Rainbow effect in axial ion channeling

Krause, H. F.; Datz, S.; Dittner, P.F.; Campo, J. Gómez del; Miller, P. D.; Moak, C. D.; N, Nekovic; Pepmiller, P.L.

doi:10.1103/physrevb.33.6036

Cited by 79 publications

(28 citation statements)

References 11 publications

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“…The rainbow effect occurs and plays an important role in photon scattering from water droplets [8,9], nucleusnucleus collisions [10,11,12], atom or ion collisions with atoms or molecules [13], electron-molecule collisions [14], atom or electron scattering from crystal surfaces [15,16], and ion channeling in crystals [17,18]. Moreover, the rainbow effect has been investigated recently in the context of grazing scattering of atoms from metal surfaces under channeling conditions by Schüller et al [19] who showed that precise measurements of the well-defined maxima in the angular distributions of scattered atoms, attributed to the rainbow effect, can give detailed information on the interaction potential of the atoms with the metal surfaces.…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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

et al. 2008

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“…The crystal rainbow effect was first observed experimentally by Krause et al [19], using protons of an energy of 7 MeV transmitted through (0 0 1) and (0 1 1) silicon crystals that were 140 and 198 nm thick, respectively. The corresponding values of the reduced crystal thickness, defined as K = f k L/v 0 , where L is the crystal thickness, v 0 the initial ion velocity, and f k the frequency of ion motion close to the channel axis, were 0.23 and 0.24, respectively.…”

Section: Measurements Of Crystal Rainbowsmentioning

confidence: 96%

Proton–silicon interaction potential extracted from high-resolution measurements of crystal rainbows

Petrović

Nešković

Ćosić

et al. 2015

Nuclear Instruments and Methods in Physics Research Section B:

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“…The crystal rainbow effect was observed experimentally by Krause et al (1986Krause et al ( , 1994. In the former measurement, the projectiles were 7 MeV protons, and they were transmitted through the axial channels of either a 140-nm-thick <100> or a 198-nm-thick <110> silicon crystal.…”

Section: Crystal Rainbowsmentioning

confidence: 98%

“…In section 2 of this chapter, we describe briefly the crystal rainbow effect, which has proven to be the basic effect of ion channeling in thin crystals (Ne skovi c 1986; Krause et al 1986). Section 3 of the paper is devoted to the ways the electrostatic field was calculated in the works of Ne skovi c et al …”

Section: Introductionmentioning

confidence: 98%