The ''sticking'' process dtmu --> ap + n, which constitutes the most s
evere limit to the number of fusions which a muon can catalyze, is rev
iewed. Many attempts were made to determine by calculations and measur
ements the probability for initial sticking omega(s)0 (immediately aft
er dtmu fusion) and for final sticking omega(s) (after the ag came to
rest). Previous results based on neutron disappearance rates and on th
e observation of alphamu-X-rays were controversial and also in some di
sagreement with theory. New data are reported from PSI on direct obser
vation of final sticking, using a setup with the St. Petersburg ioniza
tion chamber. These data mark a significant improvement in reliability
and may clarify questions concerning previous discrepancies. The new
result is omega(s) approximately (0.56 +/- 0.04)%, lower than the theo
ry prediction omega(s) = (0.65 +/- 0.03)%, at medium density.