Some peculiarities of the energy level, photoelectron and photoexcitation spectra of the atoms with a half-filled shell

Karazija, R; Momkauskaitė, A.

doi:10.1088/0031-8949/78/06/065301

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“…9. There are also interesting symmetry properties with respect to half of a subshell [51]. It was shown by Karazija and Momkauskaitė that the following explicit formula for the fractional parentage coefficients for the ground term of a half-filled subshell ℓ 2ℓ+1 with L = 0: provides the possibility of obtaining simple expressions for the intensities of the lines in photo-electron and photo-excitation spectra.…”

Section: Propensity Rulementioning

confidence: 99%

Regularities and symmetries in atomic structure and spectra

Pain¹

2013

High Energy Density Physics

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The use of statistical methods for the description of complex quantum systems was primarily motivated by the failure of a line-by-line interpretation of atomic spectra. Such methods reveal regularities and trends in the distributions of levels and lines. In the past, much attention was paid to the distribution of energy levels (Wigner surmise, random-matrix model...). However, information about the distribution of the lines (energy and strength) is lacking. Thirty years ago, Learner found empirically an unexpected law: the logarithm of the number of lines whose intensities lie between 2 k I0 and 2 k+1 I0, I0 being a reference intensity and k an integer, is a decreasing linear function of k. In the present work, the fractal nature of such an intriguing regularity is outlined and a calculation of its fractal dimension is proposed. Other peculiarities are also presented, such as the fact that the distribution of line strengths follows Benford's law of anomalous numbers, the existence of additional selection rules (PH coupling), the symmetry with respect to a quarter of the subshell in the spinadapted space (LL coupling) and the odd-even staggering in the distribution of quantum numbers, pointed out by Bauche and Cossé.

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Section: Propensity Rulementioning

confidence: 99%

Regularities and symmetries in atomic structure and spectra

Pain¹

2013

High Energy Density Physics

View full text Add to dashboard Cite

show abstract

Some peculiarities of the energy level, photoelectron and photoexcitation spectra of the atoms with a half-filled shell

Cited by 1 publication

References 20 publications

Regularities and symmetries in atomic structure and spectra

Regularities and symmetries in atomic structure and spectra

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