A systematic study of the self-diffusion coefficient in
hard-sphere fluids, Lennard-Jones fluids,
and real compounds over the entire range of gaseous and liquid states
is presented. First an
equation is proposed for the self-diffusion coefficient in a
hard-sphere fluid based on the molecular
dynamics simulations of Alder et al. (J. Chem. Phys.
1970, 53, 3813) and Erpenbeck and
Wood
(Phys. Rev. A
1991, 43, 4254).
That expression, extended to the Lennard-Jones fluids
through
the effective hard-sphere diameter method, represents accurately the
self-diffusion coefficients
obtained in the literature by molecular dynamics simulations, as well
as those determined
experimentally for argon, methane, and carbon dioxide. A rough
Lennard-Jones expression,
which contains besides the diameter σLJ and energy
εLJ the translational−rotational factor,
A
D
(which could be correlated with the acentric factor), is adopted to
describe the self-diffusion in
nonspherical fluids. The energy parameter is estimated using a
correlation obtained from
viscosity data, and the molecular diameter is obtained from the
diffusion data themselves. The
equation represents the self-diffusion coefficients with an average
absolute deviation of 7.33%,
for 26 compounds (1822 data points) over wide ranges of temperature and
pressure.