# Calculation of spectral and Rosseland paths in a plasma with multiply charged ions based on a statistical approach

## Abstract

The semiclassical approach to determine the Fourier components of the electron dipole moment disregarding polarization (noninteracting electron model) is used for analyzing ion oscillator strengths and determining the radiation properties of plasmas consisting of multiply charged ions of heavy elements. The oscillator strength distribution df/d{omega} (proportional to the photoabsorption cross section) is calculated as a function of the degree of ionization and self-similar frequency {Omega} = {omega}/Z. It is found that for low degrees of ionization, function df/d{omega} for an ion is close to function df/d{omega} for a neutral atom; upon an increase in the degree of ionization, regions are formed in which df/d{omega} = 0 (transparency windows) and the photoabsorption cross section for high degrees of ionization differs from zero only in small frequency ranges. The resultant distribution of the ion oscillator strengths is used for calculating the polarizability of ions as a function of frequency and the cross section of radiation scattering on ions. For a gold plasma, the absorbance and opacity (both spectral and averaged according to Rosseland and Planck) are calculated. The results of computing the paths and absorption coefficients coincide in order of magnitude with the available data. The effect of scattering on the Rosselandmore »

- Authors:

- All-Russia Research Institute of Experimental Physics, Russian Federal Nuclear Center (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22069259

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 5; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CROSS SECTIONS; DIPOLE MOMENTS; ELECTRONS; FREQUENCY DEPENDENCE; GOLD; IONIZATION; MULTICHARGED IONS; OPACITY; OSCILLATOR STRENGTHS; PLASMA; POLARIZABILITY; POLARIZATION; SEMICLASSICAL APPROXIMATION

### Citation Formats

```
Garanin, S. F., E-mail: sfgar@vniief.ru, and Kravets, E. M.
```*Calculation of spectral and Rosseland paths in a plasma with multiply charged ions based on a statistical approach*. United States: N. p., 2012.
Web. doi:10.1134/S1063776112100147.

```
Garanin, S. F., E-mail: sfgar@vniief.ru, & Kravets, E. M.
```*Calculation of spectral and Rosseland paths in a plasma with multiply charged ions based on a statistical approach*. United States. doi:10.1134/S1063776112100147.

```
Garanin, S. F., E-mail: sfgar@vniief.ru, and Kravets, E. M. Thu .
"Calculation of spectral and Rosseland paths in a plasma with multiply charged ions based on a statistical approach". United States. doi:10.1134/S1063776112100147.
```

```
@article{osti_22069259,
```

title = {Calculation of spectral and Rosseland paths in a plasma with multiply charged ions based on a statistical approach},

author = {Garanin, S. F., E-mail: sfgar@vniief.ru and Kravets, E. M.},

abstractNote = {The semiclassical approach to determine the Fourier components of the electron dipole moment disregarding polarization (noninteracting electron model) is used for analyzing ion oscillator strengths and determining the radiation properties of plasmas consisting of multiply charged ions of heavy elements. The oscillator strength distribution df/d{omega} (proportional to the photoabsorption cross section) is calculated as a function of the degree of ionization and self-similar frequency {Omega} = {omega}/Z. It is found that for low degrees of ionization, function df/d{omega} for an ion is close to function df/d{omega} for a neutral atom; upon an increase in the degree of ionization, regions are formed in which df/d{omega} = 0 (transparency windows) and the photoabsorption cross section for high degrees of ionization differs from zero only in small frequency ranges. The resultant distribution of the ion oscillator strengths is used for calculating the polarizability of ions as a function of frequency and the cross section of radiation scattering on ions. For a gold plasma, the absorbance and opacity (both spectral and averaged according to Rosseland and Planck) are calculated. The results of computing the paths and absorption coefficients coincide in order of magnitude with the available data. The effect of scattering on the Rosseland path is estimated.},

doi = {10.1134/S1063776112100147},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 5,

volume = 115,

place = {United States},

year = {2012},

month = {11}

}