ATOMIC BINDING ENERGIES FROM A MODIFIED THOMAS-FERMI-DIRAC THEORY

Journal Article · Tue Oct 01 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.132.236· OSTI ID:4629977

Barnes, J F; Cowan, R D

A quantum correction of the statistical model of the atom was obtained by modifying March and Plaskett's region of integration in the (n/sub r/,l), or quantum-number, plane. Integrations over the plane lead, in the unmodified case, to the Thomas-Fermi density expression and energy equation. Integrations over the modified region are here shown to produce a modified Thomas-Fermi expression for the electron density, and a correction to the kinetic energy. The latter correction shows a similarity to the Weizsacker correction, but is smaller by a slowly changing factor of the order of 10. A modified Thomas-Fermi-Dirac equation was derived by the standard variational procedure. Numerical solutions of the equation were obtained, yielding atomic binding energies in much better agreement with experimental values than those of the unmodified theory. (auth)

• Research Organization: Los Alamos Scientific Lab., N. Mex.
• NSA Number: NSA-17-037858
• OSTI ID: 4629977
• Report Number(s): LADC-5804; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 132; ISSN PHRVA
• Country of Publication: United States
• Language: English

Related Subjects

ATOMIC MODELS
ATOMS
BINDING ENERGY
DENSITY
DIFFERENTIAL EQUATIONS
ELECTRONS
INTEGRALS
MATHEMATICS
NUMERICALS
PHYSICS
QUANTUM MECHANICS
STATISTICS
THOMAS-FERMI MODEL
VARIATIONAL METHOD