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Non-Gaussian Theoretical Plate Number in Chromatography
Corresponding Author(s) : Zhang Dali
Asian Journal of Chemistry,
Vol. 27 No. 5 (2015): Vol 27 Issue 5
Abstract
Non-Gaussian theoretical plate number is the theoretical plate number of the non-Gaussian peak (viz. tailing peak). Gaussian theoretical plate number is the theoretical plate number of the Gaussian peak, viz. usual "theoretical plate number": n, n = (tR/s)2, (I). According to the plate theory, the conditions contained in deriving eqn. I include linear ideal chromatography, Gaussian elution curve, large plate number and large partition ratio. These conditions should be the condition for the application of eqn. I. However, the normal chromatographic peaks are tailing peaks; thus, calculating the theoretical plate number of the tailing peak using eqn. I would evidently transgress the condition of eqn. I. Further using the theoretical plate number calculated from tailing peak to discuss the problems of nonlinear or non-ideal chromatography would lead farther against the application of eqn. I. Thus, researching and resolving the calculation of the theoretical plate number of the tailing peak is important. In this paper, a formula of non-Gaussian theoretical plate number was derived based on the plate theory. In the derivation, the slip mechanism was introduced into the plate theory, so that the non-Gaussian theoretical plate number is also called the theoretical plate number of the slip mechanism or slip plate number for short. The new model of the plate theory containing the slip mechanism was discussed and the laws of variation of both the Gaussian theoretical plate number and the slip plate number were compared.
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References
V.B. Di Marco and G.G. Bombi, J. Chromatogr. A, 931, 1 (2001); doi:10.1016/S0021-9673(01)01136-0.
J.J. Baeza-Baeza, C. Ortiz-Bolsico and M.C. García-Álvarez-Coque, Anal. Chim. Acta, 758, 36 (2013); doi:10.1016/j.aca.2012.10.035.
S. Antakli, N. Sarkis and N. Nabo, Asian J. Chem., 22, 7997 (2010).
P.-Y. Liu, J. Shen, L. Gao, L. Liu, R. Li and Q. Li, Asian J. Chem., 22, 6275 (2010).
S. Ma, J.J. Xue, J.L. Cao, S.Q. He, Q.F. Hu and G.Y. Yang, Asian J. Chem., 22, 6205 (2010).
S. Antakli, N. Sarkis and N. Nabo, Asian J. Chem., 22, 4939 (2010).
W. Sheikh and N. Naz, Asian J. Chem., 25, 3517 (2013); doi:10.14233/ajchem.2013.13785.
H.-L. Wang, J.-H. Chen, H.-F. Jin, B.-Y. Guo and J.-Z. Li, Asian J. Chem., 25, 3331 (2013); doi:10.14233/ajchem.2013.13672.
H. Qiao, L. Feng and T.J. Sun, Asian J. Chem., 25, 3036 (2013); doi:10.14233/ajchem.2013.13513.
A.J.P. Martin and R.L.M. Synge, Biochem. J., 35, 1359 (1941).
L. Lapidus and N.R. Amundson, J. Phys. Chem., 56, 984 (1952); doi:10.1021/j150500a014.
N.K. Hiester and T. Vermeulen, J. Chem. Phys., 16, 1087 (1948); doi:10.1063/1.1746733.
H.C. Thomas, J. Chem. Soc., 66, 1664 (1944); doi:10.1021/ja01238a017.
J.J. Van Deemter, F.J. Zuiderweg and A. Klinkenberg, Chem. Eng. Sci., 5, 271 (1956); doi:10.1016/0009-2509(56)80003-1.
J.C. Giddings, J. Chromatogr. A, 5, 46 (1961); doi:10.1016/S0021-9673(01)92815-8.
J.C. Giddings, J. Chromatogr. A, 2, 44 (1959); doi:10.1016/S0021-9673(01)86255-5.
J.C. Giddings, Sep. Sci., 4, 181 (1969); doi:10.1080/01496396908052249.
J.F.K. Huber and J.A.R.J. Hulsman, Anal. Chim. Acta, 38, 305 (1967); doi:10.1016/S0003-2670(01)80592-4.
G.J. Kennedy and J.H. Knox, J. Chromatogr. Sci., 10, 549 (1972); doi:10.1093/chromsci/10.9.549.
M.J.E. Golay, Gas Chromatography, Butterworths, London, p. 36 (1958).
M.J.E. Golay, Nature, 180, 435 (1957); doi:10.1038/180435b0.
J.E. Funk and G. Houghton, J. Chromatogr. A, 6, 193 (1961); doi:10.1016/S0021-9673(61)80245-8.
J.E. Funk and G. Houghton, J. Chromatogr. A, 6, 281 (1961); doi:10.1016/S0021-9673(61)80263-X.
H. Zhenwei, H. Zhimin, Y. Guocong, Chinese J. Chromatogr. A, 15, 532 (1997).
D. Chaozheng and X. Zaijun, Acta Chim. Sin., 52, 64 (1994).