Hyperfine Structure Formulas for LS Coupling
1953; American Institute of Physics; Volume: 92; Issue: 2 Linguagem: Inglês
10.1103/physrev.92.308
ISSN1536-6065
Autores Tópico(s)Molecular Spectroscopy and Structure
ResumoFormulas for the interval factor $A$ and the quadrupole coupling factor $B$ in the hyperfine structure formula, $W={W}_{J}+\frac{1}{2}AK+BK(K+1),$ are derived with Racah's tensor algebra. The results are directly applicable to light atoms ($Z<50$) that show good $\mathrm{LS}$ coupling. Data of White and Ritchl for manganese are analyzed, and an approximate value of the nuclear quadrupole moment in ${\mathrm{Mn}}^{55}$ of $Q=1\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}$ ${\mathrm{cm}}^{2}$ is obtained. This confirms another approximate value of $Q=0.5\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}$ ${\mathrm{cm}}^{2}$ 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.
Referência(s)