We present lithium observations of 23 X-ray selected candidate members
of alpha Per, which are part of a larger sample of stars identified t
hrough two ROSAT surveys of the cluster. Our observations on one hand
allowed us to confirm membership for 18 of the candidates, thus sugges
ting that a high percentage of the whole X-ray selected candidates are
probably cluster members. On the other hand, we had the possibility t
o significantly enlarge the Li database for this cluster. The distribu
tion of Li abundances for stars in our sample (or 'new' members) is in
good agreement with that for previously known (or 'old') members, alt
hough 'new' members in the 5000-4700 T-eff interval stay on the upper
envelope of the Li vs. T-eff diagram. The comparison of the merged 'ne
w' + 'old' sample with the younger IC 2602 and IC 4665 clusters and wi
th the older Pleiades confirms that stars more massive than the Sun do
not undergo any PMS Li destruction, whereas some depletion occurs dur
ing the early phases on the ZAMS. We readdressed the issue of the star
-to-star scatter and Li-rotation connection for both a Per and the Ple
iades; as several previous studies have pointed out, fast rotators, as
a group, show higher lithium than slow rotators. At the same time, ho
wever, fast rotators exhibit a much narrower dispersion than slow rota
tors. We demonstrate that this dicothomy is unlikely due to projection
effects and suggest that the reason for it could reside in the PMS ro
tational history and, in particular, in the presence (absence) of a ci
rcumstellar disk. As to very cool stars (T-eff < 4500 K), we find that
a Per members do not seem to have higher lithium than the Pleiades. T
his result, however, must be confirmed with a larger sample of a Per s
tars before any conclusion can be drawn.