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Physical Review A

Argon-induced g -factor shift in potassium

Richard R. Freeman, William E. Cooke

Published May 1, 1976• 6 citations
Publisher

Abstract

The $g$ factor of the $^{2}\ensuremath{\Sigma}$ Van der Waals molecule KAr has been measured relative to the $g$ factor of free potassium using molecular-beam magnetic-resonance techniques. A theoretical treatment of the $g$ factor of the molecule is presented that predicts the $g$ factor to be shifted from the value for the free potassium atom by an amount proportional to the ratio $\frac{\ensuremath{\gamma}}{B}$, where $\ensuremath{\gamma}$ and $B$ are the spin-rotational and rotational constants of the molecule, respectively. The experimental results show the molecular $g$ factor to be less than the value for free potassium by approximately 25 ppm, in agreement with the prediction.

DOI
10.1103/physreva.13.1692

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The ggg factor of the 2\ensuremathΣ^{2}\ensuremath{\Sigma}2\ensuremathΣ Van der Waals molecule KAr has been measured relative to the ggg factor of free potassium using molecular-beam magnetic-resonance techniques. A theoretical treatment of the ggg factor of the molecule is presented that predicts the ggg factor to be shifted from the value for the free potassium atom by an amount proportional to the ratio \ensuremathγB\frac{\ensuremath{\gamma}}{B}B\ensuremathγ​, where \ensuremathγ\ensuremath{\gamma}\ensuremathγ and BBB are the spin-rotational and rotational constants of the molecule, respectively. The experimental results show the molecular ggg factor to be less than the value for free potassium by approximately 25 ppm, in agreement with the prediction.
We report a study, by molecular beam methods, of the alkali–rare gas van der Waals molecule KAr. Paramagnetic potassium–argon molecules were produced in a supersonic molecular beam, and their magnetic hyperfine structure probed by resonance techniques. The principle interaction studied is the spin–rotational coupling of the spin angular momentum h/S of the alkali valence electron and the rotational angular momentum h/N of the molecule. The measured value of the interaction constant γ in the (v=0, N=0) molecular state is 240(10) kHz. Limits have been set on the variation of γ with R, the internuclear separation, over the range R=9 to 13 bohr.
We have investigated the spin-rotation interaction in the van der Waals molecule RbKr using molecular-beam magnetic-resonance techniques. The bound $^{2}\ensuremath{\Sigma}$ molecules were produced in an expansion-cooled molecular beam and the interaction between the electronic spin angular momentum ($\ensuremath{\hbar}\stackrel{\ensuremath{\rightarrow}}{\mathrm{S}}$) of the rubidium valence electron and the rotational angular momentum ($\ensuremath{\hbar}\stackrel{\ensuremath{\rightarrow}}{\mathrm{N}}$) of the molecule was probed by magnetic resonance. A value for the strength of the interaction and a model of its dependence upon the internuclear separation were obtained. Results of numerical calculations of all bound and quasibound vibrational-rotational states of the RbKr ground-state potential are presented. These wave functions permit a detailed comparison of the results obtained by this technique and those obtained by M. Bouchiat et al. using optical-pumping techniques in a high-temperature gas cell. Excellent agreement is obtained when all of the relevant molecular states are considered.
The hyperfine interaction of K in KAr has been measured in several vibrational states of KAr. The results yield a value for the hyperfine shift $\ensuremath{\alpha}$ as a function of internuclear separation RRR given by $\ensuremath{\alpha}=\ensuremath{-}115(R\ensuremath{-}{R}_{0})$ kHz, where RRR is in bohrs and R0=12.0{R}_{0}=12.0R0​=12.0 bohr, valid over the range 10.25bohr<R<12.0bohr10.25 \mathrm{bohr}<R<12.0 \mathrm{bohr}10.25bohr<R<12.0bohr.
A theory for calculating the spin–rotation coupling coefficient in alkali-metal–noble-gas van der Waals molecules was recently presented.1 It assumes the spin–rotation interaction in alkali-metal–noble-gas molecules to be mainly due to the spin–orbit interaction of the alkali-metal valence electron within the core of the noble gas, and predicts that the spin–rotation constant γ should depend on the spin–orbit interaction in the noble gas and be almost independent of the spin–orbit interaction of the alkali-metal atom. Experimentally, only a few of the possible pairs of the different alkali-metal atoms with different noble-gas atoms have been investigated. By measuring the sodium spin relaxation rate as a function of the helium buffer-gas pressure and the width of the sodium magnetic slowing-down curve, we report in this paper our experimentally determined value of the spin–rotation interaction constant in Na–Xe molecules γ = (1.1 ± 0.3)MHz. The measured value is nearly the same as was measured in K–Xe, Rb–Xe, and Cs–Xe.1 This result shows a reasonable agreement with the theoretical prediction.