Channeling potential in single-walled carbon nanotubes: The effect of radial deformation

Computational Study on Characteristic Radiation Originated from Channeled Relativistic Electrons in Single-Wall Carbon Nanotubes

“…The maximum of the number of bound states n max calculated by using WKB approximation method as calculated from Eq. (5) at different values of electron energy (10,15,20,25,50,100,200,and500MeV) The calculations show that the estimation of the maximum number of bound states of the channeled electron for both armchair chiral, and zigzag nanotube at low incident energy are found to be n max approximately equal. While at high incident energy are found to be n max for armchair type n max (10,10) > n max (8,8) > n max (5,5),also n max for Chiral n max (15,6) > n max (16,4) > n max (11,9) n max (11,5) > n max (8,2) ,and n max for zigzag n max (18,0) > n max (10,0) > n max (8,0) n max (6,0) these results shows that the maximum number of bound states of the channeled electron for both armchair chiral, and zigzag nanotube at high incident energy are increase with increasing of single wall carbon nanotubes radii and ,the relation between the maximum number of bound states, n max of the channeled electrons as a function of the nanotube radius at different incident energies (50, 100, and 500) MeV are shown in Figs.…”

“…In this work [9], the calculations of potential are executed by using the atomic interaction potential as is given by Moliere potential as [10]: is the Bohr radius, z 1 and z 2 are the charge numbers of projectile and target atoms, respectively, e is the elementary charge and r is the separation between them.…”

“…Calculation of the energy eigenvalues, and the maximum number of bound states, from ref. [10], and using the WKB method [3], the energy eigenvalues and the maximum number of bound states respectively were gotten as: The energy eigenvalues of relativistic electrons channeled through single-wall carbon nanotubes could be used in the calculations of the energy of the emitted channeling radiation. The emitted photon energy in the forward direction is given by [7]:…”

“…The first theoretical study of particle channeling in CNTs appeared in the work of Klimov and Letokhov [8], have suggested relativistic positrons and electrons can emit, respectively monochromatic hard X-rays and gammarays when channeled in CNTs. In the work of Dedkov [9] gave qualitative arguments showing that CNTs should provide more favorable conditions for ion channeling than single crystals [10].…”

Channeling of Protons through Radial Deformed Double Wall Carbon Nanotubes

“…Radial deformation of carbon nanotubes can influence on the mechanical and electronic properties [32][33][34][35], and presence of defects and deformations might have large influence of nanotube's channeling properties. The channeling potential in deformed SWNTs has been investigated by Abu-Assy and Saliman [36].…”