Due to the nonlinearity of internal molecular coordinate space, comprehensi
ve statistical mechanical treatment of polyatomic molecules presents a form
idable theoretical problem where traditional statistics does not hold. Here
we introduce a new theoretical approach to the hindered internal rotor pro
blem, which relies on simulated statistics of microstates, rather than on f
irst-principles calculations of the partition function. The concept links t
raditional statistical-mechanical thermodynamics to an authentic treatment
of curvilinear descriptive statistics. The results are illustrated by class
ical molecular dynamics simulations.