Channeling and quasi-characteristic radiation of charged particles in charged axes of CsCl-type ionic crystals

The paper deals with the calculation of electron interaction potentials with the main charged [110] axes in a lithium hydride crystal at T = 300, 600, and 900 K temperatures. For relativistic electrons with Lorentz factors γ = 50, 75, 100 the energy and corresponding wave functions of transverse levels of channeling motion are found numerically. The radiation spectra of channeling electrons with (and without) accounting an angular dispersion are calculated on the basis of these data.

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“…This formula was obtained in the dipole approximation on the basis of [10] by analogy with the corresponding expressions in [8,12]. Here…”

Section: Calculation Of Cr Spectramentioning

confidence: 99%

Peculiarities of Channeling and Generated Radiation of Relativistic Electrons in the Main Charged Axes of Lithium Hydride Crystal

Maksyuta¹,

Высоцкий²,

Efimenko³

et al. 2021

Problems of Atomic Science and Technology

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“…At the calculation of planar interaction potentials in the crystals with a zinc blende structure, oneparticle potentials for positively and negatively charged ions can be written using the following Moliere approximation: φ ± (r) = {[Z ± − (±α)] e/r } 3 j=1 α j exp −β j r/b ± ± αe/r, where α j and β j we get, for example, from [4], b ± = 0, 8853Z −1/3 ± a 0 -Tomas-Fermi radii, correspondingly, for positively and negatively charged ions, a 0 -Bohr radius, Z ± -atomic numbers of their nuclei, αthe crystal ionicity degree [5]. Further we execute standard procedures of averaging by planes and by thermal oscillations [4] (here the contribution from long-range Coulomb potentials is taken into account on the basis of the technique described in [3,6]). As a result, we find electrons interaction potentials with main charged (100) and (111) planes presented in figure 1a in a conditional cubic cell (see, for example, [7]) by blue and green colors, correspondingly.…”

Section: The Investigation Of Electrons Interaction Potentials In The...mentioning

confidence: 99%

“…For the electrons with Lorentz-factors γ = 25, 50, 75 the transverse energy levels and corresponding wave functions in main isolated charged (100) and (111) planes were calculated numerically for all the investigated crystals with a zinc blende-type structure as a result of solving the Sturm-Liouville problem − (p (ξ) ψ (ξ)) + q (ξ) ψ (ξ) = λr (ξ) ψ (ξ), which reduces to the Schrödinger equation −ψ (ξ) + ζU (ξ) ψ (ξ) = ζE ψ (ξ) at p (ξ) = 1, q (ξ) = ζU (ξ), r (ξ) = ζ and λ = E, where ζ = 8πµγd 2 /h 2 . The similar numerical calculation was carried out in [6] in the case of single-string approximation.…”

Section: Jinst 13 C04010 3 the Numerical Calculation Of A Transverse ...mentioning

confidence: 99%

Investigation of channeling and radiation of relativistic electrons in charged planes of the crystals with zinc blende structure

Maksyuta¹,

Высоцкий²,

Efimenko³

et al. 2018

J. Inst.

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In this paper the interaction potentials of relativistic electrons with the charged (2m+1, 2n+1, 2p+1) and (2m+1, 2n, 2p) planes (m, n, p=0,1,ṡ, and Miller indices are mutually prime numbers) in the crystals with a zinc blende structure are calculated using Moliere approximation. It is shown that at the change of the type of used crystal plane (from the main (100) to the high-index charged planes), the structures of potential wells are transformed from non-unimodal to unimodal ones. In this case for the crystals constructed from ions with close nucleus charges, there arise so-called positron-like potential wells for the channeled electrons, i.e. with minima in the interplanar space. The influence of temperature factor on interaction potentials structures is also investigated. For the electrons with Lorentz-factors γ = 25, 50, 75 in the main (100) and (111) planes the transverse energy levels and corresponding wave functions in single planar approximation are found numerically. By means of these data the spectra of channeling radiation (CR) in dipole approximation are calculated for the electrons beams with a Lorentz-factor γ = 50 and an angular dispersion θ 0 ≈ 0,5 mrad, arising in the main charged (100) and (111) planes in ZnS, ZnSe and ZnTe crystals. It is shown that the CR generated at electron channeling along the (111) planes is more intense. It is shown also that spectra of CR arising in (111) planes of silicon and AlP crystals at using of channeled electron beam with γ = 25 and an angular dispersion θ 0 ≈ 0,5 mrad, due to similarity of structures of potential wells are identical. The spectra of CR at γ = 25, 50, 75 are calculated for a number of crystals with a zinc blende structure, namely AlP, AlAs, AlSb, GaP, GaAs, InP, InAs, InSb.

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“…Quantum mechanical calculation of spectral distributionsUsing formulas (3.2)-(3.4) from paragraph 3.1, and based on a technique repeatedly tested in the works of the authors (see, for example,[11][12][13][14]), this study performed the calculation of spontaneous radiation spectra during the channeling of positrons with a Lorentz-factor γ = 10 4 in non-chiral CNTs of types (8, 0), (10, 0),(12, 0). The obtained results are presented in figure3a.…”

mentioning

confidence: 99%

Calculation of spontaneous radiation during channeling of relativistic positrons in non-chiral nanotubes using a quadratic approximation

Maksyuta,

Vysotskii,

Maksyuta

et al. 2024

J. Inst.

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The work investigates the conditions for the possibility of using the quadratic approximation U(ρ) = αρ2 for the interaction potentials of channeled positrons with the inner walls of non-chiral carbon nanotubes of types (n, 0) and (n, n). In particular, (8, 0), (10, 0), (12, 0) and (8, 8), (10, 10), (12, 12) nanotubes were selected. In this case, when calculating the single-particle potential of the carbon atom, only the contribution of valence electrons was taken into account. As a result of this approximation, the parameters α were determined for all the nanotubes studied. Using wave functions and the corresponding quantum levels of transverse energy obtained by solving the Schrödinger equation, the probabilities of occupation of these levels were calculated for positron beams with zero angular dispersion moving along the axes of nanotubes. Based on this information, values of the longitudinal energy of positrons for which the quadratic approximation is applicable were determined for all the studied nanotubes. Spectral distributions of spontaneous radiation were calculated in the dipole approximation for non-dispersive relativistic positron beams, both within the framework of quantum-mechanical and classical approaches.

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Channeling and quasi-characteristic radiation of charged particles in charged axes of CsCl-type ionic crystals

Cited by 9 publications

References 6 publications

Peculiarities of Channeling and Generated Radiation of Relativistic Electrons in the Main Charged Axes of Lithium Hydride Crystal

Peculiarities of Channeling and Generated Radiation of Relativistic Electrons in the Main Charged Axes of Lithium Hydride Crystal

Investigation of channeling and radiation of relativistic electrons in charged planes of the crystals with zinc blende structure

Calculation of spontaneous radiation during channeling of relativistic positrons in non-chiral nanotubes using a quadratic approximation

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