流体力学半径对估算胶体微球聚集速率常数的影响

引用本文: 杜嬛, 徐升华, 孙祉伟, 阿燕. 流体力学半径对估算胶体微球聚集速率常数的影响[J]. 物理化学学报, 2010, 26(10): 2807-2812. doi: 10.3866/PKU.WHXB20100941 shu

Citation: DU Xuan, XU Sheng-Hua, SUN Zhi-Wei, AA Yan. Effect of the Hydrodynamic Radius of Colloid Microspheres on theEstimation of the Coagulation Rate Constant[J]. Acta Physico-Chimica Sinica, 2010, 26(10): 2807-2812. doi: 10.3866/PKU.WHXB20100941 shu

流体力学半径对估算胶体微球聚集速率常数的影响

基金项目:
国家自然科学基金(10972217, 10932012) 和中国科学院知识创新工程(KJCX2-YW-L08) 资助项目 (10972217, 10932012) 和中国科学院知识创新工程(KJCX2-YW-L08)

摘要:

胶体粒子聚集速率常数实验值远低于理论值一直是被普遍关注的问题. 聚集速率常数的理论推导是基于粒子的几何半径来考虑的, 但决定粒子扩散速率及聚集速率的应该是粒子的流体力学半径(大于几何半径),因而它是使聚集速率常数实验值低于理论值的因素之一.影响流体力学半径的因素很多, 其中, 带电粒子在溶液中因表面存在双电层,会明显增大流体力学半径, 造成聚集速率减慢.而双电层的厚度又随溶液中离子强度的不同而改变.本工作在聚集速率的公式中引入了修正因子, 即几何半径与其流体力学半径之比, 以修正由于用几何半径代替流体力学半径带来的误差.其中几何半径和流体力学半径可以分别用扫描电镜(SEM)和动态光散射(DLS) 来测定. 以两种粒径的聚苯乙烯带电微球为例, 考察了在不同离子强度下, 该误差的大小. 结果发现, 对于半径为30 nm 的微球, 用流体力学半径计算的慢聚集速率常数比理论值偏低约8%. 该误差随离子强度增加而减少. 对于快聚集情况, 流体力学半径对聚集速率基本没有影响.

关键词:

English

Effect of the Hydrodynamic Radius of Colloid Microspheres on theEstimation of the Coagulation Rate Constant

1.
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P. R. China
Received Date: 02 April 2010
Available Online: 27 September 2010
Fund Project:
国家自然科学基金(10972217, 10932012) 和中国科学院知识创新工程(KJCX2-YW-L08) 资助项目

Abstract:

Experimental values of the coagulation rate constant for colloidal particles are known to be much lower than the theoretical values. Only the particle's geometric radii are used in the theoretical derivation of coagulation rate constant. However, it should actually be the hydrodynamic radius (larger than the geometric radius) that determines the particles' diffusion speed and thus the coagulation rate. Therefore, it is one of the reasons that cause the experimental coagulation rate constant lower than the theoretical one. Many factors affect the hydrodynamic radius and among them the electric double layer can significantly swell the hydrodynamic radius, which lowers the coagulation rate. The thickness of the electric double layer changes with the ionic strength of the solution. To correct the error caused by ne-glecting the difference between the geometric and hydrodynamic radius, a correction factor, which is the ratio of geometric radius to hydrodynamic radius, is introduced in this study. The geometric radius and the hydrodynamic radius were determined by scanning electron microscopy (SEM) and dynamic light scattering (DLS), respectively. Two different sized polystyrene microspheres were used to investigate the effect of ionic strength on the difference between the experimental coagulation rates and the theoretical ones. The results show that for slow aggregation, the rate constant calculated by using the hydrodynamic radius can be lower than its theoretical value by about 8% for microspheres with radius of 30 nm. This difference decreases with the increase of ionic strength. The effect of the hydrodynamic radius on the coagulation rate is negligible for fast aggregation.

