Results for Point Group C11v



Symmetric powers of degenerate representation E3
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2C11 2(C11)2 2(C11)3 2(C11)4 2(C11)5 11σv
1 2 -0.285 -1.919 0.831 1.683 -1.310 0
2 3 -0.919 2.683 -0.310 1.831 0.715 1
3 4 0.546 -3.229 -1.088 1.398 0.373 0
4 5 0.764 3.513 -0.594 0.521 -1.204 1
5 6 -0.764 -3.513 0.594 -0.521 1.204 0
6 7 -0.546 3.229 1.088 -1.398 -0.373 1
7 8 0.919 -2.683 0.310 -1.831 -0.715 0
8 9 0.285 1.919 -0.831 -1.683 1.310 1
9 10 -1.000 -1.000 -1.000 -1.000 -1.000 0
10 11 -0.000 -0.000 -0.000 -0.000 -0.000 1
11 12 1.000 1.000 1.000 1.000 1.000 0
12 13 -0.285 -1.919 0.831 1.683 -1.310 1
13 14 -0.919 2.683 -0.310 1.831 0.715 0
14 15 0.546 -3.229 -1.088 1.398 0.373 1
15 16 0.764 3.513 -0.594 0.521 -1.204 0
16 17 -0.764 -3.513 0.594 -0.521 1.204 1
17 18 -0.546 3.229 1.088 -1.398 -0.373 0
18 19 0.919 -2.683 0.310 -1.831 -0.715 1
19 20 0.285 1.919 -0.831 -1.683 1.310 0
20 21 -1.000 -1.000 -1.000 -1.000 -1.000 1


Decomposition to irreducible representations
Power
To		 A1 A2 E1 E2 E3 E4 E5
1 0 0 0 0 1 0 0 E3
2 1 0 0 0 0 0 1 A1⊕E5
3 0 0 0 1 1 0 0 E2⊕E3
4 1 0 1 0 0 0 1 A1⊕E1⊕E5
5 0 0 0 1 1 1 0 E2⊕E3⊕E4
6 1 0 1 0 0 1 1 A1⊕E1⊕E4⊕E5
7 0 0 1 1 1 1 0 E1⊕E2⊕E3⊕E4
8 1 0 1 1 0 1 1 A1⊕E1⊕E2⊕E4⊕E5
9 0 0 1 1 1 1 1 E1⊕E2⊕E3⊕E4⊕E5
10 1 0 1 1 1 1 1 A1⊕E1⊕E2⊕E3⊕E4⊕E5
11 1 1 1 1 1 1 1 A1⊕A2⊕E1⊕E2⊕E3⊕E4⊕E5
12 1 0 1 1 2 1 1 A1⊕E1⊕E2⊕2E3⊕E4⊕E5
13 1 1 1 1 1 1 2 A1⊕A2⊕E1⊕E2⊕E3⊕E4⊕2E5
14 1 0 1 2 2 1 1 A1⊕E1⊕2E2⊕2E3⊕E4⊕E5
15 1 1 2 1 1 1 2 A1⊕A2⊕2E1⊕E2⊕E3⊕E4⊕2E5
16 1 0 1 2 2 2 1 A1⊕E1⊕2E2⊕2E3⊕2E4⊕E5
17 1 1 2 1 1 2 2 A1⊕A2⊕2E1⊕E2⊕E3⊕2E4⊕2E5
18 1 0 2 2 2 2 1 A1⊕2E1⊕2E2⊕2E3⊕2E4⊕E5
19 1 1 2 2 1 2 2 A1⊕A2⊕2E1⊕2E2⊕E3⊕2E4⊕2E5
20 1 0 2 2 2 2 2 A1⊕2E1⊕2E2⊕2E3⊕2E4⊕2E5


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