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Journal of Physics B Atomic and Molecular Physics

The impact broadening of the first potassium resonance lines by rubidium atoms

Robert Beuc, Mladen Movre, Cedomil Vadla

Published May 14, 1984• 3 citations
Publisher

Abstract

The authors have measured the absorption coefficient in the impact region of the first potassium resonance lines broadened by rubidium atoms. For the broadening constants gamma K*-Rb they have obtained the values (6.2+or-0.5)*10 -9 s -1 cm 3 /atom and (7.8+or-0.5)*10 -9 s -1 cm 3 /atom for the stronger and weaker components, respectively. The theoretical values calculated from the Lindholm formula are 6.0*10 -9 s -1 cm 3 /atom for the stronger and 7.0*10 -9 s -1 cm 3 /atom for the weaker component. The corresponding theoretical effective C 6 constants are 21.6*10 -30 s -1 cm 6 and 15.3*10 -30 s -1 cm 6 , respectively.

DOI
10.1088/0022-3700/17/9/022

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Zeitschrift für Naturforschung A•Apr 1, 1974•0 citations
The authors have measured the absorption coefficient in the impact region of the first potassium resonance lines broadened by rubidium atoms. For the broadening constants gamma K*-Rb they have obtained the values (6.2+or-0.5)10 -9 s -1 cm 3 /atom and (7.8+or-0.5)10 -9 s -1 cm 3 /atom for the stronger and weaker components, respectively. The theoretical values calculated from the Lindholm formula are 6.010 -9 s -1 cm 3 /atom for the stronger and 7.010 -9 s -1 cm 3 /atom for the weaker component. The corresponding theoretical effective C 6 constants are 21.610 -30 s -1 cm 6 and 15.310 -30 s -1 cm 6 , respectively.
The authors have measured the absorption efficient in the quasi-static wings of the first potassium resonance lines in various K-Cs mixtures. At sufficiently high concentrations of caesium atoms both components of the potassium first resonance doublet have extended blue wings of the van der Waals type. The corresponding effective C 6 constants determined from the experimental data are (1.5+or-0.3)*10 -29 s -1 cm 6 and (2.4+or-0.5)*10 -29 s -1 cm 6 for the stronger and weaker components, respectively. The calculated values of the effective C 6 constants are 1.78*10 -29 s -1 cm 6 for the stronger component and 2.35*10 -29 s -1 cm 6 for the weaker component.
The broadening of the Na resonance lines, due to collisions with Rb and with Cs, has been measured with the use of the normalized fluorescence-intensity method of Chatham, Lewis, and Gallagher. Several Na resonance-radiation diffusion and absorption corrections were necessary in the Rb case, due to an unavoidable excess of Na density in the Rb vapor. The line-broadening rate coefficients k1{k}_{1}k1​ and k2{k}_{2}k2​ for the D1{D}_{1}D1​ and D2{D}_{2}D2​ resonance lines are ${k}_{1}(\mathrm{Rb})=(6.2\ifmmode\pm\else\textpm\fi{}0.4)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$ cm3{\mathrm{cm}}^{3}cm3 ${\mathrm{s}}^{\ensuremath{-}1}$, ${k}_{2}(\mathrm{Rb})=(5.5\ifmmode\pm\else\textpm\fi{}0.6)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$ cm3{\mathrm{cm}}^{3}cm3 ${\mathrm{s}}^{\ensuremath{-}1}$, ${k}_{1}(\mathrm{Cs})=(6.9\ifmmode\pm\else\textpm\fi{}1.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$ cm3{\mathrm{cm}}^{3}cm3 ${\mathrm{s}}^{\ensuremath{-}1}$, and ${k}_{2}(\mathrm{Cs})=(5.5\ifmmode\pm\else\textpm\fi{}0.9)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$ cm3{\mathrm{cm}}^{3}cm3 ${\mathrm{s}}^{\ensuremath{-}1}$ at $T\ensuremath{\simeq}300$\ifmmode^\circ\else\textdegree\fi{} C. The leading (${C}_{6}{R}^{\ensuremath{-}6}$) dipole-dipole long-range dispersion forces for the Na-Rb and Na-Cs interactions are calculated, and are used in the impact-theory formula to obtain theoretical line-broadening rate coefficients. These are in poor agreement with the measurements, indicating that as suggested by Vadla, the higher-order (${C}_{8}{R}^{\ensuremath{-}8}$) dispersion terms are also important at the very long range responsible for this line broadening.
The broadening of the resonance lines of rubidium in absorption under pressures up to 150 mm of its own homogeneous vapor was studied by means of a 21-foot grating. Under pressures below 1 mm the broadening of the lines was very symmetrical and the line contours could be described by the dispersion formula, but when the pressure was high the lines exhibited asymmetrical broadening of van der Waals type. The 2P12^{2}P_{\frac{1}{2}}2P21​​ component showed red, while the 2P32^{2}P_{\frac{3}{2}}2P23​​ component showed violet asymmetry. Both lines showed the proportionality of the width with NNN, the concentration of Rb atoms. The experimental width at half-maximum is greater than that predicted by Houston's theory by a factor of 1.5 and the width of the transition from 3P32^{3}P_{\frac{3}{2}}3P23​​ is greater than that from 3P12^{3}P_{\frac{1}{2}}3P21​​ by a factor of 1.6. A narrow diffuse band was observed near the shorter wave-length side of the 2P12^{2}P_{\frac{1}{2}}2P21​​ component and a similar one near the longer wave-length side of the 2P32^{2}P_{\frac{3}{2}}2P23​​ component.
In addition to previous absorption measurements of Cs resonance lines, new investigations on Na, K and Rb also showed definitely that beyond symmetrical Lorentzian central parts of the lines, the stronger components of the resonance lines have blue and the weaker components red asymmetry. This behaviour can be explained by a quasistatic treatment of the self-broadening mechanism taking interatomic interaction potentials into account. But with additional data it is now possible to give a different interpretation of the origin of observed asymmetries than suggested in the previous paper on Cs resonance lines (see abstr. A5740 of 1975). The asymmetries are shown to arise from the mutual repulsion of two potential curves of the same species.