The continuously infinite group ∞1 is omitted.
| Coordinates | Seitz symbol |
|---|---|
| a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
| -a, -b+1/2, c | x, y, z | { 1 ‖ 2001 | 0 1/2 0 } |
| -a, -b, -c | x, y, z | { 1 ‖ -1 | 0 } |
| a, b+1/2, -c | x, y, z | { 1 ‖ m001 | 0 1/2 0 } |
| a, -b, -c | -x, -y, -z | { -1 ‖ 2100 | 0 } |
| -a, b+1/2, -c | -x, -y, -z | { -1 ‖ 2010 | 0 1/2 0 } |
| -a, b, c | -x, -y, -z | { -1 ‖ m100 | 0 } |
| a, -b+1/2, c | -x, -y, -z | { -1 ‖ m010 | 0 1/2 0 } |
| a+1/2, b+1/2, c+1/2 | x, y, z | { 1 ‖ 1 | 1/2 1/2 1/2 } |
| -a+1/2, -b, c+1/2 | x, y, z | { 1 ‖ 2001 | 1/2 0 1/2 } |
| -a+1/2, -b+1/2, -c+1/2 | x, y, z | { 1 ‖ -1 | 1/2 1/2 1/2 } |
| a+1/2, b, -c+1/2 | x, y, z | { 1 ‖ m001 | 1/2 0 1/2 } |
| a+1/2, -b+1/2, -c+1/2 | -x, -y, -z | { -1 ‖ 2100 | 1/2 1/2 1/2 } |
| -a+1/2, b, -c+1/2 | -x, -y, -z | { -1 ‖ 2010 | 1/2 0 1/2 } |
| -a+1/2, b+1/2, c+1/2 | -x, -y, -z | { -1 ‖ m100 | 1/2 1/2 1/2 } |
| a+1/2, -b, c+1/2 | -x, -y, -z | { -1 ‖ m010 | 1/2 0 1/2 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, -b+1/2, c | -x, y, z | { m ‖ 2001 | 0 1/2 0 } |
| -a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
| a, b+1/2, -c | -x, y, z | { m ‖ m001 | 0 1/2 0 } |
| a, -b, -c | x, -y, -z | { 2 ‖ 2100 | 0 } |
| -a, b+1/2, -c | x, -y, -z | { 2 ‖ 2010 | 0 1/2 0 } |
| -a, b, c | x, -y, -z | { 2 ‖ m100 | 0 } |
| a, -b+1/2, c | x, -y, -z | { 2 ‖ m010 | 0 1/2 0 } |
| a+1/2, b+1/2, c+1/2 | -x, y, z | { m ‖ 1 | 1/2 1/2 1/2 } |
| -a+1/2, -b, c+1/2 | -x, y, z | { m ‖ 2001 | 1/2 0 1/2 } |
| -a+1/2, -b+1/2, -c+1/2 | -x, y, z | { m ‖ -1 | 1/2 1/2 1/2 } |
| a+1/2, b, -c+1/2 | -x, y, z | { m ‖ m001 | 1/2 0 1/2 } |
| a+1/2, -b+1/2, -c+1/2 | x, -y, -z | { 2 ‖ 2100 | 1/2 1/2 1/2 } |
| -a+1/2, b, -c+1/2 | x, -y, -z | { 2 ‖ 2010 | 1/2 0 1/2 } |
| -a+1/2, b+1/2, c+1/2 | x, -y, -z | { 2 ‖ m100 | 1/2 1/2 1/2 } |
| a+1/2, -b, c+1/2 | x, -y, -z | { 2 ‖ m010 | 1/2 0 1/2 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 4a | $\ce{^{-1}{2}}/\ce{^{-1}{m}}..\ce{^{\infty m}{1}} $ | (0,0,0 | 0,0,0) |
| 4b | $\ce{^{-1}{2}}/\ce{^{-1}{m}}..\ce{^{\infty m}{1}} $ | (0,0,1/2 | 0,0,0) |
| 4c | $.\ce{^{-1}{2}}/\ce{^{-1}{m}}.\ce{^{\infty m}{1}} $ | (1/4,1/4,1/4 | 0,0,0) |
| 4d | $.\ce{^{-1}{2}}/\ce{^{-1}{m}}.\ce{^{\infty m}{1}} $ | (1/4,1/4,3/4 | 0,0,0) |
| 4e | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,1/4,c | 0,0,0) |
| 8f | $\ce{^{-1}{2}}..\ce{^{\infty m}{1}} $ | (a,0,0 | 0,0,0) |
| 8g | $.\ce{^{-1}{2}}.\ce{^{\infty m}{1}} $ | (1/4,b,1/4 | 0,0,0) |
| 8h | $\ce{^{-1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c | 0,0,0) |
