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 ‖ 2100 | 0 } |
-a, b, -c | x, y, z | { 1 ‖ 2010 | 0 } |
-a, -b, c | x, y, z | { 1 ‖ 2001 | 0 } |
-a, -b, -c | x, y, z | { 1 ‖ -1 | 0 } |
-a, b, c | x, y, z | { 1 ‖ m100 | 0 } |
a, -b, c | x, y, z | { 1 ‖ m010 | 0 } |
a, b, -c | x, y, z | { 1 ‖ m001 | 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 ‖ 2100 | 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 ‖ 2001 | 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 ‖ m100 | 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 ‖ m001 | 1/2 1/2 0 } |
a, b, c | -x, y, z | { m ‖ 1 | 0 } |
a, -b, -c | -x, y, z | { m ‖ 2100 | 0 } |
-a, b, -c | -x, y, z | { m ‖ 2010 | 0 } |
-a, -b, c | -x, y, z | { m ‖ 2001 | 0 } |
-a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
-a, b, c | -x, y, z | { m ‖ m100 | 0 } |
a, -b, c | -x, y, z | { m ‖ m010 | 0 } |
a, b, -c | -x, y, z | { m ‖ m001 | 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 ‖ 2100 | 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 ‖ 2001 | 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 ‖ m100 | 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 | { m ‖ m001 | 1/2 1/2 0 } |
WP | Site symmetry | Representative |
---|---|---|
2a | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
2b | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,0 |0,0,z) |
2c | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,1/2 |0,0,z) |
2d | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,1/2 |0,0,z) |
4e | $..\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/4,1/4,0 |0,0,z) |
4f | $..\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/4,1/4,1/2 |0,0,z) |
4g | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,0 |0,0,z) |
4h | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,1/2 |0,0,z) |
4i | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,b,0 |0,0,z) |
4j | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,b,1/2 |0,0,z) |
4k | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,0,c |0,0,z) |
4l | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,1/2,c |0,0,z) |
8m | $..\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/4,1/4,c |0,0,z) |
8n | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c |0,0,z) |
8o | $.\ce{^{1}{m}}.\ce{^{\infty m}{1}} $ | (a,0,c |0,0,z) |
8p | $..\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,b,0 |0,0,z) |
8q | $..\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,b,1/2 |0,0,z) |
16r | $\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}} $ |
T:(1,0,1/2) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
Y:(1,0,0) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
Z:(0,0,1/2) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
R:(1/2,1/2,1/2) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
S:(1/2,1/2,0) | $\ce{^{1}{2/}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
A:(u,0,1/2) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
B:(0,v,1/2) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Δ:(0,v,0) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
H:(1,0,w) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
Λ:(0,0,w) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
Σ:(u,0,0) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
D:(1/2,1/2,w) | $\ce{^{1}{2/}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
K:(0,v,w) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
M:(u,0,w) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
P:(u,v,0) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Q:(u,v,1/2) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{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) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
P:(u,v,0) | $P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $Q_{1}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{2}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
P:(u,v,0) | $P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $Q_{1}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
T:(1,0,1/2) | $T_{2}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{2}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
P:(u,v,0) | $P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $Q_{2}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
T:(1,0,1/2) | $T_{2}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
P:(u,v,0) | $P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $Q_{2}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1) $ |
T:(1,0,1/2) | $T_{3}^{S,-}(1)⊕T_{4}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{3}^{S,-}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
H:(1,0,w) | $H_{3}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | Ag↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1) $ |
T:(1,0,1/2) | $T_{3}^{S,+}(1)⊕T_{4}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{3}^{S,-}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,-}(1)⊕Z_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{2}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{2}^{S}(1)⊕B_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
H:(1,0,w) | $H_{3}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{3}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{3}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{3}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{2}^{S,-}(1)⊕T_{4}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{3}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1)⊕Z_{4}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{2}^{S}(1)⊕B_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{2}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $2B_{3}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{1}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{1}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
H:(1,0,w) | $2H_{1}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{1}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
P:(u,v,0) | $P_{1}^{S}(1)⊕P_{2}^{S}(1) $ |
Q:(u,v,1/2) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
H:(1,0,w) | $2H_{1}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
P:(u,v,0) | $P_{1}^{S}(1)⊕P_{2}^{S}(1) $ |
Q:(u,v,1/2) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{3}^{S,+}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{3}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{1}^{S,-}(1)⊕Z_{2}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{2}^{S}(1)⊕A_{3}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{2}^{S}(1)⊕B_{3}^{S}(1)⊕B_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1) $ |
H:(1,0,w) | $2H_{3}^{S}(1)⊕2H_{4}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{1}^{S}(1)⊕2Q_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{2}^{S}(1)⊕A_{3}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{3}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1) $ |
H:(1,0,w) | $2H_{1}^{S}(1)⊕2H_{3}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
K:(0,v,w) | $4K_{1}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{1}^{S}(1)⊕2Q_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{2}^{S}(1)⊕B_{3}^{S}(1)⊕B_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1) $ |
H:(1,0,w) | $2H_{1}^{S}(1)⊕2H_{4}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{3}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
M:(u,0,w) | $4M_{1}^{S}(1) $ |
P:(u,v,0) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1) $ |
Q:(u,v,1/2) | $2Q_{1}^{S}(1)⊕2Q_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,+}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,+}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $2R_{1}^{S,+}(1)⊕2R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $2S_{1}^{S,+}(1)⊕2S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1)⊕H_{2}^{S}(1)⊕H_{3}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
P:(u,v,0) | $4P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $4Q_{1}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,-}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{4}^{S,+}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,-}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{4}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $2R_{1}^{S,-}(1)⊕2R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $2S_{1}^{S,+}(1)⊕2S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{2}^{S}(1)⊕2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $2B_{2}^{S}(1)⊕2B_{3}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
H:(1,0,w) | $H_{1}^{S}(1)⊕H_{2}^{S}(1)⊕H_{3}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
P:(u,v,0) | $4P_{1}^{S}(1) $ |
Q:(u,v,1/2) | $4Q_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A↑G(8) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
T:(1,0,1/2) | $T_{1}^{S,+}(1)⊕T_{1}^{S,-}(1)⊕T_{2}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
Y:(1,0,0) | $Y_{1}^{S,+}(1)⊕Y_{1}^{S,-}(1)⊕Y_{2}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{1}^{S,-}(1)⊕Z_{2}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $2R_{1}^{S,+}(1)⊕2R_{1}^{S,-}(1)⊕2R_{2}^{S,+}(1)⊕2R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $2S_{1}^{S,+}(1)⊕2S_{1}^{S,-}(1)⊕2S_{2}^{S,+}(1)⊕2S_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{2}^{S}(1)⊕2A_{3}^{S}(1)⊕2A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1)⊕2B_{3}^{S}(1)⊕2B_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
H:(1,0,w) | $2H_{1}^{S}(1)⊕2H_{2}^{S}(1)⊕2H_{3}^{S}(1)⊕2H_{4}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕2Σ_{3}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
D:(1/2,1/2,w) | $4D_{1}^{S}(1)⊕4D_{2}^{S}(1) $ |
K:(0,v,w) | $4K_{1}^{S}(1)⊕4K_{2}^{S}(1) $ |
M:(u,0,w) | $4M_{1}^{S}(1)⊕4M_{2}^{S}(1) $ |
P:(u,v,0) | $4P_{1}^{S}(1)⊕4P_{2}^{S}(1) $ |
Q:(u,v,1/2) | $4Q_{1}^{S}(1)⊕4Q_{2}^{S}(1) $ |
GP:(u,v,w) | $8GP_{1}^{S}(1) $ |