Spin-Lattice Relaxation Time Due to the Quadrupole Moment of Au¹⁹⁷ in Gold Metal

Abstract

By use of the single-OPW, the expression for the spin-lattice relaxation time T₁^(Q) due to the quadrupole interaction is derived taking into account the electron interaction. The matrix element of the quadrupole interaction is calculated by use of the representation of the rotation group, and it is found that the effect of the core enhancement is represented by a function, α(q), depending on the magnitude of the scattering wave vector q of an electron and α(2k_F) agrees with the core enhancement factor by Kohn and Vosko. The numerical calculation leads to T₁^(Q)T=32 sec K which is considerably large in comparison with the value, 13 sec K, estimated from the deviation from the Korringa relation due to the electron interaction. When the value of α(2k_F), for silver, estimated by Fukai by use of the single-pseudo-wave function is taken into account, a reasonable value is obtained.