Use of the Statistical Field Approximation in Molecular Physics
- 15 August 1955
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 99 (4) , 1291-1301
- https://doi.org/10.1103/physrev.99.1291
Abstract
The equations for the Dirac statistical field for an arbitrary molecule are obtained with boundary conditions, virial theorem, and an identity containing charge and energy integrals. Equations are obtained in which the forces between nuclei are related to kinetic energy. Numerical solutions of the statistical field equations for nitrogen are presented in graphical form, together with a discussion of numerical methods used to obtain them. The numerical results in conjunction with theoretical arguments show that it is not plausible that the statistical field should lead to binding for any molecule.Keywords
This publication has 6 references indexed in Scilit:
- Tables of Statistical Electron Distributions for Atoms with Degree of Ionization Zero to Four and of the Corresponding Electrostatic PotentialsThe Journal of Chemical Physics, 1954
- The Use of Large Scale Computing in PhysicsJournal of Applied Physics, 1953
- Convergence Rates of Iterative Treatments of Partial Differential EquationsMathematical Tables and Other Aids to Computation, 1950
- Ergänzung zur Arbeit: Über den Austausch im Thomas-Fermi-AtomThe European Physical Journal A, 1935
- Berechnung der Elektronenverteilung in einer zweiatomigen Molekel nach der Methode von Thomas und FermiThe European Physical Journal A, 1932
- Note on Exchange Phenomena in the Thomas AtomMathematical Proceedings of the Cambridge Philosophical Society, 1930