Manifestations of nuclear anapole moments in solid-state NMR

We suggest using insulating garnets doped by rare-earth ions for measurements of nuclear anapole moments. A parity violating shift of the NMR frequency arises due to the combined effect of the lattice crystal field and the anapole moment of the rare-earth nucleus. We show that there are two different observable effects related to frequency: (1) a shift of the NMR frequency in an external electric field applied to the solid; the value of the shift is about {delta}{nu}{sub 1}{approx}10{sup -5} Hz with E=10 kV/cm; (2) a splitting of the NMR line into two lines. The second effect is independent of the external electric field. The value of the splitting is about {delta}{nu}{sub 2}{approx}0.5 Hz and it depends on the orientation of the crystal with respect to magnetic field. Both estimates are presented for a magnetic field of about 10 T. We also discuss a radio frequency electric field and a static macroscopic magnetization caused by the nuclear anapole moment.