The torsion-inversion potential surface for hydrazine has been determi
ned from the rovibrational data using a new rotation-torsion-inversion
Hamiltonian. All elements of the inverse moment of inertia tensor hav
e been expanded into mixed Fourier series of large amplitude coordinat
es. That gives two major advantages: (i) no numerical integration is n
ecessary al any step of calculation, and (ii) the three-dimensional in
tegrals have been replaced by the products of one-dimensional integral
s. It has been proven that the inversion-torsion coupling in hydrazine
is negligible and the inversion-inversion coupling is very strong. Th
e barrier to inversion of 2072 cm(-1) is slightly higher than that in
ammonia and the barrier to internal rotation of 934 cm(-1) is relative
ly high but lower than that determined previously from one-dimensional
models. (C) 1997 Academic Press.