Nuclear hexadecapole antishielding factors
Abstract
Using Hartree-Fock-Slater wave functions, values of the nuclear hexadecapole antishielding factor η∞ have been calculated for the following ions: Ti3+, Mn2+, Cu+, Zn2+, Ge4+, Rb+, Zr3+, Nb5+, Tc2+, Ag+, In3+, Sb3+, Cs+, Hf3+, Re2+, Au+, Hg2+, Bi3+, Fr+, Th3+, and Am2+. The radial distortions induced in the core electrons due to nuclear hexadecapole moment were calculated using Sternheimer's perturbation numerical procedure. The contribution to η∞ due to the nf shell is much weaker in magnitude than that from the nd shell. In the three nd series of ions considered here, maximum values of η∞ are obtained in the cases of Cu+, Ag+, and Au+ ions, respectively, where the outer d shell is complete and is most external. With the assumption that a large nuclear quadrupole moment may be associated with a significant hexadecapole moment, it is suggested that of the systems examined here containing nuclei with spin I>=2, Bi3+, Re2+, Sb3+, In3+, and Mn2+ are likely to exhibit prominently nuclear hexadecapole interaction effects since these have favorable natural abundance, quadrupole moment, magnetic resonance sensitivity, and large η∞ values.
- Publication:
-
Physical Review A
- Pub Date:
- April 1975
- DOI:
- 10.1103/PhysRevA.11.1162
- Bibcode:
- 1975PhRvA..11.1162S