The identity of the carriers of the diffuse interstellar bands (DIBs) is on
e of the most fascinating puzzles of modern spectroscopy. Over the last few
years the number of known DIBs has grown substantially. In this paper we d
iscuss the two recently discovered near-infrared weak interstellar features
which have already been proposed as fingerprints of the buckminsterfullere
ne C-60(+). We present and discuss measurements of the two related DIBs wit
hin a larger sample of reddened targets, observed with different spectromet
ers, telescopes and site conditions. We provide additional arguments in fav
our of the interstellar origin of the two bands. We find evidence around th
e 9577-Angstrom DIB of far-wing structures, which may affect broad-band mea
surements. We estimate corrections and errors for telluric and stellar blen
ds, and show that the cores of the two DIBs are well correlated with a rati
o near unity within 20 per cent. Finally, we discuss their relation to the
laboratory spectra of C-60(+), and the search for two expected weaker C-60(
+) transitions.