  We present results for $\beta$-decay half-lives based on a new recipe for
calculation of phase space factors recently introduced. Our study includes
$fp$-shell and heavier nuclei of experimental and astrophysical interests. The
investigation of the kinematics of some $\beta$-decay half-lives is presented,
and new phase space factor values are compared with those obtained with
previous theoretical approximations. Accurate calculation of nuclear matrix
elements is a pre-requisite for reliable computation of $\beta$-decay
half-lives and is not the subject of this paper. This paper explores if
improvements in calculating the $\beta$-decay half-lives can be obtained when
using a given set of nuclear matrix elements and employing the new values of
the phase space factors. Although the largest uncertainty in half-lives
computations come from the nuclear matrix elements, introduction of the new
values of the phase space factors may improve the comparison with experiment.
The new half-lives are systematically larger than previous calculations and may
have interesting consequences for calculation of stellar rates.
