نتایج جستجو برای: debye hückel equation

تعداد نتایج: 232701  

2011
Alfred Huber

Recently we introduced a nonlinear partial differential equation (nPDE) of the third order for the first time. This new model equation allows the extension of the Debye-Hückel Theory (DHT) considering time dependence explicitly. This also leads to a new formulation in the meaning of the nonlinear Poisson-Boltzmann Equation (nPBE) and therefore we call it the modified PoissonBoltzmann Equation (...

2015
D. A. Chapman J. Vorberger L. B. Fletcher R. A. Baggott L. Divol T. Döppner R. W. Falcone S. H. Glenzer G. Gregori T. M. Guymer A. L. Kritcher O. L. Landen T. Ma A. E. Pak D. O. Gericke

A key component for the description of charged particle systems is the screening of the Coulomb interaction between charge carriers. First investigated in the 1920s by Debye and Hückel for electrolytes, charge screening is important for determining the structural and transport properties of matter as diverse as astrophysical and laboratory plasmas, nuclear matter such as quark-gluon plasmas, el...

Journal: :The Journal of chemical physics 2009
Xueyu Song

Motivated by our recent proposition on the possibility of using dielectric continuum models to interpret experimental measurements of solvation dynamics in room temperature ionic liquids [J. Phys. Chem. A 110, 8623 (2006)], some detailed simulation studies are performed to test the validity of our proposition. From these simulation studies, it seems to be justified that an extended Debye-Hückel...

2017
Tiejun Xiao Xueyu Song

In this report, a molecular Debye-Hückel theory for ionic fluids is developed. Starting from the macroscopic Maxwell equations for bulk systems, the dispersion relation leads to a generalized Debye-Hückel theory which is related to the dressed ion theory in the static case. Due to the multi-pole structure of dielectric function of ionic fluids, the electric potential around a single ion has a m...

Journal: :Journal of Molecular Liquids 2022

• The original equation derived by Hückel is not the common cited in literature Born term included of A concentration-dependent relative permittivity considered In this work we present Hückel’s derivation and considerations, verifying approximations that were done his paper. More complex equations are obtained applying some approximations, these compared to equation. We explore use both a linea...

2017
Bjørn Maribo-Mogensen Georgios M. Kontogeorgis Kaj Thomsen

The thermodynamics of electrolyte solutions has been investigated by many scientists throughout the last century. While several theories have been presented, the most popular models for the electrostatic interactions are based on the Debye− Hückel and mean spherical approximation (MSA) theories. In this paper we investigate the differences between the Debye− Hückel and the MSA theories, and com...

Journal: :The Journal of chemical physics 2011
Adrian W Lange John M Herbert

We propose a Debye-Hückel-like screening model (DESMO) that generalizes the familiar conductor-like screening model (COSMO) to solvents with non-zero ionic strength and furthermore provides a numerical generalization of the Debye-Hückel model that is applicable to non-spherical solute cavities. The numerical implementation of DESMO is based upon the switching/Gaussian (SWIG) method for smooth c...

1999
David C. Brydges

Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system – Debye-Hückel screening – is compared and contrasted with the quantum case where strong arguments are presented for the absence of exponential screening. Results and techniques for detail...

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