Abstract
We have calculated the impurity distribution in a spherical material during sublimation. The solutions found depend on two dimensionless parameters: separation factor β and diffusional Peclet number Pe = wR 0/(ρ1 D), where w is the mass vaporization rate, R 0 is the initial sphere radius, ρ1 is the density of the material, and D is the impurity diffusion coefficient. For the limiting cases Pe ≫ 1 and Pe < 1, we derived analytical expressions for the impurity distribution in the subliming material and for the average impurity concentrations in the residue and condensate as functions of time t or the degree of sublimation g(t). The present results can be used to optimize the dimensions of subliming materials and sublimation conditions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Melikhov, I.V. and Berdonosov, S.S., Desublimation approach to the preparation of pure substances, Vysokochist. Veshchestva, 1991, no. 6, pp. 64–69.
Kravchenko, A.I., Relationship between effective and ideal separation factors for distillation and sublimation, Inorg. Mater., 2016, vol. 52, no. 4, pp. 378–385. doi 10.1134/S00201685160400993.
Kovtun, G.P., Kravchenko, A.I., and Shcherban’, A.P, Chromium refining by vacuum heating and sublimation, Inorg. Mater., 1998, vol. 34, no. 7, pp. 678–682.
Boyarskii, L.A., Blinov, A.G., Chistyakov, O.D., Kol’chugina, I.B., and Berezovskii, G.A., Preparation and magnetic properties of high-purity thulium and erbium, Vysokochist. Veshchestva, 1988, no. 4, pp. 16–25.
Ionov, A.M., Nikiforova, T.V., and Rytus, N.N., Aspects of the purification of volatile rare earth metals by UHV sublimation: Sm, Eu, Tm, Yb, Vacuum, 1996, vol. 47, nos. 6–8, pp. 879–893.
Nikiforova, T.V., Volkov, V.T., and Niselson, L.A., Magnesium purification by vacuum distillation, Vysokochist. Veshchestva, 1987, no. 6, pp. 107–111.
Papirov, I.I., Kravchenko, A.I., Shiyan, A.V., and Mazin, A.I., Removal of low-volatile impurities from magnesium by sublimation, Inorg. Mater., 2014, vol. 50, no. 5, pp. 452–454. doi 10.1134/S00201685140501488.
Papirov, I.I., Kravchenko, A.I., Mazin, A.I., Shiyan, A.V., and Virich, V.D., Impurity distribution in a magnesium sublimate, Inorg. Mater., 2015, vol. 51, no. 6, pp. 563–565. doi 10.1134/S00201685150601269.
Papirov, I.I., Kravchenko, A.I., Mazin, A.I., Shiyan, A.V., and Virich, V.D., Impurity distribution in magnesium sublimates, Probl. At. Sci. Technol., 2016, no. 1, pp. 21–22. http://vant.kipt.kharkov.ua.
Kravchenko, A.I., Equations of distillation at low impurity concentrations, Vopr. At. Nauki Tekh., Ser.: Yad.- Fiz. Issled. (Teor. Eksp.), 1990, no. 1 (9), pp. 29–30.
Bokshtein, B.S., Atomy bluzhdayut po kristallu (Atoms Wander about a Crystal), Moscow: Nauka, 1984.
Devyatykh, G.G. and Filimonov, I.V., Preparation of high-purity fluorides for fiber optics, Vysokochist. Veshchestva, 1989, no. 5, pp. 35–42.
Kirillov, Yu.P., Kuznetsov, L.A., Shaposhnikov, V.A., and Churbanov, M.F., Effect of diffusion on the purification of substances by distillation, Inorg. Mater., 2015, vol. 51, no. 11, pp. 1092–1096. doi 10.1134/S0020168515100088
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.I. Zhukov, A.I. Kravchenko, 2017, published in Neorganicheskie Materialy, 2017, Vol. 53, No. 6, pp. 662–668.
Rights and permissions
About this article
Cite this article
Zhukov, A.I., Kravchenko, A.I. Calculation of sublimation with allowance for impurity diffusion. Inorg Mater 53, 648–653 (2017). https://doi.org/10.1134/S0020168517060164
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0020168517060164