Browsing by Author "Sheppard, John G."
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Item New Three-parameter Empirical Extension of the Arrhenius Equation suitable for the Precise Evaluation of Pseudo- thermodynamic Activation Parameters in Chemical Kinetics(Journal of the Chemical Society : Faraday Transaction - I. The Chemical Society, London. 1978, 74 (06), 1978) Adams, Paul A.; Sheppard, John G.; Ridler, Gweneth M.; Ridler, Philip F.An empirical extension of the logarithmic form of the classical Arrhenius equation is written as a simple three-parameter equation which fits precise experimental data on the variation of rate-constant with temperature better than any three-parameter extension of the Arrhenius equation yet proposed. The proposed equation has been compared with the three and four parameter equations of Hyne and Robertson for a series of sets of rate-constant against temperature data on solvolysis systems. The equation proposed here is simpler to apply, and provides at least as good a statistical fit to the data as does the three-parameter equation of Hyne and Robertson.Item Series Methods in the Analysis of Kinetic Data for Chemical Systems(Journal of the Chemical Society : Faraday Transaction - I. The Chemical Society, London. 1974, 70 (1-6), 1974) Adams, Paul A.; Sheppard, John G.Application of series methods to the evaluation of rate coefficients has been considered for reactions in which explicit integration of the system of dependent differential equations is impossible The approximation of explicit integrals for such systems is considered, and a detailed study of the system: [graphic omitted] X1→X2, [graphic omitted] X1+ X2→X3 carried out using simulation techniques. Methods of analysing rate data for the above system are considered in detail, and it is shown that series methods provide precise methods for the estimation of both k1 and k2 in the above system.