In the past years, a large body of work has been dedicated to semiconductor quantum dots embedded in thin films of oxide and nitride, as the tailorable electronic and optical properties of these nanostructures make them desirable for various optoelectronic applications. The properties of these low-dimensional semiconductor systems are directly related to the atomic arrangement, distribution and size of the quantum dots, the structure of the surrounding matrices and the distance between the quantum dots. The quantum confinement of carriers in the quantum dots, their interaction, and local states in the matrices are the dominating factors determining the material properties.The present work focuses on studying the atomic structures of these materials, and how their optical and electronic properties vary as a function of size and structure. Two material systems were especially synthesized as part of this work; Si and Ge quantum dots embedded This PhD project was motivated by the potential of the third generation solar cells, which seek to increase the device efficiency above the Shockley-Queisser limit, and the recent advances in aberration-corrected scanning transmission electron microscopy and electron energy loss spectroscopy that allow the investigation of the electronic structure and chemistry of materials with sub-angstrom spatial resolution. The work focused on studies of the structure and electronic properties of semiconductor quantum dots using mainly transmission electron microscopy and electron energy-loss spectroscopy. The synthesis and structural characterization of the semiconductor quantum dots were carried out at the Structure Physics group, University of Oslo. Due to the extremely small dimensions of the quantum dots and the need of high spatial and energy resolution instrument for very detail experiments, the investigation of the quantum dots' chemical bonding and electronic properties was carried out by advanced analytical scanning transmission electron microscopy at the SuperSTEM Laboratory. There is a direct continuation of, and an improvement on, the important and novel results reported in the first to the third paper, which provided one of the first direct experimental evidence for the presence of quantum confinement effects in individual Si and Ge quantum dots in a dielectric matrix. The contribution from this work very much provides an improved understanding of the condensed matter physics responsible for the quantum behaviors of the quantum dots, while from a practical point of view it would also arguably provides important result for the photovoltaic community concerned with device/materials performance.vii