The phase transition occurring at 25 K in NpO2, discovered almost 50 years
ago, is the most longlasting mystery in the physics of actinide compounds.
Theories based on magnetic or electric-quadrupole order lead inevitably to
fundamental, qualitative inconsistencies with observations. We show that th
e phenomenology of NpO2 can be understood if the order parameter is assumed
to be a magnetic octupole of Gamma(2) (xyz) symmetry. NpO2 is the first co
mpound For which indications of an octupolar phase transition have been fou
nd.