Dimensionality Scaling of Clusters Size Effects

Cluster size equations, which describe the gradual “transition” of energetic, electronic, vibrational and spectroscopic attributes of clusters to the infinite bulk system, were derived on the basis of cluster packing effects or by the evaluation of the excluded volume contributions. Dimensionality scaling of cluster size equations will be applicable for the interrogation of the ground state energetics, ionization potentials and electronic spectroscopy of clusters of low geometrical dimensionalities, e.g., wire clusters (D = 1) or planar clusters (D = 2), and for fractal clusters, e.g., clusters of porous materials.