Abstract

Properties of atoms and molecules undergo significant changes when subjected to spatial confinement. We study the excitation spectra of lithium-like atoms in the initial 1s22s electronic configuration when confined by an impenetrable spherical cavity. We implement Slater’s X-α method in Hartree–Fock theory to obtain the excitation spectrum. We verify that as the cavity size decreases, the total, 2s, 2p, and higher excited energy levels increase. Furthermore, we confirm the existence of crossing points between ns–np states for low values of the confinement radius such that the ns → np dipole transition becomes zero at that critical pressure. The crossing points of the s–p states imply that instead of photon absorption, one observes photon emission for cavities with radius smaller than the critical radius. Hence, the dipole oscillator strength associated with the 2s → 2p transition becomes negative, and for higher pressures, the 2s → 3p dipole oscillator strength transition becomes larger than unity. We validate the completeness of the spectrum by calculating the Thomas–Reiche–Kuhn sum rule, as well as the static dipole polarizability and mean excitation energy of lithium-like atoms. We find that the static dipole polarizability decreases and exhibits a sudden change at the critical pressure for the absorption-to-emission transition. The mean excitation energy increases as the pressure rises. However, as a consequence of the critical transition from absorption to emission, the mean excitation energy becomes undetermined for higher pressures, with implications for material damage under extreme conditions. For unconfined systems, our results show good to excellent agreement with data found in the literature.

Highlights

  • Confined quantum systems exhibit significant changes to their structure, stability, reactivity, binding interactions, dynamics, and spectra as a consequence of modifications to the spatial boundary conditions in the presence of an extreme environment

  • For a cavity radius lower than the critical crossing point, f22ss2p becomes negative owing to photon emission, and some other transitions must increase its dipole oscillator strength (DOS)

  • We have studied lithium-like atoms confined by an impenetrable spherical cavity of radius R0

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Summary

Introduction

Confined quantum systems exhibit significant changes to their structure, stability, reactivity, binding interactions, dynamics, and spectra as a consequence of modifications to the spatial boundary conditions in the presence of an extreme environment. The main objective when studying confined quantum systems is to construct an accurate theoretical model that takes into account changes in the electronic wavefunction and energy levels due to the boundary conditions imposed by the surrounding environment. Lin and Ho12 used a pseudopotential for the lithium atom to simulate the core interaction with the single valence electron with optimized parameters They calculated the photoionization cross section of the 2s shell electron under confinement by a power exponential potential due to an endohedral cavity and found that multiple Cooper resonances emerged.. Slater proposed a simplified approach to treat the electron exchange operator in the HF method by replacing it by a term proportional to the charge density of the inner electrons This approach has been fruitful in treating problems in atomic and molecular structure with satisfactory results, in the development of DFT theory. To the authors’ knowledge, there have not been any studies of the effects of confinement on the excitation spectra of a multi-electron system in the context of HF theory by means of Slater’s X-α approach

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