Analytical Representation of the Lang-Kohn Density Profiles by the Numerical Fitting

• Authors: J. Rogowska , K. Wojciechowski , M. Maciejewski
• Languages of publication: EN

Abstracts

EN

The numerical fitting of an analytical function representing electron density profile at a jellium surface to the one tabulated by Lang and Kohn is presented. The two sets of parameters entering the electron density profile is proposed. The first one is obtained by purely numerical fitting, and the second one is calculated under condition that electron density profile must satisfy the Budd-Vannimenus theorem. The obtained parameters are given as analytical functions of the Wigner-Seitz radius r_{s} describing mean electron density n̅ in a metal (n̅^{-1} = 4/3πr³_{s} ). The comparison of presented electron density profile with variational trial function given by Perdew is also discussed.

Keywords

EN

73.30.+y; 73.20.-r

Discipline

• 73.20.-r: Electron states at surfaces and interfaces
• 73.30.+y: Surface double layers, Schottky barriers, and work functions(see also 82.45.Mp Thin layers, films, monolayers, membranes in electrochemistry; see also 87.16.D- Membranes, bilayers, and vesicles in biological physics)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1994
• Volume: 85
• Issue: 3
• Pages: 593-601

Dates

published

1994-03

received

1993-06-18

(unknown)

1993-10-26

Contributors

author

J. Rogowska

• Institute of Experimental Physics, University of Wrocław, Pl. Maxa Borna 9, 50-204 Wrocław, Poland

author

K. Wojciechowski

• Institute of Experimental Physics, University of Wrocław, Pl. Maxa Borna 9, 50-204 Wrocław, Poland

author

M. Maciejewski

• Institute of Informatics, University of Wrocław, Przesmyckiego 20, 50-204 Wrocław, Poland

Identifiers

DOI

10.12693/APhysPolA.85.593