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

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: 2 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 (10972217, 10932012) 和中国科学院知识创新工程(KJCX2-YW-L08)

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.
- Polystyrene microspheres,
- Ionic strength,
- Hydrodynamics radius,
- Geometric radius,
- Coagulation rate constant
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]
2. [2]
  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]
4. [4]
  4. 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]
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]
7. [7]
  7. 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, 1995
9. [9]
  9. Kruyt, R. H. Colloid science, Vol.1. Irreversible systems. Amsterdam: Elsevier, 1952
10. [10]
  10. Adachi, Y. Adv. Colloid Interface Sci., 1995, 56: 1
11. [11]
  11. 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: 482
13. [13]
  13. 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: 71
15. [15]
  15. 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: 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: 158
18. [18]
  18. 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: 3199
20. [20]
  20. 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: 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: 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: 2399
24. [24]
  24. 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]
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]
27. [27]
  27. 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: 97
29. [29]
  29. Happel, J.; Brenner, H. Lowreynolds number hydrodynamics. Dordrecht: Kluwer, 1991
30. [30]
  30. Batchelor, G. K. J. Fluid Mech., 1976, 74: 1
31. [31]
  31. Crocker, J. C. J. Chem. Phys., 1997, 106: 2837
32. [32]
  32. 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: 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]
35. [35]
  35. odwin, J. W.; Hearn, J.; Ho, C. C.; Orrewill, R. H. Brit. Polym. J., 1973, 5: 347
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