Citation: HE Yuchen, WU Xuejing, KONG Fanzhi, CAO Chengxi, FAN Liuyin, XIAO Hua. Accurate empirical equation of ionic mobility from electrolytic conductance[J]. Chinese Journal of Chromatography, ;2016, 34(6): 625-634. doi: 10.3724/SP.J.1123.2016.03003 shu

Accurate empirical equation of ionic mobility from electrolytic conductance

1.
Laboratory of Analytical Biochemistry & Bioseparation, School of Life Science and Biotechnology, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding author: FAN Liuyin, lyfan@sjtu.edu.cn XIAO Hua, huaxiao@sjtu.edu.cn
Received Date: 3 March 2016

Fund Project: National Natural Science Foundation of China Nos. 21275099, 21305087, 21475086

Detection of electrolytic conductivity can be accurately and simply performed. If such detection can be used for the study of ionic mobility, it may supply an accurate, simple and cheap method for the study. This work develops a novel theoretical method for such a study with electrolytic conductivity. An empirical equation for mono-valent ionic mobility is chosen as the studied target. By adequate data of conductivity of 19 mono-mono-valent electrolytes, we correct the empirical equation with near 10% maximum bias as an accurate one with 5% maximum bias with no more than 0.05 mol/L ionic strength. The predictions with the corrected equation are in good agreement with the exact mobilities of salt ions detected by moving boundary method and in high coincidence with the precise mobilities of the 32 large organic ions obtained by the Lucy's equation. Thus, the work also shows the high agreement among the conductivities and mobilities of the 19 small inorganic and the 32 large organic ions. A more accurate equation with 2% maximum deviation is given under the ionic strength of 0.02 mol/L. The advanced approach holds the special advantages. Firstly, adequate electrolytic conductivities in references can be used for the study of ionic mobility. Secondly, it makes the further study very easy due to the simple detection of the electrolyte conductivity.
- empirical equation,
- electrolytic conductance,
- ionic mobility,
- ionic strength,
- capillary electrophoresis (CE)
1. [1]
  Biswas R, Bagchi B. J Chem Phys, 1997, 106:5587
2. [2]
  Bagchi B, Biswas R. Acc Chem Res, 1998, 31:181
3. [3]
  Kataoka H, Saito Y, Sakai T, et al. J Phys Chem B, 2001, 105:2546
4. [4]
  Furlanetto S, Lanteri S, Orlandini S, et al. J Pharm Biomed Anal, 2007, 43:1388
5. [5]
  Furlanetto S, Lanteri S, Orlandini S, et al. J Pharm Biomed Anal, 2007, 43:1402
6. [6]
  Miller J M, Blackburn A C, Shi Y, et al. Electrophoresis, 2002, 23:2833
7. [7]
  Longsworth L. J Am Chem Soc, 1945, 67:1109
8. [8]
  Alberty R A. J Am Chem Soc, 1950, 72:2361
9. [9]
  Nichol J. J Am Chem Soc, 1950, 72:2367
10. [10]
  Cao C X. J Chromatogr A, 1998, 813:153
11. [11]
  MacInnes D A, Longsworth L G. Chem Rev, 1932, 11:172
12. [12]
  Wang H, Shi Y, Yan J, et al. Anal Chem, 2014, 86:2888
13. [13]
  Zhang L X, Cao Y R, Xiao H, et al. Biosens Bioelectron, 2016, 77:284
14. [14]
  Dong J, Li S, Wang H, et al. Anal Chem. 2013, 85:5884
15. [15]
  Porras S P, Riekkola M L, Kenndler E. J Chromatogr A, 2001, 905:259
16. [16]
  Jouyban A, Grosse S, Chan H, et al. J Chromatogr A, 2003, 994:191
17. [17]
  Bekri S, Leclercq L, Cottet H. J Chromatogr A, 2016, 1432:145
18. [18]
  Ibrahim A, Allison S A, Cottet H. Anal Chem, 2012, 84:9422
19. [19]
  Castagnola M, Rossetti D V, Corda M, et al. Electrophoresis, 1998, 19:2273
20. [20]
  Reijenga J, Kenndler E. J Chromatogr A, 1994, 659:403
21. [21]
  Friedl W, Reijenga J C, Kenndler E. J Chromatogr A, 1995, 709:163
22. [22]
  Shimizu T, Kenndler E. Electrophoresis, 1999, 20:3364
23. [23]
  Cao C X. J Chromatogr A, 1997, 771:374
24. [24]
  Cross R F, Cao J. J Chromatogr A, 1998, 809:159
25. [25]
  Bier M, Palusinski O, Mosher R, et al. Science, 1983, 219:1281
26. [26]
  Ermakov S V, Zhukov M Y, Capelli L, et al. Electrophoresis, 1995, 16:2149
27. [27]
  Cao C X, Zhang W, Qin W H, et al. Anal Chem, 2005, 77:955
28. [28]
  Chien R L. Anal Chem, 1991, 63:2866
29. [29]
  Cao C X, He Y Z, Li M, et al. Anal Chem, 2002, 74:4167
30. [30]
  Allison S A, Pei H, Baek S, et al. Electrophoresis, 2010, 31:920
31. [31]
  Robinson R A, Strokes R H. Electrolyte Solutions. 2nd ed. London:Butterworths Press, 1965
32. [32]
  Survay M A, Goodall D M, Wren S A, et al. J Chromatogr A, 1996, 741:99
33. [33]
  Li D, Fu S, Lucy C A. Anal Chem, 1999, 71:687
34. [34]
  Jouyban A, Fazeli-Bakhtiyari R, Shayanfar A, et al. Anal Methods, 2015, 7:8123
35. [35]
  David R L. CRC Handbook of Chemistry and Physics. 73rd ed. Boca Raton:CRC Press, 1992
36. [36]
  Adamson A W. A Textbook of Physical Chemistry. New York:Academic Press Inc., 1973
37. [37]
  Moré J J. Lecture Notes in Mathematics, 1978, 630:105
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1.
沈阳化工大学材料科学与工程学院沈阳 110142