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Hyperfine-structure studies of Zr II: Experimental and relativistic configuration-interaction results

Journal Article · · Physical Review A; (United States)
;  [1]; ;  [2]
  1. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
  2. Physics Department, Michigan Technological University, Houghton, Michigan 49931 (United States)
We report an experimental and theoretical study of the hyperfine structure (hfs) in various metastable levels in [sup 91]Zr II. Hyperfine structures in 11 levels arising from the 4[ital d][sup 3] and 4[ital d][sup 2]5[ital s] configurations were measured using the laser-rf double-resonance method in a collinear laser--ion-beam geometry. The hfs [ital A] and [ital B] constants were measured to a precision of 4 and 11 kHz, respectively. Less precise values for hfs constants for nine upper levels in the 4[ital d][sup 2]5[ital p] configuration were derived from optical spectra. Theoretically, the [ital A] and [ital B] constants for the metastable levels having [ital J]=0.5 and 1.5 were calculated using a relativistic configuration-interaction (RCI) approach. The final many-body wave function produced energy gaps between the five [ital J]=0.5 levels which differ from experiment by an average of 0.050 eV, whereas the corresponding value for the ten [ital J]=1.5 levels is 0.087 eV. For the two [ital J]=0.5 levels measured and calculated, the average error in [ital A] is 31.8%. For the three [ital J]=1.5 levels, the situation is better, with the average error in [ital A] being 9.2%. For comparison, the average errors in [ital A] using independent-particle Dirac-Fock (DF) wave functions were 88% and 136% for [ital J]=0.5 and 1.5, respectively. In all cases, the many-body (RCI) result represents a [ital vast] improvement from the DF result for the [ital A] values. The value for the electric-quadrupole moment of [sup 91]Zr obtained from a comparison of the experimental [ital B] values and theoretical matrix elements is 0.257(0.013) b. In addition, the calculations confirm a previous report that the level at 17 614.00 cm[sup [minus]1] reported in Moore's [ital Atomic] [ital Energy] [ital Levels], [ital Vol]. [ital II] (U.S. Government Printing Office, Washington, D.C., 1971) is spurious.
DOE Contract Number:
FG02-92ER14282; W-31109-ENG-38
OSTI ID:
6520656
Journal Information:
Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 48:1; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English