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1 ∕ f spectrum and memory function analysis of solvation dynamics in a room-temperature ionic liquid

2008/03/31 by Daun Jeong, M. Y. Choi, YounJoon Jung +1
Chemical Engineering · Chemistry · Physics and Astronomy · #Exponential function #Ionic bonding #Ionic liquid #Ionic liquids properties and applications #Molecular dynamics #Photochemistry and Electron Transfer Studies #Relaxation (psychology) #Solvation #Spectral density #Spectral line #Spectroscopy and Quantum Chemical Studies #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1063/1.2911927

10 pages, 4 figures

arxiv created 2008/03/31 · openalex publication_date 2008/05/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

To understand the nonexponential relaxation associated with solvation dynamics in the ionic liquid 1-ethyl-3-methylimidazolium hexafluorophosphate, we study power spectra of the fluctuating Franck-Condon energy gap of a diatomic probe solute via molecular dynamics simulations. Results show 1f dependence in a wide frequency range over 2-3 decades, indicating distributed relaxation times. We analyze the memory function and solvation time in the framework of the generalized Langevin equation using a simple model description for the power spectrum. It is found that the crossover frequency toward the white-noise plateau is directly related to the time scale for the memory function and thus the solvation time. Specifically, the low crossover frequency observed in the ionic liquid leads to a slowly decaying tail in its memory function and long solvation time. By contrast, acetonitrile characterized by a high crossover frequency and (near) absence of 1f behavior in its power spectra shows fast relaxation of the memory function and single exponential decay of solvation dynamics in the long-time regime.

Citations