,0,3/2) | $T_{1}^{S}(1) $ |
| F:(0,1/2,1) | $F_{1}^{S}(1) $ |
| L:(-1/2,1/2,1/2) | $L_{1}^{S}(1) $ |
| Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
| Σ:(u,-2*u,0) | $Σ_{1}^{S}(1) $ |
| Y:(u,u,3/2) | $Y_{1}^{S}(1) $ |
| C:(u,-u,w) | $C_{1}^{S}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | A1↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1) $ |
| T:(0,0,3/2) | $T_{2}^{S}(1) $ |
| F:(0,1/2,1) | $F_{1}^{S}(1) $ |
| L:(-1/2,1/2,1/2) | $L_{2}^{S}(1) $ |
| Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
| Σ:(u,-2*u,0) | $Σ_{1}^{S}(1) $ |
| Y:(u,u,3/2) | $Y_{2}^{S}(1) $ |
| C:(u,-u,w) | $C_{1}^{S}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | A1↑G(2) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}(1) $ |
| T:(0,0,3/2) | $T_{1}^{S}(1)⊕T_{2}^{S}(1) $ |
| F:(0,1/2,1) | $F_{1}^{S}(1)⊕F_{2}^{S}(1) $ |
| L:(-1/2,1/2,1/2) | $L_{1}^{S}(1)⊕L_{2}^{S}(1) $ |
| Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
| Σ:(u,-2*u,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
| Y:(u,u,3/2) | $Y_{1}^{S}(1)⊕Y_{2}^{S}(1) $ |
| C:(u,-u,w) | $2C_{1}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A↑G(3) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{3}^{S}(2) $ |
| T:(0,0,3/2) | $T_{1}^{S}(1)⊕T_{3}^{S}(2) $ |
| F:(0,1/2,1) | $2F_{1}^{S}(1)⊕F_{2}^{S}(1) $ |
| L:(-1/2,1/2,1/2) | $2L_{1}^{S}(1)⊕L_{2}^{S}(1) $ |
| Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1) $ |
| Σ:(u,-2*u,0) | $2Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
| Y:(u,u,3/2) | $2Y_{1}^{S}(1)⊕Y_{2}^{S}(1) $ |
| C:(u,-u,w) | $3C_{1}^{S}(1) $ |
| GP:(u,v,w) | $3GP_{1}^{S}(1) $ |
| k-vector | A↑G(3) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{3}^{S}(2) $ |
| T:(0,0,3/2) | $T_{2}^{S}(1)⊕T_{3}^{S}(2) $ |
| F:(0,1/2,1) | $2F_{1}^{S}(1)⊕F_{2}^{S}(1) $ |
| L:(-1/2,1/2,1/2) | $L_{1}^{S}(1)⊕2L_{2}^{S}(1) $ |
| Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1) $ |
| Σ:(u,-2*u,0) | $2Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
| Y:(u,u,3/2) | $Y_{1}^{S}(1)⊕2Y_{2}^{S}(1) $ |
| C:(u,-u,w) | $3C_{1}^{S}(1) $ |
| GP:(u,v,w) | $3GP_{1}^{S}(1) $ |
| k-vector | A↑G(6) |
| Γ:(0,0,0) | $Γ_{1}^{S}(1)⊕Γ_{2}^{S}(1)⊕2Γ_{3}^{S}(2) $ |
| T:(0,0,3/2) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕2T_{3}^{S}(2) $ |
| F:(0,1/2,1) | $3F_{1}^{S}(1)⊕3F_{2}^{S}(1) $ |
| L:(-1/2,1/2,1/2) | $3L_{1}^{S}(1)⊕3L_{2}^{S}(1) $ |
| Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(1) $ |
| Σ:(u,-2*u,0) | $3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1) $ |
| Y:(u,u,3/2) | $3Y_{1}^{S}(1)⊕3Y_{2}^{S}(1) $ |
| C:(u,-u,w) | $6C_{1}^{S}(1) $ |
| GP:(u,v,w) | $6GP_{1}^{S}(1) $ |