Figure 7.1. Schematic plot of the single particle energy spectrum in a bulk semiconductor for both the electron and hole states on the left side of the panel with appropriate electron (e) and hole (h) discrete quantum states shown on the right. The upper parabolic band is the conduction band, the lower the valence. Figure 7.2. Solutions of quantum dots of varying size. Note the variation in color of each solution illustrating the particle size dependence of the optical absorption for each sample. Note that the smaller particles are in the red solution (absorbs blue), and that the larger ones are in the blue (absorbs red). Figure 7.3. La Mer model for the growth stages of nanocrystals. Figure 7.4. Synthetic apparatus for the preparation of nanocrystals. CH3(CH2)i-- (OCH2CH2)j-OH - + - + + + - - + + + - + + + - + - H2S Figure 7.5. Schematic for how cluster precipitation can occur in solution from an inverse micel. Cluster size is regulated by micel size (concentration). Figure 7.6. Atomic Force Microscope images of Ge clusters on two types of surfaces. Graphite in the left two panels, and SiO2 in the right. The line plots on the figure give vertical profiles of line cuts through the AFM images directly above and give the quantitative size information. Figure 7.7. Illustration of high-energy ion implantation process to fabricate quantum dots. Figure 7.8. Illustration of a cross sectional view of Si quantum dots formed in a glass matrix via ion implantation. Note that the random arrangement and spherical shape of the quantum dot particles is expected for quantum dots implanted in an amorphous media. Figure 7.9. Photoluminescence spectra from Si (400 keV, 1.53 x 1017 cm-2) implanted SiO2 as implanted and after annealing at 950 and 1100 °C. (From Ref. 4 by permission of the American Institute of Physics.) Figure 7.10. Scanning electron micrograph of quantum dot patterns on a GaSb surface induced by Ar-ion sputtering with an ion energy of 500 eV. The dots show a hexagonal ordering with a characteristic wavelength that depends on ion energy. The insets show the corresponding distribution of the nearest-neighbor distance. (From Ref. 5 by permission of the American Physical Society.)