Methane molecules in a square lattice perform hindered rotation due to the
molecular interaction. First, the one-body term in the interaction gives th
e new pattern of rotational energy level scheme, In the case of strong inte
raction, this scheme becomes similar to tunneling levels calculated from th
e pocket state formalism, Secondly, the two-body term produces a potential
with lower symmetry. We investigate the case of a ferro-orientational phase
. Four levels remain in the lowest part of rotational energy spectrum under
the field strength estimated from the sum of atom-atom pair potentials. Th
is small number of levels approaches to more realistic systems. (C) 1999 El
sevier Science Ltd. All rights reserved.