Our previous measurements in the P and D series in 133Cs have been extended to a number of higher lying levels, populated in a two-step excitation process involving an rf lamp and a CW dye laser. The D states were studied with the level-crossing technique, while the optical-double-resonance method was used for the investigation of the P states. For the magnetic dipole interaction constant a, the Landé gJ factor, and the tensor polarizability α2 we obtain 12 2 P 3/2: a = 1.10(3) MHz, gJ = 1.3340(15) 13 2 P 3/2: a = 0.77(5) MHz, gJ = 1.3337(20) 7 2 D 3/2: |a| = 7.4(2) MHz 14 2 D 3/2: |a| = 0.425(7) MHz 15 2 D 3/2: |a| = 0.325(8) MHz 16 2 D 3/2: |a| = 0.255(12) MHz 17 2 D 3/2: |a| = 0.190(12) MHz 18 2 D 3/2: |a| = 0.160(10) MHz 13 2 D 5/2: α2 = 19(1) GHz/(kV/cm)2 14 2 D 5/2: α2 = 37(2) GHz/(kV/cm)2 15 2 D 5/2: α2 = 70(4) GHz/(kV/cm)2 16 2 D 5/2: α2 = 120(6) GHz/(kV/cm)2 17 2 D 5/2: α2 = 199(10) GHz/(kV/cm)2 18 2 D 5/2: α2 = 323(16) GHz/(kV/cm)2 Ab initio calculations of many-body perturbation type, including polarization effects to all orders, have been performed in order to obtain theoretical values of the hyperfine structure constants. The resulting a factors are listed together with the corresponding experimental values for most S, P, and D states in 133Cs measured so far. The discrepancy between the experimental and theoretical values is mainly due to the omission of the correlation effect, which is essentially as important as the polarization effect. Still, for the D states the polarization effect is large enough to yield negative values for all the 2 D 5/2 states, which is in accordance with the experimental results. Semiempirical values of the a factors have also been obtained using the Fermi-Segré-Goudsmit formula, and the results are compared with the experimental values. The measured values of α2 agree well with values calculated with the Coulomb approximation due to Bates and Damgaard.

Electronic g, factors, natural lifetimes, and electric quadrupole interaction f o r Rbs7 iit the np zPp,., series of [he R b I spectrum.

Highly excited P and D states in 87Rb 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 constant a, the electric quadrupole interaction constant b, the Landé gJ factor, and the tensor polarizability α2 were obtained in level-crossing and optical-double-resonance experiments: 9 2 P 3/2: a = 4.05(3) MHz, b=0.55(3) MHz, gJ = 1.3335(15) 10 2 P 3/2: a = 2.60(8) MHz, gJ = 1.3332(20) 8 2 D 3/2: a = 2.840(15) MHz, b = 0.17(2) MHz 8 2 D 5/2: a = -1.20(15) MHz, gJ = 1.1998(15) 9 2 D 3/2: a = 1.900(10) MHz, b = 0.11(3) MHz 9 2 D 5/2: 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 negative a factors for the 2 D 5/2 states, indicating large perturbations, are explained by the polarization contribution. A review of experimental hyperfine interaction constants, Landé gJ factors and tensor polarizabilities for rubidium is given together with theoretical values of the a factors. The quadrupole moment for 87Rb is obtained from the b factors for the 2 P 3/2 and 2 D 3/2 states, using quadrupole parameters from the many-body calculations. The correlation effect is included in a semi-empirical way.

Using the optical double resonance and level crossing methods, properties of several excited S, P, and D states in 39K were studied. The S and D states were populated using stepwise excitation with the first P state as an intermediate level. An rf lamp and a CW dye laser were used in the first and second excitation steps, respectively. The studied P states were populated in the cascade decay of states, excited with the laser. The following results for the magnetic depole interaction constant a, the Landé gJ factor, and the tensor polarizability α2 were obtained for the studied states: 7 2 S 1/2: a = 10.78(5) MHz, g J = 2.0020(10); 8 2 S 1/2: a = 5.99(8) MHz, g J = 2.0028(12); 6 2 P 1/2: a = 4.05(7) MHz, g J = 0.6663(4); 6 2 P 3/2: a = 0.89(5) MHz, g J = 1.3337(8); 7 2 P 1/2: a = 2.18(5) MHz, g J = 0.6659(6); 7 2 P 3/2: a = 0.49(4) MHz, g J = 1.3336(8); 5 2 D 3/2: |a| = 0.44(10) MHz, g J = 0.7997(7), |α2| = 9.64(45) MHz/(kV)/cm)2; 5 2 D 5/2: |a| = 0.24(7) MHz, g J = 1.2004(10), |α2| = 13.4(7) MHz/(kV)/cm)2; 6 2 D 3/2: |a| = 0.2(2) MHz, g J = 0.7997(14), |α2| = 33.8(1.7) MHz/(kV)/cm)2; 6 2 D 5/2: |a| = 0.1(1) MHz, g J = 1.2013(20), |α2| = 47.6(2.4) MHz/(kV)/cm)2. Theoretical values for the magnetic dipole interaction constant have been obtained using a limited many-body perturbation expansion. The Polarization effect, which is due to single excitations from the restricted Hartree-Fock model, is included to all orders, while the true correlation effect is omitted. The results are compared with the experimental values, and the agreement is found to be quite good. For the S and P states the polarization effect is of the order of 10-20%, and it is responsible for roughly half of the deviation of the Hartree-Fock values from experiment. For the D states, on the other hand, the effects are much more drastic. The sign of the a factors has not been measured. The perturbative calculation yields positive values for all 2 D 3/2 states and negative values for all 2 D5/2 states. The theoretical magnitudes are in agreement with the observed ones.

Link to publication Citation for published version (APA): Svanberg, S., & Belin, G. (1974). Determination of hyperfine structure and g j factors in the sequences of 2 D states in alkali atoms using a tunable dye laser. Journal of Physics B: Atomic and Molecular Physics, 7(3). DOI: 10.1088/0022-3700/7/3/024General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal