作者：张国强1, 赵鸣1, 张丽娟2, 盖国胜3, 姜涛4
作者单位：1. 太原理工大学矿业工程学院, 山西 太原 030024;
2. 北京海林节能科技股份有限公司, 北京 102206;
3. 清华大学材料学院, 北京 100084;
4. 淄博清大粉体材料工程有限公司, 山东 淄博 255000
关键词：粒度测试;激光散射法;Mie理论;复折射率
摘要：
针对目前市面上激光粒度仪品牌、型号众多，但激光粒度测试结果差异较大的现象，以清华大学研制的球形石英粉标准样品为测试样品，使用不同厂家的激光粒度仪，通过激光散射法，对比不同复折射率下的检测结果，探究激光粒度测试结果的影响因素。研究发现，针对同种样品、不同厂家的激光粒度仪检测结果偏差较大。折射率与吸收率对粒度检测结果有较大影响，折射率的影响比吸收率的影响大，但随着吸收率增大可以逐渐抵消折射率的变化给粒度检测结果带来的波动，使检测结果趋于稳定。通过寻找拟合残差与粒度检测结果之间的变化规律，发现残差值越小，理论散射光强与实际检测光强的偏差越小，检测结果越趋于一个较稳定的值，但对比发现目前激光粒度测试用户根据残差值判断待测样品折射率的方法并没有可靠的依据。通过比较不同样品的最小残差值，发现同种样品的不同粒度区间对应的折射率与吸收率不同，从而证明粒度检测行业内以每种物质固定的折射率和吸收率来进行粒度测试的方法缺乏实际依据。
Analysis of influencing factors on laser particle size measurement
ZHANG Guoqiang1, ZHAO Ming1, ZHANG Lijuan2, GAI Guosheng3, JIANG Tao4
1. College of Mining Technology, Taiyuan University of Technology, Taiyuan 030024, China;
2. Beijing Hailin Energy Saving Technology Inc., Beijing 102206, China;
3. School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China;
4. Zibo Qingda Powder Material Engineering Co., Ltd., Zibo 255000, China
Abstract: In view of the numerous brands and models of laser particle size analyzer that have large discrepancies in laser particle size measuring results, the spherical quartz powder standard sample developed by the Tsinghua University is taken as the test sample which is tested with laser particle size analyzers from different manufacturers by means of laser scattering method so as to compare the measuring results with different complex refractive index and explore the influential factors of laser particle size test results. According to the research findings, against same type of sample, there are discrepancies in measuring results obtained by laser particle size analyzers made by different manufacturers. The particle size measuring results are greatly affected by the refractive index and absorption rate. The refractive index is more influential to the measurement. However, with the increase of the absorption rate, the fluctuation of testing results caused by the changes of refractive index can be gradually neutralized, making the measuring results tend to be stable. By seeking for the varying pattern between the fitting residual error and particle size measuring results, it is noted that the smaller the residual value are, the smaller the deviation between the theoretical scattering light intensity and the actual detection light intensity are, and the results tend to be a more stable value. However, it is also found through comparison that the method of measuring the refractive index of the sample to be tested according to the residual value is not reliable. By comparing the minimum residual values of different samples, the refractive index and absorption rate of different particle sizes of the same sample are found to be different. Thus, it is proved that the method of particle size measurement based on the refractive index and absorption rate of each material is lack of practical basis in the area of particle size measurement.
Keywords: particle size measurement;laser scattering method;Mie theory;complex refractive index
2017, 43(3): 24-29 收稿日期: 2016-09-20;收到修改稿日期: 2016-11-03
基金项目: 全国标准样品技术委员会标准样品研制项目（S2014125）
作者简介: 张国强(1991-),男,山西大同市人,硕士研究生,专业方向为矿物加工工程。
参考文献
[1] 谭和平,侯晓妮,孙登峰,等. 纳米材料的表征与测试方法[J]. 中国测试,2013,39(1):8-12.
[2] 孙昕. 基于Mie散射理论测量微小球粒粒径的数值模拟及实验研究[D]. 天津:天津大学,2004.
[3] XU W X, CHEN H S. Numerical investigation of effect of particle shape and particle size distribution on fresh cement paste microstructure via random sequential packing of dodecahedral cement particles[J]. Computers & Structures,2013,114-115(2):35-45.
[4] 张军,宋守志,盖国胜. 高纯超细电子级球形石英粉研究[J]. 电子元件与材料,2004,23(1):48-51.
[5] 曹宇,孙仕忠,周建民,等. 球形石英粉的制备方法及性能表征[J]. 建材世界,2009,30(4):27-30.
[6] 耿淑华,丁伟中,郭曙强. 激光粒度分析中颗粒折射率的确定方法[J]. 上海金属,2014,36(2):1-4.
[7] 彭进强. 激光散射法中折射率对粒度结果的影响[J]. 现代陶瓷技术,1997:39-40.
[8] 徐峰,蔡小舒,赵志军,等. 光散射粒度测量中采用Mie理论或Fraunhofer衍射理论的讨论[J]. 中国粉体技术,2003,9(1):1-6.
[9] 葛宝臻,潘林超,张福根,等. 颗粒散射光能分布的反常移动及其对粒度分析的影响[J]. 光学学报,2013,33(6):062901.
[10] 李俊峰,丁岳伟,徐峰,等. 颗粒层状结构对散射特性及激光粒度测量的影响[J]. 中国粉体技术,2004,2(1):1-3.
[11] 周雯,曹文熙,李彩. 海水中矿物质颗粒吸收和散射特性Mie理论分析[J]. 热带海洋学报,2008,27(1):22-26.
[12] 旦辉,丁艺,林金辉. 粉石英制备高纯球形纳米SiO2[J]. 矿产综合利用,2012(5):35-38.
[13] 徐明艳,李艳玲,李慧萍,等. 激光粒度仪测试金刚石微粉粒度组成的实验研究[J]. 金刚石与磨料磨具工程,2013,33(1):79-82.
