Characters of symmetric power
Power To | 
E | 
C2 | 
i | 
σh | 
| 1 | 
0 | 
0 | 
0 | 
0 | 
| 2 | 
0 | 
0 | 
0 | 
0 | 
| 3 | 
0 | 
0 | 
0 | 
0 | 
| 4 | 
0 | 
0 | 
0 | 
0 | 
| 5 | 
0 | 
0 | 
0 | 
0 | 
| 6 | 
0 | 
0 | 
0 | 
0 | 
Decomposition to irreducible representations
Column for irrep  highlighted
Power To | 
Ag | 
Bg | 
Au | 
Bu | 
| 1 | 
0 | 
0 | 
0 | 
0 | 
| 2 | 
0 | 
0 | 
0 | 
0 | 
| 3 | 
0 | 
0 | 
0 | 
0 | 
| 4 | 
0 | 
0 | 
0 | 
0 | 
| 5 | 
0 | 
0 | 
0 | 
0 | 
| 6 | 
0 | 
0 | 
0 | 
0 | 
Contributions to irrep 
pos(X) : Position of irreducible representation (irrep) X in character table of C
2h
Subtotal: <Contributions to irrep  in subsection>
 / <number of nonzero irrep combinations in subsection> / <number of irrep combinations in subsection>
Total: <Contributions to irrep >
 / <number of nonzero irrep combinations in force field> / <number of irrep combinations in force field>
Contributions to irrep 
 for symmetric power to 2
| Irrep combinations (i,i) with indices: pos(Ag) ≤ i ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 4 | 
| Irrep combinations (i,j) with indices: pos(Ag) ≤ i ≤ j ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 6 | 
| Total: 0 / 0 / 10 | 
Contributions to irrep 
 for symmetric power to 3
| Irrep combinations (i,i,i) with indices: pos(Ag) ≤ i ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 4 | 
| Irrep combinations (i,i,j) (i,j,j) with indices: pos(Ag) ≤ i ≤ j ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 12 | 
| Irrep combinations (i,j,k) with indices: pos(Ag) ≤ i ≤ j ≤ k ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 4 | 
| Total: 0 / 0 / 20 | 
Contributions to irrep 
 for symmetric power to 4
| Irrep combinations (i,i,i,i) with indices: pos(Ag) ≤ i ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 4 | 
| Irrep combinations (i,i,i,j) (i,j,j,j) with indices: pos(Ag) ≤ i ≤ j ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 12 | 
| Irrep combinations (i,i,j,j) with indices: pos(Ag) ≤ i ≤ j ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 6 | 
| Irrep combinations (i,i,j,k) (i,j,j,k) (i,j,k,k) with indices: pos(Ag) ≤ i ≤ j ≤ k ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 12 | 
| Irrep combinations (i,j,k,l) with indices: pos(Ag) ≤ i ≤ j ≤ k ≤ l ≤ pos(Bu) | 
| Subtotal: 0 / 0 / 1 | 
| Total: 0 / 0 / 35 | 
Calculate contributions to
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement