The internal motion in the acetylene dimer has been investigated at th
e ab initio Moller-Plesset second-order perturbation theory (MP2) leve
l, employing the double-zeta plus polarization function (DZP) basis se
t. Basis set superposition errors (BSSE) corrections were included usi
ng the counterpoise method. A two-dimensional (2D) Hamiltonian for the
tunneling motion, considering the two bending modes in the dimer plan
e was solved variationally, using as the potential energy function a t
wo-dimensional ab initio intermolecular potential energy surface (PES)
, Coupling of the intramolecular vibration and dimer internal rotation
has been neglected. Also, the synchronized one-dimensional (1D) tunne
ling motion was obtained through a change of variables which allowed t
he separation of the motion along the minimum energy path and the one
perpendicular to it. Anharmonicity corrections were also added to the
1D procedure to reach the 2D results. The calculated splitting of tran
sition frequencies are compared with the experimental data. The 1D Ham
iltonian including anharmonicity corrections is shown to be a very eff
icient and computational inexpensive procedure for treating the tunnel
ing motion.