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Physical Review A

Hyperfine-structure investigation of highly excited D2 levels in Rb87 and Cs133 using a cw tunable dye laser in a two-step excitation scheme

Sune R. Svanberg, Pericles G. Tsekeris

Published Apr 1, 1975• 46 citations
Publisher

Abstract

The hyperfine structure of several highly excited $^{2}D$ states in $^{87}\mathrm{Rb}$ and $^{133}\mathrm{Cs}$ has been measured. The $D$-state atoms were produced in a two-step-excitation process. In the first step, multiple scattering of the strong alkali-metal ${D}_{1}$ and ${D}_{2}$ lines from an rf lamp was used to excite atoms into the first excited $^{2}P$ levels. The intense tunable radiation from a cw dye laser was used in the second step to transfer $P$-state atoms into highly excited $D$ states. Level-crossing and optical-double-resonance techniques were used for the determination of the absolute values of the hyperfine-interaction constants. The following results (in MHz) were obtained for the magnetic dipole and the electric quadrupole interaction constants $a$ and $b$: For $^{87}\mathrm{Rb}$, $|a(6^{2}D_{\frac{3}{2}})|=7.84(5)$, $|b(6^{2}D_{\frac{3}{2}})|=0.53(6)$ ($\frac{b}{a}>0$), $|a(^{2}D_{\frac{5}{2}})|=3.6(7)$, $|a(7^{2}D_{\frac{3}{2}})|=4.53(3)$, $|b(7^{2}D_{\frac{3}{2}})|=0.26(4)$ ($\frac{b}{a}>0$), $|a(7^{2}D_{\frac{5}{2}})|=2.2(5)$. For $^{133}\mathrm{Cs}$, $|a(8^{2}D_{\frac{3}{2}})|=3.98(8)$, $|a(8^{2}D_{\frac{5}{2}})|=0.9(4)$, $|a(9^{2}D_{\frac{3}{2}})|=2.37(3)$, $|a(9^{2}D_{\frac{5}{2}})|=0.5(2)$, $|a(10^{2}D_{\frac{3}{2}})|=1.52(3)$, $|a(10^{2}D_{\frac{5}{2}})|=0.4(2)$. The $a$ factors generally deviate strongly from the values expected in a one-electron picture of the alkali-metal atom indicating the importance of polarization and correlation effects for these states. For $^{87}\mathrm{Rb}$ a comparison with a recent calculation including polarization effects is made. The $b$ factors for $^{87}\mathrm{Rb}$ are the first significant values allowing a calculation of an alkali-metal-atom nuclear quadrupole moment from non-$P$-state data.

DOI
10.1103/physreva.11.1125

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Physical Review A•Feb 1, 1975•20 citations
The hyperfine structure of several highly excited 2D^{2}D2D states in 87Rb^{87}\mathrm{Rb}87Rb and 133Cs^{133}\mathrm{Cs}133Cs has been measured. The DDD-state atoms were produced in a two-step-excitation process. In the first step, multiple scattering of the strong alkali-metal D1{D}_{1}D1​ and D2{D}_{2}D2​ lines from an rf lamp was used to excite atoms into the first excited 2P^{2}P2P levels. The intense tunable radiation from a cw dye laser was used in the second step to transfer PPP-state atoms into highly excited DDD states. Level-crossing and optical-double-resonance techniques were used for the determination of the absolute values of the hyperfine-interaction constants. The following results (in MHz) were obtained for the magnetic dipole and the electric quadrupole interaction constants aaa and bbb: For 87Rb^{87}\mathrm{Rb}87Rb, ∣a(62D32)∣=7.84(5)|a(6^{2}D_{\frac{3}{2}})|=7.84(5)∣a(62D23​​)∣=7.84(5), ∣b(62D32)∣=0.53(6)|b(6^{2}D_{\frac{3}{2}})|=0.53(6)∣b(62D23​​)∣=0.53(6) (ba>0\frac{b}{a}>0ab​>0), ∣a(2D52)∣=3.6(7)|a(^{2}D_{\frac{5}{2}})|=3.6(7)∣a(2D25​​)∣=3.6(7), ∣a(72D32)∣=4.53(3)|a(7^{2}D_{\frac{3}{2}})|=4.53(3)∣a(72D23​​)∣=4.53(3), ∣b(72D32)∣=0.26(4)|b(7^{2}D_{\frac{3}{2}})|=0.26(4)∣b(72D23​​)∣=0.26(4) (ba>0\frac{b}{a}>0ab​>0), ∣a(72D52)∣=2.2(5)|a(7^{2}D_{\frac{5}{2}})|=2.2(5)∣a(72D25​​)∣=2.2(5). For 133Cs^{133}\mathrm{Cs}133Cs, ∣a(82D32)∣=3.98(8)|a(8^{2}D_{\frac{3}{2}})|=3.98(8)∣a(82D23​​)∣=3.98(8), ∣a(82D52)∣=0.9(4)|a(8^{2}D_{\frac{5}{2}})|=0.9(4)∣a(82D25​​)∣=0.9(4), ∣a(92D32)∣=2.37(3)|a(9^{2}D_{\frac{3}{2}})|=2.37(3)∣a(92D23​​)∣=2.37(3), ∣a(92D52)∣=0.5(2)|a(9^{2}D_{\frac{5}{2}})|=0.5(2)∣a(92D25​​)∣=0.5(2), ∣a(102D32)∣=1.52(3)|a(10^{2}D_{\frac{3}{2}})|=1.52(3)∣a(102D23​​)∣=1.52(3), ∣a(102D52)∣=0.4(2)|a(10^{2}D_{\frac{5}{2}})|=0.4(2)∣a(102D25​​)∣=0.4(2). The aaa factors generally deviate strongly from the values expected in a one-electron picture of the alkali-metal atom indicating the importance of polarization and correlation effects for these states. For 87Rb^{87}\mathrm{Rb}87Rb a comparison with a recent calculation including polarization effects is made. The bbb factors for 87Rb^{87}\mathrm{Rb}87Rb are the first significant values allowing a calculation of an alkali-metal-atom nuclear quadrupole moment from non-PPP-state data.
Highly excited SSS, DDD, and FFF levels in cesium and rubidium have been populated utilizing a two-step optical excitation method. In the first step an rf lamp is used to transfer atoms into the first PPP states, and the subsequent excitation is performed with the tunable radiation of a cw dye laser. We give results for the hyperfine structure of several DDD and FFF states in Cs133{\mathrm{Cs}}^{133}Cs133 and Rb87{\mathrm{Rb}}^{87}Rb87, obtained in level-crossing and optical double resonance experiments.
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.
Stark effect investigations in the 6, 7 and 82D3/2,5/2levels of85Rb and the 8, 9 and 102D3/2,5/2levels of133Cs were performed with the level crossing technique. The levels were populated in a two-step excitation process, involving a CW tunable dye laser. The tensor polarizability of all states was measured and a good agreement with theoretical values, obtained with the Coulomb approximation, is found. Furthermore, the signs of the dipole interaction constants, determined to absolute value in earlier experiments, could be inferred. The sign was found to be positive for the2D3/2states and negative for the2D5/2states, indicating strong polarization effects in the magnetic hyperfine interaction.
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.
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