The effect of the noncorrespondence of normal coordinates on the Franck-Condon factors governing the appearance of non-totally symmetric vibrations in electronic spectra is examined. In a two-dimensional symmetry species containing vibrations 1 and 2, transitions such as 1 1 0 2 1 0 , 1 1 0 2 3 0 ,
Chaotic non-ergodic vibrational motion in a polyatomic molecule
โ Scribed by M.V. Kuz'min; I.V. Nemov; A.A. Stuchebrukhov; V.N. Bagratashvili; V.S. Letokhov
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 486 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
โฆ Synopsis
We study the statistical properties of vibrational motion of a highly excited polyatomic molecule. To analyze the chaotic dynamics of a molecule with s degrees of freedom, we use a numerical calculation of the complete spectrum of the Lyapunov characteristic exponents A,(i = 1,. . ., s -1) which determine the hierarchy of relaxation times: qh = X; ' c . . -c -T_ = A;_! ,. In all cases we have found rc,, Q: r_s. This means that for finite observation times ret, < Af,ss < rers some integrals of motion may be not destroyed, and so the chaotic molecular motion can be non-ergodic and the statistical approach inapplicable.
๐ SIMILAR VOLUMES
The effect of strong Duschinsky type mixing of two normal coordinates Q1 and Q2 on the intensity of transitions in non-totally symmetric vibrations in electronic spectra is examined. Using a Fermi resonance type theory, expressions are derived for the intensity of transitions such as 1(1)02(0)1 and
Free non-linear vibration of a rotating thin ring with a constant speed is analyzed when the ring has both the in-plane and out-of-plane motions. The geometric non-linearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain instead of the infinitesi