Hyperfine structure of Sc ii: Experiment and theory

“…We use the results of both these studies where available, adopting an average weighted according to the stated uncertainties; in practice this means that the results of Mansour et al (1989) dominate due to their smaller error bars. Where data are not available from both Villemoes et al (1992) and Mansour et al (1989), we turn to each of these studies individually, followed by the experiments of Young et al (1988) and then Arnesen et al (1982). Apart from the recent work by Zhang et al (2008), previous determinations of the solar Sc abundance have not considered the effects of HFS in Sc , and only incompletely considered the effects in Sc .…”

Section: Hyperfine Structurementioning

confidence: 99%

The elemental composition of the Sun

Scott

Asplund

Grevesse

et al. 2014

A&A

269

202

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We redetermine the abundances of all iron group nuclei in the Sun, based on neutral and singly-ionised lines of Sc, Ti, V, Mn, Fe, Co and Ni in the solar spectrum. We employ a realistic 3D hydrodynamic model solar atmosphere, corrections for departures from local thermodynamic equilibrium (NLTE), stringent line selection procedures and high quality observational data. We have scoured the literature for the best quality oscillator strengths, hyperfine constants and isotopic separations available for our chosen lines. We find log Sc = 3.16 ± 0.04, log Ti = 4.93 ± 0.04, log V = 3.89 ± 0.08, log Cr = 5.62 ± 0.04, log Mn = 5.42 ± 0.04, log Fe = 7.47 ± 0.04, log Co = 4.93 ± 0.05 and log Ni = 6.20 ± 0.04. Our uncertainties factor in both statistical and systematic errors (the latter estimated for possible errors in the model atmospheres and NLTE line formation). The new abundances are generally in good agreement with the CI meteoritic abundances but with some notable exceptions. This analysis constitutes both a full exposition and a slight update of the preliminary results we presented in Asplund et al. (2009, ARA&A, 47, 481), including full line lists and details of all input data we employed.

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“…The interaction is of one-particle nature and previous work [4,5] has shown that all single substitutions from a reference set and some selected double substitutions could explain the hyperfine structure splitting successfully. Core polarization, however, is difficult to capture in a multi-configuration approach [6].…”

Section: Hyperfine Structure Of Vanadiummentioning

confidence: 99%

“…Fig. 6 The core-valence configuration interaction calculation is extended by the groups left out in the multi-configuration Hartree-Fock. The configuration interaction calculation is performed until the limit of 300000 configuration state functions is reached after layer 7.…”

Section: Configuration Interactionmentioning

confidence: 99%

Large scale multi-configuration Hartree-Fock calculation of the hyperfine structure of the ground state of vanadium

Scharf

Gaigalas²

2006

Open Physics

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Abstract:The hyperfine structure of the ground state of vanadium, 51 Vi, is calculated in the nonrelativistic framework of the multi-configuration Hartree-Fock approximation. A configuration state function limiting algorithm is used to make the calculations feasible and to study the influence of core, valence and core-valence correlations in detail. The obtained configuration state function space captures the most important orbital correlations within 2%. Further correlations are included through configuration interaction calculation. The atomic state functions are used to evaluate the magnetic dipole hyperfine factor A and the electric quadrupole factor B. It turns out that the ab initio calculation can not capture the core polarization of the 2s shell. It introduces an error that is higher than the Hartree-Fock approximation. However, the detailed correlations being observed suggest the introduction of a wrong correlation orbital due to the algorithm being used. Neglecting this orbital leads to good agreement with 2% deviation from the experimental values for the A factors.

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Hyperfine structure of Sc ii: Experiment and theory

Cited by 38 publications

References 19 publications

Dipole moments and hyperfine interactions in scandium monosulfide, ScS

Dipole moments and hyperfine interactions in scandium monosulfide, ScS

The elemental composition of the Sun

Large scale multi-configuration Hartree-Fock calculation of the hyperfine structure of the ground state of vanadium

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