Key words:

1. [1]
  
  1. Wang, G. T. Colloidal stability. Beijing: Science Press, 1990: 1-2 [王果庭.胶体稳定性.北京:科学出版社, 1990: 1-2]
  1. Wang, G. T. Colloidal stability. Beijing: Science Press, 1990: 1-2 [王果庭.胶体稳定性.北京:科学出版社, 1990: 1-2]
2. [2]
  2. Jiang, Z. B. Science Information, 2006, 11: 12 [姜兆波.科技信息, 2006, 11: 12]2. Jiang, Z. B. Science Information, 2006, 11: 12 [姜兆波.科技信息, 2006, 11: 12]
3. [3]
  3. Hu, Q. Y.; Lan, Y. Q.; Xue, J. H. Soilds, 1996, 28: 290 [胡琼英, 兰叶青,薛家骅. 土壤, 1996, 28: 290]3. Hu, Q. Y.; Lan, Y. Q.; Xue, J. H. Soilds, 1996, 28: 290 [胡琼英, 兰叶青,薛家骅. 土壤, 1996, 28: 290]
4. [4]
  4. Fan, X.; Guo, Z. R.; Hong, J. M.; Zhang, Y.; Zhang, J. N.; Gu, N. Nanotechnology, 2010, 21: 1056024. Fan, X.; Guo, Z. R.; Hong, J. M.; Zhang, Y.; Zhang, J. N.; Gu, N. Nanotechnology, 2010, 21: 105602
5. [5]
  5. Yue, L.; Tao, S. L.; Zhang, X. H.;Wu, S. K. Journal of Functional Polymers, 2005, 18: 248 [岳玲, 陶斯禄, 张晓宏,吴世康. 功能高分子学报, 2005, 18: 248]5. Yue, L.; Tao, S. L.; Zhang, X. H.;Wu, S. K. Journal of Functional Polymers, 2005, 18: 248 [岳玲, 陶斯禄, 张晓宏,吴世康. 功能高分子学报, 2005, 18: 248]
6. [6]
  6. Zhang, S. F.; Sun, L. L.; Xu, J. B.; Zhou, H.; Wen, H. Acta Phys. - Chim. Sin., 2010, 26: 57 [张胜飞, 孙丽丽,徐俊波,周涵, 温浩.物理化学学报, 2010, 26: 57]6. Zhang, S. F.; Sun, L. L.; Xu, J. B.; Zhou, H.; Wen, H. Acta Phys. - Chim. Sin., 2010, 26: 57 [张胜飞, 孙丽丽,徐俊波,周涵, 温浩.物理化学学报, 2010, 26: 57]
7. [7]
  7. Smoluchowski, M. Z. Phys. Chem., 1917, 92: 1297. Smoluchowski, M. Z. Phys. Chem., 1917, 92: 129
8. [8]
  8. Elimelech, M.; Gre ry, J.; Jia, X.;Williams, R. A. Particle deposition and aggregation measurement, modelling and simulation. Amsterdam: Elsevier, 19958. Elimelech, M.; Gre ry, J.; Jia, X.;Williams, R. A. Particle deposition and aggregation measurement, modelling and simulation. Amsterdam: Elsevier, 1995
9. [9]
  9. Kruyt, R. H. Colloid science, Vol.1. Irreversible systems. Amsterdam: Elsevier, 19529. Kruyt, R. H. Colloid science, Vol.1. Irreversible systems. Amsterdam: Elsevier, 1952
10. [10]
  10. Adachi, Y. Adv. Colloid Interface Sci., 1995, 56: 110. Adachi, Y. Adv. Colloid Interface Sci., 1995, 56: 1
11. [11]
  11. Fukasawa, T.; Adachi, Y. J. Colloid Interface Sci., 2006, 304: 11511. Fukasawa, T.; Adachi, Y. J. Colloid Interface Sci., 2006, 304: 115
12. [12]
  12. Folkersma, R.; Van Diemen, A. J.; Stein, H. N. J. Colloid Interface Sci., 1998, 206: 48212. Folkersma, R.; Van Diemen, A. J.; Stein, H. N. J. Colloid Interface Sci., 1998, 206: 482
13. [13]
