Results for Point Group C13h



Symmetric powers of degenerate representation E'2
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2C13 2(C13)2 2(C13)3 2(C13)4 2(C13)5 2(C13)6 σh 2S13 2(S13)11 2(S13)3 2(S13)9 2(S13)5 2(S13)7
1 2 1.136 -0.709 -1.942 -1.497 0.241 1.771 2 1.136 -0.709 -1.942 -1.497 0.241 1.771
2 3 0.291 -0.497 2.771 1.241 -0.942 2.136 3 0.291 -0.497 2.771 1.241 -0.942 2.136
3 4 -0.806 1.062 -3.439 -0.361 -0.468 2.012 4 -0.806 1.062 -3.439 -0.361 -0.468 2.012
4 5 -1.206 -0.256 3.907 -0.701 0.829 1.427 5 -1.206 -0.256 3.907 -0.701 0.829 1.427
5 6 -0.565 -0.880 -4.148 1.410 0.668 0.515 6 -0.565 -0.880 -4.148 1.410 0.668 0.515
6 7 0.565 0.880 4.148 -1.410 -0.668 -0.515 7 0.565 0.880 4.148 -1.410 -0.668 -0.515
7 8 1.206 0.256 -3.907 0.701 -0.829 -1.427 8 1.206 0.256 -3.907 0.701 -0.829 -1.427
8 9 0.806 -1.062 3.439 0.361 0.468 -2.012 9 0.806 -1.062 3.439 0.361 0.468 -2.012
9 10 -0.291 0.497 -2.771 -1.241 0.942 -2.136 10 -0.291 0.497 -2.771 -1.241 0.942 -2.136
10 11 -1.136 0.709 1.942 1.497 -0.241 -1.771 11 -1.136 0.709 1.942 1.497 -0.241 -1.771
11 12 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 12 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000
12 13 -0.000 -0.000 -0.000 0.000 0.000 0.000 13 -0.000 -0.000 -0.000 0.000 0.000 0.000
13 14 1.000 1.000 1.000 1.000 1.000 1.000 14 1.000 1.000 1.000 1.000 1.000 1.000
14 15 1.136 -0.709 -1.942 -1.497 0.241 1.771 15 1.136 -0.709 -1.942 -1.497 0.241 1.771
15 16 0.291 -0.497 2.771 1.241 -0.942 2.136 16 0.291 -0.497 2.771 1.241 -0.942 2.136
16 17 -0.806 1.062 -3.439 -0.361 -0.468 2.012 17 -0.806 1.062 -3.439 -0.361 -0.468 2.012
17 18 -1.206 -0.256 3.907 -0.701 0.829 1.427 18 -1.206 -0.256 3.907 -0.701 0.829 1.427
18 19 -0.565 -0.880 -4.148 1.410 0.668 0.515 19 -0.565 -0.880 -4.148 1.410 0.668 0.515
19 20 0.565 0.880 4.148 -1.410 -0.668 -0.515 20 0.565 0.880 4.148 -1.410 -0.668 -0.515
20 21 1.206 0.256 -3.907 0.701 -0.829 -1.427 21 1.206 0.256 -3.907 0.701 -0.829 -1.427


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


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