Abstract

Neutral Chromium (Cr I) is an important element in many laboratory plasma applications. In this work, expectation values of the radius for Cr I are calculated. These atomic data are calculated with three different atomic codes: Cowan code using the Hartree–Fock Relativistic approximation, SUPERSTRUCTURE and AUTOSTRUCTURE codes using scaled Thomas–Fermi–Dirac–Amaldi potential. Relativistic corrections are introduced according to the Breit–Pauli approach. The 3 d 5 4 s , 3 d 4 4 s 2 , 3 d 5 4 d , 3 d 5 4 p and 3 d 4 4 s 4 p configurations are included to obtain the expectation values of radius of Cr I and compared with available data. The novelty of our work is to obtain new values of < 1 r > , < r > , and < r 2 > for the configuration of 4 p and 4 d and the values of < r 3 > for all orbitals configurations considered in this work.

Highlights

  • The Chromium (Cr I) is a transition metal and has electronic configuration as [Ar] 3d5 4s1, ground-state level: 7 S3 and ionization energy: 6.76651 eV (National Institute of Standards and Technology (NIST) database [1])

  • The radial integrals F k were kept at 85%, the exchange integral G k and configuration interaction integrals Rk were kept at 80% of the Hartree–Fock Relativistic (HFR) values

  • The values obtained by the three atomic structure codes are in good agreement in general, but hydrogen approximation (HA) gives good values only for the inner orbits

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Summary

Introduction

The Chromium (Cr I) is a transition metal and has electronic configuration as [Ar] 3d5 4s1 , ground-state level: 7 S3 and ionization energy: 6.76651 eV (National Institute of Standards and Technology (NIST) database [1]). Description and analysis of the first spectrum of neutral chromium (Cr I) have been studied experimentally by Kiss 1953 [2]. For laboratories and astrophysical plasmas, the study of chromium is important and it occurs in some fusion experiments. Many laboratory techniques are used to have Cr I atomic structure data (see Sobeck et al 2007 [3]). Chromium in its various ionization stages is important for analyzing atmospheres of some stars and many works are done for the chromium in astrophysical plasmas (see [4])

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