Theoretical Analysis of Rydberg and Autoionizing State Spectra of Antimony

In the frame work of multi-channel quantum defect theory (MQDT), the energy levels of three even Rydberg series 4f13(2F7/2o)6s(7/2, 1/2)4onp3/2, 4f13(2F7/2o)6s(7/2, 1/2)3onp3/2 and 4f13(2F7/2o)6s(7/2, 1/2)3onp1/2 converging to 4f13(2F7/2o)6s(7/2, 1/2)4o or 4f13(2F7/2o)6s(7/2, 1/2)3o of thulium atom are calculated by relativistic multi-channel theory. Compared with the experimental data from National Institute of Standards and Technology (NIST), the theoretical result shows two different types of electron-correlation effects: 1)the interaction between two Rydberg series results in energy shifts for these Rydberg series; 2)an isolated perturbed state is embedded in the energy range of a Rydberg series and interacts with the whole series, and breaks the regularity of the Rydberg series, and quantum defects show a large jump around the perturbed state. More specifically, by comparing the present calculated quantum defects with the experimental data, we reassign two Rydberg series: 1)4f13(2F7/2o)6s(7/2, 1/2)4onp3/2 Rydberg series from NIST is reassigned as 4f13(2F7/2o)6s(7/2, 1/2)4onf5/2, J=(5/2)+, 4f13(2F7/2o)6s(7/2, 1/2)4onf5/2, J=(7/2)+ and/or 4f13(2F7/2o)6s(7/2, 1/2)4onp1/2, J=(9/2)+ Rydberg series, and the difference between experimental and calculated quantum defects is generally better than 0.1; 2)4f13(2F7/2o)6s(7/2, 1/2)3onp3/2 Rydberg series from NIST is reassigned as 4f13(2F7/2o)6s(7/2, 1/2)3onf7/2, J=(5/2)+, 4f13(2F7/2o)6s(7/2, 1/2)3onf7/2, J=(7/2)+ and/or 4f13(2F7/2o)6s(7/2, 1/2)3onf5/2, 7/2, J=(9/2)+ Rydberg series, and the difference between experimental and calculated quantum defects is generally better than 0.05. As for the 4f13(2F7/2o)6s(7/2, 1/2)3onp1/2 Rydberg series from NIST, we find there is a perturbed state at about 49900 cm-1, and assign the perturbed state as 4f13(3F4)6 d5/26s2, J=7/2 and the total angular momentum for the Rydberg series is J=7/2.

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The study on high n Rydberg state of La II

Li¹,

Jia²,

Yu³

et al. 2019

Acta Phys. Sin.

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We analyze ionic spectrum of lanthanum via intermediate state (Xe)<inline-formula><tex-math id="M191">\begin{document}$ 5d6d \; ^3F_2 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M191.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M191.png"/></alternatives></inline-formula> in the energy region 89872-91783 cm–1, and the spectrum is obtained using five-laser resonance excitation in combination with a method of sequential ionization by a pulsed electric field and a constant electric field, and has been recalibrate in this work. Both of one strong and one weak autoionization Rydberg series converging to the La2+ state are determined. Meanwhile, the two autoionization Rydberg series are assigned by relativistic multichannel theory (RMCT) within the framework of multi-channel quantum defect theory (MQDT). More specifically, the strong autoionization Rydberg series is assigned to <inline-formula><tex-math id="M192">\begin{document}$ 5dnp\left(\dfrac{5}{2},\dfrac{1}{2}\right)_3 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M192.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M192.png"/></alternatives></inline-formula> and/or <inline-formula><tex-math id="M193">\begin{document}$ 5dnp\left(\dfrac{5}{2},\dfrac{1}{2}\right)_2 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M193.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M193.png"/></alternatives></inline-formula>, and the weak autoionization Rydberg series is assigned to <inline-formula><tex-math id="M194">\begin{document}$ 5dnf\left(\dfrac{5}{2},\dfrac{5}{2}\right)_3 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M194.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M194.png"/></alternatives></inline-formula> and/or <inline-formula><tex-math id="M195">\begin{document}$ 5dnf\left(\dfrac{5}{2},\dfrac{5}{2}\right)_2 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M195.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M195.png"/></alternatives></inline-formula>. We focus on the behavior of quantum defect with excitation energy for high <inline-formula><tex-math id="M196">\begin{document}$ n $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M196.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M196.png"/></alternatives></inline-formula> Rydberg states, which are sensitive to the existence of a external field. We find the breakdown of quantum defect regular behavior for a specific Rydberg series and autoionization Rydberg series of La+ as the effective quantum number <inline-formula><tex-math id="M197">\begin{document}$ n^\star>67 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M197.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M197.png"/></alternatives></inline-formula>. Due to that our calculations, which are obtained by relativistic multichannel theory and included configuration interactions, are in basically agreement with that for experimental low <inline-formula><tex-math id="M198">\begin{document}$ n $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M198.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M198.png"/></alternatives></inline-formula> (<inline-formula><tex-math id="M199">\begin{document}$ n^\star<67 $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M199.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20181980_M199.png"/></alternatives></inline-formula>) Rydberg states as well as small stray electric fields, we suggest that plasma formed by photoionization of La atoms in the second excitation step may be responsible for the breakdown of quantum defect regular behavior.

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Theoretical Analysis of Rydberg and Autoionizing State Spectra of Antimony

Cited by 3 publications

References 34 publications

Resonances close to the first ionization threshold of antimony

Resonances close to the first ionization threshold of antimony

Electron correlation effects in even Rydberg series converging to 4f13(2F7/2o)6s(7/2, 1/2)4o and 4f13(2F7/2o)6s(7/2, 1/2)3o of thulium atom

The study on high <i>n</i> Rydberg state of La II

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