Kramers electrodynamics and electron-atomic radiative-collisional processes

Kogan, Vladimir; Kukushkin, A. B.; Lisitsa, V. S.

doi:10.1016/0370-1573(92)90161-r

Cited by 58 publications

(26 citation statements)

References 42 publications

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“…The latter is based on the applicability of classical approximation to the Thomas-Fermi (TF) statistical potential. This was demonstrated in calculations of bremsstrahlung spectra [16] on multielectrons systems, which are in excellent agreement with quantum calculations of corresponding effects. The application of the Fermi method of equivalent photons [17] allows the consideration of the excitation processes in atoms as photoabsorption of the equivalent photon flux.…”

Section: Introductionsupporting

confidence: 60%

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Tungsten Ions in Plasmas: Statistical Theory of Radiative-Collisional Processes

Demura

Kadomtsev

Lisitsa

et al. 2015

Atoms

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Abstract:The statistical model for calculations of the collisional-radiative processes in plasmas with tungsten impurity was developed. The electron structure of tungsten multielectron ions is considered in terms of both the Thomas-Fermi model and the Brandt-Lundquist model of collective oscillations of atomic electron density. The excitation or ionization of atomic electrons by plasma electron impacts are represented as photo-processes under the action of flux of equivalent photons introduced by E. Fermi. The total electron impact single ionization cross-sections of ions W k+ with respective rates have been calculated and compared with the available experimental and modeling data (e.g., CADW). Plasma radiative losses on tungsten impurity were also calculated in a wide range of electron temperatures 1 eV-20 keV. The numerical code TFATOM was developed for calculations of radiative-collisional processes involving tungsten ions. The needed computational resources for TFATOM code are orders of magnitudes less than for the other conventional numerical codes. The transition from corona to Boltzmann limit was investigated in detail. The results of statistical approach have been tested by comparison with the vast experimental and conventional code data for a set of ions W k+ . It is shown that the universal statistical model accuracy for the ionization cross-sections and radiation OPEN ACCESSAtoms 2015, 3 163 losses is within the data scattering of significantly more complex quantum numerical codes, using different approximations for the calculation of atomic structure and the electronic cross-sections.

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Section: Introductionsupporting

confidence: 60%

“…is the Gaunt-factor, that describes the curvature of electron trajectory in the given potential of an ion with the charge zi and the charge of nuclei Z in the Coulomb approximation [13][14][15][16]. Now we multiply the photoionization cross-section by the number of EQP (4) …”

Section: Ionization Cross-sections and Ratesmentioning

confidence: 99%

Tungsten Ions in Plasmas: Statistical Theory of Radiative-Collisional Processes

Demura

Kadomtsev

Lisitsa

et al. 2015

Atoms

View full text Add to dashboard Cite

show abstract

“…According to the quasi-classical theory of radiative transitions [33], the emission of photons with the energy k by an electron is most effective in the turning point r 0 of the classical trajectory for which the angular electron velocity is close to k. Therefore, the distance r 0 in Equation (21) may be determined as a root of the equation, which is written in atomic units as follows:…”

Section: Model Used In Calculationsmentioning

confidence: 99%

Radiative Recombination and Photoionization Data for Tungsten Ions. Electron Structure of Ions in Plasmas

Trzhaskovskaya

Nikulin

2015

Atoms

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Theoretical studies of tungsten ions in plasmas are presented. New calculations of the radiative recombination and photoionization cross-sections, as well as radiative recombination and radiated power loss rate coefficients have been performed for 54 tungsten ions for the range W 6+ -W 71+ . The data are of importance for fusion investigations at the reactor ITER, as well as devices ASDEX Upgrade and EBIT. Calculations are fully relativistic. Electron wave functions are found by the Dirac-Fock method with proper consideration of the electron exchange. All significant multipoles of the radiative field are taken into account. The radiative recombination rates and the radiated power loss rates are determined provided the continuum electron velocity is described by the relativistic Maxwell-Jüttner distribution. The impact of the core electron polarization on the radiative recombination cross-section is estimated for the Ne-like iron ion and for highly-charged tungsten ions within an analytical approximation using the Dirac-Fock electron wave functions. The effect is shown to enhance the radiative recombination cross-sections by < ∼ 20%. The enhancement depends on the photon energy, the principal quantum number of polarized shells and the ion charge. The influence of plasma temperature and density on the electron structure of ions in local thermodynamic equilibrium plasmas is investigated.Results for the iron and uranium ions in dense plasmas are in good agreement with previous calculations. New calculations were performed for the tungsten ion in dense plasmas on the basis of the average-atom model, as well as for the impurity tungsten ion in fusion plasmas using the non-linear self-consistent field screening model. The temperature and density dependence of the ion charge, level energies and populations are considered.Atoms 2015, 3 87

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The discovery of the Planck constant: 'roentgenoscopy' of the scientific situation (1900). Missed opportunities in the choice of the Second Step (on the centenary of the First Step of quantum theory)

Kramers electrodynamics and electron-atomic radiative-collisional processes

Cited by 58 publications

References 42 publications

Tungsten Ions in Plasmas: Statistical Theory of Radiative-Collisional Processes

Tungsten Ions in Plasmas: Statistical Theory of Radiative-Collisional Processes

Radiative Recombination and Photoionization Data for Tungsten Ions. Electron Structure of Ions in Plasmas

The discovery of the Planck constant: 'roentgenoscopy' of the scientific situation (1900). Missed opportunities in the choice of the Second Step (on the centenary of the First Step of quantum theory)

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