On the possibility of considering the fullerene shell C60 as a conducting sphere

Amusia, M. Ya.; Baltenkov, A. S.

doi:10.1016/j.physleta.2006.08.056

Cited by 39 publications

(17 citation statements)

References 11 publications

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“…The impact can be expressed via the known dipole polarizability α of C 60 , similar to how it has been done in Ref. [15]. One can show that this is equivalent to making simple replacements…”

Section: Polarizable a And C 60 : Approximation Of "Coupled" Polarizamentioning

confidence: 92%

Effects of target polarization in electron elastic scattering off endohedralA@C60

2017

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We have developed an efficient approximation to describe the low-energy electron elastic scattering off an endohedral fullerene A@C N. It accounts for polarization of A@C N by incoming electrons without reference to complicated details of the electronic structure of C N itself. The developed approach has permitted us to unravel spectacular A@C N-polarization effects in low-energy e+A@C N elastic scattering, particularly the effects due to interelectron interaction between the electrons of both C N and A. We show that contribution of a single atom A remains unscreened by the multiatomic C N despite the projectile's wavelength is bigger than the size of the target. Inclusion of A and C N polarizability interference leads to violation of the previously predicted phase additivity rule. The partial scattering cross sections acquire prominent Ramsauer-type minima which, however, disappear in the total cross section. The study reveals notable trends in e + A@C N elastic scattering versus the polarizability of an encapsulated atom. We also predict the existence of certain negative ions A@C − N. We chose Ne, Xe and Ba as atoms A, and C 60 as the endohedral C N , as the case study. The work focuses on a reasonable compromise between the qualitative and quantitative aspects of the problem in general rather than on carrying out detailed calculations for one particular system

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Section: Polarizable a And C 60 : Approximation Of "Coupled" Polarizamentioning

confidence: 92%

Effects of target polarization in electron elastic scattering off endohedralA@C60

2017

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“…Speaking about Xe@C 60 , a surprising result of the study is that the impact of polarization of C 60 by the outgoing photoelectron (the α-polarization impact) on σ 4d , β 4d and τ 4d of Xe@C 60 is found to be relatively weak despite of a large value of C 60 's α = 850 a.u. [33]. Corresponding calculated data for Xe@C 60 , obtained both with and without account for V α (i.e., with and without account for α-polarization), do not differ significantly from each other; the corresponding confinement resonant oscillations are shifted by about 2 eV towards threshold (i.e., their phase is changed) when α-polarization of C 60 is taken into account in the calculation.…”

Section: Introductionmentioning

confidence: 80%

Polarization of the C$_{60}$ cage by the photoelectron, interior static polarization of C$_{60}$ by the ion-remainder and atomic-core relaxation in $A$@C$_{60}$ photoionization

Dolmatov

2018

Preprint

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Photoionization cross sections, σ nℓ , photoelectron angular-asymmetry parameters, β nℓ , and photoionization time delays, τ nℓ , for endohedral atoms, A@C60, are studied with account for both the individual and combined effects of dipole static polarization (DSP) of the C60 fullerene cage by the outgoing photoelectron, interior static polarization (ISP) of C60 by the ion-remainder, A + , and atomic-core relaxation of the encapsulated atom upon its ionization. It is unraveled by the direct calculations that the DSP effect is weak. It changes the phase of confinement-resonant oscillations in σ nℓ , β nℓ and τ nℓ without generally noticeable changes in their magnitudes, unless σ nℓ concentrates a relatively large part of oscillator strength of the continuum spectrum near threshold; then and there, the changes can be noticeable. This is counter-intuitive in view of a large dipole static polarizability of C60, α > 800 a.u.. Furthermore, it is demonstrated that the DSP effect results in the transmission of a part of oscillator strength of the continuum spectrum of A@C60 into its discrete spectrum. It is shown that the DSP effect is counteracted by ISP, thus getting partially cancelled out by the latter. Possible reasons behind the made findings are provided. Photoionization of Xe@C60, Ne@C60, H@C60 and some hypothetical C − 60 fullerene anions is chosen as a case study. For Xe@C60, the role of atomic-core relaxation of the ionized encapsuled Xe + -ion-remainder on the 4d photoionization of Xe@C60 is explored and detailed, and is revealed to be of utter significance, as in the known case of free Xe. The study is performed in the frameworks of both the random phase approximation with exchange (RPAE) and generalized RPAE (GRPAE), when needed. The C60 cage is modelled by a spherical attractive potential of a certain inner radius, thickness and depth. Its dipole static polarization potential is approximated by the Bates dipole static potential.

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“…Here, α is the static dipole polarizability of C 60 (α ≈ 850 a.u. [44]), and b is a free parameter of the order of the fullerene size. Such accounting for polarization of C 60 by the outgoing photoelectron has recently been proven to result in a reasonable agreement between calculated angle-differential elastic electron scattering off C 60 [28,29] and experiment [30], as well as between the calculated [18] photoionization cross section of Xe@C 60 and experiment [20].…”

Section: Modeling Fullerene Anion Photodetachmentmentioning

confidence: 99%

Spin-Polarized Photoelectron Fluxes from Fullerene Anions

Dolmatov

2020

Atoms

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Initial insights into spin-polarized photoelectron fluxes from fullerene anions are presented here. Both the angle-dependent and angle-integrated degrees of spin polarization of said photoelectron fluxes are discussed. Empty C60−(2p) and endohedral H@C60−(2p) and He@C60−(2p) anions, where the attached electron resides in a 2p state, are chosen as case studies. We uncover the characteristics of the phenomenon in the framework of a semi-empirical methodology where the C60 cage is modeled by a spherical annular potential, rather than aiming at a rigorous study. It is found that the spin-polarization degree of photoelectron fluxes from fullerene anions can reach large values, including a nearly complete polarization, at/in specific values/domains of the photoelectron momentum. This is shown to correlate with an inherent feature of photoionization of fullerenes, the abundance of resonances, known as confinement resonances, in their photodetachment spectra owing to a large empty space inside fullerenes. Moreover, the results obtained can serve as a touchstone for future studies of the phenomenon by more rigorous theories and/or experiments to reveal the significance of interactions omitted in the present study.

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On the possibility of considering the fullerene shell C60 as a conducting sphere

Cited by 39 publications

References 11 publications

Effects of target polarization in electron elastic scattering off endohedralA@C60

Effects of target polarization in electron elastic scattering off endohedralA@C60

Polarization of the C$_{60}$ cage by the photoelectron, interior static polarization of C$_{60}$ by the ion-remainder and atomic-core relaxation in $A$@C$_{60}$ photoionization

Spin-Polarized Photoelectron Fluxes from Fullerene Anions

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