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