  We study theoretically large metal clusters containing vacancies. We propose
an approach, which combines the Kohn-Sham results for monovacancy in a bulk of
metal and analytical expansions in small parameters $c_{v}$ (relative
concentration of vacancies) and $R_{N,v}^{-1}$, $R_{N,v}$ being cluster radius.
We obtain expressions of the ionization potential and electron affinity in the
form of corrections to electron work function, which require only the
characteristics of 3D defect-free metal.
  The Kohn-Sham method is used to calculate the electron profiles, ionization
potential, electron affinity, electrical capacitance, dissociation, cohesion
and monovacancy-formation energies of the small perfect clusters Na$_{N}$,
Mg$_{N}$, Al$_{N}$ ($N \leq 270$) and the clusters containing a monovacancy
($N\geq 12$) in the stabilized-jellium model. The quantum-sized dependences for
monovacancy-formation energies are calculated for the Schottky scenario and the
"bubble blowing" scenario, and their asymptotic behavior is also determined. It
is shown that the asymptotical behaviors of size dependences for these two
mechanisms differ from each other and weakly depend on the number of atoms in
the cluster. The contribution of monovacancy to energetics of charged clusters,
the size dependences of their characteristics and asymptotics is discussed. It
is shown that difference between the characteristics for the neutral and
charged cluster is entirely determined by size dependences of ionization
potential and electron affinity. Obtained analytical dependences may be useful
for the analysis of the results of photoionization experiments and for the
estimation of the size dependences of the vacancy concentration including the
vicinity of the melting point.
