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 ‖ m010 | 0 } |
| -a, -b, c | -x, -y, -z | { -1 ‖ 2001 | 0 } |
| -a, b, c | -x, -y, -z | { -1 ‖ m100 | 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 ‖ m010 | 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 ‖ m100 | 0 1/2 1/2 } |
| a+1/2, b, c+1/2 | x, y, z | { 1 ‖ 1 | 1/2 0 1/2 } |
| a+1/2, -b, c+1/2 | x, y, z | { 1 ‖ m010 | 1/2 0 1/2 } |
| -a+1/2, -b, c+1/2 | -x, -y, -z | { -1 ‖ 2001 | 1/2 0 1/2 } |
| -a+1/2, b, c+1/2 | -x, -y, -z | { -1 ‖ m100 | 1/2 0 1/2 } |
| a+1/2, b+1/2, c | x, y, z | { 1 ‖ 1 | 1/2 1/2 0 } |
| a+1/2, -b+1/2, c | x, y, z | { 1 ‖ m010 | 1/2 1/2 0 } |
| -a+1/2, -b+1/2, c | -x, -y, -z | { -1 ‖ 2001 | 1/2 1/2 0 } |
| -a+1/2, b+1/2, c | -x, -y, -z | { -1 ‖ m100 | 1/2 1/2 0 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| a, -b, c | -x, y, z | { m ‖ m010 | 0 } |
| -a, -b, c | x, -y, -z | { 2 ‖ 2001 | 0 } |
| -a, b, c | x, -y, -z | { 2 ‖ m100 | 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 ‖ m010 | 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 ‖ m100 | 0 1/2 1/2 } |
| a+1/2, b, c+1/2 | -x, y, z | { m ‖ 1 | 1/2 0 1/2 } |
| a+1/2, -b, c+1/2 | -x, y, z | { m ‖ m010 | 1/2 0 1/2 } |
| -a+1/2, -b, c+1/2 | x, -y, -z | { 2 ‖ 2001 | 1/2 0 1/2 } |
| -a+1/2, b, c+1/2 | x, -y, -z | { 2 ‖ m100 | 1/2 0 1/2 } |
| a+1/2, b+1/2, c | -x, y, z | { m ‖ 1 | 1/2 1/2 0 } |
| a+1/2, -b+1/2, c | -x, y, z | { m ‖ m010 | 1/2 1/2 0 } |
| -a+1/2, -b+1/2, c | x, -y, -z | { 2 ‖ 2001 | 1/2 1/2 0 } |
| -a+1/2, b+1/2, c | x, -y, -z | { 2 ‖ m100 | 1/2 1/2 0 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 4a | $\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (0,0,c | 0,0,0) |
| 8b | $..\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ | (1/4,1/4,c | 0,0,0) |
| 8c | $\ce{^{-1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c | 0,0,0) |
| 8d | $.\ce{^{1}{m}}.\ce{^{\infty m}{1}} $ | (a,0,c | 0,0,z) |
| 16e | $\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:(1,0,0) | $\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ |
| Y:(0,1,0) | $\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ |
| Z:(0,0,1) | $\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{-1}{2}}\ce{^{\infty m}{1}} $ |
| L:(1/2,1/2,1/2) | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ |
| A:(u,0,1) | $\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| B:(0,v,1) | $\ce{^{2}{m}}\ce{^{m}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| Δ:(0,v,0) | $\ce{^{2}{m}}\ce{^{m}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| H:(0,1,w) | $\ce{^{2}{m}}\ce{^{1}{m}}\ce{^{2}{2}}\ce{^{\infty}{1}} $ |
| Λ:(0,0,w) | $\ce{^{2}{m}}\ce{^{1}{m}}\ce{^{2}{2}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{-1}{2}}\ce{^{\infty}{1}} $ |
| E:(0,v,w) | $\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| J:(u,0,w) | $\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| M:(u,v,0) | $\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) $ | |
| L:(1/2,1/2,1/2) | V:(1/2,1/2,0) | $2 (L)V_{1}^{S}(1)$ | Spin Splitting |
| T:(0,1,1) | M:(0,1,1/2) | $(T)M_{1}^{S}(2) $ | |
| Y:(0,1,0) | Y:(0,1,0) | $Y_{1}^{S}(2) $ | |
| Z:(0,0,1) | A:(0,0,1/2) | $(Z)A_{1}^{S}(2) $ | |
| A:(u,0,1) | B:(u,0,1/2-u/2) | $(A)B_{1}^{S}(2) $ | |
| B:(0,v,1) | U:(0,v,1/2) | $(B)U_{1}^{S}(2) $ | |
| Δ:(0,v,0) | Λ:(0,v,0) | $(Δ)Λ_{1}^{S}(2) $ | |
| H:(1,0,1+w) | B:(1,0,w/2) | $(H)B_{1}^{S}(2) $ | |
| Λ:(0,0,w) | B:(0,0,w/2) | $(Λ)B_{1}^{S}(2) $ | |
| Σ:(u,0,0) | B:(u,0,-u/2) | $(Σ)B_{1}^{S}(2) $ | |
| E:(0,v,w) | GP:(0,v,w/2) | $(E)GP_{1}^{S}(2) $ | |
| J:(u,0,w) | B:(u,0,-u/2+w/2) | $2(J)B_{1}^{S}(1)$ | Spin Splitting |
| M:(u,v,0) | GP:(u,v,-u/2) | $(M)GP_{1}^{S}(2) $ | |
| GP:(u,v,w) | GP:(u,v,-u/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) $ | |
| L:(1/2,1/2,1/2) | V:(1/2,1/2,0) | $4(L)V_{1}^{S}(1)$ | Spin Splitting |
| T:(0,1,1) | M:(0,1,1/2) | $(T)M_{1}^{S}(2)⊕(T)M_{2}^{S}(2) $ | |
| Y:(0,1,0) | Y:(0,1,0) | $Y_{1}^{S}(2)⊕Y_{2}^{S}(2) $ | |
| Z:(0,0,1) | A:(0,0,1/2) | $(Z)A_{1}^{S}(2)⊕(Z)A_{2}^{S}(2) $ | |
| A:(u,0,1) | B:(u,0,1/2-u/2) | $(A)B_{1}^{S}(2)⊕(A)B_{2}^{S}(2) $ | |
| B:(0,v,1) | U:(0,v,1/2) | $2(B)U_{1}^{S}(2) $ | |
| Δ:(0,v,0) | Λ:(0,v,0) | $2(Δ)Λ_{1}^{S}(2) $ | |
| H:(1,0,1+w) | B:(1,0,w/2) | $(H)B_{1}^{S}(2)⊕(H)B_{2}^{S}(2) $ | |
| Λ:(0,0,w) | B:(0,0,w/2) | $(Λ)B_{1}^{S}(2)⊕(Λ)B_{2}^{S}(2) $ | |
| Σ:(u,0,0) | B:(u,0,-u/2) | $(Σ)B_{1}^{S}(2)⊕(Σ)B_{2}^{S}(2) $ | |
| E:(0,v,w) | GP:(0,v,w/2) | $2 (E)GP_{1}^{S}(2) $ | |
| J:(u,0,w) | B:(u,0,-u/2+w/2) | $2(J)B_{1}^{S}(1)⊕2(J)B_{2}^{S}(1)$ | Spin Splitting |
| M:(u,v,0) | GP:(u,v,-u/2) | $2(M)GP_{1}^{S}(2) $ | |
| GP:(u,v,w) | GP:(u,v,-u/2+w/2) | $4GP_{1}^{S}(1)$ | Spin Splitting |