Angular distributions of 1GeV protons channeled in bent short single-wall carbon nanotubes

Proton channeling through long chiral carbon nanotubes: The rainbow route to equilibration

“…They showed that the rainbow patterns provide the full explanation of the angular distributions of channeled protons. Recently, in a study of channeling of 0.233 MeV protons through the (11,9) single-wall carbon nanotubes, Borka et al demonstrated that the image force acting on the protons gave rise to the additional rainbows in their angular distributions [12]. * Corresponding author.…”

“…1 shows the average proton-nanotube interaction potential with the effect of thermal vibrations of the nanotube atoms included in an (11,9) single-wall carbon nanotube as a function of the radial transverse component of the proton position, which is varied between −(R − a) and R − a. The nanotube atoms bond length is 0.14 nm and, hence, the nanotube radius is (11,9) single-wall carbon nanotube as a function of the radial transverse component of the proton position. R is the nanotube radius and a the nanotube atom screening radius.…”

“…Fig. 4(d) also gives five such pairs of extrema, designated by [11][12][13][14][15], that correspond to the five maxima shown in Fig. 2(d).…”

Angular distributions of high energy protons channeled in long (10,10) single-wall carbon nanotubes

“…it is a consequence of a correlated series of collisions of ion with the atoms in the atomic strings. We employ the continuum approximation [22], and use Molière's expression for the proton-nanotube atom interaction potential [18][19][20][21],…”

“…Petrović et al [18,19] and Nešković et al [20] have demonstrated that the rainbow effect enables the full explanation of the angular distributions of 1 GeV protons transmitted through the short straight and bent bundles of (10, 10) SWCNTs. Recently, Petrović et al [21] investigated channeling of 1 GeV protons in long (11,9) SWCNTs.…”