Characters of symmetric power
Power To |
E |
σh |
1 |
0 |
0 |
2 |
0 |
0 |
3 |
0 |
0 |
4 |
0 |
0 |
5 |
0 |
0 |
6 |
0 |
0 |
Decomposition to irreducible representations
Column for irrep highlighted
Power To |
A' |
A'' |
1 |
0 |
0 |
2 |
0 |
0 |
3 |
0 |
0 |
4 |
0 |
0 |
5 |
0 |
0 |
6 |
0 |
0 |
Contributions to irrep
pos(X) : Position of irreducible representation (irrep) X in character table of C
s
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(A') ≤ i ≤ pos(A'') |
Subtotal: 0 / 0 / 2 |
Irrep combinations (i,j) with indices: pos(A') ≤ i ≤ j ≤ pos(A'') |
Subtotal: 0 / 0 / 1 |
Total: 0 / 0 / 3 |
Contributions to irrep
for symmetric power to 3
Irrep combinations (i,i,i) with indices: pos(A') ≤ i ≤ pos(A'') |
Subtotal: 0 / 0 / 2 |
Irrep combinations (i,i,j) (i,j,j) with indices: pos(A') ≤ i ≤ j ≤ pos(A'') |
Subtotal: 0 / 0 / 2 |
Irrep combinations (i,j,k) with indices: pos(A') ≤ i ≤ j ≤ k ≤ pos(A'') |
Subtotal: 0 / 0 / 0 |
Total: 0 / 0 / 4 |
Contributions to irrep
for symmetric power to 4
Irrep combinations (i,i,i,i) with indices: pos(A') ≤ i ≤ pos(A'') |
Subtotal: 0 / 0 / 2 |
Irrep combinations (i,i,i,j) (i,j,j,j) with indices: pos(A') ≤ i ≤ j ≤ pos(A'') |
Subtotal: 0 / 0 / 2 |
Irrep combinations (i,i,j,j) with indices: pos(A') ≤ i ≤ j ≤ pos(A'') |
Subtotal: 0 / 0 / 1 |
Irrep combinations (i,i,j,k) (i,j,j,k) (i,j,k,k) with indices: pos(A') ≤ i ≤ j ≤ k ≤ pos(A'') |
Subtotal: 0 / 0 / 0 |
Irrep combinations (i,j,k,l) with indices: pos(A') ≤ i ≤ j ≤ k ≤ l ≤ pos(A'') |
Subtotal: 0 / 0 / 0 |
Total: 0 / 0 / 5 |
Calculate contributions to
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement