文摘
The electronic structures of n-type ZnO nanocrystals formed via photochemical reduction and by aliovalent doping with aluminum are investigated using time-dependent density functional theory. Connections between the density functional theory results and a simple quantum-mechanical particle-in-a-spherical-potential model are highlighted. Molecular orbitals obtained from density functional theory reveal the often-invoked S-, P-, D-, ... type 鈥渟uper鈥?orbitals used to characterize the absorption spectra of these materials.