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 ‖ -1 | 0 } |
| a, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 1a | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
| 1b | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (0,0,1/2 |0,0,z) |
| 1c | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (0,1/2,0 |0,0,z) |
| 1d | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (1/2,0,0 |0,0,z) |
| 1e | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (1/2,1/2,0 |0,0,z) |
| 1f | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (1/2,0,1/2 |0,0,z) |
| 1g | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (0,1/2,1/2 |0,0,z) |
| 1h | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (1/2,1/2,1/2 |0,0,z) |
| 2i | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c |0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| Γ:(0,0,0) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| R:(1/2,1/2,1/2) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| T:(0,1/2,1/2) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| U:(1/2,0,1/2) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| V:(1/2,1/2,0) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| X:(1/2,0,0) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| Y:(0,1/2,0) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| Z:(0,0,1/2) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| GP:(u,v,w) | $\ce{^{m}{-1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,+}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,+}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,-}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,-}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,-}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,+}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,-}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,-}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,+}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,-}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,-}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,-}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,-}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,-}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,-}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,+}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,-}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,-}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,-}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,+}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,-}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,-}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,-}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,+}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,+}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,-}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,-}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,-}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | A↑G(2) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{1}^{S,-}(1) $ |
| T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{1}^{S,-}(1) $ |
| U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1)⊕V_{1}^{S,-}(1) $ |
| X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{1}^{S,-}(1) $ |
| Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{1}^{S,-}(1) $ |
| Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{1}^{S,-}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |