Least Square and Gauss Jordan Methods applied to fit the Dielectric data Vs. Concentration of Ionic Liquids

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Author(s) Rajendra Padidhapu | Shahnaz Bathul | V.Brahmajirao
Pages 60-70
Volume 2
Issue 1
Date January, 2013
Keywords Dielectric constant, Ionic liquids, Electrolyte solution, Gauss Jordan Method, Curve fitting, Pitzer’s model, Ion-Solvent-Ion interactions, Eigen’s Mechanism.
Abstract

Ionic liquids are not only prominent for life but also important in chemical and biological industry. Starting from Debye-Huckel theory of electrolytes, a rich progress in theoretical and experimental studies was made over the past hundred years. K.S.Pitzer developed a set of equations for six coefficients on the basis of virial theorem and Statistical thermodynamics , starting from the Debye-Huckel model .He adopted calculations of Guggenheim ,with the modification of Scatchard ,Hammer and Bronsted to incorporate specific interactions, for electrolytic state ,in which terms related to short range forces between ions were partly accounted. However the very significant lowering of Dielectric constant of solvent continuum on addition of electrolyte, as modeled by Glueckauff was not considered in their work. We report a better & more general method of possible correction starting with the dielectric data of Brahmajirao, P.S.K.M.Rao and Sastry by using Least Square and Gauss Jordan Technique for the dielectric property is accounted in this presentation, because it is an essential characteristic that governs the ion-ion, ion-solvent interactions. It is now realized by several authors that this property forms the crux of explanation, in many interesting results, like Eigen and Tamm’s mechanism. The details of the method, including the program in ‘C’ language used in our attempt are furnished in this paper .An attempt to interpret the nature of the involved coefficients is made.

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