Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data

Yubai Liu; Zhiyuan Yu; Thomas Pelster; Ting-Tai Lee; Yujun Wang; Guangsheng Luo

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Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data

Materials and Product Engineering | Updated：2026-01-06

- Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data
- Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data
- 中国化学工程学报（英文版） 2022年50卷第10期页码：379-388
- Affiliations：
  
  1. State Key Lab of Chemical Engineering, Department of Chemical Engineering, Tsinghua University,Beijing,China,100084
  2. Evonik Operations GmbH, Brühler Straße 2, Wesseling,Germany,50389
  3. Evonik Specialty Chemicals (Shanghai) Co., Ltd.,Shanghai,China,201108
- Author bio：
- Funds：
- DOI：
  中图分类号：
- 纸质出版：2022
- Accepted：
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Yubai Liu, Zhiyuan Yu, Thomas Pelster, 等. Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data[J]. 中国化学工程学报（英文版）, 2022,50(10):379-388.

Yubai Liu, Zhiyuan Yu, Thomas Pelster, Ting-Tai Lee, Yujun Wang, Guangsheng Luo. Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data[J]. Chinese Journal of Chemical Engineering, 2022, 50(10): 379-388.
Yubai Liu, Zhiyuan Yu, Thomas Pelster, 等. Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data[J]. 中国化学工程学报（英文版）, 2022,50(10):379-388. DOI：

Yubai Liu, Zhiyuan Yu, Thomas Pelster, Ting-Tai Lee, Yujun Wang, Guangsheng Luo. Establishment of nucleation and growth model of silica nanostructured particles and comparison with experimental data[J]. Chinese Journal of Chemical Engineering, 2022, 50(10): 379-388. DOI：

摘要

Abstract

A mathematical model is developed for the calculation of the nucleation and growth process of silica nanostructured particles prepared by using the drop-by-drop method

and the calculation results of the proposed model is compared with the experimental value obtained from SAXS data. The model provides a non-ideal improvement in the supersaturation calculation and considers the impact of both mass transfer and surface reaction on the particle growth rate. The nucleation and growth rates are coupled depending on the change in monomer concentration over time

based on which the particle size and distribution are calculated. The growth curve of the silica particles from 3 nm to 20 nm and the change in particle number from 0 to over 10

are calculated

which are consistent with the experimental values

establishing the reliability of the model. The calculations of the growth rate reveal that mass transfer controls the growth of silica particles before 10 min and the surface reaction is the rate-determining step after 10 min. The changes in the model parameters obtained by fitting with the SAXS data under different reaction conditions indicate the sensitivity of the c

orresponding process to different conditions. Moreover

the relationship between the particle growth rate and monomer concentration change is analyzed using the proposed model.

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