| 8i | $.\ce{^{-1}{m}}.\ce{^{\infty m}{1}} $ | (a,1/4,c | 0,0,0) |
| 16j | $\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}{m}}\ce{^{\infty m}{1}} $ |
| X:(1,1,1) | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| R:(1/2,0,1/2) | $\ce{^{2}{2/}}\ce{^{2}{m}}\ce{^{\infty m}{1}} $ |
| S:(0,1/2,1/2) | $\ce{^{2}{2/}}\ce{^{2}{m}}\ce{^{\infty m}{1}} $ |
| T:(1/2,1/2,0) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| W:(1/2,1/2,1/2) | $\ce{^{-1}{m}}\ce{^{-1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
| Δ:(0,v,0) | $ \ce{^{2}{m}}\ce{^{-1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| Λ:(0,0,w) | $\ce{^{2}{m}}\ce{^{2}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
| Σ:(u,0,0) | $\ce{^{-1}{m}}\ce{^{2}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| A:(0,v,w) | $\ce{^{-1}{2/}}\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| B:(u,0,w) | $\ce{^{-1}{2/}}\ce{^{2}{m}}\ce{^{\infty}{1}} $ |
| C:(u,v,0) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| D:(u,1/2,1/2) | $\ce{^{2}{2/}}\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| P:(1/2,1/2,w) | $\ce{^{1}{2/}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
| Q:(1/2,v,1/2) | $\ce{^{2}{2/}}\ce{^{-1}{m}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{m}{-1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | k-vector-G↑ | A↑G(8) | |
| Γ:(0,0,0) | Γ:(0,0,0) | $Γ_{1}^{S,+}(2)⊕Γ_{1}^{S,-}(2)⊕Γ_{2}^{S,+}(2)⊕Γ_{2}^{S,-}(2) $ | |
| R:(1/2,0,1/2) | V:(1/2,1/2,0) | $2(R)V_{1}^{S,+}(2)⊕2(R)V_{1}^{S,-}(2) $ | |
| S:(1,-1/2,1/2) | L:(1/2,1/2,1/2) | $2(S)L_{1}^{S,+}(2)⊕2(S)L_{1}^{S,-}(2) $ | |
| T:(1/2,-1/2,1) | M:(0,1,1/2) | $4(T)M_{1}^{S}(2)$ | Spin Splitting |
| W:(1/2,-1/2,3/2) | U:(0,3/2,1/2) | $2(W)U_{1}^{S}U_{2}^{S}(4) $ | |
| X:(0,0,1) | Y:(0,1,0) | $(X)Y_{1}^{S,+}(2)⊕(X)Y_{1}^{S,-}(2)⊕(X)Y_{2}^{S,+}(2)⊕(X)Y_{2}^{S,-}(2) $ | |
| D:(u,1/2,1/2) | GP:(1/2+u,1/2,-1/2) | $4(D)GP_{1}^{S}(2) $ | |
| Δ:(0,v,0) | B:(v,0,-v) | $2(Δ)B_{1}^{S}(2)⊕2(Δ)B_{2}^{S}(2) $ | |
| Λ:(0,0,w) | Λ:(0,w,0) | $2Λ_{1}^{S}(2)⊕2Λ_{2}^{S}(2) $ | |
| P:(1/2,-1/2,1+w) | U:(0,1+w,1/2) | $4(P)U_{1}^{S}U_{2}^{S}(2)$ | Spin Splitting |
| Q:(1/2,v,1/2) | GP:(1/2+v,1/2,-v) | $4(Q)GP_{1}^{S}(2) $ | |
| Σ:(u,0,0) | B:(u,0,0) | $2(Σ)B_{1}^{S}(2)⊕2(Σ)B_{2}^{S}(2) $ | |
| A:(0,v,w) | GP:(v,w,-v) | $4(A)GP_{1}^{S}(2) $ | |
| B:(u,0,w) | GP:(u,w,0) | $4(B)GP_{1}^{S}(2) $ | |
| C:(u,v,0) | B:(u+v,0,-v) | $4(C)B_{1}^{S}(1)⊕4(C)B_{2}^{S}(1)$ | Spin Splitting |
| GP:(u,v,w) | GP:(u+v,w,-v) | $8GP_{1}^{S}(1)$ | Spin Splitting |