Three principles, namely, a neutrality principle, a stoichiometry principle
, and a coordination principle are proposed as criteria for building up clu
ster models of metal oxides. Particular attention is focused on how to cut
out a stoichiometric cluster which possesses the smallest boundary effect f
or a given cluster size. Several criteria for determining self-consistently
the magnitudes of embedding point charges are discussed. The problem of ho
w the methods of embedding affect the calculated electronic properties of t
he substrate cluster and the adsorption properties are investigated. It is
that a better cutout cluster, which interacts less with its surroundings, w
ould depend less on the embedding scheme, while a better description of the
surroundings would improve the quality of the cutout cluster. A simple poi
nt charge model provides a stable model of the oxide surface as well as of
adsorption on the surface.