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Journal of Physics B Atomic and Molecular Physics

Multiphoton transitions. III. Rates of multi-photodetachment of negative ions

Farhad H. M. Faisal

Published Dec 1, 1972• 7 citations
Publisher

Abstract

For pt. I see ibid., vol. 5, L196 (1972). An analytic formula for rapid calculation of rates of N-photon electron detachment of negative ions is obtained. Two-photon (ruby) detachment rates of I - , Br - and F - are estimated and compared with the corresponding perturbative estimates (and an experimental measurement). The conditions of validity and the usefulness of the formula is discussed. The estimated three-photon (ruby) rate in Cl - is also given.

DOI
10.1088/0022-3700/5/12/007

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For pt. I see ibid., vol. 5, L196 (1972). An analytic formula for rapid calculation of rates of N-photon electron detachment of negative ions is obtained. Two-photon (ruby) detachment rates of I - , Br - and F - are estimated and compared with the corresponding perturbative estimates (and an experimental measurement). The conditions of validity and the usefulness of the formula is discussed. The estimated three-photon (ruby) rate in Cl - is also given.
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The R-matrix Floquet approach is applied to study the negative and ions in a light field. Detachment rates are obtained for detachment processes involving up to three photons. The results obtained in the present approach are compared to other experimental and theoretical results. For two- and three-photon processes reasonable agreement with other calculations has been found, while for two-photon detachment the results agree with the experimental cross sections. The three-photon results are in less good agreement with experiment although the larger error bars make accurate comparisons more difficult. The changes in the detachment behaviour for these ions are compared to each other as well as to the detachment behaviour of .
We describe a method for calculating rates for multiphoton detachment or ionization of a two-electron system by a perturbative field. We have applied the method to ${\mathrm{H}}^{\mathrm{\ensuremath{-}}}$, and we present estimates of two- and three-photon detachment rates. In particular, we explore the 1^{1}1Se{\mathit{S}}^{\mathit{e}}Se and 1^{1}1De{\mathit{D}}^{\mathit{e}}De Feshbach resonances below the n=2 and n=3 excitation thresholds of H; these resonances lie in the ``excess-photon detachment'' regime, where one photon is already sufficient to detach the electron.
The aim of this thesis is to extend the study of multiphoton processes to the heavier negative ions of the alkali-metal atoms and thus, Na"- and K"- were natural candidates for this investigation. The main idea is to achieve an homogeneous description of negative alkaline ions and their response to an intense laser field. This idea has been suggested by recent experimental findings for negative alkaline ions which have revealed a rich structure of their scattering and photodetachment spectra, showing the existence of high-lying temporary negative ion states. Moreover, dramatic effects due to excess photon detachment have been observed yielding additional information on the dynamics of these highly correlated systems
The cross sections for one-, two-, and three-photon detachment from fluorine negative ions have been measured using light at the fundamental and harmonic frequencies of a 1064-nm pulsed neodymium-doped yttrium aluminum garnet laser. The ions were stored in a Penning ion trap, the depletion due to illumination was measured, and the data were fitted to a model for stored ions illuminated by pulsed light. The values obtained for the detachment cross sections are ${\ensuremath{\sigma}}^{(1)}$=2.8(5)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}18}$ cm2{\mathrm{cm}}^{2}cm2, ${\ensuremath{\sigma}}^{(2)}$=2.0(7)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}50}$ cm4{\mathrm{cm}}^{4}cm4 sec, and ${\ensuremath{\sigma}}^{(3)}$ ${=7.9}_{\mathrm{\ensuremath{-}}3.6}^{+6.6}$\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}83}$ cm6{\mathrm{cm}}^{6}cm6 sec2{\mathrm{sec}}^{2}sec2. These values are compared with theoretical calculations and other experimental results.