Influence of the dynamical image potential on the rainbows in ion channeling through short carbon nanotubes

Borka, D.; Petrović, S.; Nešković, N.; Mowbray, D. J.; Mišković, Z. L.

doi:10.1103/physreva.73.062902

Cited by 56 publications

(65 citation statements)

References 36 publications

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“…Going further beyond our previous study [6], we have analyzed here the zero-degree focusing (ZDF) effect and found quite substantial differences between the cases of nanotubes in vacuum and in dielectric media when it comes to the periods of peaks in the proton yield as a function of dwell time through the nanotube. These effects have been further analyzed by studying typical proton trajectories which revealed strong effects of dielectric media.…”

Section: Discussionmentioning

confidence: 77%

“…As discussed in Ref. 6, the rainbows labeled by 1 belong to the first class (rainbow trajectories which have experienced one deflection within the imagegenerated potential well), while the rainbows labeled by 2 ′ and 2 ′′ belong to the second class (rainbow trajectories which have experienced two deflections within the potential well). However, no new rainbow peaks appear in the solid curves shown in Fig.…”

Section: Resultsmentioning

confidence: 91%

“…[6]. In the presence of dielectric media, this range of the image interaction effects is expanded to higher proton speeds because then the SWNTs become "transparent" to the polarization effects of the surrounding material.…”

Section: Discussionmentioning

confidence: 99%

“…It has been demonstrated that the proton channeling in nanotubes can be analyzed successfully via the corresponding mapping of the impact parameter plane, the x 0 y 0 plane, to the scattering angle plane, the Θ x Θ y plane. However, as the total interaction potential in the case under consideration is axially symmetric and the incident protons are moving parallel to the nanotube axis, the analysis of the mapping may be reduced to the analysis of the scattering angle, Θ = (Θ The extrema of this function are the rainbow extrema, and the corresponding singularities appearing in the angular distribution of channeled protons are the rainbow singularities [6].…”

Section: Theorymentioning

confidence: 99%

“…However, ions moving with medium (MeV) energies will induce strong dynamic polarization of valence electrons in the nanotubes which in turn will give rise to a sizeable image force on the ions, as well as a considerable energy loss due to the collective, or plasma, electron excitations. The dynamic image force has been recently shown to give rise to the rainbow effect in the angular distributions of protons channeled through short (11,9) single-wall [6] and double-wall carbon nanotubes [7] in free space, which is not otherwise observable in simulations of ion channeling through chiral carbon nanotubes using the continuum approximation for the interaction potential [1]. Obviously, the presence of dielectric media may affect these dynamic polarization forces, as well as the resulting ion trajectories, making the analysis of such effects in ion channeling through carbon nanotubes a timely task, which we take up in this contribution.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic polarization effects on the angular distributions of protons channeled through carbon nanotubes in dielectric media

et al. 2008

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The best level of ordering and straightening of carbon nanotube arrays is often achieved when they are grown in a dielectric matrix, so such structures present the most suitable candidates for future channeling experiments with carbon nanotubes. Consequently, we investigate here how the dynamic polarization of carbon valence electrons in the presence of various surrounding dielectric media affects the angular distributions of protons channeled through (11, 9) single-wall carbon nanotubes. Proton speeds between 3 and 10 a.u., corresponding to energies of 0.223 and 2.49 MeV, are chosen with the nanotube's length varied between 0.1 and 1 µm. We describe the repulsive interaction between a proton and the nanotube's atoms in a continuum-potential approximation based on the Doyle-Turner potential, whereas the attractive image force on a proton is calculated using a twodimensional hydrodynamic model for the dynamic response of the nanotube valence electrons, while assigning to the surrounding medium an appropriate (frequency dependent) dielectric function. The angular distributions of channeled protons are generated using a computer simulation method which solves the proton equations of motion in the transverse plane numerically. Our analysis shows that the presence of a dielectric medium can strongly affect both the appearance and positions of maxima in the angular distributions of channeled protons.

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Section: Discussionmentioning

confidence: 77%

Section: Resultsmentioning

confidence: 91%

Section: Discussionmentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%