The continuously infinite group ∞1 is omitted.
Coordinates | Seitz symbol |
---|---|
a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
a-b, a, c+1/2 | x, y, z | { 1 ‖ 6+001 | 0 0 1/2 } |
-b, a-b, c | x, y, z | { 1 ‖ 3+001 | 0 } |
-a, -b, c+1/2 | x, y, z | { 1 ‖ 2001 | 0 0 1/2 } |
-a+b, -a, c | x, y, z | { 1 ‖ 3-001 | 0 } |
b, -a+b, c+1/2 | x, y, z | { 1 ‖ 6-001 | 0 0 1/2 } |
a-b, -b, -c+1/2 | x, y, z | { 1 ‖ 2100 | 0 0 1/2 } |
b, a, -c+1/2 | x, y, z | { 1 ‖ 2110 | 0 0 1/2 } |
-a, -a+b, -c+1/2 | x, y, z | { 1 ‖ 2010 | 0 0 1/2 } |
a, a-b, -c | x, y, z | { 1 ‖ 2210 | 0 } |
-a+b, b, -c | x, y, z | { 1 ‖ 2120 | 0 } |
-b, -a, -c | x, y, z | { 1 ‖ 21-10 | 0 } |
-a, -b, -c | x, y, z | { 1 ‖ -1 | 0 } |
-a+b, -a, -c+1/2 | x, y, z | { 1 ‖ -6+001 | 0 0 1/2 } |
b, -a+b, -c | x, y, z | { 1 ‖ -3+001 | 0 } |
a, b, -c+1/2 | x, y, z | { 1 ‖ m001 | 0 0 1/2 } |
a-b, a, -c | x, y, z | { 1 ‖ -3-001 | 0 } |
-b, a-b, -c+1/2 | x, y, z | { 1 ‖ -6-001 | 0 0 1/2 } |
-a+b, b, c+1/2 | x, y, z | { 1 ‖ m100 | 0 0 1/2 } |
-b, -a, c+1/2 | x, y, z | { 1 ‖ m110 | 0 0 1/2 } |
a, a-b, c+1/2 | x, y, z | { 1 ‖ m010 | 0 0 1/2 } |
-a, -a+b, c | x, y, z | { 1 ‖ m210 | 0 } |
a-b, -b, c | x, y, z | { 1 ‖ m120 | 0 } |
b, a, c | x, y, z | { 1 ‖ m1-10 | 0 } |
a, b, c | -x, y, z | { m ‖ 1 | 0 } |
a-b, a, c+1/2 | -x, y, z | { m ‖ 6+001 | 0 0 1/2 } |
-b, a-b, c | -x, y, z | { m ‖ 3+001 | 0 } |
-a, -b, c+1/2 | -x, y, z | { m ‖ 2001 | 0 0 1/2 } |
-a+b, -a, c | -x, y, z | { m ‖ 3-001 | 0 } |
b, -a+b, c+1/2 | -x, y, z | { m ‖ 6-001 | 0 0 1/2 } |
a-b, -b, -c+1/2 | -x, y, z | { m ‖ 2100 | 0 0 1/2 } |
b, a, -c+1/2 | -x, y, z | { m ‖ 2110 | 0 0 1/2 } |
-a, -a+b, -c+1/2 | -x, y, z | { m ‖ 2010 | 0 0 1/2 } |
a, a-b, -c | -x, y, z | { m ‖ 2210 | 0 } |
-a+b, b, -c | -x, y, z | { m ‖ 2120 | 0 } |
-b, -a, -c | -x, y, z | { m ‖ 21-10 | 0 } |
-a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
-a+b, -a, -c+1/2 | -x, y, z | { m ‖ -6+001 | 0 0 1/2 } |
b, -a+b, -c | -x, y, z | { m ‖ -3+001 | 0 } |
a, b, -c+1/2 | -x, y, z | { m ‖ m001 | 0 0 1/2 } |
a-b, a, -c | -x, y, z | { m ‖ -3-001 | 0 } |
-b, a-b, -c+1/2 | -x, y, z | { m ‖ -6-001 | 0 0 1/2 } |
-a+b, b, c+1/2 | -x, y, z | { m ‖ m100 | 0 0 1/2 } |
-b, -a, c+1/2 | -x, y, z | { m ‖ m110 | 0 0 1/2 } |
a, a-b, c+1/2 | -x, y, z | { m ‖ m010 | 0 0 1/2 } |
-a, -a+b, c | -x, y, z | { m ‖ m210 | 0 } |
a-b, -b, c | -x, y, z | { m ‖ m120 | 0 } |
b, a, c | -x, y, z | { m ‖ m1-10 | 0 } |
WP | Site symmetry | Representative |
---|---|---|
2a | $\ce{^{1}{-6}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,1/4 |0,0,z) |
2b | $\ce{^{1}{-3}}.\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
4c | $\ce{^{1}{-6}}..\ce{^{\infty m}{1}} $ | (1/3,2/3,1/4 |0,0,z) |
4d | $\ce{^{1}{3}}.\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/3,2/3,0 |0,0,z) |
