光子学报, 2017, 46 (2): 0229001, 网络出版: 2017-02-23
双峰分布颗粒体系的多角度动态光散射数据反演
Recovery of Bimodal Particle Size Distributions with Multiangle Dynamic Light Scattering
动态光散射 粒度分布 加权约束正则化 峰值位置比 吉洪诺夫正则化 Dynamic light scattering Particle size distribution Weighted constrained regularization Peak position ratio Tikhonov constrained regularization
摘要
采用多角度动态光散射和加权正则化反演方法, 对4组模拟的双峰分布颗粒体系(100/600 nm, 200/600 nm, 300/600 nm和350/600 nm)分别选取1、3、6和10个散射角进行测量.粒度反演结果表明, 采用加权正则化方法反演双峰颗粒体系的多角度动态光散射测量数据, 可获得峰值位置比小于2∶1且含有大粒径(>350 nm)颗粒的双峰颗粒粒度分布.采用标准聚苯乙烯乳胶颗粒进行实测的结果验证了这一结论.得到含大粒径颗粒的双峰粒度分布反演结果的原因在于, 多角度动态光散射能提供更多的大粒径颗粒的粒度信息, 加权正则化反演方法能减少测量数据中的噪声, 因而多角度动态光散射测量数据的加权反演能实现峰值位置比小于2∶1且含有大粒径颗粒的双峰颗粒体系的测量.
Abstract
By using the multi-angle dynamic light scattering measurement and the weighted constrained regularization method, the four groups simulated particle systems with bimodal distribution(100/600 nm, 200/600 nm, 300/600 nm, 350/600 nm) were measured by selecting one, three, six and ten scattering angles respectively. The results of inversion of size distribution show that, by using the weighted constrained regularization method to inverse the multi-angle dynamic light scattering data of the particle systems with bimodal distribution, the bimodal particle size distributions with a peak position ratio less than 2∶1 and containing large particles(>350 nm) can be attained. This conclusion was verified by the measurement results of the standard polystyrene latex particles. The reason to attain the bimodal particle size distributions of the large particles is that, the multi-angle dynamic light scattering can provide more particle size information of large particles, the weighted constrained regularization inversion method can reduce the noise of the measurement data. Therefore, the weighted inversion of the multi-angle dynamic light scattering measurement data can achieve the measurement of the bimodal particle systems with a peak position ratio less than 2∶1 and containing large particles.
徐敏, 申晋, 朱新军, THOMAS John C, CLEMENTI Luis A, VEGA Jorge R. 双峰分布颗粒体系的多角度动态光散射数据反演[J]. 光子学报, 2017, 46(2): 0229001. XU Min, SHEN Jin, ZHU Xin-jun, THOMAS John C, CLEMENTI Luis A, VEGA Jorge R. Recovery of Bimodal Particle Size Distributions with Multiangle Dynamic Light Scattering[J]. ACTA PHOTONICA SINICA, 2017, 46(2): 0229001.