Precision Stark spectroscopy of sodium: Improved values for the ionization limit and bound states

Ciocca, M.; Burkhardt, C. E.; Leventhal, J. J.; Bergeman, T.

doi:10.1103/physreva.45.4720

Cited by 40 publications

(24 citation statements)

References 25 publications

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“…3 for evaluation of the ionization energy E I , yielding a result that agrees well with a recent experimental value 0.188 957 a.u. of Ciocca et al 45 Also shown in Table VIII are parameters adopted by Côté and Dalgarno 17 and by Smirnov and Chibisov 23 for the empirical formula ͑19͒. Interestingly, for the distances beyond Rϭ9.5 Å, the RKHS exchange potential also closely matches the ab initio values.…”

Section: The Exchange Interaction Between Two Groundstate Na Atomssupporting

confidence: 52%

Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer

Rabitz

Scoles

2000

The Journal of Chemical Physics

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Articles you may be interested inSpin-orbit coupling in O 2 ( v ) + O 2 collisions. II. Quantum scattering calculations on dimer states involving the X Σ g − 3 , a Δ g 1 , and b Σ g + 1 states of O 2 A reliable ab initio potential energy surface and vibrational states for the ground electronic state of HgH 2 ( X Σ g + 1 )This work describes an extension of the Reproducing Kernel Hilbert Space ͑RKHS͒ method, in conjunction with the Tikhonov regularization, for constructing potential energy surfaces, with correct asymptotic forms, from high quality experimental measurements. The method is applied to the construction of new, global potential energy curves of the two lowest states X 1 ⌺ g ϩ and a 3 ⌺ u ϩ of the sodium dimer using rovibrational spectral measurements. The exchange interaction of Na 2 at intermediate and long ranges is accordingly derived and adopted for determining the ionization energy of the corresponding valence electron. It is found that the resulting ground-state X 1 ⌺ g ϩ dissociation energy 6022.025 (Ϯ0.049͒ cm Ϫ1 of Na 2 agrees within the experimental errors with the most recent experimental value ͓6022.0286 (Ϯ0.0053͒ cm Ϫ1 , Jones et al., Phys. Rev. A 54, R1006 ͑1996͔͒. The well depth of the a 3 ⌺ u ϩ state is determined to be 174.96 (Ϯ1.18͒ cm Ϫ1 , compared to the Rydberg-Klein-Rees ͑RKR͒ value of 174.45 (Ϯ0.36͒ cm Ϫ1 ͓Li et al., J. Chem. Phys. 82, 1178 ͑1985͔͒. Moreover, the equilibrium positions of both RKHS potential curves, 3.0796 (Ϯ0.0010͒ Å for the X 1 ⌺ g ϩ state and 5.089 (Ϯ0.062͒ Å for the a 3 ⌺ u ϩ state, are in excellent agreement with previously determined RKR results of 3.079 53 Å ͓Babaky and Hussein, Can. J. Phys. 67, 912 ͑1989͔͒ and 5.0911 Å ͑Li et al.͒, respectively. The experimentally determined values of the equilibrium position and well depth for the a 3 ⌺ u ϩ state differ from recent theoretical values of 5.192 Å and 177.7 cm Ϫ1 obtained by highly accurate ab initio calculations ͓Gutowski, J. Chem. Phys. 110, 4695 ͑1999͔͒. Finally, both RKHS potential curves at large distances reproduce very recent theoretical dispersion coefficients within 1.0ϫ10 Ϫ5 percentage errors.

