Hyperfine Structure Formulas for LS Coupling
Abstract
Formulas for the interval factor A and the quadrupole coupling factor B in the hyperfine structure formula, W=W_{J}+12AK+BK(K+1), are derived with Racah's tensor algebra. The results are directly applicable to light atoms (Z<50) that show good LS coupling. Data of White and Ritchl for manganese are analyzed, and an approximate value of the nuclear quadrupole moment in Mn^{55} of Q=1×10^{24} cm^{2} is obtained. This confirms another approximate value of Q=0.5×10^{24} cm^{2} recently obtained by microwave methods. An error in the calculation carried out by Brown and Tomboulian to evaluate the Q of tantalum is noted. A relation satisfied by X functions is derived, which simplifies their numerical evaluation.
 Publication:

Physical Review
 Pub Date:
 October 1953
 DOI:
 10.1103/PhysRev.92.308
 Bibcode:
 1953PhRv...92..308T