• Matter and Radiation at Extremes
  • Vol. 5, Issue 2, 24401 (2020)
C. Martínez-Flores1 and R. Cabrera-Trujillo2、*
Author Affiliations
  • 1Departamento de Química, Universidad Autónoma Metropolitana Iztapalapa, San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, C.P. 09340 México D.F., Mexico
  • 2Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Ap. Postal 43-8, Cuernavaca, Morelos, 62251, Mexico
  • show less
    DOI: 10.1063/1.5139099 Cite this Article
    C. Martínez-Flores, R. Cabrera-Trujillo. High pressure effects on the excitation spectra and dipole properties of Li, Be+, and B2+ atoms under confinement[J]. Matter and Radiation at Extremes, 2020, 5(2): 24401 Copy Citation Text show less

    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 nsnp states for low values of the confinement radius such that the nsnp dipole transition becomes zero at that critical pressure. The crossing points of the sp 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.
    (ĥ1+Ĵ1)ψ1r=ϵ1ψ1r,(1)

    View in Article

    (ĥ2+2Ĵ1K^1)ψ2(r)=ϵ2ψ2(r),(2)

    View in Article

    ĥj(r)=12j2Zr+Vc(r),(3)

    View in Article

    Ĵj(r)ψi(r)=dr2ψj(r2)ψj(r2)r12ψi(r),(4)

    View in Article

    K^j(r)ψi(r)=dr2ψj(r2)ψi(r2)r12ψj(r),(5)

    View in Article

    EHF=2ĥ11+ĥ22+Ĵ11+2Ĵ12K^12.(6)

    View in Article

    K^1(r)ψ2(r)=αXρ11/3(r)ψ2(r),(7)

    View in Article

    ρ1(r)=2|ψ1(r)|2,(8)

    View in Article

    αX=ψ2(r)|K^1(r)|ψ2(r)ψ2(r)|ρ11/3(r)|ψ2(r),(9)

    View in Article

    Vc(r)=0,r<R0,,rR0.(10)

    View in Article

    Hϕ=Eϕ,(11)

    View in Article

    fn0=2(EHFnEHF0)|Ψn(r)|i=1Nriϵ^|Ψ0(r)|2,(12)

    View in Article

    fn0i=23(ϵniϵ0i)Rni(r)|r|R0i(r)2,(13)

    View in Article

    αs=nfn0(EHFnEHF0)2=i,nfn0i(ϵniϵ0i)2,(14)

    View in Article

    αs=2αs1s+αs2s,(15)

    View in Article

    lnI0=nfn0ln(EHFnEHF0)nfn0=i,nfn0iln(ϵniϵ0i)i,nfn0i.(16)

    View in Article

    3lnI0=2nfn01sln(ϵn1sϵ01s)+nfn02sln(ϵn2sϵ02s)=2lnI01s+lnI02s,(17)

    View in Article

    P=EHFv=14πR02EHFR0,(18)

    View in Article

    C. Martínez-Flores, R. Cabrera-Trujillo. High pressure effects on the excitation spectra and dipole properties of Li, Be+, and B2+ atoms under confinement[J]. Matter and Radiation at Extremes, 2020, 5(2): 24401
    Download Citation