Acta Physica Polonica A

Hyperfine Interaction Constants in the 92D3/2State of85Rb Measured by the Quantum. Best Method

M Krainska-Miszczak

Published Sep 1, 1994• 3 citations

Abstract

Tle magnetic-dipole interaction constant A and the electric-quadrupole interaction constant B in the 9 2D3 /2 state of 85 ßb were measured using the quantum beat method.The results are | A | = 0 .5 6 1 ( 1 1 ) M H z , | B | = 0.20(3) MHz and B/A > 0.

DOI: 10.12693/aphyspola.86.343

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Hyperfine interaction constants A and B in the 10 2 D 5/2 state of 87 Rb were obtained by the analysis of quantum beats in the fluorescence 10 2 D 5/2 -5 2 P 3/2 following two-quantum excitation. The resulting values are mod A mod =0.510 (10) MHz, mod B mod =0.098 (11) MHz and A/B<0.

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Acta Physica Polonica A

Hyperfine Interaction Constants in the 92D3/2State of85Rb Measured by the Quantum. Best Method

M Krainska-Miszczak

Published Sep 1, 1994• 3 citations

Publisher

Abstract

DOI: 10.12693/aphyspola.86.343

Related papers

Magnetic-dipole and electric-quadrupole interaction constants in the 102D5/2state of87Rb

M Godz, M Krainska-Miszczak

Journal of Physics B Atomic and Molecular PhysicsAug 28, 19873 citations

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

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.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.

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Quantum beats due to the hyperfine interaction were observed in the radiative decay of the 8 ${\mathit{D}}_{3/2}$ state in $^{85}\mathrm{Rb}$ . The data agree well with theory allowing determination of the magnetic-dipole (\ensuremath{\Vert}a\ensuremath{\Vert}=0.879\ifmmode\pm\else\textpm\fi{}0.008 MHz) and electric-quadrupole (\ensuremath{\Vert}b\ensuremath{\Vert}=0.15\ifmmode\pm\else\textpm\fi{}0.02 MHz) (a/b>0) hyperfine constants. The results are consistent with those obtained for other ${\mathit{D}}_{3/2}$ states in $^{85}\mathrm{Rb}$ and $^{87}\mathrm{Rb}$ . The observed magnetic-dipole constants for the ${\mathit{nD}}_{3/2}$ n>7 states of $^{85}\mathrm{Rb}$ are given to within 2% by the relation a(MHz)=252/ ${\mathit{n}}^{\mathrm{*}3}$ where ${\mathit{n}}^{\mathrm{*}}$ is the effective principal quantum number.Quantum beats due to the hyperfine interaction were observed in the radiative decay of the 8${\mathit{D}}_{3/2}$ state in $^{85}\mathrm{Rb}$. The data agree well with theory allowing determination of the magnetic-dipole (\ensuremath{\Vert}a\ensuremath{\Vert}=0.879\ifmmode\pm\else\textpm\fi{}0.008 MHz) and electric-quadrupole (\ensuremath{\Vert}b\ensuremath{\Vert}=0.15\ifmmode\pm\else\textpm\fi{}0.02 MHz) (a/b>0) hyperfine constants. The results are consistent with those obtained for other ${\mathit{D}}_{3/2}$ states in $^{85}\mathrm{Rb}$ and $^{87}\mathrm{Rb}$. The observed magnetic-dipole constants for the ${\mathit{nD}}_{3/2}$ n>7 states of $^{85}\mathrm{Rb}$ are given to within 2% by the relation a(MHz)=252/${\mathit{n}}^{\mathrm{*}3}$ where ${\mathit{n}}^{\mathrm{*}}$ is the effective principal quantum number.

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Hyperfine Interaction, Zeeman and Stark Effects for Excited States in Rubidium

G Belin, Lennarth Holmgren, Sune R. Svanberg

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.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.

Physica ScriptaJun 1, 197635 citations

Hyperfine structure of excited alkali states using quantum beat spectroscopy

William Arie van Wijngaarden, J. Sagle

Journal of Physics B Atomic Molecular and Optical PhysicsMar 14, 199111 citations

Quantum beats due to the hyperfine interaction were observed in the radiative decay of the 8

{\mathit{D}}_{3/2}

state in

^{85}\mathrm{Rb}

. The data agree well with theory allowing determination of the magnetic-dipole (\ensuremath{\Vert}a\ensuremath{\Vert}=0.879\ifmmode\pm\else\textpm\fi{}0.008 MHz) and electric-quadrupole (\ensuremath{\Vert}b\ensuremath{\Vert}=0.15\ifmmode\pm\else\textpm\fi{}0.02 MHz) (a/b>0) hyperfine constants. The results are consistent with those obtained for other

{\mathit{D}}_{3/2}

states in

^{85}\mathrm{Rb}

and

^{87}\mathrm{Rb}

. The observed magnetic-dipole constants for the

{\mathit{nD}}_{3/2}

n>7 states of

^{85}\mathrm{Rb}

are given to within 2% by the relation a(MHz)=252/

{\mathit{n}}^{\mathrm{*}3}

where

{\mathit{n}}^{\mathrm{*}}

is the effective principal quantum number.

Quantum beats due to the hyperfine interaction were observed in the 6

{D}_{3/2}

\ensuremath{\rightarrow}5

{P}_{1/2}

transition in

^{85}\mathrm{Rb}

. Good agreement with theory was obtained, allowing determination of the values for the magnetic dipole (a=2.32\ifmmode\pm\else\textpm\fi{}0.06 MHz) and electric quadrupole (b=1.62\ifmmode\pm\else\textpm\fi{}0.06 MHz) hyperfine constants for the upper state.