Eduard-Job-Foundation for Thermo- and Matterdynamics

Georg Job

An elementary approach to quantum statistical problems (II)

After a talk given at the Seminar of Surface Chemistry in the Institute of Physical Chemistry of the University of Hamburg, on May 21, 1991

The first subject treated here - namely mono- and multiple-layer adsorption - furnishes a vivid model of the population of single particle quantum states with fermions and bosons. Based on this, an approach to the elementary solution of quantum statistical problems of this kind can be derived as well. The equations describing the translational contributions to chemical potential, entropy, energy and specific heat of a dilute gas are important subsidiary results. Again, as in Part I, we essentially need only the chemical potential and its dependence upon concentration and energy to treat adsorption as well as systems of fermions and bosons. The central aspect of this paper is the problem of the transition from macroscopic to microscopic systems.
  • Summary
  • Introduction
  • Protonation of a base
  • The chemical potential of free occupied sites
  • Single-layer adsorption
  • Multi-layer adsorption
  • Generalizing the adsorption equations
  • Contribution of translation to the chemical potential
  • Properties of dilute gases
  • Fermi-Dirac, Bose-Einstein and Boltzmanns distributions
  • Review
  • Outlook