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Abstract
The dynamics of the electron could cloud in sodium clusters for a small (linear) and large (nonlinear) amplitude excitations are investigated. In particular, the interpretation of strength function and power spectra as obtained from the dynamical calculations are discussed.
In such a case, the time dependent local density approximation is employed (TDLDA) to describe the valence electron of the cluster and the detailed ionic background using local psedoupotentials.
We use the density functional theory (DFT), where the exchange correlation energy is treated approximately in the local density approximation (LDA).
In practice, we use the exchange correlation functional of Gunnarsson and Lundqvist which has been used widely in the study of structure and dynamics of metal cluster.
The typical feature of the spectra is a well developed Plasmon resonance peak which split into two or more peaks in the case of deformed clusters.
The first chapter is an introduction. In chapter 2, a brief view is given for the many body problem and some theoretical studies of the electronic properties of metal clusters in the framework of density fuctional theory.
Chapter 3, concentrates on the importance of treating the ions valence interaction by using the pseudopotential in the conjunction with the Jullium model.
Also, the numerical representation of both the psrudopotential and pseudodensity on a three dimensional grid is also given in this chapter.