Following our previous study on spin-rotation and shielding constants of the SF 6 molecule, the rotational g factor and the magnetic susceptibility are calculated here, using ab initio methods to evaluate the electronic contribution to the nuclear hyperfine constants, and compared with experimental results. It is shown, for the first time, that the electronic component of the rotational g factor is proportional to a constant, which is given by a sum over electronic states. We also evaluate for the SF 6 molecule the indirect, or electron-coupled spin-spin interaction, theoretically described by Ramsey, and show that it gives non-negligible corrections to direct coupling constants d 1 and d 2 . The contributions of the terms included in this interaction (DSO, PSO, SD and FC) are also analysed.
IntroductionThe study of nuclear hyperfine interactions in molecules, namely the nuclear spin-spin constants and rotational g tensor, has lead to many important applications in physics, chemistry, biology and medicine. The development of the theoretical formalism and methods of calculation suitable for their interpretation requires a continued research effort.In the 1970s and 1980s hyperfine structures were recorded with ultra-high resolution in the vibration-rotation molecular spectra of highly symmetric molecules [1][2][3][4]. The hyperfine constants were expressed by the sum of nuclear constants and electronic constants expressed by second-order perturbation theory as a summation over a complete set of excited states inaccessible by hand calculation. More recently, in the last twenty years, the hyperfine interactions have been also studied within the framework of the NMR experiments.In a recent work [5], we studied the hyperfine structures detected in the spectra of highly symmetric molecules (particularly O h point group). We reported the spin-rotation and the shielding constants, which were obtained using tensorial formalism and ab initio methods to evaluate the electronic contribution.Using a similar approach and ab initio methods to evaluate the electronic contributions, we discuss in the present work how the rotational g factor, included in