J. Blaise, J.-F. Wyart, R. Engleman, and B. A. Palmer, "Precision isotope shifts for the heavy elements. iv. Theoretical interpretation of the shifts in the low even configurations of Th i and Th ii," J. Opt. Soc. Am. B 5, 2087-2092 (1988)
The low even levels of Th i and Th ii are interpreted by using the Slater–Condon parametric method and by taking into account recent results obtained by using Fourier-transform spectrometry. Several levels of 6d4, starting with 5D0 at 21176.01 cm−1, are identified in Th i. The eigenfunctions in intermediate coupling are applied to the phenomenological interpretation of the isotope shifts in both spectra.
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
The definition of the parameters is the same as in Ref. 10. H(6d2, 6d7s) = (1/35) R2(6d2,6d 7s). The numbers in parentheses are the standard errors.
Fixed ratio with G2(6d, 7s).
Held equal to the parameter above.
Obeys the condition 2P(dN+1s) = P(dN+2) + P(dNs2).
Table 2
Comparison between Experiment and Theory for Energies (in cm−1), Isotope Shifts ΔT (in 10−3 cm−1), and g factors in Th ii 6d3 + 6d27s + 6d7s2a
The sums of the squared amplitudes for the three configurations and the leading component of the eigenfunction are given in the last four columns.
The calculated mixing is too weak for these levels, a sum rule reduces the discrepancies for both g values and isotope shifts, which have been discarded from the fitting process.
The calculated mixing is unsatisfactory for these three levels. Isotope-shift values are discarded from the fitting process.
The calculated mixing is too strong for these levels. Isotope-shift values are discarded from the fitting process.
Table 3
Isotope-Shift Parameters (in 10−3 cm−1) for the Configurations 6d3 + 6d27s + 6d7s2 of Th ii and 6d4 + 6d37s+6d27s2of Th ia
The parameters are defined according to Ref. 4 (see text).
The parameter is held equal to the previous one.
The parameter is held in a constant ratio (the same as spin-orbit parameters) with zd (dN+2).
Table 4
Comparison between Experiment and Theory for Energies (in cm−1), Isotope Shifts ΔT (in 10 −3 cm −1), and g factors in Th i 6d4 + 6d37s + 6d27s2a
The sums of the squared amplitudes for the three configurations and the leading component of the eigenfunction are given in the last four columns.
According to experimental isotope shifts, 6d37s should be the leading configuration of the 14 226 level whose mixing with the 16 351 level is quantitative incorrect. A sum rule reduces the discrepancies. The ΔT values are discarded from the fitting process.
This level is reported here for the first time to our knowledge. It classifies lines in Refs. 1 and 14.
The large deviations most likely are due to the presence of the overlapping configuration 5f 7s27p. The ΔT values are discarded from the fitting process.
The upper levels of 6d4 may be subjected to mixing with overlapping configurations of larger shift. The identifications are tentative and ΔT values a discarded from the fitting process.
The mixing of these levels is incorrect, and the ΔT values are discarded from the fitting process.
Tables (4)
Table 1
Energy Parameters and Their Standard Errors (in cm−1) for the Configurations 6d3 + 6d27s + 6d7s2 of Th ii and 6d4 + 6d37s + 6d27s2 of Th ia
The definition of the parameters is the same as in Ref. 10. H(6d2, 6d7s) = (1/35) R2(6d2,6d 7s). The numbers in parentheses are the standard errors.
Fixed ratio with G2(6d, 7s).
Held equal to the parameter above.
Obeys the condition 2P(dN+1s) = P(dN+2) + P(dNs2).
Table 2
Comparison between Experiment and Theory for Energies (in cm−1), Isotope Shifts ΔT (in 10−3 cm−1), and g factors in Th ii 6d3 + 6d27s + 6d7s2a
The sums of the squared amplitudes for the three configurations and the leading component of the eigenfunction are given in the last four columns.
The calculated mixing is too weak for these levels, a sum rule reduces the discrepancies for both g values and isotope shifts, which have been discarded from the fitting process.
The calculated mixing is unsatisfactory for these three levels. Isotope-shift values are discarded from the fitting process.
The calculated mixing is too strong for these levels. Isotope-shift values are discarded from the fitting process.
Table 3
Isotope-Shift Parameters (in 10−3 cm−1) for the Configurations 6d3 + 6d27s + 6d7s2 of Th ii and 6d4 + 6d37s+6d27s2of Th ia
The parameters are defined according to Ref. 4 (see text).
The parameter is held equal to the previous one.
The parameter is held in a constant ratio (the same as spin-orbit parameters) with zd (dN+2).
Table 4
Comparison between Experiment and Theory for Energies (in cm−1), Isotope Shifts ΔT (in 10 −3 cm −1), and g factors in Th i 6d4 + 6d37s + 6d27s2a
The sums of the squared amplitudes for the three configurations and the leading component of the eigenfunction are given in the last four columns.
According to experimental isotope shifts, 6d37s should be the leading configuration of the 14 226 level whose mixing with the 16 351 level is quantitative incorrect. A sum rule reduces the discrepancies. The ΔT values are discarded from the fitting process.
This level is reported here for the first time to our knowledge. It classifies lines in Refs. 1 and 14.
The large deviations most likely are due to the presence of the overlapping configuration 5f 7s27p. The ΔT values are discarded from the fitting process.
The upper levels of 6d4 may be subjected to mixing with overlapping configurations of larger shift. The identifications are tentative and ΔT values a discarded from the fitting process.
The mixing of these levels is incorrect, and the ΔT values are discarded from the fitting process.