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 ‖ 2010 | 0 } |
| -a, -b, -c | x, y, z | { 1 ‖ -1 | 0 } |
| a, -b, c | x, y, z | { 1 ‖ m010 | 0 } |
| 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 ‖ 2010 | 1/2 1/2 0 } |
| -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, b, c | -x, y, z | { m ‖ 1 | 0 } |
| -a, b, -c | -x, y, z | { m ‖ 2010 | 0 } |
| -a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
| a, -b, c | -x, y, z | { m ‖ m010 | 0 } |
| 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 ‖ 2010 | 1/2 1/2 0 } |
| -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 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 2a | $\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
| 2b | $\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,1/2,0 |0,0,z) |
| 2c | $\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,1/2 |0,0,z) |
| 2d | $\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,1/2,1/2 |0,0,z) |
| 4e | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (1/4,1/4,0 |0,0,z) |
| 4f | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ | (1/4,1/4,1/2 |0,0,z) |
| 4g | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,b,0 |0,0,z) |
| 4h | $\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,b,1/2 |0,0,z) |
| 4i | $\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,c |0,0,z) |
| 8j | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c |0,0,z) |
| Wavevector-k | Little co-group |
|---|---|
| A:(0,0,1/2) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| Γ:(0,0,0) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| M:(0,1,1/2) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| Y:(0,1,0) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| L:(1/2,1/2,1/2) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| V:(1/2,1/2,0) | $\ce{^{1}{-1}}\ce{^{\infty m}{1}} $ |
| B:(u,0,w) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| Λ:(0,v,0) | $\ce{^{1}{2/}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
| U:(0,v,1/2) | $\ce{^{1}{2/}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
| GP:(u,v,w) | $\ce{^{m}{-1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
| k-vector | Ag↑G(1) |
| A:(0,0,1/2) | $A_{1}^{S,+}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,+}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1) $ |
| U:(0,v,1/2) | $U_{1}^{S}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| A:(0,0,1/2) | $A_{1}^{S,+}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,+}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1) $ |
| U:(0,v,1/2) | $U_{1}^{S}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| A:(0,0,1/2) | $A_{2}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| M:(0,1,1/2) | $M_{2}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1) $ |
| U:(0,v,1/2) | $U_{2}^{S}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(1) |
| A:(0,0,1/2) | $A_{2}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
| M:(0,1,1/2) | $M_{2}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1) $ |
| U:(0,v,1/2) | $U_{2}^{S}(1) $ |
| GP:(u,v,w) | $GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(2) |
| A:(0,0,1/2) | $A_{1}^{S,+}(1)⊕A_{2}^{S,+}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,-}(1)⊕M_{2}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,-}(1)⊕Y_{2}^{S,-}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1)⊕V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
| U:(0,v,1/2) | $U_{1}^{S}(1)⊕U_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(2) |
| A:(0,0,1/2) | $A_{1}^{S,-}(1)⊕A_{2}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,-}(1)⊕Y_{2}^{S,-}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1)⊕V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
| U:(0,v,1/2) | $U_{1}^{S}(1)⊕U_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A↑G(2) |
| A:(0,0,1/2) | $A_{1}^{S,+}(1)⊕A_{1}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1)⊕Y_{1}^{S,-}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1)⊕V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Λ:(0,v,0) | $2Λ_{1}^{S}(1) $ |
| U:(0,v,1/2) | $2U_{1}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A↑G(2) |
| A:(0,0,1/2) | $A_{2}^{S,+}(1)⊕A_{2}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1) $ |
| M:(0,1,1/2) | $M_{2}^{S,+}(1)⊕M_{2}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1)⊕Y_{1}^{S,-}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1)⊕V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| Λ:(0,v,0) | $2Λ_{1}^{S}(1) $ |
| U:(0,v,1/2) | $2U_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A'↑G(2) |
| A:(0,0,1/2) | $A_{1}^{S,+}(1)⊕A_{2}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,+}(1)⊕M_{2}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1) $ |
| L:(1/2,1/2,1/2) | $L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $V_{1}^{S,+}(1)⊕V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $2B_{1}^{S}(1) $ |
| Λ:(0,v,0) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
| U:(0,v,1/2) | $U_{1}^{S}(1)⊕U_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | A↑G(4) |
| A:(0,0,1/2) | $A_{1}^{S,+}(1)⊕A_{1}^{S,-}(1)⊕A_{2}^{S,+}(1)⊕A_{2}^{S,-}(1) $ |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
| M:(0,1,1/2) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕M_{2}^{S,-}(1) $ |
| Y:(0,1,0) | $Y_{1}^{S,+}(1)⊕Y_{1}^{S,-}(1)⊕Y_{2}^{S,+}(1)⊕Y_{2}^{S,-}(1) $ |
| L:(1/2,1/2,1/2) | $2L_{1}^{S,+}(1)⊕2L_{1}^{S,-}(1) $ |
| V:(1/2,1/2,0) | $2V_{1}^{S,+}(1)⊕2V_{1}^{S,-}(1) $ |
| B:(u,0,w) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1) $ |
| Λ:(0,v,0) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1) $ |
| U:(0,v,1/2) | $2U_{1}^{S}(1)⊕2U_{2}^{S}(1) $ |
| GP:(u,v,w) | $4GP_{1}^{S}(1) $ |