The vibrational state of a polyatomic molecule excited with a transfor
m limited light pulse is determined analytically. We analyze how the p
roperties of the vibrational state depend on the duration of the excit
ing pulse and the possible geometrical configurations of the nuclear p
otential surfaces. It is pointed out that a finite exciting pulse resu
lts in an entangled vibrational state. The magnitude of the entangleme
nt is described by the von Neumann entropy associated with the vibrati
onal modes. It is shown that in the case of a very short excitation, t
he change of the geometrical configuration of the vibrionic potential
surface may also lead to entanglement.