Point Group D28h

Results for Point Group D_28h

Force field analysis

**Allowed / forbidden vibronational transitions**
Operator	A_1g	A_2g	B_1g	B_2g	E_1g	E_2g	E_3g	E_4g	E_5g	E_6g	E_7g	E_8g	E_9g	E_10g	E_11g	E_12g	E_13g	A_1u	A_2u	B_1u	B_2u	E_1u	E_2u	E_3u	E_4u	E_5u	E_6u	E_7u	E_8u	E_9u	E_10u	E_11u	E_12u	E_13u	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	0	0	0	0	0	0 / 0
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	0	0	0	0	0	0 / 0
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	- - - -	- - - -	0	0	0^* / 0

* Parity Mutual Exclusion Principle

Characters of force fields
(Symmetric powers of vibration representation)
Force field	E	2C₂₈	2C₁₄	2(C₂₈)³	2C₇	2(C₂₈)⁵	2(C₁₄)³	2C₄	2(C₇)²	2(C₂₈)⁹	2(C₁₄)⁵	2(C₂₈)¹¹	2(C₇)³	2(C₂₈)¹³	C₂	14C'₂	14C''₂	i	2(S₂₈)¹³	2(S₇)³	2(S₂₈)¹¹	2(S₁₄)⁵	2(S₂₈)⁹	2(S₇)⁵	2S₄	2(S₁₄)³	2(S₂₈)⁵	2S₇	2(S₂₈)³	2S₁₄	2S₂₈	σ_h	14σ_v	14σ_d
linear	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0
quadratic	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0
cubic	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0
quartic	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0
quintic	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0
sextic	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0.000	0.000	0.000	0.000	0.000	0.000	0	0	0

Decomposition to irreducible representations
Column with number of nonvanshing force constants highlighted
Force field	A_1g	A_2g	B_1g	B_2g	E_1g	E_2g	E_3g	E_4g	E_5g	E_6g	E_7g	E_8g	E_9g	E_10g	E_11g	E_12g	E_13g	A_1u	A_2u	B_1u	B_2u	E_1u	E_2u	E_3u	E_4u	E_5u	E_6u	E_7u	E_8u	E_9u	E_10u	E_11u	E_12u	E_13u
linear	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	0	0	0	0	0
quadratic	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	0	0	0	0	0
cubic	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	0	0	0	0	0
quartic	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	0	0	0	0	0
quintic	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	0	0	0	0	0
sextic