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- W1994573146 abstract "Magnetic resonance transitions have been observed among several Zeeman sublevels of the hyperfine states of ${mathrm{H}}_{2}^{+}$ in magnetic fields from 50 to 115 mG. The following $g$-factor ratios $frac{g(K{F}_{2}F)}{g({K}^{ensuremath{'}}F_{2}^{}{}_{}{}^{ensuremath{'}}{F}^{ensuremath{'}})}$ have been determined: $frac{g(1 frac{1}{2} frac{3}{2})}{g(1 frac{3}{2} frac{5}{2})}=0.584(3)$; $frac{g(1 frac{3}{2} frac{3}{2})}{g(1 frac{3}{2} frac{5}{2})}=1.241(6)$; $frac{g(1 frac{1}{2} frac{3}{2})}{g(3 frac{3}{2} frac{9}{2})}=1.051(5)$. An analysis using the ratios yields equations relating the hyperfine interaction constants $b$, $c$, and $d$ in the Hamiltonian $H=bmathbf{I}ifmmodecdotelsetextperiodcenteredfi{}mathbf{S}+c{I}_{z}{S}_{z}+dmathbf{K}ifmmodecdotelsetextperiodcenteredfi{}mathbf{S}$, such as $frac{(frac{sqrt{2}c}{6}ensuremath{-}frac{sqrt{2}d}{3})}{(frac{3b}{2}+frac{23c}{30ensuremath{-}frac{d}{6}})}=(frac{8}{sqrt{5}}){[frac{g(1 frac{1}{2} frac{3}{2})}{g(3 frac{3}{2} frac{9}{2})}]ensuremath{-}1}$. When nuclear contributions to the $g$ factors are included and a weighted average of the measured ratios is used with theoretical values of $b$ and $c$ from the literature, a value for $d$ may be obtained. The result is $d=32.2ifmmodepmelsetextpmfi{}5.1$ MHz. With this it is possible to predict the ${mathrm{H}}_{2}^{+}$ hfs spectrum in the 20-cm region with an error estimate of a few MHz. $(1 frac{3}{2} frac{3}{2})ensuremath{-}(1 frac{1}{2} frac{3}{2})=1415.3$ MHz; $(1 frac{3}{2} frac{3}{2})ensuremath{-}(1 frac{1}{2} frac{1}{2})=1400.9$ MHz; $(1 frac{3}{2} frac{5}{2})ensuremath{-}(1 frac{1}{2} frac{3}{2})=1398.1$ MHz; $(1 frac{3}{2} frac{1}{2})ensuremath{-}(1 frac{1}{2} frac{3}{2})=1322.4$ MHz; $(1 frac{3}{2} frac{1}{2})ensuremath{-}(1 frac{1}{2} frac{1}{2})=1308.2$ MHz. The ion sample is contained electrically in an rf quadrupole trap where production and analysis of alignment is by selective optical excitation by linearly polarized light of the transition $1sensuremath{sigma}ensuremath{-}2pensuremath{sigma}$ leading to dissociation. The mechanism is briefly reviewed. A description is given of the trap and apparatus for the detection of the trapped ions and magnetic resonance." @default.
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- W1994573146 title "Alignment of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=normal>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>Molecular Ion by Selective Photodissociation. II. Experiments on the Radio-Frequency Spectrum" @default.
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- W1994573146 doi "https://doi.org/10.1103/physrev.165.80" @default.
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