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 ‖ m100 | 0 } |
| -a, -b, c | -x, -y, -z | { -1 ‖ 2001 | 0 } |
| a, -b, c | -x, -y, -z | { -1 ‖ m010 | 0 } |
| 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 ‖ m100 | 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+1/2 | -x, -y, -z | { -1 ‖ m010 | 0 1/2 1/2 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, b, c | -x, y, z | { m ‖ m100 | 0 } |
| -a, -b, c | x, -y, -z | { 2 ‖ 2001 | 0 } |
| a, -b, c | x, -y, -z | { 2 ‖ m010 | 0 } |
| 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 ‖ m100 | 0 1/2 1/2 } |
| -a, -b+1/2, c+1/2 | x, -y, -z | { 2 ‖ 2001 | 0 1/2 1/2 } |
| a, -b+1/2, c+1/2 | x, -y, -z | { 2 ‖ m010 | 0 1/2 1/2 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 2a | $\ce{^{1}{m}}\ce{^{-1}{m}}\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (0,0,c | 0,0,0) |
| 2b | $\ce{^{1}{m}}\ce{^{-1}{m}}\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (1/2,0,c | 0,0,0) |
| 4c | $.\ce{^{-1}{m}}.\ce{^{\infty m}{1}} $ | (a,0,c | 0,0,0) |
| 4d | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c | 0,0,z) |
| 4e | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (1/2,b,c | 0,0,z) |
| 8f | $\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{^{2}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| B:(0,v,1/2) | $\ce{^{1}{m}}\ce{^{-1}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| Δ:(0,v,0) | $\ce{^{1}{m}}\ce{^{-1}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| H:(1,0,w) | $\ce{^{1}{m}}\ce{^{2}{m}}\ce{^{2}{2}}\ce{^{\infty}{1}} $ |
| Λ:(0,0,w) | $ \ce{^{1}{m}}\ce{^{2}{m}}\ce{^{2}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{m}{m}}\ce{^{2}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| D:(1/2,1/2,w) | $\ce{^{2}{2}}\ce{^{\infty}{1}} $ |
| K:(0,v,w) | $\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| M:(u,0,w) | $\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| P:(u,v,0) | $\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| Q:(u,v,1/2) | $\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{1}{1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | k-vector-G↑ | A'↑G(2) | |
| Γ:(0,0,0) | Γ:(0,0,0) | $Γ_{1}^{S}(2) $ | |
| R:(1/2,-1/2,1/2) | C:(1/2,1/2,0) | $(R)C_{1}^{S}(2) $ | |
| S:(0,-1/2,1/2) | Y:(1/2,0,0) | $(S)Y_{1}^{S}(2) $ | |
| T:(1/2,0,1) | E:(1/2,1/2,1/2) | $(T)E_{1}^{S}(2) $ | |
| Y:(0,0,1) | A:(1/2,0,1/2) | $(Y)A_{1}^{S}(2) $ | |
| Z:(1/2,0,0) | Z:(0,1/2,0) | $Z_{1}^{S}(2) $ | |
| A:(1/2,0,w) | G:(w/2,1/2,w/2) | $(A)G_{1}^{S}(2) $ | |
| B:(1/2,v,0) | G:(-v/2,1/2,v/2) | $(B)G_{1}^{S}(2) $ | |
| D:(u,-1/2,1/2) | W:(1/2,u,0) | $(D)W_{1}^{S}(2) $ | |
| Δ:(0,v,0) | F:(-v/2,0,v/2) | $(Δ)F_{1}^{S}(2) $ | |
| H:(u,0,1) | U:(1/2,u,1/2) | $(H)U_{1}^{S}(2) $ | |
