  The interaction potential energy among particles in many systems is of the
form of r^-(alpha), at least at long distances. It has been argued that, in
systems for which (alpha) < d (d is the space dimension) we encounter with
nonextensive (nonintensive) thermodynamic functions. A scaling parameter N~ has
been introduced to make nonextensive (nonintensive) thermodynamic functions of
such systems extensive (intensive) functions. Our simulation results show that
this parameter is not capable of making thermodynamic functions of a nanosystem
extensive (intensive). Here we have presented a theoretical justification for
the ability of such scaling parameter, and then we have generalized this
scaling parameter to be capable of making nonextensive (nonintensive)
thermodynamic functions of nanosystems extensive (intensive). This parameter is
proportional to the potential energy per particle at zero temperature.

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