We report studies of examples of reflection-asymmetric nuclei which ar
e difficult to access using compound nucleus reactions. The octupole r
adium isotopes with N > 132 and radon isotopes are not accessible by r
eactions employing stable targets and beams; we have shown that multin
ucleon transfer reactions can populate these nuclei with sufficient yi
eld for their structure to be determined. We report high-spin studies
in Rn-218,Rn-220,Rn-222 and Ra-222,Ra-224,Ra-226,Ra-228,Ra-230: these
show that the Ra isotopes with A < 228 have the characteristics of oct
upole deformed nuclei whereas the Rn isotopes behave like octupole vib
rators. Measurements of the B(E1)/B(E2) ratios indicate that the elect
ric dipole moment in these nuclei is constant with spin. The most octu
pole deformed nuclei are predicted to be uranium isotopes with N appro
ximate to 132; measurements of the very fissile nucleus U-226 suggest
that it is octupole deformed and has a large intrinsic electric dipole
moment. Finally, we speculate that the best examples of pear shapes a
re the hyperdeformed minima predicted to lie low in uranium isotopes w
ith N approximate to 140; their signature of high-multiplicity low-ene
rgy El photon cascades should be detectable using present-day high-eff
iciency germanium arrays.