Cooperative Molecular Behavior and Field Effects on Liquids: Experimental Considerations

Evans, Gareth J.

doi:10.1002/9780470142875.ch4

Cited by 4 publications

(1 citation statement)

References 82 publications

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“…56 This is the special case of the RSE function, with ␤ = 1. Dielectric spectroscopy experimental data for small polar molecule liquids 7,38,42,[57][58][59][60] suggest that this ratio of times is typically between 0.01 and 0.2. For Eq.…”

Section: G͑0͒mentioning

confidence: 99%

Rounded stretched exponential for time relaxation functions

Powles

Heyes

Rickayzen

et al. 2009

The Journal of Chemical Physics

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A rounded stretched exponential function is introduced, C(t)=exp{(tau(0)/tau(E))(beta)[1-(1+(t/tau(0))(2))(beta/2)]}, where t is time, and tau(0) and tau(E) are two relaxation times. This expression can be used to represent the relaxation function of many real dynamical processes, as at long times, t>>tau(0), the function converges to a stretched exponential with normalizing relaxation time, tau(E), yet its expansion is even or symmetric in time, which is a statistical mechanical requirement. This expression fits well the shear stress relaxation function for model soft soft-sphere fluids near coexistence, with tau(E)<

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Section: G͑0͒mentioning

confidence: 99%

Rounded stretched exponential for time relaxation functions

Powles

Heyes

Rickayzen

et al. 2009

The Journal of Chemical Physics

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Ionic Mobilities at Infinite Dilution: Structural Aspects

Kessler

Kumeev

Vaisman

et al. 1989

Ber Bunsenges Phys Chem

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Empirical correlations between ionic mobilities and parameters characteristic of the solvent molecules motions for a variety of single ions and 1‐1 electrolytes at infinite dilution in 19 one‐component solvents and 8 aqueous‐nonaqueous mixed solvents are found, presented and discussed. The parameters are the self‐diffusion coefficient, the dipole relaxation time, the rotational correlation time of various NMR vectors, and the residence time of solvent molecules in the first ion solvation shell. The residual friction coefficients are considered in a more theoretical vein.

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Interaction induced contributions to the far infrared spectrum of a polar fluid: Zeroth and second spectral moments

Palting

McHale

1990

The Journal of Chemical Physics

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The zeroth and second spectral moments for the far infrared spectral intensity of a polar liquid are analyzed from first principles, taking into account the first-order dipole–induced dipole contribution. The results, based on evaluating the equilibrium averages of appropriate correlation functions, are simplified by considering that the liquid pair distribution function can be approximated by a truncated expansion in terms of Wigner rotation functions. Averages involving three- and four-molecule distribution functions are not considered in the present calculation. The calculated zeroth moment for acetonitrile, M(0)=17.5 D2, compares favorably with the experimental value of 20.7 D2. The difference probably reflects the neglect of three- and four-molecule terms as well as higher order induction effects.

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Cooperative Molecular Behavior and Field Effects on Liquids: Experimental Considerations

Cited by 4 publications

References 82 publications

Rounded stretched exponential for time relaxation functions

Rounded stretched exponential for time relaxation functions

Ionic Mobilities at Infinite Dilution: Structural Aspects

Interaction induced contributions to the far infrared spectrum of a polar fluid: Zeroth and second spectral moments

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