Channeling of Protons through Radial Deformed Double Wall Carbon Nanotubes

Abstract

In this study we presented a theoretical investigation of the channeling of high energy protons with the radial deformed (10, 0)@(5, 0) double-wall carbon nanotubes (DWNTs). Proton energy is varied from 0.1 to 10 GeV. The channeling potential within the deformed DWNTs is presented. A Monte Carlo (MC) simulation is used to obtain spatial and angular distributions of channeled protons with radially deformed DWNTs. We treated problem relativistically. This is the first time that we presented spatial and angular distributions of channeled protons with radially deformed DWNTs. Our results show that the spatial and angular distributions depend strongly of nanotube lengths, proton energy, and especially of level of radial deformation of nanotube. Multi-wall nanotubes (MWNTs) can be technically realised with better channeling performance then single-wall nanotubes (SWNTs) and that is why we believe that these results may be useful for production and guiding of nanosized ion beams.

Morphological Analysis of the Rainbow Patterns Created by Point Defects of Graphene

“…The rainbow effect accompanies scattering of light, atom and ion collisions, scattering of nuclei, and scattering of ions from the surfaces . Rainbow scattering also happens during the transmission of ions through thin crystals and nanotubes in the channeling mode , and transmission of protons through graphene…”

Van der Waals Interactions of Moving Particles with Surfaces of Cylindrical Geometry

“…where ω − = ω − kV. The induced Fourier-component u in n (ωk; r) in this case is calculated by subsituting (27) and the induced components of G n (r, r ) from (A2), (A4), (A6), (A7) into (8). The resulting expressions are as follows.…”

“…If not specified, the summation by n in ( 25)- (27) and in what follows is carried out from −∞ to +∞.…”

“…More general calculations of the conservative and dissipative vdW forces acting on particles moving parallel to the generatrix of a cylindrical surface were carried out in [9,10]. In addition to the general theoretical importance associated with nonequilibrium vdW forces in the systems with cylindrical symmetry, studying the electromagnetic and fluctuation-electromagnetic interactions of moving charged and neutral atomic particles with cylindrical surfaces has been given a great impetus since the discovery of carbon nanotubes in 1991 [11], when a lot of theoretical teams started to work on the theoretical modelling and computer simulation of ion channeling through carbon nanotubes and capillary structures [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. However, the role of the image forces for charged particles and vdW forces for neutral ones is underestimated due to an insufficient knowledge of the role of surface curvature at distances exceeding atomic dimensions.…”