Abstract—

For an impurity with a separation factor β < 1, we compare calculated average impurity concentrations (C_n/C₁) in products of multiple- and single-cycle distillation or directional solidification refining processes with a preset final yield. The n-fold process with a yield g in each cycle and a final yield G = gⁿ is shown to be more efficient than a single-cycle process with the same final yield G. Each new cycle of the process is less efficient than the preceding one. At a given G, the relative efficiency of the n-fold process rises with an increase in the deviation of β < 1 from unity and with increasing n (with the corresponding increase in g = G^1/n). Examples are presented of C_n/C₁ calculation at high values of G.

中文翻译：

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预设产量的多次蒸馏或结晶提纯的效率

摘要—

对于分离因子β<1的杂质，我们比较了多循环和单循环蒸馏或定向凝固精制过程的产物中具有预设最终收率的计算出的平均杂质浓度（C _n / C ₁）。所述Ñ与产量倍过程克在每个循环和最终产率ģ =克^Ñ被示出为比具有相同的最终收率单周期过程更有效ģ。该过程的每个新周期都比前一个周期效率低。在给定的G下，n的相对效率β乘以1的单位偏差的增加和n的增加（与g的相应增加= G ^{1 / n}）一起增加了倍数过程。给出了在高G值下C _n / C ₁计算的示例。