4e | $\ce{^{1}{3}}.\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,c |0,0,z) |
6f | $..\ce{^{1}{2}}/\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,0 |0,0,z) |
6g | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,1/4 |0,0,z) |
8h | $\ce{^{1}{3}}..\ce{^{\infty m}{1}} $ | (1/3,2/3,c |0,0,z) |
12i | $..\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (a,2a,0 |0,0,z) |
12j | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (a,b,1/4 |0,0,z) |
12k | $..\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,c |0,0,z) |
24l | $\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}{6/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
Γ:(0,0,0) | $\ce{^{1}{6/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
H:(1/3,1/3,1/2) | $\ce{^{m}{6/}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
K:(1/3,1/3,0) | $\ce{^{m}{6/}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
L:(1/2,0,1/2) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
M:(1/2,0,0) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
Δ:(0,0,w) | $\ce{^{1}{6/}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
P:(1/3,1/3,w) | $\ce{^{m}{-3}}\ce{^{1}{1}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Λ:(u,u,0) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Σ:(u,0,0) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Q:(u,u,1/2) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
R:(u,0,1/2) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
U:(1/2,0,w) | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
B:(u,v,0) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
C:(u,u,w) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
D:(u,0,w) | $\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
E:(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 | A1'↑G(2) |
A:(0,0,1/2) | $A_{1}^{S}(2) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
H:(1/3,1/3,1/2) | $H_{1}^{S}H_{3}^{S}(2) $ |
K:(1/3,1/3,0) | $2K_{1}^{S}(1) $ |
L:(1/2,0,1/2) | $L_{1}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{3}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
P:(1/3,1/3,w) | $2P_{1}^{S}(1) $ |
Λ:(u,u,0) | $2Λ_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
Q:(u,u,1/2) | $Q_{1}^{S}Q_{3}^{S}(2) $ |
R:(u,0,1/2) | $R_{1}^{S}(2) $ |
U:(1/2,0,w) | $U_{1}^{S}(1)⊕U_{3}^{S}(1) $ |
B:(u,v,0) | $2B_{1}^{S}(1) $ |
C:(u,u,w) | $2C_{1}^{S}(1) $ |
D:(u,0,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
E:(u,v,1/2) | $E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1g↑G(2) |
A:(0,0,1/2) | $A_{1}^{S}(2) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,+}(1) $ |
H:(1/3,1/3,1/2) | $H_{1}^{S}H_{3}^{S}(2) $ |
K:(1/3,1/3,0) | $K_{1}^{S}(1)⊕K_{3}^{S}(1) $ |
