Interference Decrease of Elastic Scattering of Fast Charged Particles in Single Crystals

Kalashnikov, N. P.; Koptelov, É. A.; Riazanov, M. I.

doi:10.1007/978-1-4615-8996-9_44

Cited by 6 publications

(11 citation statements)

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“…For certainty, we will consider a semi-infinite target model. Then decomposition of the function by multiple inelastic losses implementing the method of partial intensities [16,18] has the form: (4) where the function D(Δ) is determined by the device function of the energy analyzer and Doppler broadening and s 0 (Δ) is the energy spectrum of the probe electron beam in elastic peak electron (EPES) [19] and electron-energy-loss spectroscopies or the energy spectrum of "newborn" photoelectrons in X-ray photoelectron and Auger electron spectroscopies [1,20].…”

Section: Methods Based On Inverse Convolution Of the Experimental Spementioning

confidence: 99%

“…Complicating the problem is the need to consider the target surface as a layered inhomogeneous object with different laws of energy loss [2] in the surface layers ω inS (Δ) and in the target homogeneous layer ω inB (Δ) distant from the surface, where Δ = E 0 -E is the energy loss of an electron with the initial energy E 0 . Existing cross-section reconstruction methods [3] do not allow us to determine the true values of ω in (Δ), namely the values that appear in the electron-transport equation [4]. The created and widely used methods in [3,5,6] determine certain values, which are called DIIMFP (Differential Inverse Inelastic Mean Free Path) for a target homogeneous layer removed from the surface, as well as DSEP (Differential Surface Excitation Probability) for surface layers.…”

Section: Introductionmentioning

confidence: 99%

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Quantitative Interpretation of Electron Spectroscopy Signals. Extracting the Differential Inverse Inelastic Mean Free Path and Differential Surface Excitation Probability in Solids

Афанасьев

Bodisko

Gryazev

et al. 2020

J. Synch. Investig.

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A method for extracting the differential inelastic scattering cross sections of electrons x in (Δ) from the energy spectra of electron spectroscopy is developed. The derived cross sections are verified by interpreting experimental data on electron-energy-loss spectra, X-ray photoelectron spectroscopy, and Auger spectroscopy. The paper highlights existing methods for determining the cross sections x in (Δ) using electronenergy-loss spectra. Inconsistency in analytical solution of the inverse problem (i.e., deconvolution) is shown for calculating the inelastic scattering cross section of electrons x in (Δ). In this paper, the solution of the mathematically ill-posed problem of cross-section retrieval is based on a fitting procedure consisting in multiple direct-problem calculations, i.e., calculations of the electron spectra taking into account both elastic and inelastic multiple scattering events. To implement an efficient fitting algorithm, a high-performance procedure for solving the direct problem of determining the energy spectra of electron spectroscopy is developed. The method for calculating the spectra is based on solution of the boundary problem for the transport equation by using the invariant imbedding method. The procedure developed in this work allows the energy-loss cross sections in the surface layer and in the sample homogeneous bulk layer remote from the surface to be reconstructed. The cross sections x in (Δ) retrieved from experimental data on the electron-energy-loss spectra satisfactorily reproduce the Auger spectroscopy and X-ray photoelectron spectroscopy signals and vice versa: the cross sections x in (Δ) retrieved from the X-ray photoelectron spectroscopy data satisfactorily reproduce the electron-energy loss and Auger spectroscopy spectra. It is shown that for the description of the X-ray photoelectron spectroscopy spectra of Be, Mg, Al, Nb, and W, it is not necessary to use additional mechanisms of energy losses, so-called "intrinsic excitations".

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Section: Methods Based On Inverse Convolution Of the Experimental Spementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantitative Interpretation of Electron Spectroscopy Signals. Extracting the Differential Inverse Inelastic Mean Free Path and Differential Surface Excitation Probability in Solids

Афанасьев

Bodisko

Gryazev

et al. 2020

J. Synch. Investig.

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“…initial state may also be channeling, but not necessarily. Radiation in channeling mode was thoroughly studied by plenty of authors (see for example review in [2]). Hereafter we will not consider this well-studied type of radiation.…”

Section: Transversal Energy Of Electron After Emission Of Photonmentioning

confidence: 99%

“…Interaction of relativistic electrons with crystals is usually described in channeling model as a motion in certain averaged homogeneous potential of a crystal axis or plane (see for example [1,2]). However real crystal axis or plane consists of positioned periodically atoms.…”

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confidence: 99%

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Relativistic electron energy conversion in one photon in crystals

Kalashnikov¹,

Olchak²

2020

J. Inst.

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Interaction of relativistic electrons with crystal axis is traditionally described in terms of channeling model -i.e. as a motion in some homogeneous averaged axial potential. However, real crystals are made of atoms, positioned periodically. Interaction of electrons with periodical potential must be accompanied with transitions of discrete portions of momentum ∆p = 2πn /d, n = 1, 2, 3, . . . , defined by the potential period d. Transmission of sufficient portion of longitudinal momentum to the lattice may be accompanied by the emission of photon with correspondingly high energy. In case of relativistic electrons with energies E 1 ∼ GeV or more, nearly all the electron's energy may be converted into just one photon.

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Hydrogen pellet ablation and acceleration by current in high temperature plasmas

Kuteev

1995

Nucl. Fusion

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Hydrogen pellet ablation and acceleration by current in high temperature plasmas are analysed. The present state of ablation theory and experiment is discussed and an ablation model is formulated. This model takes into account the energy distribution of the particles (both electrons and ions)participating in the ablation process, electrostatic effects of the cloud charging and changes of the pellet form during ablation. Without charging the pellet form tends to a shape resembling a lentil while it remains almost spherical if charged. A new algorithm for ablation rate calculations that can be used for an arbitrary initial form of the pellet is described. The results of this kinetic two dimensional approach differ from those of the Parks ablation scaling used in the ITER design by not more than 30%. Plasma shielding effects are not significant in the ablation if strong turbulence in the cloud is taken into account. Acceleration analysis is based on the Braginskii corrected electron distribution function. For the lentil mode of ablation, acceleration is higher than those for the charged mode by a factor of 1.76. The ablation models are compared with the experiments on T-10, JET, TFTR, Heliotron-E and Tore Supra. A sensitivity analysis shows that pellet size and electron temperature are the most significant factors for determination of the penetration length. The available database of penetration lengths is not sufficient for distinguishing between the models. Acceleration for the charged mode correlates with experimental data better than that for the lentil mode. The effect of the hot ions is seen on the ablation. Finally, ablation at reactor relevant plasma and pellet parameters is considered. This range of the plasma parameters needs a correction of the ablation scaling as follows: dN/dt approximately ne0.453Te1.72rp1.443Mi-0.283 where ne and Te are the electron density and temperature, respectively, and rp and Mi are the pellet radius and at

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Interference Decrease of Elastic Scattering of Fast Charged Particles in Single Crystals

Cited by 6 publications

References 4 publications

Quantitative Interpretation of Electron Spectroscopy Signals. Extracting the Differential Inverse Inelastic Mean Free Path and Differential Surface Excitation Probability in Solids

Quantitative Interpretation of Electron Spectroscopy Signals. Extracting the Differential Inverse Inelastic Mean Free Path and Differential Surface Excitation Probability in Solids

Relativistic electron energy conversion in one photon in crystals

Hydrogen pellet ablation and acceleration by current in high temperature plasmas

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