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胶体粒子Boltzmann分布对测试结果产生的误差分析

Error Analysis of Boltzmann Distribution of Colloidal Particles in Measurement
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摘要 胶体粒子是自然科学中一类非常重要的研究对象。由于重力势场的作用,胶体粒子并不是均匀分布的(假设为Boltzmann分布)。为了考察Boltzmann分布对测试结果产生的影响,通过理论计算讨论了3种粒径(20nm、50nm、100nm)的二氧化硅在重力势场作用下的Boltzmann分布,即浓度随高度的变化,并与平均浓度相比较。结果表明,粒子越大,重力势场对粒子分布的影响越大,对测试结果产生的误差也越大。最后,通过理论计算指出合理选择粒子种类和粒子大小,可以降低Boltzmann分布对测试结果产生的影响。 Colloidal particles are a very important research object in natural science.Due to the effect of gravitational potential field,colloidal particles are not uniformly distributed(assuming Boltzmann distribution).In order to investigate the influence of Boltzmann distribution on the test results,the Boltzmann distribution of silica with three particle sizes(20nm,50nm and 100nm)under the effect of gravitational potential field is discussed by theoretical calculation,that is,the variation of concentration with height,and compared with the average concentration.The results show that the larger the particle,the greater the influence of gravity potential field on particle distribution,and the greater the error of test results.Finally,through theoretical calculation,this paper points out that reasonable selection of particle type and particle size can reduce the influence of Boltzmann distribution on the test results.
作者 张孝进 戴煜 夏帆 ZHANG Xiao-Jin;DAI Yu;XIA Fan(Faculty of Materials Science and Chemistry,China University of Geosciences,Wuhan 430074,China)
出处 《化学教育(中英文)》 CAS 北大核心 2022年第12期121-123,共3页 Chinese Journal of Chemical Education
关键词 胶体粒子 Boltzmann分布 重力 误差分析 colloidal particles Boltzmann distribution gravity error analysis
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