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Journal of Physics B Atomic and Molecular Physics

Investigation of excitation transfer processes between hydrogen isotopes by means of laser fluorescence

K. Follmer, K. Bergstedt

Published Mar 14, 1983• 0 citations
Publisher

Abstract

The hydrogen-deuterium excitation transfer process is investigated experimentally for the case of the n=3 levels. Furthermore, a numerical simulation is provided for testing the method of analysis. The corresponding cross section is evaluated and compared with theoretically calculated values. Results of the numerical simulation are discussed.

DOI
10.1088/0022-3700/16/5/021

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Physical Review A•Feb 1, 1983•74 citations
The hydrogen-deuterium excitation transfer process is investigated experimentally for the case of the n=3 levels. Furthermore, a numerical simulation is provided for testing the method of analysis. The corresponding cross section is evaluated and compared with theoretically calculated values. Results of the numerical simulation are discussed.
The cross sections for the excitation transfer between unlike atoms are calculated by the impact parameter method. Approximate formulas for discrete-continuum and discrete-discrete transition probabilities are obtained. The cross section can be obtained by integrating this probability over the impact parameter. The approximate formula is applied to the case of Deuterium-Hydrogen excitation transfer as one of practical examples. Comparisons are made with two other formulas, i. e. Rosen-Zener (R-Z) and Vanishtein-Presnyakov-Sobelman (V-P-S) formulas. The dependence of the cross section on the resonance defect in the discrete-discrete case is also investigated. The agreements among these three formulas are found not very good.
The excitation transfers through collision between hydrogen atoms and between other simple identical atoms are considered theoretically by an impact parameter method. A rotating atom approximation and a fixed atom approximation (concerned with the direction of electronic polarization) are applied to the problem. The cross-section for the transfer of the excitation (2 p 2 P ) of a hydrogen atom with thermal velocity (kinetic energy of 0.025 ev) to the other hydrogen atom in the ground state is estimated to be 3065 Å 2 with the rotating atom approximation and 680 Å 2 with the fixed atom approximation. In the case of helium atoms, the cross-section for the transfer of the excitation (2 p 1 P ) is also estimated to be 606.7 Å 2 with thermal velocity.
The collision of a proton with a hydrogen atom in the presence of electromagnetic radiation which is nearly resonant with the atomic levels is investigated theoretically. The non-perturbative quasi energy method is used to describe the laser-atom interaction and the proton-dressed atom collision is solved using a diagonalization technique. We have calculated the transition probabilities and the total cross-section for various transitions. We discuss the influence of various laser and collision parameters on the excitation process.
The excitation transfer cross sections to several of the excited states of thallium from the 63P16^{3}P_{1}63P1​ and 63P06^{3}P_{0}63P0​ states of mercury have been obtained at various temperatures in the range 800\ifmmode^\circ\else\textdegree\fi{}C to 900\ifmmode^\circ\else\textdegree\fi{}C. Analysis of the equilibrium rates of absorption, emission, and collision processes allows the calculation of excitation transfer cross sections from experimentally determined ratios of intensities of thallium-sensitized fluorescence lines to the intensity of mercury resonance fluorescence, using calculated values of the thallium transition probabilities. The values obtained for the excitation transfer cross sections are comparable in magnitude with collision cross sections based on considerations of gas kinetics.
Excitation transfer is studied theoretically as an integral part of sensitized fluorescence, which is a third order time-dependent process, namely the excitation of the absorber atom, followed by the transfer of excitation from this atom to the receiver atom and finally the emission of sensitized fluorescence from the receiver atom. The phase correlation transmitted through such a third order process gives rise to the angular distribution of sensitized fluorescence which is shown to depend on the fine structure levels of both atoms. Long range electric dipole-dipole interaction is used as the mechanism for excitation transfer. Plane wave motion is assumed for the relative motion between two interacting atoms. A general formula is derived for the relative intensities (hence relative cross sections) of the sensitized fluorescence, involving different sets of fine structure levels. This cross-section ratio turns out to be angular dependent but nevertheless is shown to be expressible in a very simple form which can be readily calculated. The ratio calculation is illustrated for the case of K*(42P1/2,3/2) +Rb(52P1/2,3/2). Nuclear spin effect is also considered. For the weak coupling case, the nuclear spin is found to have no effect on the sensitized fluorescence.
We have measured cross sections, ${\ensuremath{\sigma}}_{\mathrm{nL}}$, for the excitation transfer process $\mathrm{Na}(3P)+\mathrm{Na}(3P)\ensuremath{\rightarrow}\mathrm{Na}(3S)+\mathrm{Na}(\mathrm{nL})$, where nL\mathrm{nL}nL is the 4D4D4D or 5S5S5S level. Our results are ${\ensuremath{\sigma}}_{4D}=23 {\AA{}}^{2}\ifmmode\pm\else\textpm\fi{}35%$ and ${\ensuremath{\sigma}}_{5S}=16 {\AA{}}^{2}\ifmmode\pm\else\textpm\fi{}35%$ at $T\ensuremath{\sim}600$ K. To obtain these cross sections we have used pulsed excitation and measured the intensities of 4D4D4D, 5S5S5S, and 3P3P3P fluorescence emissions, and the spatial distribution of excited atoms resulting from radiation diffusion, as well as the excited atom density as a function of time. Additionally, we have accounted for (time-dependent) radiation trapping of 3P3P3P and nL\mathrm{nL}nL level radiation and for the resulting anisotropies of these fluorescence emissions. Comparisons of our results with theory have been made, and their relevance to other experiments is discussed.