| Λ:(u,0,0) | Λ:(0,u,0) | $Λ_{1}^{S}(2) $ | |
| Σ:(0,0,w) | F:(w/2,0,w/2) | $(Σ)F_{1}^{S}(2) $ | |
| K:(u,v,0) | GP:(-v/2,u,v/2) | $2(K)GP_{1}^{S}(1)$ | Spin Splitting |
| M:(u,0,w) | GP:(w/2,u,w/2) | $(M)GP_{1}^{S}(2) $ | |
| P:(0,v,w) | F:(-v/2+w/2,0,v/2+w/2) | $(P)F_{1}^{S}(2) $ | |
| Q:(1/2,v,w) | G:(-v/2+w/2,1/2,v/2+w/2) | $(Q)G_{1}^{S}(2) $ | |
| GP:(u,v,w) | GP:(-v/2+w/2,u,v/2+w/2) | $2GP_{1}^{S}(1)$ | Spin Splitting |
| k-vector | k-vector-G↑ | A'↑G(2) | |
| Γ:(0,0,0) | Γ:(0,0,0) | $Γ_{1}^{S}(2) $ | |
| R:(1/2,-1/2,1/2) | C:(1/2,1/2,0) | $(R)C_{2}^{S}(2) $ | |
| S:(0,-1/2,1/2) | Y:(1/2,0,0) | $(S)Y_{1}^{S}(2) $ | |
| T:(1/2,0,1) | E:(1/2,1/2,1/2) | $(T)E_{2}^{S}(2) $ | |
| Y:(0,0,1) | A:(1/2,0,1/2) | $(Y)A_{1}^{S}(2) $ | |
| Z:(1/2,0,0) | Z:(0,1/2,0) | $Z_{2}^{S}(2) $ | |
| A:(1/2,0,w) | G:(w/2,1/2,w/2) | $(A)G_{2}^{S}(2) $ | |
| B:(1/2,v,0) | G:(-v/2,1/2,v/2) | $(B)G_{2}^{S}(2) $ | |
| D:(u,-1/2,1/2) | W:(1/2,u,0) | $(D)W_{1}^{S}(2) $ | |
| Δ:(0,v,0) | F:(-v/2,0,v/2) | $(Δ)F_{1}^{S}(2) $ | |
| H:(u,0,1) | U:(1/2,u,1/2) | $(H)U_{1}^{S}(2) $ | |
| Λ:(u,0,0) | Λ:(0,u,0) | $Λ_{1}^{S}(2) $ | |
| Σ:(0,0,w) | F:(w/2,0,w/2) | $(Σ)F_{1}^{S}(2) $ | |
| K:(u,v,0) | GP:(-v/2,u,v/2) | $2(K)GP_{1}^{S}(1)$ | Spin Splitting |
| M:(u,0,w) | GP:(w/2,u,w/2) | $(M)GP_{1}^{S}(2) $ | |
| P:(0,v,w) | F:(-v/2+w/2,0,v/2+w/2) | $(P)F_{1}^{S}(2) $ | |
| Q:(1/2,v,w) | G:(-v/2+w/2,1/2,v/2+w/2) | $(Q)G_{2}^{S}(2) $ | |
| GP:(u,v,w) | GP:(-v/2+w/2,u,v/2+w/2) | $2GP_{1}^{S}(1)$ | Spin Splitting |
| k-vector | k-vector-G↑ | A↑G(4) | |
| Γ:(0,0,0) | Γ:(0,0,0) | $Γ_{1}^{S}(2)⊕Γ_{2}^{S}(2) $ | |
| R:(1/2,-1/2,1/2) | C:(1/2,1/2,0) | $(R)C_{1}^{S}(2)⊕(R)C_{2}^{S}(2) $ | |
| S:(0,-1/2,1/2) | Y:(1/2,0,0) | $(S)Y_{1}^{S}(2)⊕(S)Y_{2}^{S}(2) $ | |
| T:(1/2,0,1) | E:(1/2,1/2,1/2) | $(T)E_{1}^{S}(2)⊕(T)E_{2}^{S}(2) $ | |
| Y:(0,0,1) | A:(1/2,0,1/2) | $(Y)A_{1}^{S}(2)⊕(Y)A_{2}^{S}(2) $ | |
| Z:(1/2,0,0) | Z:(0,1/2,0) | $Z_{1}^{S}(2)⊕Z_{2}^{S}(2) $ | |
| A:(1/2,0,w) | G:(w/2,1/2,w/2) | $(A)G_{1}^{S}(2)⊕(A)G_{2}^{S}(2) $ | |
| B:(1/2,v,0) | G:(-v/2,1/2,v/2) | $(B)G_{1}^{S}(2)⊕(B)G_{2}^{S}(2) $ | |
| D:(u,-1/2,1/2) | W:(1/2,u,0) | $2(D)W_{1}^{S}(2) $ | |
| Δ:(0,v,0) | F:(-v/2,0,v/2) | $(Δ)F_{1}^{S}(2)⊕(Δ)F_{2}^{S}(2) $ | |
| H:(u,0,1) | U:(1/2,u,1/2) | $2(H)U_{1}^{S}(2) $ | |
| Λ:(u,0,0) | Λ:(0,u,0) | $2Λ_{1}^{S}(2) $ | |
| Σ:(0,0,w) | F:(w/2,0,w/2) | $(Σ)F_{1}^{S}(2)⊕(Σ)F_{2}^{S}(2) $ | |
| K:(u,v,0) | GP:(-v/2,u,v/2) | $4(K)GP_{1}^{S}(1)$ | Spin Splitting |
| M:(u,0,w) | GP:(w/2,u,w/2) | $2(M)GP_{1}^{S}(2) $ | |
| P:(0,v,w) | F:(-v/2+w/2,0,v/2+w/2) | $(P)F_{1}^{S}(2)⊕(P)F_{2}^{S}(2) $ | |
| Q:(1/2,v,w) | G:(-v/2+w/2,1/2,v/2+w/2) | $(Q)G_{1}^{S}(2)⊕(Q)G_{2}^{S}(2) $ | |
| GP:(u,v,w) | GP:(-v/2+w/2,u,v/2+w/2) | $4GP_{1}^{S}(1)$ | Spin Splitting |