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 ‖ 2010 | 0 0 1/2 } |
-a, b, c | x, y, z | { 1 ‖ m100 | 0 } |
a, b, -c+1/2 | x, y, z | { 1 ‖ m001 | 0 0 1/2 } |
a, -b, -c | -x, -y, -z | { -1 ‖ 2100 | 0 } |
-a, -b, c+1/2 | -x, -y, -z | { -1 ‖ 2001 | 0 0 1/2 } |
-a, -b, -c | -x, -y, -z | { -1 ‖ -1 | 0 } |
a, -b, c+1/2 | -x, -y, -z | { -1 ‖ m010 | 0 0 1/2 } |
a+1/2, b+1/2, c | x, y, z | { 1 ‖ 1 | 1/2 1/2 0 } |
-a+1/2, b+1/2, -c+1/2 | x, y, z | { 1 ‖ 2010 | 1/2 1/2 1/2 } |
-a+1/2, b+1/2, c | x, y, z | { 1 ‖ m100 | 1/2 1/2 0 } |
a+1/2, b+1/2, -c+1/2 | x, y, z | { 1 ‖ m001 | 1/2 1/2 1/2 } |
a+1/2, -b+1/2, -c | -x, -y, -z | { -1 ‖ 2100 | 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 ‖ -1 | 1/2 1/2 0 } |
a+1/2, -b+1/2, c+1/2 | -x, -y, -z | { -1 ‖ m010 | 1/2 1/2 1/2 } |
a, b, c | -x, y, z | { m ‖ 1 | 0 } |
-a, b, -c+1/2 | -x, y, z | { m ‖ 2010 | 0 0 1/2 } |
-a, b, c | -x, y, z | { m ‖ m100 | 0 } |
a, b, -c+1/2 | -x, y, z | { m ‖ m001 | 0 0 1/2 } |
a, -b, -c | x, -y, -z | { 2 ‖ 2100 | 0 } |
-a, -b, c+1/2 | x, -y, -z | { 2 ‖ 2001 | 0 0 1/2 } |
-a, -b, -c | x, -y, -z | { 2 ‖ -1 | 0 } |
a, -b, c+1/2 | x, -y, -z | { 2 ‖ m010 | 0 0 1/2 } |
a+1/2, b+1/2, c | -x, y, z | { m ‖ 1 | 1/2 1/2 0 } |
-a+1/2, b+1/2, -c+1/2 | -x, y, z | { m ‖ 2010 | 1/2 1/2 1/2 } |
-a+1/2, b+1/2, c | -x, y, z | { m ‖ m100 | 1/2 1/2 0 } |
a+1/2, b+1/2, -c+1/2 | -x, y, z | { m ‖ m001 | 1/2 1/2 1/2 } |
a+1/2, -b+1/2, -c | x, -y, -z | { 2 ‖ 2100 | 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 ‖ -1 | 1/2 1/2 0 } |
a+1/2, -b+1/2, c+1/2 | x, -y, -z | { 2 ‖ m010 | 1/2 1/2 1/2 } |
WP | Site symmetry | Representative |
---|---|---|
4a | (0,0,0 | 0,0,0) | |
4b | (0,1/2,0 | 0,0,0) | |
4c | (0,b,1/4 | 0,0,z) | |
8d | (1/4,1/4,0 | 0,0,0) | |
8e | (a,0,0 | 0,0,0) | |
8f | (0,b,c | 0,0,z) | |
8g | (a,b,1/4 | 0,0,z) | |
16h | (a,b,c | 0,0,z) |
Wavevector-k | Little co-group |
---|---|
Γ:(0,0,0) | |
T:(1,0,1/2) | |
Y:(1,0,0) | |
Z:(0,0,1/2) | |
R:(1/2,1/2,1/2) | |
S:(1/2,1/2,0) | |
A:(u,0,1/2) | |
B:(0,v,1/2) | |
Δ:(0,v,0) | |
H:(1,0,w) | |
Λ:(0,0,w) | |
Σ:(u,0,0) | |
D:(1/2,1/2,w) | |
K:(0,v,w) | |
M:(u,0,w) | |
P:(u,v,0) | |
Q:(u,v,1/2) | |
GP:(u,v,w) |
Spin Brillouin Zone
mmmC
k-vector | k-vector-G↑ | A1↑G(2) |