L:(1/2,0,1/2) | $L_{1}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{4}^{S,+}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
P:(1/3,1/3,w) | $2P_{1}^{S}(1) $ |
Λ:(u,u,0) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
Q:(u,u,1/2) | $Q_{1}^{S}Q_{3}^{S}(2) $ |
R:(u,0,1/2) | $R_{1}^{S}(2) $ |
U:(1/2,0,w) | $U_{1}^{S}(1)⊕U_{3}^{S}(1) $ |
B:(u,v,0) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
C:(u,u,w) | $2C_{1}^{S}(1) $ |
D:(u,0,w) | $D_{1}^{S}(1)⊕D_{2}^{S}(1) $ |
E:(u,v,1/2) | $E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{2}^{S}(2) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1) $ |
H:(1/3,1/3,1/2) | $H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $2K_{5}^{S}(2) $ |
L:(1/2,0,1/2) | $L_{1}^{S}(2)⊕L_{2}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1) $ |
P:(1/3,1/3,w) | $2P_{3}^{S}(2) $ |
Λ:(u,u,0) | $2Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1) $ |
Q:(u,u,1/2) | $Q_{1}^{S}Q_{3}^{S}(2)⊕Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $2R_{1}^{S}(2) $ |
U:(1/2,0,w) | $U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕U_{3}^{S}(1)⊕U_{4}^{S}(1) $ |
B:(u,v,0) | $4B_{1}^{S}(1) $ |
C:(u,u,w) | $2C_{1}^{S}(1)⊕2C_{2}^{S}(1) $ |
D:(u,0,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
E:(u,v,1/2) | $2E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A1↑G(4) |
A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{2}^{S}(2) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
H:(1/3,1/3,1/2) | $H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $K_{5}^{S}(2)⊕K_{6}^{S}(2) $ |
L:(1/2,0,1/2) | $L_{1}^{S}(2)⊕L_{2}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1) $ |
P:(1/3,1/3,w) | $2P_{3}^{S}(2) $ |
Λ:(u,u,0) | $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) $ |
Q:(u,u,1/2) | $Q_{1}^{S}Q_{3}^{S}(2)⊕Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $2R_{1}^{S}(2) $ |
U:(1/2,0,w) | $U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕U_{3}^{S}(1)⊕U_{4}^{S}(1) $ |
B:(u,v,0) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1) $ |
C:(u,u,w) | $2C_{1}^{S}(1)⊕2C_{2}^{S}(1) $ |
D:(u,0,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
E:(u,v,1/2) | $2E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A1↑G(4) |
A:(0,0,1/2) | $2A_{1}^{S}(2) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1) $ |
H:(1/3,1/3,1/2) | $2H_{1}^{S}H_{3}^{S}(2) $ |
K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{3}^{S}(1) $ |
L:(1/2,0,1/2) | $2L_{1}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1) $ |
Δ:(0,0,w) | $2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1) $ |
P:(1/3,1/3,w) | $4P_{1}^{S}(1) $ |
Λ:(u,u,0) | $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) $ |