  13. Folkersma, R.; Stein, H. N. J. Colloid Interface Sci., 1998, 206: 49413. Folkersma, R.; Stein, H. N. J. Colloid Interface Sci., 1998, 206: 494
14. [14]
  14. Folkersma, R.; Van Diemen, A. J.; Stein, H. N. Adv. Colloid Interface Sci., 1999, 83: 7114. Folkersma, R.; Van Diemen, A. J.; Stein, H. N. Adv. Colloid Interface Sci., 1999, 83: 71
15. [15]
  15. Krutzer, L. L. M.; Folkersma, R.; Van Diemen, A. J.; Stein, H. N. Adv. Colloid Interface Sci., 1993, 46: 5915. Krutzer, L. L. M.; Folkersma, R.; Van Diemen, A. J.; Stein, H. N. Adv. Colloid Interface Sci., 1993, 46: 59
16. [16]
  16. Sun, Z. W.; Qiao, R. L. J. Colloid Interface Sci., 2000, 223: 12616. Sun, Z. W.; Qiao, R. L. J. Colloid Interface Sci., 2000, 223: 126
17. [17]
  17. Sun, Z. W.; Li, Y. M.; Xu, S. H.; Lou, L. R.; Dai, G. L.; Dong, X. Q. J. Colloid Interface Sci., 2001, 242: 15817. Sun, Z. W.; Li, Y. M.; Xu, S. H.; Lou, L. R.; Dai, G. L.; Dong, X. Q. J. Colloid Interface Sci., 2001, 242: 158
18. [18]
  18. Sun, Z. W.; Chen, Z. Y. Chin. Phys. Lett., 2003, 20: 163418. Sun, Z. W.; Chen, Z. Y. Chin. Phys. Lett., 2003, 20: 1634
19. [19]
  19. Liu, J.; Sun, Z. W.; AA, Y. Chin. Phys. Lett., 2005, 22: 319919. Liu, J.; Sun, Z. W.; AA, Y. Chin. Phys. Lett., 2005, 22: 3199
20. [20]
  20. Xu, S. H.; Liu, J.; Sun, Z. W. J. Colloid Interface Sci., 2006, 304: 10720. Xu, S. H.; Liu, J.; Sun, Z. W. J. Colloid Interface Sci., 2006, 304: 107
21. [21]
  21. Sun, Z. W.; Liu, J.; Xu, S. H. Langmuir, 2006, 22: 494621. Sun, Z. W.; Liu, J.; Xu, S. H. Langmuir, 2006, 22: 4946
22. [22]
  22. Sun, Z. W.; Xu, S. H.; Liu, J.; Li, Y. M.; Lou, L. R.; Xie, J. C. J. Chem. Phys., 2005, 122: 18490422. Sun, Z. W.; Xu, S. H.; Liu, J.; Li, Y. M.; Lou, L. R.; Xie, J. C. J. Chem. Phys., 2005, 122: 184904
23. [23]
  23. Sun, Z. W.; Xu, S. H.; Dai, G. L.; Li, Y. M.; Lou, L. R.; Liu, Q. S.; Zhu, R. Z. J. Chem. Phys., 2003, 119: 239923. Sun, Z. W.; Xu, S. H.; Dai, G. L.; Li, Y. M.; Lou, L. R.; Liu, Q. S.; Zhu, R. Z. J. Chem. Phys., 2003, 119: 2399
24. [24]
  24. Sun, Z. W.; Liu, J.; Xu, S. H. Chin. Phys. Lett., 2005, 21: 211924. Sun, Z. W.; Liu, J.; Xu, S. H. Chin. Phys. Lett., 2005, 21: 2119
25. [25]
  25. Li, X.; Xu, S. H.; Sun, Z. W. Acta Phys. -Chim. Sin., 2009, 25: 207 [李旭,徐升华, 孙祉伟. 物理化学学报, 2009, 25: 207]25. Li, X.; Xu, S. H.; Sun, Z. W. Acta Phys. -Chim. Sin., 2009, 25: 207 [李旭,徐升华, 孙祉伟. 物理化学学报, 2009, 25: 207]
26. [26]
