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Evolution of the Enrichment Factor for an Iterative Scheme of Zirconium Isotopes Separation

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Abstract

In this paper evolution of the enrichment factor for zirconium isotopes separation by the laser assisted retardation of condensation has been found for specific choice of iterative policy of isotopes recovery. It has been evaluated for a set of gas flow temperatures, corresponding to its maximal value, provided all values of other important parameters of the system such as gas flow pressure, target gas molar fraction, laser intensity, laser beam radius, irradiation chamber length, and nozzle throat height are fixed. Enrichment factor has been found by solving a set of transport equations for molar fractions of four characteristic groups represented in the gas flow (monomers, dimers, excited monomers, and epithermals) in a static approximation on each iteration.

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Notes

  1. Isotopologues of the same chemical species have at least one atom with a different number of neutrons.

  2. According to [9], this formula is mostly adequate for symmetric molecules such as \(QY_{6}\) and \(QY_{4}\).

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Funding

The study in Secs. III, IV was supported by the Russian Science Foundation under Project no. 17-11-01388 and performed in Steklov Mathematical Institute of Russian Academy of Sciences. The rest was performed in the National University of Science and Technology MISIS within the project nos. 1.669.2016/1.4 and 0718-2020-0025 of the Russian Ministry of Science and Higher Education.

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Correspondence to K. A. Lyakhov or A. N. Pechen.

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(Submitted by S. A. Grigoryan)

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Lyakhov, K.A., Pechen, A.N. Evolution of the Enrichment Factor for an Iterative Scheme of Zirconium Isotopes Separation. Lobachevskii J Math 41, 2345–2352 (2020). https://doi.org/10.1134/S1995080220120252

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  • DOI: https://doi.org/10.1134/S1995080220120252

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