Electrons velocity distribution

B. Low-Energy Electron Emission in Fast Heavy-Ion-Atom Collisions 1. Longitudinal Electron Velocity Distributions... 

As is the case for Eq. (11.31), Eq. (11.32) states explicitly that the rate constant for Rydberg atom scattering is the same as the rate constant for free electron scattering averaged over the Rydberg electron velocity distribution. 

Thus we see that the field emission source permits many orders of magnitude more counts in any signal than the other sources, if ideal lenses are employed. In all cases, raising the acceleration voltage can increase the intrinsic brightness, by skewing the electron velocity distribution more along the optical axis. 

The variation of electron velocity distribution function with operating conditions. 

According to the concept of the short-range interaction in binary electron collisions, the appropriate phase space balance equation for the electron velocity distribution F(v,x,t) is given by the Boltzmann equation (Desloge, 1966 Shkarofsky et al, 1966 Golant et al, 1980)... 

All applications and extensions of the space-dependent two-term approximations mentioned above are related to the condition that the electric field acts parallel to a fixed space direction and that the inhomogeneity concerning the electron component takes place parallel to the same space direction. In this case, a symmetry of the electron velocity distribution around this direction is established and its expansion in Legendre polynomials, Eq. (9), is adequate to describe the velocity distribution by a two-term approximation or, with greater accuracy, by a multiterm approximation. 

The previonsly considered EEDFs are related to the isotropic part of the electron velocity distribution /(v). This distribntion /(v), in general, is anisotropic in an electric field, which determines electric crment and plasma conductivity. Electrons receive additional velocity u (3-40) dtrring the free motion between collisions. If the anisotropy is not very strong ( v), we can asstrme that the fraction of electrons in the point v of real anisotropic... 

This view of the matter is still far from completely satisfactory and does not explain the wide gap between conductors and insulators. The conception of electrons in a metal as rather like so many particles in a box is far too much idealized, and account must be taken of the potential field of the positive ions in which these electrons move. This field is periodic with the same periodicity as the lattice itself, and the electron velocity distribution in such a region is susceptible of mathematical study in a more complete way. 

Electron velocity distribution functions and rate constants... 

Electrons are the origin of most of the chemical reactions happening at atmospheric pressure plasma based processes hence, their energy distribution plays an important role in plasma chemical reactions. The electron velocity distribution function (EVDF) in our system is determined on the basis of the emission of nitrogen molecule (equations 1-13). For this... 

Here f(v) denotes the electron velocity distribution, v is the random electron velocity. At temperature T, the mean electron velocity is given as... 

Electrons which have energies greater than the thermal energy keT of the medium they are moving in are called warm or hot electrons. This definition implies that the electron velocity distribution is of Maxwell-Boltzmann type and that an electron mean energy, , can be defined as... 

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