<p>Diffusion Monte Carlo (DMC) and Reptation
Monte Carlo (RMC) methods, have been applied to study some properties of the
NaK molecule. Hartree-Fock (HF), Density Functional (DFT) and single and double
configuration interaction (SDCI) wavefunctions with a valence quadruple zeta
atomic natural orbital (VQZ/ANO) basis set were used as trial wavefunctions.
Values for the potential energy curve, dissociation energy and dipole moment
were calculated for all methods and compared with experimental results and
previous theoretical derivations. Quantum Monte Carlo (QMC) calculations were
shown to be useful methods to recover correlation in NaK, essential to obtain a
reasonable description of the molecule. The equilibrium distance—interpolated
from the potential energy curves—yield a value of 3.5 Å, in agreement with the
experimental value. The dissociation energy, however, is not as good. In this
case, a conventional CCSD(T) calculation with an extended aug-pc-4 basis set
gives a much better agreement to experiment. On the contrary, the CCSD(T),
other MO and DFT methods are not able to reproduce correctly the large dipole
moment of this molecule. Even DMC methods with a simple HF trial wavefunction
are able to give a better agreement to experiment. RMC methods are even better,
and the value obtained with a B3LYP trial wavefunction is very close to the
experimental one.</p>