Results for Point Group D29h
Force field analysis
Allowed / forbidden vibronational transitions
Operator |
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 |
Total |
Linear (IR) |
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 |
1 |
0 |
0 |
0 |
0 / 1 |
Quadratic (Raman) |
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 |
1 |
0 |
0 |
0 |
0 / 1 |
IR + Raman |
- - - - |
0 |
- - - - |
- - - - |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
- - - - |
- - - - |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
- - - - |
0 |
1 |
- - - - |
0 |
0 |
0 / 1 |
Characters of force fields
(Symmetric powers of vibration representation)
Force field |
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 |
linear |
2 |
-1.452 |
0.108 |
1.295 |
-1.988 |
1.592 |
-0.324 |
-1.122 |
1.953 |
-1.714 |
0.535 |
0.937 |
-1.895 |
1.815 |
-0.740 |
0 |
-2 |
1.452 |
-0.108 |
-1.295 |
1.988 |
-1.592 |
0.324 |
1.122 |
-1.953 |
1.714 |
-0.535 |
-0.937 |
1.895 |
-1.815 |
0.740 |
0 |
quadratic |
3 |
1.108 |
-0.988 |
0.676 |
2.953 |
1.535 |
-0.895 |
0.260 |
2.815 |
1.937 |
-0.714 |
-0.122 |
2.592 |
2.295 |
-0.452 |
1 |
3 |
1.108 |
-0.988 |
0.676 |
2.953 |
1.535 |
-0.895 |
0.260 |
2.815 |
1.937 |
-0.714 |
-0.122 |
2.592 |
2.295 |
-0.452 |
1 |
cubic |
4 |
-0.157 |
-0.215 |
-0.419 |
-3.884 |
0.852 |
0.613 |
0.831 |
3.545 |
-1.605 |
-0.917 |
-1.051 |
-3.018 |
2.350 |
1.075 |
0 |
-4 |
0.157 |
0.215 |
0.419 |
3.884 |
-0.852 |
-0.613 |
-0.831 |
-3.545 |
1.605 |
0.917 |
1.051 |
3.018 |
-2.350 |
-1.075 |
0 |
quartic |
5 |
-0.880 |
0.965 |
-1.219 |
4.768 |
-0.179 |
0.697 |
-1.192 |
4.110 |
0.814 |
0.223 |
-0.863 |
3.127 |
1.971 |
-0.344 |
1 |
5 |
-0.880 |
0.965 |
-1.219 |
4.768 |
-0.179 |
0.697 |
-1.192 |
4.110 |
0.814 |
0.223 |
-0.863 |
3.127 |
1.971 |
-0.344 |
1 |
quintic |
6 |
1.435 |
0.320 |
-1.159 |
-5.597 |
-1.136 |
-0.839 |
0.507 |
4.482 |
0.210 |
1.036 |
0.243 |
-2.909 |
1.228 |
-0.820 |
0 |
-6 |
-1.435 |
-0.320 |
1.159 |
5.597 |
1.136 |
0.839 |
-0.507 |
-4.482 |
-0.210 |
-1.036 |
-0.243 |
2.909 |
-1.228 |
0.820 |
0 |
sextic |
7 |
-1.204 |
-0.930 |
-0.282 |
6.361 |
-1.631 |
-0.425 |
0.623 |
4.645 |
-1.174 |
0.331 |
1.091 |
2.387 |
0.257 |
0.951 |
1 |
7 |
-1.204 |
-0.930 |
-0.282 |
6.361 |
-1.631 |
-0.425 |
0.623 |
4.645 |
-1.174 |
0.331 |
1.091 |
2.387 |
0.257 |
0.951 |
1 |
Decomposition to irreducible representations
Column with number of nonvanshing force constants highlighted
Force field |
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 |
linear |
Error: Reduction failed
Reduction to integer numbers for irreducible representations failed.
Error Code: 1