Determination of Nonlinear Parameters Included in Rate Equations by Taylor's Differential Correction Method Uranium isotope exchange between UF{sub}6 and UF{sub}5

摘要

Rate equations are derived for the uranium isotope exchange between UF{sub}6 and UF{sub}5 by assuming that the underlying UF{sub}5 molecules to participate the reaction and yet the number of UF{sub}5 molecules on the particle surfaces remains unchanged with time. The numerical method is given for the determination of reaction parameters included nonlinearly in the rate equations based on this model. The method applies to the cases where the observed quantities must be related to their numerical solutions. A remarkable agreement is found between the UF{sub}5 particle sizes estimated from the reaction parameter and from the direct observation by an electron microscope. The rate equation derived in this study shows a similar trend to the previous model of limited participation of the outermost layer having two different reactivities.