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Multinomial distribution as the most likely distribution of the stoichiometric composition of stochastically formednmers

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Abstract

Multinomial distribution is presented as the most likely distribution of the stoichiometric composition of stochastically formednmers. The termnmer is used in a wide sense, meaning not only the usual species in polymer chemistry, but molecules or a well defined set of neighbouring atoms in a crystal lattice as well. As a practical example the authors present the statistical interpretation of the Mössbauer spectra of ferromagnetic FeCrNi alloys. The problem discussed may also serve as a model calculation for courses on statistical thermodynamics.

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Authors and Affiliations

  1. Laboratory of Nuclear Chemistry, L. Eötvös University, P.O. Box 32, H-1518, Budapest, Hungary

    S. I. Nagy, E. Kuzmann, K. Süvegh & A. Vértes

  2. Department of Chemistry, Drexel University, 19104, Philadelphia, PA, USA

    A. W. Addison & C. M. Rosenthal

Authors
  1. S. I. Nagy
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  2. A. W. Addison
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  3. C. M. Rosenthal
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  4. E. Kuzmann
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  5. K. Süvegh
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  6. A. Vértes
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Nagy, S.I., Addison, A.W., Rosenthal, C.M. et al. Multinomial distribution as the most likely distribution of the stoichiometric composition of stochastically formednmers. Journal of Radioanalytical and Nuclear Chemistry, Articles 141, 373–391 (1990). https://doi.org/10.1007/BF02035804

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  • DOI: https://doi.org/10.1007/BF02035804

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