A sum rule 15 shown to exfit 111 vibrational Raman optical activrty m non-absorbmg regrons for lsotopicalIy chiral molecules d the point group of the achiral decttun dMri%u~on u 0ihe.r tixari Cnh and Ct. and d ihe Isotope-subsMuted &es are located m refleaon p'kxnes or related p-e by Improper rotati
A simple sum rule in raman theory
โ Scribed by R.A. Harris; R. Mathies; A. Myers
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 264 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
It is shown that in the limit of lage detuning encrry and in the absence of coordiuate dependence of the tmnsition moment, the resonance Raman amplitude for a 0
x J-" -II transition on a harmonic potential surface is proportional to (Sf + 6:)-l ,csp(-q*j-
[CJ"AV(~)/~~"]
dq, where Al'(q) is the difference between the arbitrary excited-state surface and rhc initial harmonic potential. The resonant and non-resonant detuning energies arc given by 6_ = E -hv and 6, = E + Jw. where Y is the incident laser frequency and E is the minimum separation between the potential surfaces.
๐ SIMILAR VOLUMES
The expressions for the sum of vibrational Raman optical activity (ROA) intensities indtcate that the ROA intensity sum for chiral molecules is non-zero for those with an anisotropic electric dipole polarizability. The non-zero sum depends upon the electric dipole, magnetic dipole and electric quad
We prove that the lowest order contributions to the high frequency optical activity of any system is non-zero only if there are two or more electrons in the system.
For simple models of the relaxation of highly vibrationally excited molecules the average energy transferred per collision <At} i for molecules with initial energy e, is a significant quantity. For more realistic models (Ae)i is generalized to a quantity [Aqe], which is not strictly an average. We d