The status of the theory of isotope mixture separation in cascades is presented. The problems that limit the concept of an ideal cascade in the case of separation of binary mixtures and arbitrary separation factors at cascade stages are discussed. A new type of separating cascades which have a total flow less than the flow of the corresponding ideal cascade is presented. Furthermore, these “optimum” cascades may permit mixing concentrations and still produce higher cascade separative work. In the paper, a criterion to define efficiency for the separation of multi-isotope mixtures is analyzed. The analysis is based on the concept of the match-abundance ratio cascade (MARC). The approach has demonstrated that in order to obtain the optimum parameters of a single stage in a cascade it is necessary to minimize the linear combination of the inverse values of “partial separative powers” for all mixture components.
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