Research Article Open Access

The 'Umbrella' Function Describing the Density of External Electrons Injected in NaCl Crystal

Siti Wahyuni1, Akrom Khasani2, Wipsar Sunu Brams Dwandaru3 and Muhammad Farchani Rosyid2
  • 1 Jurusan Fisika, FMIPA, Universitas Negeri Semarang, Indonesia
  • 2 KAMP, Departemen Fisika, FMIPA, Universitas Gadjah Mada, Yogyakarta, Indonesia
  • 3 Jurusan Pendidikan Fisika, FMIPA, Universitas Negeri Yogyakarta, Indonesia

Abstract

Electrons injected in NaCl crystal are studied using Thomas-Fermi-Dirac-von Weizsacker (TFDW) model. The external potential that contributes to the TFDW energy functional is not only due to the nuclei but also to the internal electrons. In order to obtain the potential term due to the internal electrons, the density of the internal electrons in the crystal is derived from the Fourier transformation of the structure factor equation. The external potential in the TFDW energy functional is equal to the summation of the potential owing to the internal electrons and the potential due to the nuclei. The external potential determines the 'umbrella' function that bounds the minimizer of the TFDW energy functional from above. In this present work, we assume that the density of the internal electrons is not affected by the injected external electrons.

American Journal of Applied Sciences
Volume 13 No. 12, 2016, 1347-1353

DOI: https://doi.org/10.3844/ajassp.2016.1347.1353

Submitted On: 27 April 2016 Published On: 1 December 2016

How to Cite: Wahyuni, S., Khasani, A., Dwandaru, W. S. B. & Rosyid, M. F. (2016). The 'Umbrella' Function Describing the Density of External Electrons Injected in NaCl Crystal. American Journal of Applied Sciences, 13(12), 1347-1353. https://doi.org/10.3844/ajassp.2016.1347.1353

  • 3,724 Views
  • 1,744 Downloads
  • 0 Citations

Download

Keywords

  • TFDW
  • Internal Electron
  • Structure Factor
  • Umbrella Function
  • Minimizer