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A Measurement Of The Spin-exchange Cross-section Of Cesium-133, Rubidium-87,85, Potassium-39 And Sodium-23.

N Ressler

Published Jan 1, 1967• 0 citations
Publisher

Abstract

This thesis reports measurements to determine the spin exchange cross section for collisions between like alkali n ???' sPift-exchange cross section was determined for Cs-LJJ, Rbo/, Rb°5, k39, and Na23.Table of Contents Page List of Tables v List of Figures vi Chapter 1. 5 A. Hyperfine Structure and Zeeman Sub-Levels 5 B. Spin Exchange 9 C. Density Matrix Description of Spin-Exchange 16 D. Application to Hydrogen 20 E. Intermediate Field 24 F.

DOI
10.7302/15526

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This thesis reports measurements to determine the spin exchange cross section for collisions between like alkali n ???' sPift-exchange cross section was determined for Cs-LJJ, Rbo/, Rb°5, k39, and Na23.Table of Contents Page List of Tables v List of Figures vi Chapter 1. 5 A. Hyperfine Structure and Zeeman Sub-Levels 5 B. Spin Exchange 9 C. Density Matrix Description of Spin-Exchange 16 D. Application to Hydrogen 20 E. Intermediate Field 24 F.
This paper reports measurements to determine the spin-exchange cross section for collisions between like alkali atoms. The spin-exchange cross section is determined for Cs133{\mathrm{Cs}}^{133}Cs133, Rb87{\mathrm{Rb}}^{87}Rb87, Rb85{\mathrm{Rb}}^{85}Rb85, K39{\mathrm{K}}^{39}K39, and Na23{\mathrm{Na}}^{23}Na23. The lifetime of the alkali atoms in the Zeeman sublevels of the ground-state hyperfine levels is dominated by spin-exchange collisions. The spin-exchange collision rate is therefore reflected by the linewidth of the microwave absorption spectrum observed in the magnetic dipole transitions between various of the Zeeman sublevels. The measurements employed an XXX-band electron paramagnetic resonance spectrometer. The alkali metal was distilled into a sample bulb which was placed inside a Dewar in a resonant cavity. The bulb was then heated to a temperature corresponding to an equilibrium vapor density of approximately 1015{10}^{15}1015 alkali atoms/c.c. and the microwave absorption spectrum was recorded. In order to relate the spin-exchange rate to a cross section, it is necessary to determine the alkali density. This was done by comparing the intensity of the alkali EPR absorption to that of a weighed and oriented copper sulfate crystal. For Cs133{\mathrm{Cs}}^{133}Cs133 and Rb87{\mathrm{Rb}}^{87}Rb87, interpretation of the linewidth data is complicated by the fact that the transitions occur in a region where there is appreciable mixing of the high-field spin states by the hyperfine interaction. A density-matrix description of spin exchange which corrects for this intermediate field mixing is discussed, and the corrections are applied to the measured cross sections for two transitions in Cs133{\mathrm{Cs}}^{133}Cs133 and Rb87{\mathrm{Rb}}^{87}Rb87. Relative cross sections, referred to that of Na23{\mathrm{Na}}^{23}Na23, are also given.
We present measurements of differential elastic cross sections for various alkali-alkali pairs, as well as the angular dependence of the probability of electron spin exchange in these collisions. The resolution is sufficient to reveal interference structure in the angular dependence of both quantities. We describe our apparatus, which polarizes one incident beam and analyzes the polarization of the scattered atoms, and discuss the measurement and data-reduction procedures. Results are presented in the range 0.1-0.2 eV for the systems Na-Cs, Na-Rb, Na-K, K-Cs, and K-Rb.
The spin-destruction rates due to rubidium-rubidium and potassium-potassium collisions involving the S1/2{S}_{1/2}S1/2​ ground states were measured. These spin-destruction cross sections decrease about an order of magnitude for the next lighter alkali-metal atom when comparing cesium, rubidium, and potassium.