Abstract How to quantitatively design the loading time and amount of seed is a critical problem in the seeded crystallization process. In this study, correlations for different moment of crystal size distribution (CSD) function were established by subsection induction. By using the established different moment of CSD function, a new algorithm for kinetic model that can estimate the nucleation and growth kinetic parameters was proposed. Compared with kinetic model based on the conventional moments method, the new algorithm has a great significance since the overall heat transfer coefficient U is no longer necessary in the entire calculation. Using experimental data from literature, kinetic parameters of crystallization of KNO3 aqueous solution and xylene solution were estimated by the new algorithm, which are in good accordance with those fitting with moments method. This agreement shows the feasibility of the new algorithm. Finally, since it is difficult to measure transmittance data r of some systems, a criterion K that can identify nucleation and crystal growth stages without transmittance data was established. By means of the K curve of para-xylene (PX) and vitamin C, which is based on kinetic simulation results from the new algorithm and different moment of CSD function established by subsection induction, the single step seed load and two steps seed load were designed, respectively.

中文翻译：

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基于无透光率数据的成核和晶体生长阶段模型识别的种子负载定量设计

摘要 如何定量设计晶种的加载时间和量是晶种结晶过程中的关键问题。在这项研究中，通过分段归纳建立了不同矩的晶体尺寸分布 (CSD) 函数的相关性。利用建立的CSD函数的不同矩，提出了一种新的动力学模型算法，可以估计成核和生长动力学参数。与基于常规矩法的动力学模型相比，新算法在整个计算中不再需要整体传热系数U，具有重要意义。利用文献中的实验数据，通过新算法估算了KNO3水溶液和二甲苯溶液结晶的动力学参数，与矩量法拟合良好。该协议显示了新算法的可行性。最后，由于某些系统的透射率数据 r 难以测量，因此建立了无需透射率数据即可识别成核和晶体生长阶段的判据 K。通过对二甲苯（PX）和维生素C的K曲线，基于新算法的动力学模拟结果和分段归纳建立的CSD函数的不同矩，单步种子加载和两步种子加载分别设计。建立了无需透射率数据即可识别成核和晶体生长阶段的标准 K。通过对二甲苯（PX）和维生素C的K曲线，基于新算法的动力学模拟结果和分段归纳建立的CSD函数的不同矩，单步种子加载和两步种子加载分别设计。建立了无需透射率数据即可识别成核和晶体生长阶段的标准 K。通过对二甲苯（PX）和维生素C的K曲线，基于新算法的动力学模拟结果和分段感应建立的CSD函数的不同矩，单步种子载荷和两步种子载荷是分别设计。