Abstract
A mathematical model for the distribution of isotopic concentration in a displacement chromatogram is derived starting from a simple concept that the chromatographic movement of species can be expressed as the sum of the movement caused by the external forces and the movement caused by the internal concentration gradient. The theoretical equation is combined with appropriate material balance to develop a set of equations which relate the size, production, and start-up time of the chromatographic separation equipment to the degree of isotope enrichment. These equations are easy to use and require a minimum of empirical data. The model incorporates a series of simplifying assumptions which are valid for displacement chromatography where the isotopic separation coefficient is small and the degree of enrichment accomplished in a single column is not very high. The model is applied to estimate isotope separation power for the cases of boron and uranium isotope separation.

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