The known level scheme of Hf-172 has been extended with three new coll
ective rotational bands. Many new transitions have also been observed
which link the known bands into the lower-spin states, thereby permitt
ing unambiguous spin and parity assignments to be made for the first t
ime. In particular seven low-intensity gamma-ray transitions have been
established which link the K = 12 intrinsic state into a series of lo
wer-K stales. The half-life of the K = 12 state has been determined to
be less than 2 ns and reduced hindrance factors have been calculated
for each of the new decay transitions. In apparent conflict with the K
-selection rule, most of these new decays have small reduced hindrance
factors. The reasons for this apparent breakdown in the K-selection r
ule are discussed in terms of a mixing between states of both low- and
high-g. In addition the mean lifetimes of the states in four of the c
ollective rotational bands have been determined using the Doppler shif
t attenuation method. The deformations extracted from these measuremen
ts are in good agreement with predictions from theoretical Total Routh
ian Surface calculations based on the proposed configuration assignmen
ts. (C) 1998 Elsevier Science B.V.