Nuclear Moments and Intermediate Coupling

摘要

The effect of intermediate coupling on the calculation of the nuclear moments of the rare earths from analyses of hyperfine structure is examined. It is shown that the observed hyperfine splittings may be satisfactorily interpreted as due to the interaction of the spin and orbital moments of 4felectrons with the nuclear magnetic and electric quadrupole moments. The interaction of the electronhyphen;spin moments with the nuclear magnetic moment is shown to be very sensitive to the form of the coupling. The consistency of the measurements of nuclear moments by atomichyphen;beam and paramagnetic resonances is discussed. Instead of using the more usual spinhyphen;Hamiltonian formalism, the matrix elements of the interactions are calculated explicitly in terms of the actual quantum numbers of the states involved. Calculations are presented for Pr141and Ho165.