Optimization criterion for two-stage counter-current cascade for Molybdenum isotopes separation by the method of laser-assisted retardation of condensation (SILARC)

The application of the method of laser-assisted retardation of condensation has been considered for molybdenum isotope separation. Enrichment factor as a function of pressure and temperature of gas flow cold-core have been evaluated. Since the maximal value of the enrichment factor is not high ($\sim1.8 $), to achieve desired enrichment level in products an iterative procedure is applied. To reduce the amount of wastes and increase the performance of the SILARC method, two-stage counter-current cascade is considered. Relations between the molar and isotopic fractions of target isotopologues on the first and second stages of the cascade at each iteration are found. The optimization problem is formulated to evaluate optimal physical parameters of this cascade.