We have recorded an angle-resolved photoelectron spectrum of the first
four vibrational peaks of the X (2)Sigma(g)(+) state of H-2(+). In th
e spectrum, the individual peaks of the Delta N=0 rotational branch ar
e completely resolved. From curve fitting of the rotational branches,
we found the anisotropy parameter of the /<(mu)over bar>(0,0)/(2) squa
red reduced multipole moment matrix element to be beta=1.85, with no s
ignificant difference between the vibrational states. For the /<(mu)ov
er bar>(2,0)/(2) squared reduced multipole moment matrix element, we f
ound beta(v=0) = 0.83, decreasing slightly at higher vibrational level
s. The earlier observed increase in the beta parameter with vibrationa
l quantum number is mainly explained by a decreased size of /<(mu)over
bar>(2,0)/(2) relative to /<(mu)over bar>(0,0)/(2), dominating the be
ta decrease of the /<(mu)over bar>(2,0)/(2) squared reduced multipole
moment matrix element itself. We have also determined the beta value o
f individual peaks in the Delta N=0 branch. The difference in beta bet
ween the peaks in this branch is small. In particular, the 0-0 transit
ion does not seem to have a considerably higher beta value than the ot
her members of the Delta N=0 branch, which is expected from theory.