  26. Li, X.; Xu, S. H.; Sun, Z. W. Acta Phys. -Chim. Sin., 2009, 25: 2130 [李旭,徐升华,孙祉伟. 物理化学学报, 2009, 25: 2130]26. Li, X.; Xu, S. H.; Sun, Z. W. Acta Phys. -Chim. Sin., 2009, 25: 2130 [李旭,徐升华,孙祉伟. 物理化学学报, 2009, 25: 2130]
27. [27]
  27. Liu, J.; Xu, S. H.; Sun, Z. W. Langmuir, 2007, 23: 1145127. Liu, J.; Xu, S. H.; Sun, Z. W. Langmuir, 2007, 23: 11451
28. [28]
  28. Honig, E. P.; Roebersen, G. J.; Wiersema, P. H. J. Colloid Interface Sci., 1971, 36: 9728. Honig, E. P.; Roebersen, G. J.; Wiersema, P. H. J. Colloid Interface Sci., 1971, 36: 97
29. [29]
  29. Happel, J.; Brenner, H. Lowreynolds number hydrodynamics. Dordrecht: Kluwer, 199129. Happel, J.; Brenner, H. Lowreynolds number hydrodynamics. Dordrecht: Kluwer, 1991
30. [30]
  30. Batchelor, G. K. J. Fluid Mech., 1976, 74: 130. Batchelor, G. K. J. Fluid Mech., 1976, 74: 1
31. [31]
  31. Crocker, J. C. J. Chem. Phys., 1997, 106: 283731. Crocker, J. C. J. Chem. Phys., 1997, 106: 2837
32. [32]
  32. Bhattacharya, S.; Blawzdziewicz, J.; Wajnryb, E. J. Fluid Mech., 2005, 541: 26332. Bhattacharya, S.; Blawzdziewicz, J.; Wajnryb, E. J. Fluid Mech., 2005, 541: 263
33. [33]
  33. Kätzel, U.; Vorbau, M.; Stintz, M.; Gaudig, T. G.; Barthel, H. Part. Part. Syst. Charact., 2008, 25: 1933. Kätzel, U.; Vorbau, M.; Stintz, M.; Gaudig, T. G.; Barthel, H. Part. Part. Syst. Charact., 2008, 25: 19
34. [34]
  34. Zhang, Y. B.; Qi,W.; Su, R. X.; Yuan, S. X.; Jin, F. M.; He, Z. M. Chin. J. Anal. Chem., 2007, 35: 809 [章宇斌,齐崴, 苏荣欣, 袁素霞,靳凤民, 何志敏.分析化学, 2007, 35: 809]34. Zhang, Y. B.; Qi,W.; Su, R. X.; Yuan, S. X.; Jin, F. M.; He, Z. M. Chin. J. Anal. Chem., 2007, 35: 809 [章宇斌,齐崴, 苏荣欣, 袁素霞,靳凤民, 何志敏.分析化学, 2007, 35: 809]
35. [35]
  35. odwin, J. W.; Hearn, J.; Ho, C. C.; Orrewill, R. H. Brit. Polym. J., 1973, 5: 347
  35. odwin, J. W.; Hearn, J.; Ho, C. C.; Orrewill, R. H. Brit. Polym. J., 1973, 5: 347

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

流体力学半径对估算胶体微球聚集速率常数的影响

English

Effect of the Hydrodynamic Radius of Colloid Microspheres on theEstimation of the Coagulation Rate Constant

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通讯作者: 陈斌, bchen63@163.com

中国化学会秘书处

流体力学半径对估算胶体微球聚集速率常数的影响

English

Effect of the Hydrodynamic Radius of Colloid Microspheres on theEstimation of the Coagulation Rate Constant

CCS Chemistry：嵌段共聚物自组装成 “三明治”二维有机材料，实现纳米级压力传感功能

CCS Chemistry：颜徐州、鲍哲南： 你的皮肤可能是一片SPMs

CCS Chemistry：工作高效不疲劳，只须让催化剂动起来

CCS Chemistry：静电组装导向聚合- 聚电解质纳米凝胶量化制备新策略

CCS Chemistry：金黄色葡萄球菌醛基脱氢酶是如何识别特异性底物的？

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