Γ:(0,0,0) | Γ:(0,0,0) | |
R:(1/2,-1/2,1/2) | R:(1/2,1/2,-1/2) | |
S:(1/2,-1/2,0) | S:(0,1/2,-1/2) | |
T:(0,-1,1/2) | T:(1/2,0,-1) | |
Y:(0,-1,0) | Y:(0,0,-1) | |
Z:(0,0,1/2) | Z:(1/2,0,0) | |
A:(u,0,1/2) | B:(1/2,u,0) | |
B:(0,v,1/2) | A:(1/2,0,v) | |
D:(1/2,-1/2,-w) | D:(-w,1/2,-1/2) | |
Δ:(0,v,0) | Σ:(0,0,v) | |
H:(0,-1,w) | H:(w,0,-1) | |
Λ:(0,0,w) | Λ:(w,0,0) | |
Σ:(u,0,0) | Δ:(0,u,0) | |
K:(0,v,w) | M:(w,0,v) | |
M:(u,0,w) | K:(w,u,0) | |
P:(u,v,0) | P:(0,u,v) | |
Q:(u,v,1/2) | Q:(1/2,u,v) | |
GP:(u,v,w) | GP:(w,u,v) |
k-vector | k-vector-G↑ | A'↑G(4) |
Γ:(0,0,0) | Γ:(0,0,0) | |
R:(1/2,-1/2,1/2) | R:(1/2,1/2,-1/2) | |
S:(1/2,-1/2,0) | S:(0,1/2,-1/2) | |
T:(0,-1,1/2) | T:(1/2,0,-1) | |
Y:(0,-1,0) | Y:(0,0,-1) | |
Z:(0,0,1/2) | Z:(1/2,0,0) | |
A:(u,0,1/2) | B:(1/2,u,0) | |
B:(0,v,1/2) | A:(1/2,0,v) | |
D:(1/2,-1/2,-w) | D:(-w,1/2,-1/2) | |
Δ:(0,v,0) | Σ:(0,0,v) | |
H:(0,-1,w) | H:(w,0,-1) | |
Λ:(0,0,w) | Λ:(w,0,0) | |
Σ:(u,0,0) | Δ:(0,u,0) | |
K:(0,v,w) | M:(w,0,v) | |
M:(u,0,w) | K:(w,u,0) | |
P:(u,v,0) | P:(0,u,v) | |
Q:(u,v,1/2) | Q:(1/2,u,v) | |
GP:(u,v,w) | GP:(w,u,v) |
k-vector | k-vector-G↑ | A'↑G(4) |
Γ:(0,0,0) | Γ:(0,0,0) | |
R:(1/2,-1/2,1/2) | R:(1/2,1/2,-1/2) | |
S:(1/2,-1/2,0) | S:(0,1/2,-1/2) | |
T:(0,-1,1/2) | T:(1/2,0,-1) | |
Y:(0,-1,0) | Y:(0,0,-1) | |
Z:(0,0,1/2) | Z:(1/2,0,0) | |
A:(u,0,1/2) | B:(1/2,u,0) | |
B:(0,v,1/2) | A:(1/2,0,v) | |
D:(1/2,-1/2,-w) | D:(-w,1/2,-1/2) | |
Δ:(0,v,0) | Σ:(0,0,v) | |
H:(0,-1,w) | H:(w,0,-1) | |
Λ:(0,0,w) | Λ:(w,0,0) | |
Σ:(u,0,0) | Δ:(0,u,0) | |
K:(0,v,w) | M:(w,0,v) | |
M:(u,0,w) | K:(w,u,0) | |
P:(u,v,0) | P:(0,u,v) | |
Q:(u,v,1/2) | Q:(1/2,u,v) | |
GP:(u,v,w) | GP:(w,u,v) |
k-vector | k-vector-G↑ | A↑G(8) |
Γ:(0,0,0) | Γ:(0,0,0) | |
R:(1/2,-1/2,1/2) | R:(1/2,1/2,-1/2) | |
S:(1/2,-1/2,0) | S:(0,1/2,-1/2) | |
T:(0,-1,1/2) | T:(1/2,0,-1) | |
Y:(0,-1,0) | Y:(0,0,-1) | |
Z:(0,0,1/2) | Z:(1/2,0,0) | |
A:(u,0,1/2) | B:(1/2,u,0) | |
B:(0,v,1/2) | A:(1/2,0,v) | |
D:(1/2,-1/2,-w) | D:(-w,1/2,-1/2) | |
Δ:(0,v,0) | Σ:(0,0,v) | |
H:(0,-1,w) | H:(w,0,-1) | |
Λ:(0,0,w) | Λ:(w,0,0) | |
Σ:(u,0,0) | Δ:(0,u,0) | |
K:(0,v,w) | M:(w,0,v) | |
M:(u,0,w) | K:(w,u,0) | |
P:(u,v,0) | P:(0,u,v) | |
Q:(u,v,1/2) | Q:(1/2,u,v) | |
GP:(u,v,w) | GP:(w,u,v) |