Q:(u,u,1/2) | $2Q_{1}^{S}Q_{3}^{S}(2) $ |
R:(u,0,1/2) | $2R_{1}^{S}(2) $ |
U:(1/2,0,w) | $2U_{1}^{S}(1)⊕2U_{3}^{S}(1) $ |
B:(u,v,0) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1) $ |
C:(u,u,w) | $4C_{1}^{S}(1) $ |
D:(u,0,w) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1) $ |
E:(u,v,1/2) | $2E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | Ag↑G(6) |
A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{3}^{S}(4) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{6}^{S,+}(2) $ |
H:(1/3,1/3,1/2) | $H_{1}^{S}H_{3}^{S}(2)⊕H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $K_{1}^{S}(1)⊕K_{3}^{S}(1)⊕K_{5}^{S}(2)⊕K_{6}^{S}(2) $ |
L:(1/2,0,1/2) | $2L_{1}^{S}(2)⊕L_{2}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{5}^{S}(2)⊕Δ_{6}^{S}(2) $ |
P:(1/3,1/3,w) | $2P_{1}^{S}(1)⊕2P_{3}^{S}(2) $ |
Λ:(u,u,0) | $2Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
Q:(u,u,1/2) | $2Q_{1}^{S}Q_{3}^{S}(2)⊕Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $3R_{1}^{S}(2) $ |
U:(1/2,0,w) | $2U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕2U_{3}^{S}(1)⊕U_{4}^{S}(1) $ |
B:(u,v,0) | $3B_{1}^{S}(1)⊕3B_{2}^{S}(1) $ |
C:(u,u,w) | $4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $ |
D:(u,0,w) | $3D_{1}^{S}(1)⊕3D_{2}^{S}(1) $ |
E:(u,v,1/2) | $3E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $6GP_{1}^{S}(1) $ |
k-vector | A1↑G(6) |
A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{3}^{S}(4) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $ |
H:(1/3,1/3,1/2) | $H_{1}^{S}H_{3}^{S}(2)⊕H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{5}^{S}(2) $ |
L:(1/2,0,1/2) | $2L_{1}^{S}(2)⊕L_{2}^{S}(2) $ |
M:(1/2,0,0) | $2M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{5}^{S}(2)⊕Δ_{6}^{S}(2) $ |
P:(1/3,1/3,w) | $2P_{1}^{S}(1)⊕2P_{3}^{S}(2) $ |
Λ:(u,u,0) | $4Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1) $ |
Q:(u,u,1/2) | $2Q_{1}^{S}Q_{3}^{S}(2)⊕Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $3R_{1}^{S}(2) $ |
U:(1/2,0,w) | $2U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕2U_{3}^{S}(1)⊕U_{4}^{S}(1) $ |
B:(u,v,0) | $6B_{1}^{S}(1) $ |
C:(u,u,w) | $4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $ |
D:(u,0,w) | $3D_{1}^{S}(1)⊕3D_{2}^{S}(1) $ |
E:(u,v,1/2) | $3E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $6GP_{1}^{S}(1) $ |
k-vector | A1↑G(8) |
A:(0,0,1/2) | $2A_{1}^{S}(2)⊕2A_{2}^{S}(2) $ |
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) $ |
H:(1/3,1/3,1/2) | $2H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $2K_{5}^{S}(2)⊕2K_{6}^{S}(2) $ |
L:(1/2,0,1/2) | $2L_{1}^{S}(2)⊕2L_{2}^{S}(2) $ |
M:(1/2,0,0) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
P:(1/3,1/3,w) | $4P_{3}^{S}(2) $ |
Λ:(u,u,0) | $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) $ |
