  Advancement in nanotechnology is dependent on the understanding of the
behavior of matter in nanoscale. In this report we have demonstrated, through a
unique molecular simulation procedure, that properties of matter in nanosystems
do not follow the same rules as in macroscopic systems. More specifically, it
is shown that extensive properties such as internal energy and entropy are not
extensive, and intensive properties such as temperature and pressure are not
intensive in nanosystems, in contrast to macroscopic systems. Variations of the
Euler exponents for these properties as a function of the number of particles
of the system are reported. As the size of the system increases, the value of
these exponents approach integers that correspond to the macroscopic systems.
