Crystal Size Distribution

  • Narayan S. Tavare
Part of the The Springer Chemical Engineering Series book series (PCES)


The crystalline solid state is unique in that it exhibits properties related to form (i.e., size and shape) and composition. The processes employed for manufacturing crystalline solid materials in bulk invariably yield a distribution of characteristic shapes and sizes of the resultant solid-phase material. The crystal size distribution is an important property influencing the end-use applications as well as interacting strongly with the crystallization process itself. It is often necessary to describe quantitatively the crystal size distributions as well as to predict it a priori from the process simulation analysis. If all crystals produced have roughly similar shape, it is often adequate to describe the material by a one dimensional crystal size distribution. In this chapter, possible empirical, one-dimensional functions suitable for such use are first discussed. A unified theory is then presented for multidimensional crystal distributions, which can be used to analyze and predict such distributions in certain process configurations.


Crystal Size Laguerre Polynomial Population Balance Crystal Volume Crystal Size Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Hulburt, H. M. and Katz, S., “Some problems in particle technology: A statistical mechanical formulation,” Chem. Eng. Sci. 19, 555–574 (1964).CrossRefGoogle Scholar
  2. Rivera, T. and Randolph, A. D., “A model for the precipitation of pentaerythritol tetranitrate (PETN),” Ind. Eng. Chem. Proc. Des. Dev. 17, 182–189 (1978).CrossRefGoogle Scholar
  3. Randolph, A. D. and Larson, M. A., Theory of Particulate Processes, Academic Press, New York (1971).Google Scholar
  4. White, E. T. and Randolph, E. T., “Graphical solution of the material balance constraint for MSMPR crystallizers,” AIChE J. 33, 686–689 (1987).CrossRefGoogle Scholar

Further Reading

  1. Irani, R. R. and Callis, C. F.: Particle Size: Measurement, Interpretation and Application, Wiley, New York (1963).Google Scholar
  2. Kelly, E. G. and Spottiswood, D. J.: Introduction to Mineral Processing, Wiley, New York (1982).Google Scholar
  3. Randolph, A. D. and Larson, M. A.: Theory of Paniculate Processes, 2nd ed., Academic Press, San Diego (1988).Google Scholar
  4. Stanley-Wood, N. G. and Lines, R. W: Particle Size Analysis, Royal Society of Chemistry, Cambridge, England (1992).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Narayan S. Tavare
    • 1
  1. 1.University of Manchester Institute of Science and Technology (UMIST)ManchesterUK

Personalised recommendations