Q:(u,u,1/2) | $2Q_{1}^{S}Q_{3}^{S}(2)⊕2Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $4R_{1}^{S}(2) $ |
U:(1/2,0,w) | $2U_{1}^{S}(1)⊕2U_{2}^{S}(1)⊕2U_{3}^{S}(1)⊕2U_{4}^{S}(1) $ |
B:(u,v,0) | $4B_{1}^{S}(1)⊕4B_{2}^{S}(1) $ |
C:(u,u,w) | $4C_{1}^{S}(1)⊕4C_{2}^{S}(1) $ |
D:(u,0,w) | $4D_{1}^{S}(1)⊕4D_{2}^{S}(1) $ |
E:(u,v,1/2) | $4E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $8GP_{1}^{S}(1) $ |
k-vector | A↑G(12) |
A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{2}^{S}(2)⊕2A_{3}^{S}(4) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{4}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{5}^{S,-}(2)⊕Γ_{6}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $ |
H:(1/3,1/3,1/2) | $H_{1}^{S}H_{3}^{S}(2)⊕H_{2}^{S}H_{4}^{S}(2)⊕2H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $K_{1}^{S}(1)⊕K_{2}^{S}(1)⊕K_{3}^{S}(1)⊕K_{4}^{S}(1)⊕2K_{5}^{S}(2)⊕2K_{6}^{S}(2) $ |
L:(1/2,0,1/2) | $3L_{1}^{S}(2)⊕3L_{2}^{S}(2) $ |
M:(1/2,0,0) | $2M_{1}^{S,+}(1)⊕2M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕2M_{4}^{S,+}(1)⊕2M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $ |
P:(1/3,1/3,w) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕4P_{3}^{S}(2) $ |
Λ:(u,u,0) | $3Λ_{1}^{S}(1)⊕3Λ_{2}^{S}(1)⊕3Λ_{3}^{S}(1)⊕3Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $4Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕2Σ_{3}^{S}(1)⊕4Σ_{4}^{S}(1) $ |
Q:(u,u,1/2) | $3Q_{1}^{S}Q_{3}^{S}(2)⊕3Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $6R_{1}^{S}(2) $ |
U:(1/2,0,w) | $3U_{1}^{S}(1)⊕3U_{2}^{S}(1)⊕3U_{3}^{S}(1)⊕3U_{4}^{S}(1) $ |
B:(u,v,0) | $6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $ |
C:(u,u,w) | $6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $ |
D:(u,0,w) | $6D_{1}^{S}(1)⊕6D_{2}^{S}(1) $ |
E:(u,v,1/2) | $6E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $12GP_{1}^{S}(1) $ |
k-vector | A'↑G(12) |
A:(0,0,1/2) | $A_{1}^{S}(2)⊕A_{2}^{S}(2)⊕2A_{3}^{S}(4) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1)⊕2Γ_{5}^{S,+}(2)⊕2Γ_{6}^{S,-}(2) $ |
H:(1/3,1/3,1/2) | $H_{1}^{S}H_{3}^{S}(2)⊕H_{2}^{S}H_{4}^{S}(2)⊕2H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{4}^{S}(1)⊕4K_{5}^{S}(2) $ |
L:(1/2,0,1/2) | $3L_{1}^{S}(2)⊕3L_{2}^{S}(2) $ |
M:(1/2,0,0) | $3M_{1}^{S,+}(1)⊕3M_{2}^{S,+}(1)⊕3M_{3}^{S,-}(1)⊕3M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $ |
P:(1/3,1/3,w) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕4P_{3}^{S}(2) $ |
Λ:(u,u,0) | $6Λ_{1}^{S}(1)⊕6Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $6Σ_{1}^{S}(1)⊕6Σ_{2}^{S}(1) $ |
Q:(u,u,1/2) | $3Q_{1}^{S}Q_{3}^{S}(2)⊕3Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $6R_{1}^{S}(2) $ |
U:(1/2,0,w) | $3U_{1}^{S}(1)⊕3U_{2}^{S}(1)⊕3U_{3}^{S}(1)⊕3U_{4}^{S}(1) $ |
