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The influence of impurities on the crystal growth kinetics according to a competitive adsorption model

机译：根据竞争吸附模型，杂质对晶体生长动力学的影响

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摘要

A mathematical model describing the growth of crystals in impure solutions is presented. Evidence of competitive surface adsorption involving the crystallizing solute and impurities is discussed in terms of the adsorption isotherm in equilibrium and of the mechanism of occupation of active sites for growth. The impurity effect on crystal growth rates is characterized by the Langmuir adsorption constants and by the parameter, measuring the ability of the foreign species to move across the surface and occupy a stable position at the surface steps. Experimental growth rate data taken from the literature is used to test the proposed competitive adsorption model (CAM). The reported effects of the impurity concentration on the crystal growth rate at constant supersaturation are quantitatively described. Additionally, growth rate curves obtained in pure and impure solutions are used to investigate the influence of supersaturation on the relative growth rates. In all the examples considered, the CAM adequately describes the experimental data. An application example is given using the crystal growth rates of sucrose measured in a pilot evaporative crystallizer at different impurity concentrations. The kinetic effect of nonsucrose compounds existing in cane sugar solutions is characterized by estimating the average CAM parameters.
机译：提出了描述不纯溶液中晶体生长的数学模型。讨论了涉及结晶溶质和杂质的竞争性表面吸附的证据，包括平衡时的吸附等温线以及生长中活性位点的占据机理。杂质对晶体生长速率的影响由朗缪尔（Langmuir）吸附常数和参数确定，该参数可测量异物在整个表面上移动并在表面台阶处占据稳定位置的能力。从文献中获得的实验增长率数据用于测试提出的竞争性吸附模型（CAM）。定量描述了恒定过饱和状态下杂质浓度对晶体生长速率的影响。此外，在纯溶液和不纯溶液中获得的生长速率曲线用于研究过饱和对相对生长速率的影响。在所考虑的所有示例中，CAM都能充分描述实验数据。使用在不同杂质浓度下的中试蒸发结晶器中测得的蔗糖晶体生长速率给出了一个应用实例。蔗糖溶液中存在的非蔗糖化合物的动力学效应是通过估算平均CAM参数来表征的。

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