Abstract
The energy eigenvalues of the channeled electrons through single wall carbon nanotubes (n,m) was calculated. According to the continuum model approximation given by Lindhard for the case of an axial channeling in single crystals, the actual periodic potential of a row of atoms is replaced by a potential averaged over a direction parallel to the row, called continuum potential. The calculations was executed by using the atomic interaction potential as given by Moliere potential. The maximum number of bound states and the energy eigenvalues is calculated for positrons of 100 MeV energy incident in a direction parallel to the nanotube axis, by using WKB method. The calculations showed that the effect of temperature by using Debye approximation of thermal vibration amplitude on the channeling potential is very small and gave the same eigenvalues and the same number of bound states as that for the static nanotubes.
Highlights
A great variety of physical processes can occur when an energetic beam of charged particles is incident upon a solid target
Special consideration is devoted to the channeling of positively charged particles in disordered lattices of cubic crystals including the characteristics of channeling radiation that emits spontaneously due to transitions between eigenstates of the channeled positrons [3] in addition to calculations of the transmission and dechanneling coefficients in disordered lattices, [4,5,6,7]
In this work we consider the channeling of 100 MeV electrons through single-wall carbon nanotubes (10, 10), (11, 9) and (18, 0)
Summary
A great variety of physical processes can occur when an energetic beam of charged particles is incident upon a solid target. All of these processes have cross sections, which depend on the impact parameters involved in collisions with individual target atoms. If the target material is monocrystalline, the distribution of the impact parameters and the yield of physical processes was found to be very strongly dependent on the relative orientation of the beam direction and the target. This effect is called the "channeling" effect. In this work we consider the channeling of 100 MeV electrons through single-wall carbon nanotubes (10, 10), (11, 9) and (18, 0)
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