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Proceedings of the Physical Society

A `Level Crossing' Experiment in Mercury

John N. Dodd

Published Mar 1, 1961• 11 citations
Publisher

Abstract

A change of the intensity of resonance fluorescence may take place when Zeeman states of the excited level have the same energy. The fields at which these `level crossings' occur in 199 Hg and 201 Hg have been measured. Combined with recent determinations of the hyperfine coupling constants, the results yield values for g J of the 3 P 1 states: g J (199)=1.48634±0.00005, g J (201)=1.48606±0.00015.

DOI
10.1088/0370-1328/77/3/313

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A change of the intensity of resonance fluorescence may take place when Zeeman states of the excited level have the same energy. The fields at which these `level crossings' occur in 199 Hg and 201 Hg have been measured. Combined with recent determinations of the hyperfine coupling constants, the results yield values for g J of the 3 P 1 states: g J (199)=1.48634±0.00005, g J (201)=1.48606±0.00015.
The first part of this work is a study of the changes of intensity of the resonance fluorescence from mercury vapour as a small magnetic field H is applied either parallel or anti-parallel to the direction of the incident light. The changes follow either a Lorentzian or a dispersion-type function of the Zeeman splitting of the excited state, according to the orientations of polarizer and analyser in the beams of light. In an experiment with an additional oscillatory field at a frequency ω 0 , similar curves are observed in the region H = H 0 /2. ( H 0 is the field for which ω 0 is the Larmor frequency.) The observations are relevant to a recently developed technique in which intensity changes of this sort are used to make precision measurements in spectroscopy. The Lorentzian line shape is usually observed. The possibility of obtaining line profiles of other shapes was pointed out by Franken.
We have used the theory presented by us in a recent paper to analyze a 1967 level-crossing experiment on the 2 3P^{3}P3P state of 3He^{3}\mathrm{He}3He performed at the University of Michigan. Until now a consistent analysis of the experiment had not been possible because of inadequate development of the theory. The present analysis gives excellent agreement with the results of an atomic beam magnetic resonance experiment performed recently by us at Yale University. In fact we have used the combined data to give slightly improved results for four of the 11 relevant parameters. These four are the spin-antisymmetric contact hyperfine interaction constant [C'=-4327(69) MHz)], the 2 3P^{3}P3P dipole hyperfine interaction constant [D=-28.145(21) MHz], the 2 3P^{3}P3P tensor hyperfine interaction constant [E=-7.1353(38) MHz], and the orbital g factor [gL{g}_{L}gL​=0.999 828 6(20)]. .AE
Excitation of atoms in a vapor by polarized light produces unequal population of the magnetic sublevels of the excited state. The emitted optical resonance radiation is therefore partly polarized. The application of radiofrequency or microwave fields at a magnetic resonance frequency will induce transitions between sublevels of the excited state. The degree of polarization of the emitted optical resonance radiation is altered when the magnetic resonance condition is fulfilled. As suggested by Brossel and Kastler, this effect may be used to reveal the structure of the energy level. A detailed theory applicable to, and experiments on the 3P1^{3}P_{1}3P1​ state of all the isotopes of mercury are reported. The results obtained indicate that double resonance phenomena constitute a valuable new tool for investigating the structure of atomic energy levels. The mean life of the 3P1^{3}P_{1}3P1​ state is shown by observations on the resonance line widths to be 1.55\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}7}$ sec for all the isotopes. The ggg-factor of the 3P1^{3}P_{1}3P1​ state for isotopes with zero spin, measured in terms of the proton ggg-factor, is 1.4838\ifmmode\pm\else\textpm\fi{}0.0004.
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.
Sensitized fluorescence in crossed atomic beams: Hg(6 sup3sup 3sup3Psub0sub 0sub0,sub2sub 2sub2)+Tl(6 sup2sup 2sup2Psub1sub 1sub1/sub2sub 2sub2)
A velocity selected Tl beam has been crossed by an electron-bombarded Hg beam which contains a small percentage of the Hg(6 sup3sup 3sup3P) metastable levels (an approximate 5:1 ratio of sup3sup 3sup3Psub2sub 2sub2:sup3sup 3sup3Psub0sub 0sub0). By means of an interference filter--photomultiplier combination beneath the collision zone, the cross section for excitation of the 5350 A (7 sup2sup 2sup2Ssub1sub 1sub1/sub2sub 2sub2 YieldsYieldsYields 6 sup2sup 2sup2Psub3sub 3sub3/sub2sub 2sub2)Tl fluorescence has been determined to increase monotonically with decreasing relative collision speed, g, approximately as gsup−sup -sup−/subs/ for s=2.0plus-or-minus0.5. Implications of these results for the sensitized fluorescence phenomenon in vapor mixtures of metallic elements are briefly discussed.