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Anapole moments are parity-odd, time-reversal-even moments of the E1projection of the electromagnetic current. Although it was recognized, soonafter the discovery of parity violation in the weak interaction, thatelementary particles and composite systems like nuclei must have anapolemoments, it proved difficult to isolate this weak radiative correction. Thefirst successful measurement, an extraction of the nuclear anapole moment of133Cs from the hyperfine dependence of the atomic parity violation, wasobtained only recently. An important anapole moment bound in Tl also exists. Wediscuss these measurements and their significance as tests of the hadronic weakinteraction, focusing on the mechanisms that operate within the nucleus togenerate the anapole moment. The atomic results place new constraints on weakmeson-nucleon couplings, ones we compare to existing bounds from a variety ofp-p and nuclear tests of parity nonconservation.Comment: 35 pages; 8 figures; late

ATOMIC PARITY NONCONSERVATION AND NUCLEAR ANAPOLE MOMENTS