Abstract
It is important to investigate whether non—relativistic errors in calculated oscillator strengths and related atomic data are large enough to obscure corrections applied in relativistic calculations. The magnitude such errors is however difficult to estimate. This is just one reason why the accuracy of the atomic data needs careful scrutiny. Application to the analysis of line intensities in laboratory and astropyhsical plasmas is a more general one. This review therefore focuses on errors that can affect the accuracy of calculated oscillator strengths. Precautions that can be taken to minimise errors arising from different causes are surveyed. Special attention is given to their reduction through the improvement of eigenvectors with Slater parameter optimisation methods. These semi-empirical methods for improving the accuracy of oscillator strengths can be important in fully relativistic calculations for a range of ions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Cowan, R. D. “The Theory of Atomic Structure and Spectra” (Author’s description of HFR) (Univ. California Press, Berkeley and Los Angeles, 1981).
Cowan R. D, J. Opt. Soc. Am. 58 808, 924, (1968)
Fawcett, B.C., Rutherford Appleton Laboratory Report RL-83–030 (Revised Edition). (1984).
Cowan, R.D., Fawcett, B.C., Grant, I.P., Rose, S.J., Rutherford Appleton Laboratory Report RAL-85–098. (1985)
Fawcett, B.C., Rutherford Appleton Laboratory Report RAL-87–051.(1987)
Froese Fischer C, (1972) Comput Phys Commun. 4, 107 and ibid (1974) 7 236 (Author’s description of MCHF).
Froese Fischer C, (1977) “The Hartree—Fock method for Atoms”, Publ. J. J. Wiley, NY. Author’s description of MCHF).
Grant, I. P. Mckenzie B. J. Norrington P. H. Computer Physics Comm. 21 207 (1980) ibid 21 233. (Author’s description of MCDF)
Dyall, K.G., Grant, I.P., Johnson, C.T., Parpia, F.A., and Plummer, E.P., Comput. Phys. Commun. 55 (1989) 425 (Author’s description of GRASP)
Parpia, F.A. Grant, I.P. Dyall, K.G. and Fischer, C.F. ( In preparation) (Author’s description of GRASP2).
Desclaux, J. P., Computer Phys. Commun. 9 31 (1975)
Klapisch, M. C. R. Acad. Sci. B 265, 914 (1967)
Hibbert, A., Computer Phys. Commun. 9, 141–172 (1975)
Eissner, W., Jones, M., and Nussbaumer, H., Comput. Phys. Commun. 8, 230 (1974).
Fawcett, B.C., Physica Scripta Vol. 34, 331–336 (1986).
Fawcett, B.C. Rutherford Appleton Laboratory Report RAL-87–114 (1987).
Fawcett, B.C. Cowan, R. D. (1988) J. Quant. Spectrosc. Radiat. Transfer 40, 15–20 (1988).
Blume M. and Watson R. E., Proc. R. Soc. A 270, 127 (1962), 271 565 (1963).
Fawcett, B.C. Atomic Data and Nuclear Data Tables 41,182–255 (1989).
Bromage, G.E., Cowan, R.D., and Fawcett, B.C., Physica Scripta 15 177–182 (1977).
Bromage, G.E., Cowan, R.D., Fawcett, B.C., Mon. Not. R. astr. Soc. 183 19–28 (1978).
Fawcett, B.C. Atomic Data and Nuclear Data Tables 35 185–202 1986.
Fawcett, B.C. Atomic Data and Nuclear Data Tables 35 203–222 1986.
Fawcett, B.C. Atomic Data and Nuclear Data Tables 36 129–149 1987.
Fawcett, B.C. Atomic Data and Nuclear Data Tables 36,151–166 (1987).
Cowan, R.D., Bromage, G.E., Fawcett, B.C. Mon. Not. R. astr. Soc. 210 439–442 (1984).
Wiese W. L. and Fuhr J. R., J. Phys. Chem. Ref. Data 4, 263 (1973)
Younger S. M., Fuhr J. R., Martin G. A., and Wiese W. L., J. Phys. Chem. Ref. Data 7, 495 (1978)
Fuhr J. R., Martin G. A., Wiese W. L. and Younger S. M., J. Phys. Chem. Ref. Data 10 305 (1981)
Fawcett, B.C., Atomic Data and Nuclear Data Tables, “Computed Oscillator Strengths for Ce II and Landé—g values” 46 (1990).
Fawcett, B.C. and Wilson, M. (Accepted 1990) Atomic Data and Nuclear Data Tables “Computed Oscillator Strengths and Lifetimes of Low—lying Levels of Yb+”.
