Electronic structure and binding energies of aluminum clusters

Electronic structures and binding energies of Al₁₃, Al₄₃, and Al₅₅ clusters with Iₕ and fcc (Oₕ) symmetries are calculated by density-functional theory (DFT) with a spin-unrestricted local-density-approximation discrete-variational-method X{α} scheme. The Iₕ structure is found to be much more stable than fcc for Al₁₃. For Al₅₅, the total binding energy of the fcc cuboctrahedron is about 0.5 eV lower than the Iₕ, which implies a transition from a polyhedral to a lattice-based structure with cluster size. The ionization energies, electron affinities, and energy spectra and densities of states are also calculated for selected sizes and geometries. The ionization potentials and electron affinities agree with experimental data very well. The crystal-field splitting is estimated by correlating energy levels with those from jellium-model calculations of Chou and Cohen and explains the anomalies of the experimental ionization-potential curve successfully.