Relativistic coupled-cluster static dipole polarizabilities of the alkali metals from Li to element 119

Lim, Ivan S.; Pernpointner, Markus; Seth, Michael; Laerdahl, Jon K.; Schwerdtfeger, Peter; Neogrády, Pavel; Urban, Miroslav

doi:10.1103/physreva.60.2822

Cited by 88 publications

(67 citation statements)

References 46 publications

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“…They have used a model potential approach to determine asymptotic wave functions and have obtained analytical expressions for the transition multipolar matrix elements as well as to evaluate the multipolar polarizabilities. The results of Maroulis, 18 Lim et al 44 Mérawa and Rérat, 45 Staton, 46 Sadlej and Urban, 47 and are in better agreement with our latter result ͑Ϸ0.03% ͒. These calculations evaluate the static dipole polarizability without core polarization correction.…”

Section: Resultssupporting

confidence: 80%

Multipolar polarizabilities of the sodium atom by a variationally stable procedure

Cebim

Groote

2005

The Journal of Chemical Physics

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Section: Resultssupporting

confidence: 80%

Multipolar polarizabilities of the sodium atom by a variationally stable procedure

Cebim

Groote

2005

The Journal of Chemical Physics

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“…The relativistic correction on the polarizability has been studied by Lim et al [35]. They have made different calculations (Hartree-Fock, second order Möller-Plesset, coupled cluster CCSD and CCSD(T)) and in all cases, their relativistic result is lower than the non-relativistic result with a difference in the 0.05 − 0.07 a.u.…”

Section: B the Electric Polarizability Of Lithiummentioning

confidence: 99%

Atom interferometry measurement of the electric polarizability of lithium

Miffre

Jacquey²,

Büchner³

et al. 2006

Eur. Phys. J. D

123

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Using an atom interferometer, we have measured the static electric polarizability of 7 Li α = (24.33 ± 0.16) × 10 −30 m 3 = 164.19 ± 1.08 atomic units with a 0.66% uncertainty. Our experiment, which is similar to an experiment done on sodium in 1995 by D. Pritchard and co-workers, consists in applying an electric field on one of the two interfering beams and measuring the resulting phaseshift. With respect to D. Pritchard's experiment, we have made several improvements which are described in detail in this paper: the capacitor design is such that the electric field can be calculated analytically; the phase sensitivity of our interferometer is substantially better, near 16 mrad/ √ Hz; finally our interferometer is species selective so that impurities present in our atomic beam (other alkali atoms or lithium dimers) do not perturb our measurement. The extreme sensitivity of atom interferometry is well illustrated by our experiment: our measurement amounts to measuring a slight increase ∆v of the atom velocity v when it enters the electric field region and our present sensitivity is sufficient to detect a variation ∆v/v ≈ 6 × 10 −13 .

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“…Values for the 6 2 P 1/2 and 6 2 P 3/2 lifetimes and the 6 2 S 1/2 cesium-cesium dispersion coefficient C 6 are determined from α 0 using the procedure of Derevianko The static polarizability quantifies the effect of one of the simplest perturbations to an atom: the application of a static electric field inducing a dipole moment [1,2]. With increasing atomic number, relativistic effects [3,4] and core electron contributions [5,6] to the alkali polarizabilities become increasingly significant. In cesium, the heaviest stable alkali, the relativistic effects reduce the polarizability by 16% and the core contributes 4%.…”

mentioning

confidence: 99%

High Precision Measurement of the Static Dipole Polarizability of Cesium

2003

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The cesium 6 2 S 1/2 scalar dipole polarizability α 0 has been determined from the time-of-flight of laser cooled and launched cesium atoms traveling through an electric field. We find α 0 = 6.611 ± 0.009 × 10 −39 Cm 2 /V = 59.42 ± 0.08 × 10 −24 cm 3 = 401.0 ± 0.6 a 3 0 . The 0.14% uncertainty is a factor of fourteen improvement over the previous measurement. Values for the 6 2 P 1/2 and 6 2 P 3/2 lifetimes and the 6 2 S 1/2 cesium-cesium dispersion coefficient C 6 are determined from α 0 using the procedure of Derevianko and Porsev [Phys. Rev. A 65, 053403 (2002)].PACS numbers: 32.10. Dk,32.60.+i,32.70.Cs The static polarizability quantifies the effect of one of the simplest perturbations to an atom: the application of a static electric field inducing a dipole moment [1,2]. With increasing atomic number, relativistic effects [3,4] and core electron contributions [5,6] to the alkali polarizabilities become increasingly significant. In cesium, the heaviest stable alkali, the relativistic effects reduce the polarizability by 16% and the core contributes 4%. However, experimental uncertainties have made the measurements of the alkali polarizabilities relatively insensitive to the smaller core contribution, as shown in Fig 1. With the largest relativistic correction and core contribution of the stable alkali atoms, the cesium polarizability is an ideal benchmark for testing the theoretical treatment of both relativistic effects and core contributions. Our measurement advances the accuracy of the cesium polarizability by a factor of fourteen over the previous measurement [7] and places the uncertainty at 4% of the core contribution. [8] and [7], respectively, and (c) is this work. The contribution to the polarizability from the core electrons is expected to be smaller in Li than in Na. * Electronic address: JAMaddi@lbl.gov; Also at Physics Department, University California at Berkeley, Berkeley, CA 94720. † Electronic address: Gould@lbl.gov To our measurement's level of accuracy, the hyperfine levels of the cesium ground state have a common polarizability α 0 . From angular momentum relations [9], the dependencies of the polarizability on the hyperfine level F and on the magnetic sublevel M F are greatly suppressed in the cesium ground state. The small remaining dependencies, generated by the hyperfine interaction, have been measured in Refs. [10,11,12].For a static electric field E of moderate strength, the potential energy W of a neutral cesium atom in that field may be written in terms of α 0 as W = −(1/2)α 0 E 2 . All odd terms in E are disallowed by parity conservation and the linear term, also forbidden by time-reversal invariance, is experimentally known to be less than 1.6 × 10 −44 C-m in cesium [13]. The hyperpolarizability contribution, which scales as E 4 , has been calculated [14,15] and is negligible at the fields used for our measurement.Prior to the interferometric measurement of Ekstrom et. al. [8], the most accurate determinations of the alkali polarizabilities [7,16] had been made by measuring t...

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Relativistic coupled-cluster static dipole polarizabilities of the alkali metals from Li to element 119

Cited by 88 publications

References 46 publications

Multipolar polarizabilities of the sodium atom by a variationally stable procedure

Multipolar polarizabilities of the sodium atom by a variationally stable procedure

Atom interferometry measurement of the electric polarizability of lithium

High Precision Measurement of the Static Dipole Polarizability of Cesium

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