Characters of symmetric power
Power
To |
E |
2C29 |
2(C29)2 |
2(C29)3 |
2(C29)4 |
2(C29)5 |
2(C29)6 |
2(C29)7 |
2(C29)8 |
2(C29)9 |
2(C29)10 |
2(C29)11 |
2(C29)12 |
2(C29)13 |
2(C29)14 |
29C'2 |
σh |
2S29 |
2(S29)27 |
2(S29)3 |
2(S29)25 |
2(S29)5 |
2(S29)23 |
2(S29)7 |
2(S29)21 |
2(S29)9 |
2(S29)19 |
2(S29)11 |
2(S29)17 |
2(S29)13 |
2(S29)15 |
29σv |
| 1 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
| 2 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
| 3 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
| 4 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
| 5 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
| 6 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
Decomposition to irreducible representations
Column for irrep E''2011895407 highlighted
Power
To |
A'1 |
A'2 |
E'1 |
E'2 |
E'3 |
E'4 |
E'5 |
E'6 |
E'7 |
E'8 |
E'9 |
E'10 |
E'11 |
E'12 |
E'13 |
E'14 |
A''1 |
A''2 |
E''1 |
E''2 |
E''3 |
E''4 |
E''5 |
E''6 |
E''7 |
E''8 |
E''9 |
E''10 |
E''11 |
E''12 |
E''13 |
E''14 |
| 1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| 2 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| 3 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| 4 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| 5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| 6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Contributions to irrep
A'1
pos(X) : Position of irreducible representation (irrep) X in character table of D
29h
Subtotal: <Contributions to irrep A'
1 in subsection>
/ <number of nonzero irrep combinations in subsection> / <number of irrep combinations in subsection>
Total: <Contributions to irrep A'
1>
/ <number of nonzero irrep combinations in force field> / <number of irrep combinations in force field>
Contributions to irrep
A'1 for symmetric power to 2
| Irrep combinations (i,i) with indices: pos(A'1) ≤ i ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 32 |
| Irrep combinations (i,j) with indices: pos(A'1) ≤ i ≤ j ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 496 |
| Total: 0 / 0 / 528 |
Contributions to irrep
A'1 for symmetric power to 3
| Irrep combinations (i,i,i) with indices: pos(A'1) ≤ i ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 32 |
| Irrep combinations (i,i,j) (i,j,j) with indices: pos(A'1) ≤ i ≤ j ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 992 |
| Irrep combinations (i,j,k) with indices: pos(A'1) ≤ i ≤ j ≤ k ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 4.960 |
| Total: 0 / 0 / 5.984 |
Contributions to irrep
A'1 for symmetric power to 4
| Irrep combinations (i,i,i,i) with indices: pos(A'1) ≤ i ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 32 |
| Irrep combinations (i,i,i,j) (i,j,j,j) with indices: pos(A'1) ≤ i ≤ j ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 992 |
| Irrep combinations (i,i,j,j) with indices: pos(A'1) ≤ i ≤ j ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 496 |
| Irrep combinations (i,i,j,k) (i,j,j,k) (i,j,k,k) with indices: pos(A'1) ≤ i ≤ j ≤ k ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 14.880 |
| Irrep combinations (i,j,k,l) with indices: pos(A'1) ≤ i ≤ j ≤ k ≤ l ≤ pos(E''14) |
|---|
| Subtotal: 0 / 0 / 35.960 |
| Total: 0 / 0 / 52.360 |
Calculate contributions to
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement