Statistical Thermodynamics: Current Perspectives and Limitations of Fluid Property Estimation

  • K. Lucas
Conference paper


Statistical thermodynamics provides a simple formal connection between the thermodynamics of a system, as represented by its free energy A, and the molecular properties of a system, as represented by its canonical partition function Q [1]:
$${{\rm{A}}^{{\rm{(T,V,\{ }}{{\rm{N}}_{\rm{j}}}{\rm{\} )}}}}\,{\rm{ = }}\,{\rm{ - }}\,{\rm{kT}}\,{\rm{ln}}\,{\rm{Q(T,V,\{ }}{{\rm{N}}_{\rm{j}}}{\rm{\} ),}}$$
where k is Boltzmann’s constant, T is the thermodynamic temperature, V the volume, {Nj} the total amount of molecule numbers of the various components, and
$${\rm{Q}}\,{\rm{ = }}\,\mathop {\rm{\Sigma }}\limits_{\rm{i}} \,{\rm{e}}{\,^{{\rm{ - E}}{}_{\rm{i}}{\rm{/kT,}}}}$$
Here Ei, the molecular energy of the system in its quantum state i, is the key quantity.


Entropy Argon Propanol 


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    K. Lucas: Applied Statistical Thermodynamics (in German) Springer 1986Google Scholar
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    Shimanouchi, T.; Matsuura, H.; Ogawa, Y.; Harada, F.: J. Phys. Chem. Ref. Data 9 (1980) 1149CrossRefGoogle Scholar
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    Hehre, W.J.; Radom, L.; Schleyer, P.V.R.; Pople, J.A.: Ab Inition Molecular Orbital Theory. John Wiley & Sons, New York 1986Google Scholar
  4. [4]
    Ameling, W.; Ripke, M.; Lucas, K.: Int. J. Thermophysics, to be publishedGoogle Scholar
  5. [5]
    Luckas, M.; Lucas, K.: Fluid Phase Equilibria, submittedGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • K. Lucas
    • 1
  1. 1.GHS DuisburgDuisburgFederal Republic of Germany

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