A method is proposed for the vibrational assignment of large molecules
, based on the kinetic energy distribution among different groups of i
nternal coordinates. It is related to the treatment of constrained mot
ion and requires a coordinate change for a transformation of the whole
vibrational space into two orthogonal subspaces. The normal mode desc
ription obtained by this procedure is compared with that suggested by
the familiar potential energy distribution, using 2,2'-bipyrimidine as
a test molecule. It is found that a criterion based on kinetic energy
distribution gives a correct representation of the low frequency mode
s, associated with translation or rotation of the pyrimidine rings. It
also attributes a proper weight to internal displacements associated
with large diagonal force constants and is not influenced by the value
of the vibrational frequencies.