对利用动态光散射法测量颗粒粒径和液体黏度的改进

张颖; 郑宇; 何茂刚

doi:10.7498/aps.67.20180271

摘要

光散射技术通过测量悬浮液中布朗运动颗粒的平移扩散系数，得到颗粒流体力学直径或液体黏度.本文由单参数模型入手，建立了低颗粒浓度下，单颗粒平移扩散系数与颗粒集体平移扩散系数和颗粒浓度之间的线性依存关系并将其引入光散射法中，从而对现有的测量方法进行了改进.改进后的测量方法可实现纳米尺度球型颗粒标称直径的测量和液体黏度的绝对法测量.以聚苯乙烯颗粒+水和二氧化硅颗粒+乙醇两个分散系为参考样本，通过实验，验证了改进后方法的可行性.此外，还针对上述两个分散系，实验探讨了温度和颗粒浓度对颗粒集体平移扩散系数的影响规律，发现聚苯乙烯颗粒+水分散系中，颗粒间相互作用表现为引力；二氧化硅颗粒+乙醇分散系中，颗粒间相互作用表现为斥力.讨论了颗粒集体平移扩散系数随颗粒浓度变化规律与第二渗透维里系数的关系.

关键词:

Abstract

Dynamic light scattering (DLS) technology has been employed to measure the hydrodynamic diameter of particle and liquid viscosity by detecting the translational diffusion coefficient of Brownian particle in the suspending liquid.The interaction between the particles in the suspension may lead to unpredictable deviations when the Stokes-Einstein equation is applied directly in the measurement.In order to solve this problem,this paper deduced the Stokes-Einstein's equation and introduced the One-Parameter Models to modify the existing DLS measurement principle.Based on the One-Parameter Models,the linear relation of collective translational diffusion coefficient with the single-particle translational diffusion coefficient and particles concentration was established and verified by the measurement under low particle concentration,which was introduced in the DLS principle.The improved method was able to obtain the single-particle translational diffusion coefficient,then the problem caused by the change of particle size in the suspension was solved.Compared with previous methods,the improved method can be used to measure the nominal diameter of nanoscale spherical particles and absolutely detect liquid viscosity.The fundamental principle of detection by light scattering was explained and a DLS experimental system was established for the measurement of viscosity and particle size.The two dispersed systems of polystyrene particles+water and silica particles+alcohol were considered as the samples for reference and measured to verify the reasonability of the improved method presented in this work.In addition,the influence of temperature and particles concentration on the collective translational diffusion coefficient was detected for this two dispersed systems.The interaction between the particles in the suspension was analyzed based on the experimental results. In a two-component system composed of rigid particles and liquid,three types of force act on a particle,which included the “Brownian” force,the direct interactions between the particles and the hydrodynamic interactions.The combined effects of the three forces can be qualitatively described as attractive or repulsive.The collective translational diffusion coefficient of the particles in the suspension increases with the increase of the particle volume concentration,indicating that the force between the particles in the suspension is repulsive,and vice versa.In addition,it was confirmed that in the ideal thin suspension,the Brownian motion of the particles increases with the temperature increases.The experimental results indicated the attractive forces among the polystyrene particles in water and the repulsive force among the silica particles in alcohol.The relationship between the second osmotic virial coefficient and the law of particles' collective translational diffusion coefficient with particles concentration is discussed.

Keywords:

作者及机构信息

1.
西安交通大学, 热流科学与工程教育部重点实验室, 西安 710049

通信作者: 何茂刚, mghe@mail.xjtu.edu.cn

基金项目: 国家自然科学基金（批准号：51576161）和中央高校基本科研业务费专项资金（批准号：XJTU-GJQY-001）资助的课题.

Authors and contacts

1.
Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Corresponding author: He Mao-Gang, mghe@mail.xjtu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51576161) and the Fundamental Research Funds for the Central Universities of China (Grant No. XJTU-GJQY-001).

参考文献

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[4]	Foord R, Jaeger N D, Sneyers R, Geladé E 1992 Part. Part. Syst. Charact. 9 125
[5]	Foord R, Deriemaeker L, Jaeger N D, Sneyers R, Vanderdeelen J, Meeren Pvd, Demeyere H, Stone-Masu J, Haestier A, Clauwaert J, Wispelaere W D, Gillioen P, Steyfkens S, Geladé E 1992 Part. Part. Syst. Charact. 10 118
[6]	Krahn D I W, Luckas D I M, Lucas D I K 1988 Part. Part. Syst. Charact. 5 72
[7]	Phiilles G D H 1981 J. Phys. Chem. 85 2838
[8]	Saad H, Bae Y C, Gulari E 1988 Langmuir 1 63
[9]	Will S, Leipertz A 1993 Appl. Opt. 21 3913
[10]	Will S, Leipertz A 1995 Int. J. Thermophys. 2 433
[11]	Will S, Leipertz A 1997 Int. J. Thermophys. 6 1339
[12]	Will S, Leipertz A 1999 Int. J. Thermophys. 3 791
[13]	He F, Becker G W, Litowski J R, Narhi L O, Brems D N, Razinkov V I 2010 Anal. Biochem. 399 141
[14]	Amin S, Rega C A, Jankevics H 2012 Rheol. Acta 51 329
[15]	Wagner M, Reiche K, Blume A, Garidel P 2013 Pharm. Dev. Technol. 4 963
[16]	Kroner G, Fuchs H, Tatschl R, Glatter O 2003 Part. Part. Syst. Charact. 20 111
[17]	Yamaguchi T, Azuma Y, Okuyama K 2006 Part. Part. Syst. Charact. 23 188
[18]	Einstein A 1908 Z. Electrochem. 14 235
[19]	Finsy R, Devriese A, Lekkerkerker H 1980 J. Chem. Soc. Pakistan 76 767
[20]	Robert P 1985 Dynamic Light Scattering (New York and London: Plenum Press) pp85-179
[21]	Finsy R 1990 Part. Part. Syst. Charact. 7 74
[22]	Smidt J H D, Crommelin D J A 1991 Int. J. Pharmaceut. 77 261
[23]	Yang H, Zheng G, Li M C, Chen J B 2008 Acta Photo. Sin. 37 1539 (in Chinese) [杨晖, 郑刚, 李孟超, 陈家璧 2008 光子学报 37 1539]
[24]	Huber M L, Perkins R A, Laesecke A, Friend D G, Sengers J V, Assael M J, Metaxa I M, Vogel E, Mares R, Miyagawa K 2009 J. Phys. Chem. Ref. Data 38 101
[25]	Zhang S J, Li X, Chen H P, Wang J F, Zhang J M, Zhang M L 2004 J. Chem. Eng. Data 49 760
[26]	González B, Calvar N, Gómez E, Domínguez Á 2007 J. Chem. Thermodyn. 39 1578
[27]	Gong Y H, Shen C, Lu Y Z, Meng H, Li C X 2011 J. Chem. Eng. Data 57 33
[28]	Chen L X, Chen J Y, Song Z H, Cui G K, Xu Y J, Wang X H, Liu J 2015 J. Chem. Thermodyn. 91 292
[29]	Kumaga A, Yokoyama C 1998 Int. J. Thermophys. 19 3
[30]	Chen S D, Lei Q F, Fang W J 2005 Fluid Phase Equilibria 234 22
[31]	Lu X X, Wu D, Ye D F, Wang Y P, Guo Y S, Fang W J 2015 J. Chem. Eng. Data 60 2618

