European Journal of Scientific Research - EuroJournals
European Journal of Scientific Research - EuroJournals
European Journal of Scientific Research - EuroJournals
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<strong>European</strong> <strong>Journal</strong> <strong>of</strong> <strong>Scientific</strong> <strong>Research</strong><br />
ISSN 1450-216X Vol.20 No.2 (2008), pp.443-447<br />
© Euro<strong>Journal</strong>s Publishing, Inc. 2008<br />
http://www.eurojournals.com/ejsr.htm<br />
Equation <strong>of</strong> Motion in Appearance Potential Spectra <strong>of</strong><br />
Simple Metals<br />
Omubo-Pepple V. B<br />
Department <strong>of</strong> Physics, Rivers State University <strong>of</strong> Science and Technology<br />
Port Harcourt, 500001, Nigeria<br />
Opara F. E<br />
Department <strong>of</strong> Physics, Rivers State University <strong>of</strong> Science and Technology<br />
Port Harcourt, 500001, Nigeria<br />
Ogbonda C<br />
Department <strong>of</strong> Physics, Rivers State University <strong>of</strong> Science and Technology<br />
Port Harcourt, 500001, Nigeria<br />
Pekene D.B<br />
Department <strong>of</strong> Physics, Niger Delta University, Bayelsa State<br />
Abstract<br />
The equation <strong>of</strong> motion is applied to the function Γ k1k2k3k<br />
which describes the<br />
4<br />
propagation <strong>of</strong> two particles in the presence <strong>of</strong> a core hole. Neglecting final state<br />
interactions and assuming constant matrix elements, the X-ray yield and the associated<br />
appearance potential spectrum is found to depend on the convolution <strong>of</strong> the empty density<br />
<strong>of</strong> states above Fermi level <strong>of</strong> the metal.<br />
Keywords: Potential spectra, potential spectrum, core hole, propagation.<br />
Introduction<br />
In addition to such well-established spectroscopies as XPS, UPS, ESCA, LEED and AES, new tools<br />
for both bulk and surface studies have emerged in recent years. Among these new techniques are “S<strong>of</strong>t<br />
X-ray Appearance Spectroscopy” (SXAPS or simple APS), Auger Electron Appearance Spectroscopy<br />
(AEAPS), Characteristic Isochromat Spectroscopy (CIS), and Ionization Spectroscopy (IS). These<br />
spectroscopies can be broadly divided into two groups, Riviere, (1973), namely:<br />
(a) Those which explore the filled bands below the Fermi level, i.e. filled band probes<br />
(b) Those which concentrate on the empty states above the Fermi level, i.e. empty and probes.<br />
APS, CIS and IS belong to the latter group Opara, (1995) and Omubo-Pepple and Opara,<br />
(2004).<br />
In APS monoenergetic electrons from a thermionic emitter bombard the sample under<br />
investigation and the voltage between the emitter and the sample is varied. The incident electron<br />
energies range from a few eV to a few KeV and for such energies the mean free path for inelastic<br />
scattering is small; consequently, the method samples only a few layers from the surface, Park and<br />
Houston, (1972). At certain critical potentials a core electron is excited and the subsequent de-