First Principles Studies of Electronic and Optical Excitations in Noble Metal and Titania Clusters

Clusters are metastable structures that form a bridge between the atomic and the bulk phase. Due to their small size, quantum confinement effects are very important in clusters. They also have large surface to volume ratio, and as such, surface effects are also important. Due to these effects the properties of clusters are quite different from those of the bulk. When the size of a cluster is increased, its properties change from atomic to bulk values usually in nontrivial ways, often displaying interesting effects. By studying the evolution of cluster properties as a function of size one can try to understand the evolution and origin of bulk properties.;This thesis concentrates on two main topics, noble-metal clusters of Ag and Cu, and TiO2 nanocrystals. I present my study of the optical properties of these systems calculated using first principles methods. Noble metal clusters have intriguing physical and chemical properties due to their electronic structure that contains a fully filled and localized d orbital energetically and spatially very close to the half filled s orbital. In Chapters 3 and 4 of this thesis, I present a detailed study of the role of d electrons on the optical properties of Ag and Cu clusters. I also show that the optical spectra of these clusters can be explained remarkably well by the classical Mie-Gans theory which uses the bulk dielectric constant of the material to predict their optical absorption spectra. The fact that the concept of the bulk dielectric constant survives up to the sub-nanometer size range is one of the main findings of this thesis.;TiO2 is arguably the most studied single-crystalline material in the field of surface science of metal oxides. In chapter 5 of this thesis I present results and analyses on the electronic and optical excitations in rutile TiO2 nanocrystals. The motivation for this study stems from the following observation: In modeling optical prooperties of DSSC configurations with various organic molecules, a typical approach has been to use a finite, appropriately passivated TiO2 nanocrystal in order to limit the computational demand. In real systems on the other hand, the size of nanocrystalline TiO2 is of the order of several hundreds of nanometers, and hence, they can be considered to be essentially bulk-like. The question is then, whether finite TiO2 nanoparticles can accurately model the optical properties of bulk TiO2. I show in my thesis that the optical absorption absorption spectra of such TiO2 nanocrystals do not have the particular features seen in the imaginary part of the bulk dielectric function of TiO 2 associated with the van Hove singularities in the electronic density of states. Instead, the absorption spectra of bulk-terminated TiO2 nanocrystals can be reproduced quite well by the Mie-Gans theory.