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D6h puntgroep
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niet-Abels, 12(16) niet-reduceerbare representaties |
Subgroepen van de D6h puntgroep: Cs, Ci, C2, C3, C6, D2, D3, D6, C2v, C3v, C6v, C2h, C3h, C6h, D2h, D3h, D3d, S6 | Karaktertabel van de D6h puntgroep
|
E |
2C6 |
2C3 |
C2 |
3C'2 |
3C''2 |
i |
2S3 |
2S6 |
σh |
3σd |
3σv |
Linear, rotations |
Quadratic |
A1g |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
A2g |
1 |
1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
Rz |
|
B1g |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
|
|
B2g |
1 |
-1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
|
|
E1g |
2 |
1 |
-1 |
-2 |
0 |
0 |
2 |
1 |
-1 |
-2 |
0 |
0 |
(Rx, Ry) |
(xz, yz) |
E2g |
2 |
-1 |
-1 |
2 |
0 |
0 |
2 |
-1 |
-1 |
2 |
0 |
0 |
|
(x2-y2, xy) |
A1u |
1 |
1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
|
A2u |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
z |
|
B1u |
1 |
-1 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
|
|
B2u |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
|
|
E1u |
2 |
1 |
-1 |
-2 |
0 |
0 |
-2 |
-1 |
1 |
2 |
0 |
0 |
(x, y) |
|
E2u |
2 |
-1 |
-1 |
2 |
0 |
0 |
-2 |
1 |
1 |
-2 |
0 |
0 |
|
|
Vermenigvuldigingstabel voor D6h puntgroep | A1g | A2g | B1g | B2g | E1g | E2g | A1u | A2u | B1u | B2u | E1u | E2u |
---|
A1g | A1g | A2g | B1g | B2g | E1g | E2g | A1u | A2u | B1u | B2u | E1u | E2u |
---|
A2g | A2g | A1g | B2g | B1g | E1g | E2g | A2u | A1u | B2u | B1u | E1u | E2u |
---|
B1g | B1g | B2g | A1g | A2g | E2g | E1g | B1u | B2u | A1u | A2u | E2u | E1u |
---|
B2g | B2g | B1g | A2g | A1g | E2g | E1g | B2u | B1u | A2u | A1u | E2u | E1u |
---|
E1g | E1g | E1g | E2g | E2g | A1g+A2g+E2g | B1g+B2g+E1g | E1u | E1u | E2u | E2u | A1u+A2u+E2u | B1u+B2u+E1u |
---|
E2g | E2g | E2g | E1g | E1g | B1g+B2g+E1g | A1g+A2g+E2g | E2u | E2u | E1u | E1u | B1u+B2u+E1u | A1u+A2u+E2u |
---|
A1u | A1u | A2u | B1u | B2u | E1u | E2u | A1g | A2g | B1g | B2g | E1g | E2g |
---|
A2u | A2u | A1u | B2u | B1u | E1u | E2u | A2g | A1g | B2g | B1g | E1g | E2g |
---|
B1u | B1u | B2u | A1u | A2u | E2u | E1u | B1g | B2g | A1g | A2g | E2g | E1g |
---|
B2u | B2u | B1u | A2u | A1u | E2u | E1u | B2g | B1g | A2g | A1g | E2g | E1g |
---|
E1u | E1u | E1u | E2u | E2u | A1u+A2u+E2u | B1u+B2u+E1u | E1g | E1g | E2g | E2g | A1g+A2g+E2g | B1g+B2g+E1g |
---|
E2u | E2u | E2u | E1u | E1u | B1u+B2u+E1u | A1u+A2u+E2u | E2g | E2g | E1g | E1g | B1g+B2g+E1g | A1g+A2g+E2g |
---|
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