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D3d puntgroep
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| niet-Abels, 6(8) niet-reduceerbare representaties | |
Subgroepen van de D3d puntgroep: Cs, Ci, C2, C3, D3, C3v, S6 |
Karaktertabel van de D3d puntgroep
|
E |
2C3 |
3C'2 |
i |
2S6 |
3σd |
linear,
rotations |
quadratic |
| A1g |
1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
| A2g |
1 |
1 |
-1 |
1 |
1 |
-1 |
Rz |
|
| Eg |
2 |
-1 |
0 |
2 |
-1 |
0 |
(Rx, Ry) |
(x2-y2, xy) (xz, yz) |
| A1u |
1 |
1 |
1 |
-1 |
-1 |
-1 |
|
|
| A2u |
1 |
1 |
-1 |
-1 |
-1 |
1 |
z |
|
| Eu |
2 |
-1 |
0 |
-2 |
1 |
0 |
(x, y) |
|
Vermenigvuldigingstabel voor D3d puntgroep| | A1g | A2g | Eg | A1u | A2u | Eu |
|---|
| A1g | A1g | A2g | Eg | A1u | A2u | Eu |
|---|
| A2g | A2g | A1g | Eg | A2u | A1u | Eu |
|---|
| Eg | Eg | Eg | A1g+A2g+Eg | Eu | Eu | A1u+A2u+Eu |
|---|
| A1u | A1u | A2u | Eu | A1g | A2g | Eg |
|---|
| A2u | A2u | A1u | Eu | A2g | A1g | Eg |
|---|
| Eu | Eu | Eu | A1u+A2u+Eu | Eg | Eg | A1g+A2g+Eg |
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