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Proceedings Paper

Quantum-mechanical calculation of the fourth-order tensor X(4)D (wa; w1, w1, w1, -w2) for a nonracemic solution of chiral molecules
Author(s): N. I. Konovalov; Tamara M. Il'inova; A. V. Karzanov; Nikolai I. Koroteev
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Paper Abstract

New spectroscopic schemes studying noncentrosymmetrical media (nonracemic solutions of chiral molecules) are based on investigation of frequency dispersion of the fourth-order dipole susceptibility tensor (chi) ijklm(4D)((omega) a;(omega) 1,(omega) 1,(omega) 1,-(omega) 2). This paper contains the accurate quantum-mechanical calculations of the resonance part of hyper-polarizability tensor (gamma) '(4D) and its connection with Raman ((alpha) '(2) and hyper-Raman ((beta) '(3)) scattering tensors. In the case it was suggested pump frequencies' combination (omega) 1 - (omega) 2 scanning one of the vibrational resonance of the molecule: (omega) 1 - (omega) 2 approximately equals (Omega) . Tensor (gamma) '(4D) was averaged over arbitrary orientations of noncentrosymmetrical molecules in the solution by applying irreducible tensors operators' technique giving dipole susceptibility tensor (chi) '(4D) equals NL4<(gamma) '(4D)>. Symmetry of this tensor coincides with the model calculations. As it was expected, tensor (chi) ijklm(4D)((omega) a;(omega) 1,(omega) 1,(omega) 1,-(omega) 2) includes only 6 non zero components equal by their absolute values. For centrosymmetrical molecules in isotropic medium tensor (chi) '(4D) is equal to zero. Similar computations were made in the hyper-Raman resonance case 2(omega) 1 - (omega) 2 approximately equals (Omega) .

Paper Details

Date Published: 2 January 1995
PDF: 5 pages
Proc. SPIE 2370, 5th International Conference on Laser Applications in Life Sciences, (2 January 1995); doi: 10.1117/12.197458
Show Author Affiliations
N. I. Konovalov, Moscow State Univ. (Russia)
Tamara M. Il'inova, Moscow State Univ. (Russia)
A. V. Karzanov, Moscow State Univ. (Russia)
Nikolai I. Koroteev, Moscow State Univ. (Russia)

Published in SPIE Proceedings Vol. 2370:
5th International Conference on Laser Applications in Life Sciences
Pavel A. Apanasevich; Nikolai I. Koroteev; Sergei G. Kruglik; Victor N. Zadkov, Editor(s)

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