New evolutionary models for pre-main sequence (PMS) stars (0.4M(circle
dot)less than or equal to M less than or equal to 5M(circle dot)) of
three different metallicities (Z = 0.005, Z = 0.02, and Z = 0.04) have
been computed. Improvements have been made in the constitutive physic
s with the use of new opacity tables at low temperatures and new atmos
pheric models. We first compare our mass tracks with other recent PMS
models and show that important deviations occur below 0.5M(circle dot)
, due to different treatments of the electrostatic corrections in cool
degenerated matter. We first check the ability of our models to repro
duce the ZAMS location and the low-mass end of the isochrones. From th
e turn-off in the My versus (B-V) diagram, we estimate ages of 4 10(7)
for alpha Per cluster and between 8 10(7) and 10(8) yr for the Pleiad
es, ages comparable or lower than recent determinations including over
shooting. These evolutionary models are used to,generate synthetic Her
tzsprung-Russell Diagrams (HRD). We show that each of the different pa
rameters, namely the initial mass function (IMF), the star formation r
ate (SFR) and the binary fraction affect in a specific way the morphol
ogy of the derived HRD. We propose to use these synthetic diagrams to
constrain some of these quantities in observed open clusters. Applying
this procedure to the Pleiades cluster, the observed morphology is be
st reproduced by invoking a large age dispersion (sigma(t) similar or
equal to 3 x 10(7) yr) and a binary fraction for F-G stars of 40 % +/-
5 %.