The cloud point extraction experiments of La(III) ions using the C₁₃E₁₀ as non-ionic surfactant were carried out. The experimental optimization was realized by the classical method when optimizing one experimental factor at the time. The results showed that the La(III) ions were extracted at 61.77% and stripped from the loaded coacervate phase at 90.26% in one-stage with the nitric acid solution of 10⁻¹ M. The most influent experimental factors such as: initial concentration of feed phase (A), C₁₃E₁₀ concentration (B), quantity of sodium chloride salt (C) and pH of aqueous feed solution (D) were studied by the Taguchi’s DOE methodology using an orthogonal array L₉ (3^4). Statistical study based on the ANOM and ANOVA analysis showed that the factor D constituted a noise and the levels optimum combination for the maximum extraction yield of La(III) was at: C₀ = 150 ppm and [C₁₃E₁₀] = 15% w/w without the add salt. These results were refined by using the Design-Expert 7 software where the predicted extraction yield of La(III) was in good agreement with that obtained experimentally (62.88% against of 61.77%), in which the standard deviation was of 1.81%.

使用C ₁₃ E ₁₀作为非离子表面活性剂进行La（III）离子的浊点萃取实验。当优化一个实验因子时，通过经典方法实现了实验优化。结果表明，在10 ^-1 M的硝酸溶液中，La（III）离子的萃取率为61.77％，并从载有凝聚层的相中以90.26％的比例汽提。最有影响的实验因素如：初始浓度Taguchi's DOE方法使用正交阵列L ₉研究进料相（A）的组成，C ₁₃ E ₁₀浓度（B），氯化钠盐的量（C）和进料水溶液的pH（D）。（3 ^ 4）。基于ANOM和ANOVA分析的统计研究表明，因子D构成噪声，La（III）的最大提取率的最佳组合水平为：C ₀  = 150 ppm和[C ₁₃ E ₁₀ ] = 15％不加盐的w / w。通过使用Design-Expert 7软件对这些结果进行了完善，其中La（III）的预计提取率与实验获得的结果（62.88％对61.77％）非常吻合，其标准偏差为1.81％。