  In the previous paper I \cite{bhagwat20} we have shown that self-consistent
Extended Thomas-Fermi (ETF) potentials and densities associated with a given
finite-range interaction can be parametrized by generalized Fermi
distributions. As a next step, a comprehensive calculation of ground-state
properties of a large number of spherical and deformed even-even nuclei is
carried out in the present work using the Gogny D1S force within the ETF
scheme. The parametrized ETF potentials and densities of paper I are used to
calculate the smooth part of the energy and the shell corrections within the
Wigner-Kirkwood semiclassical averaging scheme. It is shown that the shell
corrections thus obtained, along with a simple liquid drop prescription, yield
a good description of ground-state masses and potential energy surfaces for
nuclei spanning the entire periodic table.
