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d4h - Punktgruppensymmetrie Charaktertafeln
D4h Punktgruppe
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| nicht abelsch, 10(12) irreduzible Darstellungen | |
Untergruppen der D4h Punktgruppe: Cs, Ci, C2, C4, D2, D4, C2v, C4v, C2h, C4h, D2h, D2d, S4 |
Charaktertafel der D4h Punktgruppe
|
E |
2C4 (z) |
C2 |
2C'2 |
2C''2 |
i |
2S4 |
σh |
2σv |
2σd |
linears,
rotations |
quadratic |
| A1g |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
| A2g |
1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
1 |
-1 |
-1 |
Rz |
|
| B1g |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
|
x2-y2 |
| B2g |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
1 |
|
xy |
| Eg |
2 |
0 |
-2 |
0 |
0 |
2 |
0 |
-2 |
0 |
0 |
(Rx, Ry) |
(xz, yz) |
| A1u |
1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
|
| A2u |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
z |
|
| B1u |
1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
-1 |
-1 |
1 |
|
|
| B2u |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
|
|
| Eu |
2 |
0 |
-2 |
0 |
0 |
-2 |
0 |
2 |
0 |
0 |
(x, y) |
|
Multiplikationstabelle der D4h Punktgruppe| | A1g | A2g | B1g | B2g | Eg | A1u | A2u | B1u | B2u | Eu |
|---|
| A1g | A1g | A2g | B1g | B2g | Eg | A1u | A2u | B1u | B2u | Eu |
|---|
| A2g | A2g | A1g | B2g | B1g | Eg | A2u | A1u | B2u | B1u | Eu |
|---|
| B1g | B1g | B2g | A1g | A2g | Eg | B1u | B2u | A1u | A2u | Eu |
|---|
| B2g | B2g | B1g | A2g | A1g | Eg | B2u | B1u | A2u | A1u | Eu |
|---|
| Eg | Eg | Eg | Eg | Eg | A1g+A2g+B1g+B2g | Eu | Eu | Eu | Eu | A1u+A2u+B1u+B2u |
|---|
| A1u | A1u | A2u | B1u | B2u | Eu | A1g | A2g | B1g | B2g | Eg |
|---|
| A2u | A2u | A1u | B2u | B1u | Eu | A2g | A1g | B2g | B1g | Eg |
|---|
| B1u | B1u | B2u | A1u | A2u | Eu | B1g | B2g | A1g | A2g | Eg |
|---|
| B2u | B2u | B1u | A2u | A1u | Eu | B2g | B1g | A2g | A1g | Eg |
|---|
| Eu | Eu | Eu | Eu | Eu | A1u+A2u+B1u+B2u | Eg | Eg | Eg | Eg | A1g+A2g+B1g+B2g |
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