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Physical Review A

Measurement of hyperfine structure of the 8S122 and 9S122 states of rubidium, and 12S122 state of cesium by stepwise dye-laser spectroscopy

Pericles G. Tsekeris, R. Gupta

Published Feb 1, 1975• 20 citations
Publisher

Abstract

The hyperfine structures of the $8^{2}S_{\frac{1}{2}}$ and $9^{2}S_{\frac{1}{2}}$ states of $^{87}\mathrm{Rb}$ and of the $12^{2}S_{\frac{1}{2}}$ state of $^{133}\mathrm{Cs}$ have been measured by the method of stepwise excitation spectroscopy using a cw dye laser. We measure the magnetic dipole coupling constants to be $A(8^{2}S_{\frac{1}{2}}, ^{87}\mathrm{Rb})=159.2\ifmmode\pm\else\textpm\fi{}1.5$ MHz, $A(9^{2}S_{\frac{1}{2}}, ^{87}\mathrm{Rb})=90.9\ifmmode\pm\else\textpm\fi{}0.8$ MHz, and $A(12^{2}S_{\frac{1}{2}}, ^{133}\mathrm{Cs})=26.31\ifmmode\pm\else\textpm\fi{}0.10$ MHz.

DOI
10.1103/physreva.11.455

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Radiofrequency spectroscopy of the 5S122 state of Na23 : Hyperfine-structure measurement

Pericles G. Tsekeris, K. H. Liao, R. Gupta

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Physical Review A•Jun 1, 1976•15 citations
The hyperfine structures of the 82S128^{2}S_{\frac{1}{2}}82S21​​ and 92S129^{2}S_{\frac{1}{2}}92S21​​ states of 87Rb^{87}\mathrm{Rb}87Rb and of the 122S1212^{2}S_{\frac{1}{2}}122S21​​ state of 133Cs^{133}\mathrm{Cs}133Cs have been measured by the method of stepwise excitation spectroscopy using a cw dye laser. We measure the magnetic dipole coupling constants to be A(82S12,87Rb)=159.2\ifmmode±\else\textpm\fi1.5A(8^{2}S_{\frac{1}{2}}, ^{87}\mathrm{Rb})=159.2\ifmmode\pm\else\textpm\fi{}1.5A(82S21​​,87Rb)=159.2\ifmmode±\else\textpm\fi1.5 MHz, A(92S12,87Rb)=90.9\ifmmode±\else\textpm\fi0.8A(9^{2}S_{\frac{1}{2}}, ^{87}\mathrm{Rb})=90.9\ifmmode\pm\else\textpm\fi{}0.8A(92S21​​,87Rb)=90.9\ifmmode±\else\textpm\fi0.8 MHz, and A(122S12,133Cs)=26.31\ifmmode±\else\textpm\fi0.10A(12^{2}S_{\frac{1}{2}}, ^{133}\mathrm{Cs})=26.31\ifmmode\pm\else\textpm\fi{}0.10A(122S21​​,133Cs)=26.31\ifmmode±\else\textpm\fi0.10 MHz.
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The hyperfine structure of the second-excited DDD states of 85Rb^{85}\mathrm{Rb}85Rb, 85Rb^{85}\mathrm{Rb}85Rb, and 133Cs^{133}\mathrm{Cs}133Cs has been measured by the method of cascade-radio-frequency spectroscopy and cascade-level crossing. The sign of the magnetic-dipole coupling constant AAA is determined by the method of cascade-decoupling and cascade-radio-frequency spectroscopy with narrow-band excitation. Lifetimes $\ensuremath{\tau}$ of some of these states are measured by the cascade-Hanle effect. We find that for 87Rb^{87}\mathrm{Rb}87Rb, $A(5^{2}D_{\frac{3}{2}})=14.43\ifmmode\pm\else\textpm\fi{}0.23$ MHz, $A(5^{2}D_{\frac{5}{2}})=\ensuremath{-}7.44\ifmmode\pm\else\textpm\fi{}0.10$ MHz, $\ensuremath{\tau}(5^{2}D_{\frac{3}{2}})=205\ifmmode\pm\else\textpm\fi{}40$ nsec; for 85Rb^{85}\mathrm{Rb}85Rb, $A(5^{2}D_{\frac{3}{2}})=4.18\ifmmode\pm\else\textpm\fi{}0.20$ MHz, $A(5^{2}D_{\frac{5}{2}})=\ensuremath{-}2.12\ifmmode\pm\else\textpm\fi{}0.20$ MHz; for 133Cs^{133}\mathrm{Cs}133Cs, $A(6^{2}D_{\frac{3}{2}})=16.30\ifmmode\pm\else\textpm\fi{}0.15$ MHz, $A(6^{2}D_{\frac{5}{2}})=\ensuremath{-}3.6\ifmmode\pm\else\textpm\fi{}1.0$ MHz, $\ensuremath{\tau}(6^{2}D_{\frac{3}{2}})=57\ifmmode\pm\else\textpm\fi{}15$ nsec.
We report the first successful measurements by cascade radio-frequency spectroscopy of the hyperfine structures of excited SSS and DDD states of rubidium. We obtain the following magnetic dipole coupling constants (in MHz): for Rb87{\mathrm{Rb}}^{87}Rb87, $A(7^{2}S_{\frac{1}{2}})=312.5\ifmmode\pm\else\textpm\fi{}3.5$, $A(5^{2}D_{\frac{3}{2}})=14.1\ifmmode\pm\else\textpm\fi{}0.5$, $A(5^{2}D_{\frac{5}{2}})=\ensuremath{-}8.0\ifmmode\pm\else\textpm\fi{}1.5$; for Rb85{\mathrm{Rb}}^{85}Rb85, $A(7^{2}S_{\frac{1}{2}})=92.6\ifmmode\pm\else\textpm\fi{}1.0$, $A(5^{2}D_{\frac{3}{2}})=4.1\ifmmode\pm\else\textpm\fi{}0.5$. The anomalous, negative value of AAA for the 52D525^{2}D_{\frac{5}{2}}52D25​​ state may be related to the anomalously small fine-structure interval of the 5D5D5D state of rubidium.
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.
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