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HFSZEEMAN - A program for computing weak and intermediate field fine and hyperfine structure Zeeman splittings from MCDHF wave functions

Andersson, Martin LU and Jönsson, Per (2008) In Computer Physics Communications 178(2). p.156-170
Abstract
Given electronic wave functions generated by the grasp2K relativistic atomic structure package, this program calculates diagonal magnetic dipole A(J) and electric quadrupole B-J hyperfine interaction constants and Lande g(J) factors. In addition the program computes diagonal and off-diagonal reduced hyperfine and Zeeman matrix elements and constructs the total interaction matrix for an atom in an external magnetic field. By diagonalizing the interaction matrix and plotting eigenvalues as functions of the magnetic field, Zeeman splittings of hyperfine levels are obtained. The method is applicable in the weak and intermediate field regions and yields results that are useful when analyzing spectra from e.g. EBIT sources and magnetic stars.... (More)
Given electronic wave functions generated by the grasp2K relativistic atomic structure package, this program calculates diagonal magnetic dipole A(J) and electric quadrupole B-J hyperfine interaction constants and Lande g(J) factors. In addition the program computes diagonal and off-diagonal reduced hyperfine and Zeeman matrix elements and constructs the total interaction matrix for an atom in an external magnetic field. By diagonalizing the interaction matrix and plotting eigenvalues as functions of the magnetic field, Zeeman splittings of hyperfine levels are obtained. The method is applicable in the weak and intermediate field regions and yields results that are useful when analyzing spectra from e.g. EBIT sources and magnetic stars. The program can also be used in the field free limit to calculate mixing coefficients that determine rates of hyperfine induced transitions. For atoms with zero nuclear spin I the program computes splittings of the fine-structure levels. Program summary Program title: HFSZEEMAN Catalogue identifier: ADZS_v1_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADZS-v1-0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 1528 No. of bytes in distributed program, including test data, etc.: 294 664 Distribution format: tar.gz Programming language: Fortran, Matlab Computer: IBM-compatible PC, unix workstation Operating system: Unix, Linux Classification: 11.6 Subprograms used: Cat Id: ADZL_v1_0; Title: grasp2K v1.0; Reference: CPC 177 (2007) 597 Nature of problem: Prediction of weak and intermediate field Zeeman splittings of fine- and hyperfine structure levels using multiconfiguration Dirac-Hartree-Fock wave functions. Solution method: The electronic wave function for a state labeled Gamma JM is expanded in terms of jj-coupled configuration state functions vertical bar Gamma JM > = Sigma(gamma)c(gamma)vertical bar gamma JM >. In this representation the reduced matrix elements used to construct the interaction matrix can be computed as sums over one-particle radial integrals. By diagonalizing the interaction matrix and plotting eigenvalue as functions of the magnetic field, Zeeman splittings of fine- and hyperfine structure levels are obtained. Restrictions: The complexity of the cases that can be handled is entirely determined by the grasp2K package [P. Jonsson, H. Xe, C. Froese Fischer, I.P. Grant, Comput. Phys. Commun. 177 (2007) 597] used for the generation of the electronic wave functions. Running time: CPU time required to execute test cases: a few seconds. (Less)
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author
organization
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Contribution to journal
publication status
published
subject
keywords
Paschen-Back effect, Zeeman effect, Lande g(J) factor, factors, A and B, relativistic atomic wave functions, hyperfine structure, magnetic field, multiconfiguration Dirac-Hartree-Fock plus Breit
in
Computer Physics Communications
volume
178
issue
2
pages
156 - 170
publisher
Elsevier
external identifiers
  • wos:000252919700008
  • scopus:37249063165
ISSN
0010-4655
DOI
10.1016/j.cpc.2007.07.014
language
English
LU publication?
yes
id
32e6eb0b-8382-43f8-a31b-22ccce4dfc14 (old id 1198752)
date added to LUP
2008-09-10 16:43:04
date last changed
2017-11-12 03:46:28
@article{32e6eb0b-8382-43f8-a31b-22ccce4dfc14,
  abstract     = {Given electronic wave functions generated by the grasp2K relativistic atomic structure package, this program calculates diagonal magnetic dipole A(J) and electric quadrupole B-J hyperfine interaction constants and Lande g(J) factors. In addition the program computes diagonal and off-diagonal reduced hyperfine and Zeeman matrix elements and constructs the total interaction matrix for an atom in an external magnetic field. By diagonalizing the interaction matrix and plotting eigenvalues as functions of the magnetic field, Zeeman splittings of hyperfine levels are obtained. The method is applicable in the weak and intermediate field regions and yields results that are useful when analyzing spectra from e.g. EBIT sources and magnetic stars. The program can also be used in the field free limit to calculate mixing coefficients that determine rates of hyperfine induced transitions. For atoms with zero nuclear spin I the program computes splittings of the fine-structure levels. Program summary Program title: HFSZEEMAN Catalogue identifier: ADZS_v1_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADZS-v1-0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 1528 No. of bytes in distributed program, including test data, etc.: 294 664 Distribution format: tar.gz Programming language: Fortran, Matlab Computer: IBM-compatible PC, unix workstation Operating system: Unix, Linux Classification: 11.6 Subprograms used: Cat Id: ADZL_v1_0; Title: grasp2K v1.0; Reference: CPC 177 (2007) 597 Nature of problem: Prediction of weak and intermediate field Zeeman splittings of fine- and hyperfine structure levels using multiconfiguration Dirac-Hartree-Fock wave functions. Solution method: The electronic wave function for a state labeled Gamma JM is expanded in terms of jj-coupled configuration state functions vertical bar Gamma JM > = Sigma(gamma)c(gamma)vertical bar gamma JM >. In this representation the reduced matrix elements used to construct the interaction matrix can be computed as sums over one-particle radial integrals. By diagonalizing the interaction matrix and plotting eigenvalue as functions of the magnetic field, Zeeman splittings of fine- and hyperfine structure levels are obtained. Restrictions: The complexity of the cases that can be handled is entirely determined by the grasp2K package [P. Jonsson, H. Xe, C. Froese Fischer, I.P. Grant, Comput. Phys. Commun. 177 (2007) 597] used for the generation of the electronic wave functions. Running time: CPU time required to execute test cases: a few seconds.},
  author       = {Andersson, Martin and Jönsson, Per},
  issn         = {0010-4655},
  keyword      = {Paschen-Back effect,Zeeman effect,Lande g(J) factor,factors,A and B,relativistic atomic wave functions,hyperfine structure,magnetic field,multiconfiguration Dirac-Hartree-Fock plus Breit},
  language     = {eng},
  number       = {2},
  pages        = {156--170},
  publisher    = {Elsevier},
  series       = {Computer Physics Communications},
  title        = {HFSZEEMAN - A program for computing weak and intermediate field fine and hyperfine structure Zeeman splittings from MCDHF wave functions},
  url          = {http://dx.doi.org/10.1016/j.cpc.2007.07.014},
  volume       = {178},
  year         = {2008},
}