Debye shielding

A collection of electrons and ions, usually at a high enough temperature so that the ionization level is about 5% and at densities such that the Debye shielding distance is much smaller than the macroscopic dimensions of liie system. See also Fusion Energy. 

The variation of the pressure against the confinement radius is shown in Figure 6. Figure 7 shows the behavior of the ls-2p transition wavelength against different values of the Debye shielding parameter X and the... 

Figure 7 Transition wavelength for the 2p state of a compressed hydrogen atom under different confinement radii and Debye shielding. The screening parameters (au) are indicated along the horizontal lines. Reprinted with permission from Claude Bertout, Editor-in-Chief, A A (Ref. [172]).

Figure 9 Scaled excitation energies (au) for different hydrogen-like ions against Debye shielding (au) showing explicitly relativistic effects. Reprinted with permission from [173] 2004, American Physical Society...

The ion filaments are more robust than the preceding electron filaments since the thermalized electron will Debye shield the ion filaments. Even further downstream the current filaments acts as 2D macro particles in the transverse plane and are themselves collected into larger filaments as explained by Frederiksen et al., 2004 and Medvedev et al., 2004. This behavior can be seen in fig. 1. 

The quantity is termed the Debye shielding distance or, more frequently, the Debye length. 

Plasma Polarization Debye Shielding of Electric Field in Plasma... 

While much of his reputation was based on nonpolymeric accompHshments, such as demonstrated by the Debye-Huckel theory, the Debye-Scherrer x-ray diffraction technique, the Debye-Sears effect in liquids, the Debye temperature, the Debye shielding distance, the Debye frequency and the Debye unit of electric moment, his development of the hght scattering technique for the determination of the molecular weight of polymers resulted in his also being recognized as a world class polymer scientist. 

Figure 5. Transition wavelength for the 2p state of compressed hydrogen atoms under different confinement radii and Debye shielding (/x).

For the solutions we find 0.5 nm (0.31 nm) for IM, 0.4 nm (0.24 nm) for 2M, 0.2 nm (0.18 nm) for 3M. The Debye shielding lengths calculated using Eqn(2) are in parentheses. Made with these favorable assumptions the agreement is remarkably close. It would change if we used e = 6, a value more appropriate for a zone in which the dielectric properties of water are at saturation values[68]. 

For ionic concentration of 1 mol/m and a dielectric constant equal to that of water, e = 78 0, we have Xjj 9.5 nm at standard ambient condition where Xd is termed as the Debye shielding distance or Debye length. 

At an ion pressure of less than 10 Pa, the Debye shielding radius becomes larger than the linear dimension of the cell and the concentrations of positive and negative ions in the cell are not equal. Changing the electron work function of the inner surface of the cell can increase the concentration of the ions of interest. 

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