B:(u,v,0) | $12B_{1}^{S}(1) $ |
C:(u,u,w) | $6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $ |
D:(u,0,w) | $6D_{1}^{S}(1)⊕6D_{2}^{S}(1) $ |
E:(u,v,1/2) | $6E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $12GP_{1}^{S}(1) $ |
k-vector | A'↑G(12) |
A:(0,0,1/2) | $2A_{1}^{S}(2)⊕2A_{3}^{S}(4) $ |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{5}^{S,-}(2)⊕Γ_{6}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $ |
H:(1/3,1/3,1/2) | $2H_{1}^{S}H_{3}^{S}(2)⊕2H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{3}^{S}(1)⊕2K_{5}^{S}(2)⊕2K_{6}^{S}(2) $ |
L:(1/2,0,1/2) | $4L_{1}^{S}(2)⊕2L_{2}^{S}(2) $ |
M:(1/2,0,0) | $2M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕2M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕2M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $ |
P:(1/3,1/3,w) | $4P_{1}^{S}(1)⊕4P_{3}^{S}(2) $ |
Λ:(u,u,0) | $4Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1)⊕3Σ_{3}^{S}(1)⊕3Σ_{4}^{S}(1) $ |
Q:(u,u,1/2) | $4Q_{1}^{S}Q_{3}^{S}(2)⊕2Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $6R_{1}^{S}(2) $ |
U:(1/2,0,w) | $4U_{1}^{S}(1)⊕2U_{2}^{S}(1)⊕4U_{3}^{S}(1)⊕2U_{4}^{S}(1) $ |
B:(u,v,0) | $6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $ |
C:(u,u,w) | $8C_{1}^{S}(1)⊕4C_{2}^{S}(1) $ |
D:(u,0,w) | $6D_{1}^{S}(1)⊕6D_{2}^{S}(1) $ |
E:(u,v,1/2) | $6E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $12GP_{1}^{S}(1) $ |
k-vector | A↑G(24) |
A:(0,0,1/2) | $2A_{1}^{S}(2)⊕2A_{2}^{S}(2)⊕4A_{3}^{S}(4) $ |
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)⊕2Γ_{5}^{S,+}(2)⊕2Γ_{5}^{S,-}(2)⊕2Γ_{6}^{S,+}(2)⊕2Γ_{6}^{S,-}(2) $ |
H:(1/3,1/3,1/2) | $2H_{1}^{S}H_{3}^{S}(2)⊕2H_{2}^{S}H_{4}^{S}(2)⊕4H_{5}^{S}H_{6}^{S}(4) $ |
K:(1/3,1/3,0) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1)⊕2K_{3}^{S}(1)⊕2K_{4}^{S}(1)⊕4K_{5}^{S}(2)⊕4K_{6}^{S}(2) $ |
L:(1/2,0,1/2) | $6L_{1}^{S}(2)⊕6L_{2}^{S}(2) $ |
M:(1/2,0,0) | $3M_{1}^{S,+}(1)⊕3M_{1}^{S,-}(1)⊕3M_{2}^{S,+}(1)⊕3M_{2}^{S,-}(1)⊕3M_{3}^{S,+}(1)⊕3M_{3}^{S,-}(1)⊕3M_{4}^{S,+}(1)⊕3M_{4}^{S,-}(1) $ |
Δ:(0,0,w) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1)⊕4Δ_{5}^{S}(2)⊕4Δ_{6}^{S}(2) $ |
P:(1/3,1/3,w) | $4P_{1}^{S}(1)⊕4P_{2}^{S}(1)⊕8P_{3}^{S}(2) $ |
Λ:(u,u,0) | $6Λ_{1}^{S}(1)⊕6Λ_{2}^{S}(1)⊕6Λ_{3}^{S}(1)⊕6Λ_{4}^{S}(1) $ |
Σ:(u,0,0) | $6Σ_{1}^{S}(1)⊕6Σ_{2}^{S}(1)⊕6Σ_{3}^{S}(1)⊕6Σ_{4}^{S}(1) $ |
Q:(u,u,1/2) | $6Q_{1}^{S}Q_{3}^{S}(2)⊕6Q_{2}^{S}Q_{4}^{S}(2) $ |
R:(u,0,1/2) | $12R_{1}^{S}(2) $ |
U:(1/2,0,w) | $6U_{1}^{S}(1)⊕6U_{2}^{S}(1)⊕6U_{3}^{S}(1)⊕6U_{4}^{S}(1) $ |
B:(u,v,0) | $12B_{1}^{S}(1)⊕12B_{2}^{S}(1) $ |
C:(u,u,w) | $12C_{1}^{S}(1)⊕12C_{2}^{S}(1) $ |
D:(u,0,w) | $12D_{1}^{S}(1)⊕12D_{2}^{S}(1) $ |
E:(u,v,1/2) | $12E_{1}^{S}E_{2}^{S}(2) $ |
GP:(u,v,w) | $24GP_{1}^{S}(1) $ |