Results for Point Group C11



Symmetric powers of degenerate representation E1
Vibrational overtones


Characters of symmetric powers
Power
To		 E C11 (C11)2 (C11)3 (C11)4 (C11)5 (C11)6 (C11)7 (C11)8 (C11)9 (C11)10
1 2 1.683 0.831 -0.285 -1.310 -1.919 -1.919 -1.310 -0.285 0.831 1.683
2 3 1.831 -0.310 -0.919 0.715 2.683 2.683 0.715 -0.919 -0.310 1.831
3 4 1.398 -1.088 0.546 0.373 -3.229 -3.229 0.373 0.546 -1.088 1.398
4 5 0.521 -0.594 0.764 -1.204 3.513 3.513 -1.204 0.764 -0.594 0.521
5 6 -0.521 0.594 -0.764 1.204 -3.513 -3.513 1.204 -0.764 0.594 -0.521
6 7 -1.398 1.088 -0.546 -0.373 3.229 3.229 -0.373 -0.546 1.088 -1.398
7 8 -1.831 0.310 0.919 -0.715 -2.683 -2.683 -0.715 0.919 0.310 -1.831
8 9 -1.683 -0.831 0.285 1.310 1.919 1.919 1.310 0.285 -0.831 -1.683
9 10 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000
10 11 -0.000 -0.000 -0.000 -0.000 -0.000 0.000 0.000 0.000 0.000 0.000
11 12 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
12 13 1.683 0.831 -0.285 -1.310 -1.919 -1.919 -1.310 -0.285 0.831 1.683
13 14 1.831 -0.310 -0.919 0.715 2.683 2.683 0.715 -0.919 -0.310 1.831
14 15 1.398 -1.088 0.546 0.373 -3.229 -3.229 0.373 0.546 -1.088 1.398
15 16 0.521 -0.594 0.764 -1.204 3.513 3.513 -1.204 0.764 -0.594 0.521
16 17 -0.521 0.594 -0.764 1.204 -3.513 -3.513 1.204 -0.764 0.594 -0.521
17 18 -1.398 1.088 -0.546 -0.373 3.229 3.229 -0.373 -0.546 1.088 -1.398
18 19 -1.831 0.310 0.919 -0.715 -2.683 -2.683 -0.715 0.919 0.310 -1.831
19 20 -1.683 -0.831 0.285 1.310 1.919 1.919 1.310 0.285 -0.831 -1.683
20 21 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000


Decomposition to irreducible representations
Power
To		 A E1* E2* E3* E4* E5*
1 0 1 0 0 0 0 E1
2 1 0 1 0 0 0 A⊕E2
3 0 1 0 1 0 0 E1⊕E3
4 1 0 1 0 1 0 A⊕E2⊕E4
5 0 1 0 1 0 1 E1⊕E3⊕E5
6 1 0 1 0 1 1 A⊕E2⊕E4⊕E5
7 0 1 0 1 1 1 E1⊕E3⊕E4⊕E5
8 1 0 1 1 1 1 A⊕E2⊕E3⊕E4⊕E5
9 0 1 1 1 1 1 E1⊕E2⊕E3⊕E4⊕E5
10 1 1 1 1 1 1 A⊕E1⊕E2⊕E3⊕E4⊕E5
11 2 1 1 1 1 1 2A⊕E1⊕E2⊕E3⊕E4⊕E5
12 1 2 1 1 1 1 A⊕2E1⊕E2⊕E3⊕E4⊕E5
13 2 1 2 1 1 1 2A⊕E1⊕2E2⊕E3⊕E4⊕E5
14 1 2 1 2 1 1 A⊕2E1⊕E2⊕2E3⊕E4⊕E5
15 2 1 2 1 2 1 2A⊕E1⊕2E2⊕E3⊕2E4⊕E5
16 1 2 1 2 1 2 A⊕2E1⊕E2⊕2E3⊕E4⊕2E5
17 2 1 2 1 2 2 2A⊕E1⊕2E2⊕E3⊕2E4⊕2E5
18 1 2 1 2 2 2 A⊕2E1⊕E2⊕2E3⊕2E4⊕2E5
19 2 1 2 2 2 2 2A⊕E1⊕2E2⊕2E3⊕2E4⊕2E5
20 1 2 2 2 2 2 A⊕2E1⊕2E2⊕2E3⊕2E4⊕2E5


Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement