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D∞h grupa punktowa
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| nieabelowe, nieredukowalne reprezentacje ∞ |
Tabela charakterów dla grupy punktowej D∞h
|
E |
2C∞ |
... |
∞σv |
i |
2S∞ |
... |
∞C'2 |
linear functions,
rotations |
quadratic |
| A1g=Σ+g |
1 |
1 |
... |
1 |
1 |
1 |
... |
1 |
|
x2+y2, z2 |
| A2g=Σ-g |
1 |
1 |
... |
-1 |
1 |
1 |
... |
-1 |
Rz |
|
| E1g=Πg |
2 |
2cos(φ) |
... |
0 |
2 |
-2cos(φ) |
... |
0 |
(Rx, Ry) |
(xz, yz) |
| E2g=Δg |
2 |
2cos(2φ) |
... |
0 |
2 |
2cos(2φ) |
... |
0 |
|
(x2-y2, xy) |
| E3g=Φg |
2 |
2cos(3φ) |
... |
0 |
2 |
-2cos(3φ) |
... |
0 |
|
|
| ... |
... |
... |
... |
... |
... |
... |
... |
... |
|
|
| A1u=Σ+u |
1 |
1 |
... |
1 |
-1 |
-1 |
... |
-1 |
z |
|
| A2u=Σ-u |
1 |
1 |
... |
-1 |
-1 |
-1 |
... |
1 |
|
|
| E1u=Πu |
2 |
2cos(φ) |
... |
0 |
-2 |
2cos(φ) |
... |
0 |
(x, y) |
|
| E2u=Δu |
2 |
2cos(2φ) |
... |
0 |
-2 |
-2cos(2φ) |
... |
0 |
|
|
| E3u=Φu |
2 |
2cos(3φ) |
... |
0 |
-2 |
2cos(3φ) |
... |
0 |
|
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| ... |
... |
... |
... |
... |
... |
... |
... |
... |
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