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Tractable theory of nonlinear response and multidimensional nonlinear spectroscopy
Russell DeVane1, Christina Ridley, Brian Space
1Department of Chemistry, University of South Florida, 4202 E. Fowler Avenue, SCA400, Tampa, FL 33620-5250, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
Summary
We present a new classical time correlation function (TCF) theory for nonlinear spectroscopy response functions. This method accurately predicts fifth-order response functions in liquid xenon, offering a simpler interpretation of complex dynamics.
Area of Science:
- Chemical Physics
- Spectroscopy
- Theoretical Chemistry
Background:
- Nonlinear spectroscopy reveals molecular dynamics but requires complex response functions for interpretation.
- Theoretical calculation of these response functions, particularly the fifth-order response function [R5(t1, t2)], remains a significant challenge.
Purpose of the Study:
- To develop and validate a novel theoretical approach for calculating the fifth-order response function [R5(t1, t2)].
- To express the fifth-order response function as a two-time classical time correlation function (TCF).
- To investigate the applicability of this TCF theory in liquid xenon.
Main Methods:
- Formulating the fifth-order response function [R5(t1, t2)] using classical time correlation functions (TCF).
- Employing a first-order dipole-induced dipole polarizability model for calculations.
- Comparing TCF theory results with exact numerical calculations.
Main Results:
- The TCF theory demonstrated remarkable agreement with exact numerical calculations for R5(t1, t2) in liquid xenon.
- Calculations using an exactly solved polarizability model yielded different results.
- The study predicts the potential for an echo signal in nonlinear spectroscopy.
Conclusions:
- The proposed TCF theory offers a viable and accurate method for interpreting nonlinear spectroscopy data.
- This approach simplifies the theoretical treatment of complex molecular dynamics.
- The findings suggest new possibilities for observing spectroscopic echoes.