Point Group D28d

Results for Point Group D_28d

Force field analysis

**Allowed / forbidden vibronational transitions**
Operator	A₁	A₂	B₁	B₂	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈	E₉	E₁₀	E₁₁	E₁₂	E₁₃	E₁₄	E₁₅	E₁₆	E₁₇	E₁₈	E₁₉	E₂₀	E₂₁	E₂₂	E₂₃	E₂₄	E₂₅	E₂₆	E₂₇	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	0	1	1	0 / 2
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	0	1	1	1 / 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	- - - -	0	0	1	- - - -	0 / 1

Characters of force fields
(Symmetric powers of vibration representation)
Force field	E	2S₅₆	2C₂₈	2(S₅₆)³	2C₁₄	2(S₅₆)⁵	2(C₂₈)³	2S₈	2C₇	2(S₅₆)⁹	2(C₂₈)⁵	2(S₅₆)¹¹	2(C₁₄)³	2(S₅₆)¹³	2C₄	2(S₅₆)¹⁵	2(C₇)²	2(S₅₆)¹⁷	2(C₂₈)⁹	2(S₅₆)¹⁹	2(C₁₄)⁵	2(S₈)³	2(C₂₈)¹¹	2(S₅₆)²³	2(C₇)³	2(S₅₆)²⁵	2(C₂₈)¹³	2(S₅₆)²⁷	C₂	28C'₂	28σ_d
linear	4	-3.937	3.752	-3.451	3.049	-2.561	2.009	-1.414	0.802	-0.196	-0.379	0.903	-1.357	1.726	-2	2.174	-2.247	2.224	-2.115	1.932	-1.692	1.414	-1.119	0.826	-0.555	0.324	-0.148	0.038	0	0	0
quadratic	10	9.627	8.562	6.961	5.049	3.090	1.339	-0.000	-0.802	-1.038	-0.774	-0.152	0.643	1.415	2	2.289	2.247	1.914	1.390	0.809	0.308	0.000	-0.053	0.151	0.555	1.057	1.535	1.877	2	2	2
cubic	20	-18.709	15.191	-10.384	5.494	-1.590	-0.717	1.414	-1.000	0.219	0.262	-0.107	-0.604	1.471	-2	1.852	-1.000	-0.264	1.463	-2.154	2.110	-1.414	0.399	0.513	-1.000	0.975	-0.599	0.179	0	0	0
quartic	35	31.605	22.859	12.286	3.604	-1.090	-2.015	-1.000	-0.000	0.113	-0.245	-0.135	0.890	2.304	3	2.175	0.000	-2.445	-3.907	-3.792	-2.494	-1.000	-0.126	0.025	0.000	0.427	1.434	2.527	3	3	3
quintic	56	-48.485	30.381	-11.554	-0.000	2.954	-1.434	-0.000	0.000	0.142	0.525	-1.058	-0.000	2.395	-4	3.016	0.000	-2.605	2.927	-1.400	0.000	-0.000	0.798	-0.952	-0.000	1.085	-1.198	0.463	0	0	0
sextic	84	69.248	36.380	7.922	-3.604	-2.803	-0.227	0.000	0.000	0.845	0.701	-0.770	-0.890	1.654	4	2.994	0.000	-0.880	1.367	3.412	2.494	-0.000	-1.122	-0.527	0.000	0.017	0.901	2.886	4	4	4

Error: Reduction failed

Reduction to integer numbers for irreducible representations failed.
Error Code: 1

Decomposition to irreducible representations
Column with number of nonvanshing force constants highlighted
Force field	A₁	A₂	B₁	B₂	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈	E₉	E₁₀	E₁₁	E₁₂	E₁₃	E₁₄	E₁₅	E₁₆	E₁₇	E₁₈	E₁₉	E₂₀	E₂₁	E₂₂	E₂₃	E₂₄	E₂₅	E₂₆	E₂₇
linear

**Characters of reducible representation**
E	2S₅₆	2C₂₈	2(S₅₆)³	2C₁₄	2(S₅₆)⁵	2(C₂₈)³	2S₈	2C₇	2(S₅₆)⁹	2(C₂₈)⁵	2(S₅₆)¹¹	2(C₁₄)³	2(S₅₆)¹³	2C₄	2(S₅₆)¹⁵	2(C₇)²	2(S₅₆)¹⁷	2(C₂₈)⁹	2(S₅₆)¹⁹	2(C₁₄)⁵	2(S₈)³	2(C₂₈)¹¹	2(S₅₆)²³	2(C₇)³	2(S₅₆)²⁵	2(C₂₈)¹³	2(S₅₆)²⁷	C₂	28C'₂	28σ_d
0	-3.937	3.752	-3.451	3.049	-2.561	2.009	-1.414	0.802	-0.196	-0.379	0.903	-1.357	1.726	-2	2.174	-2.247	2.224	-2.115	1.932	-1.692	1.414	-1.119	0.826	-0.555	0.324	-0.148	0.038	0	0	0