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本文根据大量的实验数据和色谱理论，提出了P507-RECL3-HCL体系萃取色谱法分离稀土元素时峰宽W的数学模型。研究发现，影响峰宽的因素有树脂床高度H、柱截面积S、洗脱酸酸度C、进料量Q及树脂中P507百分含量P。本文综合影响峰宽的各种因素，提出峰宽的模型，利用参数设计法原理，对三种稀土元素Gd、Tb、Dy模型进行参数识别，检验结果表明，本文所建立的数学模型基本揭示各种因素对峰宽影响的规律。本文建立的峰宽W的数学模型（温度为50℃，线速度为1cm／min）为：当Q＜0．04％时，W＝KaHKhSKsPKp／CKc；当0．04＜Q＜1．5％时，W＝KaHKhSKsPKp／CKc＋K1Q-K2Q2。其中Kh＝0．04％、Ks＝0．9125、Kp＝0．65，Ka、K1、K2为随元素种类变化的常数。如要建立某元素的W模型，只需根据该元素的实验数据，对参数Ka、Kc、K1、K2进行估值，即可求得该元素准确性较高的W模型，用该模型能直接计算此元素在不同条件下的峰宽值。利用本文建立的W数学模型，结合已报道的保留作积Vr数学模型，可通过计算判断稀土元素的分离效果。
In this paper, based on a large number of experimental data and chromatographic theory, a mathematical model for the peak width W of P507-RECL3-HCL system for extraction of rare earth elements is proposed. The study found that the factors affecting the peak width of the resin bed height H, column cross-sectional area S, elution acidity C, the amount of feed Q and P507 P resin percentage. Based on the various factors that influence the width of the peak, a model of peak width is proposed. By using the principle of parametric design, the parameters of three kinds of rare earth elements Gd, Tb and Dy are identified. The test results show that the mathematical model established in this paper basically reveals The Influence of Various Factors on Peak Width. The mathematical model of peak width W (temperature is 50 ℃ and linear speed is 1cm / min) established in this paper is: W = KaHKhSKsPKp / CKc when Q <0.04%; when 0.04