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The role of the theoretical plate concept and gamma density functions in studies on mass transport and mass loadability of chromatographic columns

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Summary

The validity of the use of the plate theory in transport processes with non-Gaussian peak shapes is discussed. It is shown that the application of the plate theory implies the assumption of a peak with a gamma density shape which, however, converges rapidly to symmetrical Gaussian shape for large plate numbers. A proposal for an extension of the plate theory, based on a gamma density function is given. This approach results in an extra parameter which characterizes the asymmetry of a peak. Use of the suggested fitting function permits an estimate of the moments of the peak, even without the use of a computer. The proposed model can be used to determine a transfer function for the chromatographic system, allowing a system theoretical approach to determine the influence of, for example, amplifiers, filters and detectors on the peak shape. The exponentially modified Gauss (EMG) is one of the possible peak shapes included in the model.

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Authors and Affiliations

  1. Laboratory for Analytical Chemistry, University of Amsterdam, Nieuwe Achtergracht 166, 1018 WV, Amsterdam, The Netherlands

    H. C. Smit

  2. Laboratory for Neurology, St. Radboud Hospital, Catholic University Nijmegen, Reinier Postlaan 4, 6500 HB, Nijmegen, The Netherlands

    J. C. Smit

  3. Institute of Applied Mathematics, University of Amsterdam, Roetersstraat 15, 1018 WB, Amsterdam, The Netherlands

    E. M. de Jager

Authors
  1. H. C. Smit
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  2. J. C. Smit
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  3. E. M. de Jager
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Smit, H.C., Smit, J.C. & de Jager, E.M. The role of the theoretical plate concept and gamma density functions in studies on mass transport and mass loadability of chromatographic columns. Chromatographia 22, 123–131 (1986). https://doi.org/10.1007/BF02257312

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  • DOI: https://doi.org/10.1007/BF02257312

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