  We discuss the nuclear anapole moment, a new P odd, T even electromagnetic
multipole. Its discovery in the cesium experiment gives a first-rate
information on parity-nonconserving nuclear forces. New prospects in the field
are considered. Upper limits on the electric dipole moments, which are P odd, T
odd multipoles, of elementary particles and atoms are presented, and their
physical implications discussed. The atomic experiments are demonstrated to be
as informative in this respect as the neutron ones. Tremendous progress in the
field can be expected from experiments at ion storage rings and linear
electrostatic traps.
