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Journal of Physics B Atomic Molecular and Optical Physics

Measurements of magnetic-dipole and electric-quadrupole interaction constants of the 11, 12 and 132D5/2states in87Rb by the quantum-beat method

Małgorzata Głódź, M Krainska-Miszczak

Published Oct 14, 1989• 3 citations
Publisher

Abstract

Hyperfine structure in three n 2 D 5/2 states (n=11, 12 and 13) of 87 Rb was investigated by the quantum-beat method in zero magnetic field. The states of interest were excited by two-photon absorption from a single hyperfine substate (with F=1) of the ground state. The magnetic-dipole interaction constant A and the electric-quadrupole interaction constant B were obtained by analysis of the modulation frequencies of the fluorescence signals (transition n 2 D 5/2 -5 2 P 3/2 ). The results (MHz) are as follows: mod A(11 2 D 5/2 ) mod =0.361(7), mod B(11 2 D 5/2 ) mod =0.071(11), mod A(12 2 D 5/2 ) mod =0.266(9), mod B(12 2 D 5/2 ) mod =0.063(14), mod A(13 2 D 5/2 ) mod =0.20(1), mod B(13 2 D 5/2 ) mod =0.05(2). For all the states, A and B differ in sign. The effective lifetimes obtained as a by-product of the experiment are also presented.

DOI
10.1088/0953-4075/22/19/024

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Journal of Physics B Atomic Molecular and Optical Physics•Mar 14, 1991•11 citations
Hyperfine structure in three n 2 D 5/2 states (n=11, 12 and 13) of 87 Rb was investigated by the quantum-beat method in zero magnetic field. The states of interest were excited by two-photon absorption from a single hyperfine substate (with F=1) of the ground state. The magnetic-dipole interaction constant A and the electric-quadrupole interaction constant B were obtained by analysis of the modulation frequencies of the fluorescence signals (transition n 2 D 5/2 -5 2 P 3/2 ). The results (MHz) are as follows: mod A(11 2 D 5/2 ) mod =0.361(7), mod B(11 2 D 5/2 ) mod =0.071(11), mod A(12 2 D 5/2 ) mod =0.266(9), mod B(12 2 D 5/2 ) mod =0.063(14), mod A(13 2 D 5/2 ) mod =0.20(1), mod B(13 2 D 5/2 ) mod =0.05(2). For all the states, A and B differ in sign. The effective lifetimes obtained as a by-product of the experiment are also presented.
The hyperfine structure and lifetime of the 6 2 D 3/2 and 6 2 D 5/2 states in 39 K are studied experimentally. The states were excited from the ground state by two-photon absorption of the laser light pulses. The hyperfine-structure intervals, and hence the hyperfine-structure interaction constants, were obtained from the numerical analysis of the zero-field quantum beat signals. The unmodulated component of the fluorescence decay curve served to determine the lifetime. In a separate experiment a magnetic field was applied to induce partial decoupling of the electronic and nuclear angular momenta in the 6 2 D states. The sign of the magnetic dipole interaction constants was deduced from the resulting difference between the intensities of sigma + and sigma - polarised fluorescence.
Highly excitedPandDstates in87Rb were examined using a two-step excitation procedure. A conventional rf lamp and a CW dye laser were used for the first and second step, respectively. The following results for the magnetic dipole interaction constanta, the electric quadrupole interaction constantb, the LandégJfactor, and the tensor polarizability α2were obtained in level-crossing and optical-double-resonance experiments: 92P3/2:a= 4.05(3) MHz,b=0.55(3) MHz,gJ= 1.3335(15) 102P3/2:a= 2.60(8) MHz,gJ= 1.3332(20) 82D3/2:a= 2.840(15) MHz,b= 0.17(2) MHz 82D5/2:a= -1.20(15) MHz,gJ= 1.1998(15) 92D3/2:a= 1.900(10) MHz,b= 0.11(3) MHz 92D5/2:a= (-)0.80(15) MHz,gJ= 1.1995(15), α2= 180.3(9.0) MHz/(kV/cm)2 Many-body calculations of the hyperfine structure of Rb have been performed. The polarization effect is included to all orders, whereas the correlation effect is omitted. The negativeafactors for the2D5/2states, indicating large perturbations, are explained by the polarization contribution. A review of experimental hyperfine interaction constants, LandégJfactors and tensor polarizabilities for rubidium is given together with theoretical values of theafactors. The quadrupole moment for87Rb is obtained from thebfactors for the2P3/2and2D3/2states, using quadrupole parameters from the many-body calculations. The correlation effect is included in a semi-empirical way.
In investigations of hyperfine structure (hfs) by the quantum beat method, the two-photon excitation scheme was introduc to4tta a numb of highly excited D states of some alkali metal isotopes ( K, K, Rb and Rb). In the present paper some details of the experimental technique are presented. The values of the magnetic-dipole interaction constant A and the electric-quadrupole interacion constant B, obtained in a series of experiments for the states of interest (6 D312 5/2 of 39K, 62D312 of 41K, l1,122D312 of °5Rb, lO-132D312 and 9-132D512 of 87Rb) are summarized and compared with other results concerning hfs of the D states of the same isotopes. The relatively simple method proved to be quite effective .n extending the measurements of hyperfine interaction constants to highly excited D states of alkali metal atoms.