A PROPOSED MODIFICATION OF THE AVAILABLE MOMENTUM REGION IN THOMAS-FERMI THEORY
Thesis/Dissertation
·
OSTI ID:4012554
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 modified region produced a modified Thomas-Fermi expression for the electron density and a correction to the kinetic energy, which was named the quantum-correction'' energy. The measure of the correction of the region of integration is a so-called modiflcation factor.'' The modified density expression was utilized, with values of the modification factor appropriate to the pure Coulomb field of the nucleus, to investigate the correction of the electron-nuclear potential energy. It was shown that the latter is corrected from the erroneous Thomas-Fermi values within such a distance from the nucleus that the use of the Coulomb approximation is well justifled. A modifled Thomas-Fermi-Dirac equation was derived by the standard variational procedure. Numerical solutions of the equation were obtained, which yield atomic binding energies in much better agreement with experimenthl values than those of the unmodified theory. The pressure- compression values are only slightly different from those of the unmodified model. A method for more general determination of the modification factor than that based on a Coulomb field is also outlined, as well as the manner in which the modification could be extended to the nonzero temperature case. (Dissertation Abstr., 24: No. 8, Feb. 1984)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-18-020778
- OSTI ID:
- 4012554
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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