施引文献

[1]	Glatter D T O, Sieberer D I J, Schnablegger H 1991 Part. Part. Syst. Charact. 8 274
[2]	Jaeger N D, Demeyere H, Foord R, Sneyers R, Vanderdeelen J, Meeren P V D, Laethem M V 1991 Part. Part. Syst. Charact. 8 179
[3]	Foord R, Jaeger N D 1991 Part. Part. Syst. Charact. 8 187
[4]	Foord R, Jaeger N D, Sneyers R, Geladé E 1992 Part. Part. Syst. Charact. 9 125
[5]	Foord R, Deriemaeker L, Jaeger N D, Sneyers R, Vanderdeelen J, Meeren Pvd, Demeyere H, Stone-Masu J, Haestier A, Clauwaert J, Wispelaere W D, Gillioen P, Steyfkens S, Geladé E 1992 Part. Part. Syst. Charact. 10 118
[6]	Krahn D I W, Luckas D I M, Lucas D I K 1988 Part. Part. Syst. Charact. 5 72
[7]	Phiilles G D H 1981 J. Phys. Chem. 85 2838
[8]	Saad H, Bae Y C, Gulari E 1988 Langmuir 1 63
[9]	Will S, Leipertz A 1993 Appl. Opt. 21 3913
[10]	Will S, Leipertz A 1995 Int. J. Thermophys. 2 433
[11]	Will S, Leipertz A 1997 Int. J. Thermophys. 6 1339
[12]	Will S, Leipertz A 1999 Int. J. Thermophys. 3 791
[13]	He F, Becker G W, Litowski J R, Narhi L O, Brems D N, Razinkov V I 2010 Anal. Biochem. 399 141
[14]	Amin S, Rega C A, Jankevics H 2012 Rheol. Acta 51 329
[15]	Wagner M, Reiche K, Blume A, Garidel P 2013 Pharm. Dev. Technol. 4 963
[16]	Kroner G, Fuchs H, Tatschl R, Glatter O 2003 Part. Part. Syst. Charact. 20 111
[17]	Yamaguchi T, Azuma Y, Okuyama K 2006 Part. Part. Syst. Charact. 23 188
[18]	Einstein A 1908 Z. Electrochem. 14 235
[19]	Finsy R, Devriese A, Lekkerkerker H 1980 J. Chem. Soc. Pakistan 76 767
[20]	Robert P 1985 Dynamic Light Scattering (New York and London: Plenum Press) pp85-179
[21]	Finsy R 1990 Part. Part. Syst. Charact. 7 74
[22]	Smidt J H D, Crommelin D J A 1991 Int. J. Pharmaceut. 77 261
[23]	Yang H, Zheng G, Li M C, Chen J B 2008 Acta Photo. Sin. 37 1539 (in Chinese) [杨晖, 郑刚, 李孟超, 陈家璧 2008 光子学报 37 1539]
[24]	Huber M L, Perkins R A, Laesecke A, Friend D G, Sengers J V, Assael M J, Metaxa I M, Vogel E, Mares R, Miyagawa K 2009 J. Phys. Chem. Ref. Data 38 101
[25]	Zhang S J, Li X, Chen H P, Wang J F, Zhang J M, Zhang M L 2004 J. Chem. Eng. Data 49 760
[26]	González B, Calvar N, Gómez E, Domínguez Á 2007 J. Chem. Thermodyn. 39 1578
[27]	Gong Y H, Shen C, Lu Y Z, Meng H, Li C X 2011 J. Chem. Eng. Data 57 33
[28]	Chen L X, Chen J Y, Song Z H, Cui G K, Xu Y J, Wang X H, Liu J 2015 J. Chem. Thermodyn. 91 292
[29]	Kumaga A, Yokoyama C 1998 Int. J. Thermophys. 19 3
[30]	Chen S D, Lei Q F, Fang W J 2005 Fluid Phase Equilibria 234 22
[31]	Lu X X, Wu D, Ye D F, Wang Y P, Guo Y S, Fang W J 2015 J. Chem. Eng. Data 60 2618

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