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Section: The Exchange Interaction Between Two Groundstate Na Atomssupporting

confidence: 52%

Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer

Rabitz

Scoles

2000

The Journal of Chemical Physics

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“…Using Eq. (7) with the first ionization energies of 21 Ne and 21 Na [41,42] and the 21 Ne mass from the Atomic Mass Evaluation 2012 (AME2012) [37] the Q EC value was determined to be 3547.11 (9) keV from which the mass excess ME = (m−A×931494.0023(7) keV/u)c 2 of 21 Na, ME = −2184.63(10) keV, was deduced with Eq. (6).…”

Section: Resultsmentioning

confidence: 99%

Determination of theQECvalues of theT=1/2mirror nucleiNa
Eibach
¹
,
Bollen
²
,
Brodeur
³

et al. 2015
Phys. Rev. C
15
0
7
0
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We report the first direct measurement of the transition energy QEC of the 21 Na mixed FermiGamow-Teller decay. This is the first of the T = 1/2 mirror nuclei decays used for the determination of V ud to be measured with Penning trap mass spectrometry. In addition, the 29 P mass was measured directly for the first time and used along with the mass of its daughter, 29 Si, for the independent QEC determination of this decay. The obtained QEC 21 Na = 3547.11(9) keV and ME 29 P = −16953.15(47) keV significantly improve the latest published values and reduce the contribution of the QEC uncertainty on Ft mirror to the same order as the theoretical corrections.

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“…The experiments were conducted using apparatus designed for precision Stark spectroscopy [12). A beam of sodium atoms was irradiated with three laser beams at The Stark plates were designed to produce uniform fields as discussed previously [12][13][14].…”

Section: Apparatusmentioning

confidence: 99%

“…A beam of sodium atoms was irradiated with three laser beams at The Stark plates were designed to produce uniform fields as discussed previously [12][13][14]. One plate contained a slit 2.5 cm long by 500 pm wide to permit passage of the ions from the excitation region and into the detection region.…”

Section: Apparatusmentioning

confidence: 99%

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Floquet spectroscopy of hydrogenic states: Classical and quantal descriptions

Zhang

Ciocca

et al. 1994

Phys. Rev. A

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The responses of hydrogenic states of highly excited Rydberg atoms to dc and rf electric fields have been studied and the data interpreted from both classical and quantal viewpoints. The solution of the Schrodinger equation for this system leads to a network of progenitor and sideband states, a Floquet-Stark map that, although complex, exhibits regularities. These regularities are interpreted from a classical viewpoint by considering the near-Keplerian orbit of the valence electron as the dynamical entity rather than the electron itself. It is shown that the regularities in the Floquet-Stark map are the result of a commensurability of the dc Stark frequency and that of the applied rf. The experimental technique employed, Floquet spectroscopy, also provides data from which atomic parameters may be extracted, in this case the quantum of the (permanent) electric dipole moment (QDM) associated with hydrogenic manifolds of sodium Rydberg atoms. It is observed that the QDM's for sodium are larger than those for corresponding states of hydrogen. This observation is interpreted from a classical point of view.PACS number(s): 32.30.Bv, 32.60.+ i, 32.80.t

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Precision Stark spectroscopy of sodium: Improved values for the ionization limit and bound states

Cited by 40 publications

References 25 publications

Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer

Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer

Determination of theQECvalues of theT=1/2mirror nucleiNa
Eibach
¹
,
Bollen
²
,
Brodeur
³

et al. 2015
Phys. Rev. C
15
0
7
0
View full text Add to dashboard Cite

Floquet spectroscopy of hydrogenic states: Classical and quantal descriptions

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Precision Stark spectroscopy of sodium: Improved values for the ionization limit and bound states

Cited by 40 publications

References 25 publications

Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer

Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer

Determination of theQECvalues of theT=1/2mirror nucleiNaEibach1, Bollen2, Brodeur3 et al. 2015Phys. Rev. C15070View full textAdd to dashboardCite

Floquet spectroscopy of hydrogenic states: Classical and quantal descriptions

Contact Info

Product

Resources

About

Determination of theQECvalues of theT=1/2mirror nucleiNa
Eibach
¹
,
Bollen
²
,
Brodeur
³

et al. 2015
Phys. Rev. C
15
0
7
0
View full text Add to dashboard Cite