Fawcett, B.C. (Accepted 1990).Physica Scripta.“ Landé—g values for Fe II applied to error determination for oscillator strengths and data depending on eigenvectors”
Fawcett, B.C. Atomic Data and Nuclear Data Tables 37 333–364 (1987).
Fawcett, B.C. Atomic Data and Nuclear Data Tables 40,1–8 (1988).
Fawcett, B.C. (1984). Atomic Data and Nuclear Data Tables 30 1–26 (1977).
Fawcett, B.C. Atomic Data and Nuclear Data Tables 33 479–482 (1985).
Fawcett, B.C. Atomic Data and Nuclear Data Tables 43, (1989).
Fawcett, B.C. and Mason, H.E. Laboratory Report RAL-8910 (1989).
Fawcett, B.C. and Mason, H.E. Atomic Data and Nuclear Data Tables 43, 245–258 (1989), ibid 47 (1990).
Eissner W. and Seaton, M. J., J. Phys. B. Atom. Molec Phys. 5 2187 (1972).
Saraph, H. E., Computer Phys. Commun. 3, 256 (1972)
Berrington, K. A., Burke P. G., Dourneuf, M. L., Robb, W. D., Taylor, K. T. and Lan, Vo Ky. Computer Phys. Commun. 14 367–412 (1978)
Fawcett, B.C. and Mason, H.E. Atomic Data and Nuclear Data Tables (Accepted 1990).
Fawcett, B.C., Atomic and Nuclear Data Tables 22 473–489 (1978). “Oscillator strengths for 2s22pn-2s2pn+1 and 2s2pn+1–2pn+2 transitions and for 2s22pn. ”Forbidden“ transitions”.
Bromage, G.E., and Fawcett, B.C., Mon. Not. R. astr. Soc. 178 pp. 605–610 (1977). “The 2p2-2p3d transition array of Fe XXI and isoelectronic ions”.
Bromage, G.E., and Fawcett, B.C., Mon. Not. R. astr. Soc. 178 pp. 591–598 (1977). “The 2p4-2p33d transition array of Fe XIX and isoelectronic ions”.
Bromage, G.E., Fawcett, B.C., Mon. Not. R. astr. Soc. Vol.179 pp. 638–689. “The 2p3-2p23d transition array in Fe XX and isoelectronic ions”.
Fawcett, B.C., Atomic Data and Nuclear Data Tables 30, 423–455 (1984). “Calculated oscillator strengths for n = 2–2 and n = 2–3 transitions in Be I, B II, C III and N IV”.
Fawcett, B.C., Atomic Data and Nuclear Data Tables 31, 495–549 (1984). “Calculated wavelengths, oscillator strengths and energy levels for n = 2–2 and 2–3 transitions in F—like ions Mg IV to Ni XX and also 3–3 transitions for Mg IV, Al V and Si VI”.
Fawcett, B.C., Atomic Data and Nuclear Data Tables 34, 215–260 (1986). “Calculated wavelengths and oscillator strengths of n = 2–2 and 2–3 transitions for ions in the 0 I—like isoelectronic sequence between Mg V and Ni XXI”.
Fawcett, B.C., Atomic Data and Nuclear Data Tables 37,367–410 (1987). “Calculated wavelengths oscillator strengths and energy levels for allowed 2–2 and 2–3 transitions for ions in the C—like isoelectronic sequence between F IV and Ni XXIII”.
Fawcett, B.C., Atomic Data and Nuclear Data Tables 37,411–418 (1987). “Oscillator strengths of allowed transitions for C I, N II and O III”.
Fawcett, B.C., Physica Scripta. 30, 326–334 (1984). “Oscillator strengths for Al IV to Ar IX and revised energy levels of Ar IX”.
Fawcett, B.C., Jordan, C., Lernen, J.R., and Phillips, K.J.H., Rutherford Appleton Laboratory Report RAL-86–094. (1986). “New spectral line identifications in high temperature flares”. with Appendix: Fawcett, B. C. “ Tables of Wavelengths and Oscillator Strengths for n=2–4 Transitions in Fe XXI, Fe XXII and Fe XXIII and Energy Levels”
Bhatia, A. K., Fawcett, B.C., Lemen,J.R, Mason, H.E. and Phillips, K.J.H., Mon. Not. R. astr. Soc. (1989). “A comparison of theoretical and solar—flare intensity ratios for the Fe XIX X—ray lines”.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fawcett, B.C. (1991). On the Accuracy of Oscillator Strengths. In: Wilson, S., Grant, I.P., Gyorffy, B.L. (eds) The Effects of Relativity in Atoms, Molecules, and the Solid State. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3702-1_3
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3702-1_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6646-1
Online ISBN: 978-1-4615-3702-1
eBook Packages: Springer Book Archive