Nuclear Magnetic Dipole and Electric Quadrupole Energy Relations

Abstract

Calculations based on existing theory of nuclear magnetic dipole and electric quadrupole transitions provide general expressions in closed form relating $I$, $\ensuremath{\mu}{H}_{0}$, ${e}^{2}\mathrm{Qq}$, $\ensuremath{\eta}$, $\ensuremath{\theta}$, and $\ensuremath{\varphi}$ to experimentally determined frequencies ${\ensuremath{\nu}}_{\mathrm{ij}}$. The angles $\ensuremath{\theta}$ and $\ensuremath{\varphi}$ determine the orientation of ${\mathbf{H}}_{0}$ in the principal axis system of $\ensuremath{\nabla}\mathrm{E}$. Methods of applying the expressions in specific situations are discussed. Application of the procedure to similar systems, such as the asymmetric rotator, is pointed out.