A theoretical/computational
description and analysis of the spectra
of electron binding energies of Al12
–, Al13
–, and Al12Ni– clusters, which differ in size and/or composition by a single atom
yet possess strikingly different measured photoelectron spectra, is
presented. It is shown that the measured spectra can not only be reproduced
computationally with quantitative fidelitythis is achieved
through a combination of state-of-the-art density functional theory
with a highly accurate scheme for conversion of the Kohn–Sham
eigenenergies into electron binding energiesbut also explained
in terms of the effects of size, structure/symmetry, and composition.
A new methodology is developed and applied that provides for disentanglement
and differential assignment of the separate roles played by size,
structure/symmetry, and composition in defining the observed differences
in the measured spectra. The methodology is general and applicable
to any finite system, homogeneous or heterogeneous. We project that
in combination with advances in synthesis techniques this methodology
will become an indispensable computation-based aid in the design of
controlled synthesis protocols for manufacture of nanosystems and
nanodevices with precisely desired electronic and other characteristics.