Characters of symmetric power
Power
To |
E |
C11 |
(C11)2 |
(C11)3 |
(C11)4 |
(C11)5 |
(C11)6 |
(C11)7 |
(C11)8 |
(C11)9 |
(C11)10 |
σh |
S11 |
(S11)13 |
(S11)3 |
(S11)15 |
(S11)5 |
(S11)17 |
(S11)7 |
(S11)19 |
(S11)9 |
(S11)21 |
| 1 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
| 2 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
| 3 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
| 4 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
| 5 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
| 6 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
Decomposition to irreducible representations
Column for irrep E'-1583139744 highlighted
Power
To |
A' |
E'1*
|
E'2*
|
E'3*
|
E'4*
|
E'5*
|
A'' |
E''1*
|
E''2*
|
E''3*
|
E''4*
|
E''5*
|
| 1 |
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 |
| 3 |
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 |
| 5 |
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 |
Contributions to irrep
E'-1583139744
pos(X) : Position of irreducible representation (irrep) X in character table of C
11h
Subtotal: <Contributions to irrep E'
-1583139744 in subsection>
/ <number of nonzero irrep combinations in subsection> / <number of irrep combinations in subsection>
Total: <Contributions to irrep E'
-1583139744>
/ <number of nonzero irrep combinations in force field> / <number of irrep combinations in force field>
Contributions to irrep
E'-1583139744 for symmetric power to 2
| Irrep combinations (i,i) with indices: pos(A') ≤ i ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 12 |
| Irrep combinations (i,j) with indices: pos(A') ≤ i ≤ j ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 66 |
| Total: 0 / 0 / 78 |
Contributions to irrep
E'-1583139744 for symmetric power to 3
| Irrep combinations (i,i,i) with indices: pos(A') ≤ i ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 12 |
| Irrep combinations (i,i,j) (i,j,j) with indices: pos(A') ≤ i ≤ j ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 132 |
| Irrep combinations (i,j,k) with indices: pos(A') ≤ i ≤ j ≤ k ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 220 |
| Total: 0 / 0 / 364 |
Contributions to irrep
E'-1583139744 for symmetric power to 4
| Irrep combinations (i,i,i,i) with indices: pos(A') ≤ i ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 12 |
| Irrep combinations (i,i,i,j) (i,j,j,j) with indices: pos(A') ≤ i ≤ j ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 132 |
| Irrep combinations (i,i,j,j) with indices: pos(A') ≤ i ≤ j ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 66 |
| Irrep combinations (i,i,j,k) (i,j,j,k) (i,j,k,k) with indices: pos(A') ≤ i ≤ j ≤ k ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 660 |
| Irrep combinations (i,j,k,l) with indices: pos(A') ≤ i ≤ j ≤ k ≤ l ≤ pos(E''5) |
|---|
| Subtotal: 0 / 0 / 495 |
| Total: 0 / 0 / 1.365 |
Calculate contributions to
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement