An expectation value approach to calculations of first-order propertie
s using the non-iterative, triple-excitation amplitudes in the coupled
cluster wave function is exploited. Three methods are suggested and a
nalysed using the many body perturbation theory (MBPT) expansion argum
ents. The first method, in which non-iterative triple-excitation ampli
tudes are used in the expression for the expectation values, makes the
wave function accurate through the second order of MBPT. In the secon
d method, which is an extension of the first, effects of triple-excita
tion amplitudes are coupled with single-and double-excitation amplitud
es. The correlated density matrix equivalent through the fourth order
to that obtained when CCSDT-la amplitudes are used is employed in the
third method. The suggested methods are tested on dipole moment and po
larizability calculations for several diatomic closed-shell molecules
and are compared to other related approaches.