Collision binary elastic

Boltzman s H-Theorem Let us consider a binary elastic collision of two hard-spheres in more detail. Using the same notation as above, so that v, V2 represent the velocities of the incoming spheres and v, V2 represent the velocities of the outgoing spheres, we have from momentum and energy conservation that... 

There is a very simple model for estimating the trapping probability in atomic adsorption due to a phonon-excitation mechanism. In the hard-cube model (HCM) [6, 7], the impact of the atom on the surface is treated as a binary elastic collision between a gas phase atom (mass m) and a substrate atom (mass Mc) which is moving freely with a velocity distribution Pc(uc). This model is schematically illustrated in Fig. 1. If the depth of the adsorption well is denoted by Ead, the adsorbate will impinge... 

Figure 5 Schematic of a binary, elastic collision in LEIS. An incident ion of mass m and energy Eq gets scattered by a stationary target atom of mass m2 in a crystal. The final energy E of the scattered, incident ion only depends on the mass ratio mi/mi for a fixed geometry.

Considering a binary elastic collision two bodies collide and thereafter move apart again in such a way that both the overall momentum and the total kinetic energy of the center of mass of the two bodies are conserved ([96], p. 13) [43]. 

The electrons in weakly ionized plasmas generally undergo two basic impacts, namely, the action of an electric (and possibly of an additional magnetic) field and the interaction with heavy particles in binary elastic and inelastic collisions (Desloge, 1966 Shkarofsky et al., 1966 Golant et al, 1980). 

The relationship between the electron kinetic energy E and energy T transferred to atom of mass M in binary elastic collision as a function of the scattering angle % can be written as follows ... 

This binary elastic collision along with the parameters used to describe the energy transfer occurring in this event (those used in Relations 3.2 and 3.3) are shown in... 

Binary elastic collisions between the moving particle/atom and the stationary lattice atom represent the dominant mechanism for the formation of primary defects in metal crystals, and are natural elementary steps in all models and computer simulations of damage processes. 

E. The hard-cube model. Adapted from E. K. Grimmelman, J. C. Tully, and M. J. Cardilo, J Chem. Phys. 72,1039 (1980). See also Harris (1987). An incident atom of mass m imdergoes a binary elastic collision with a hard cube that is viewed as a surface atom with an effective mass M. The velocity of the incident atom, V, is changed only in the direction normal to the surface, (a) Using conservation of momentum show that the outgoing velocity of the atom in the direction normal to the surface is given by = ((/r - )/ jx + l))vi -I- (2/(/x - - ))u where... 

For inelastic collisions the Q integrals cannot yet be calculated from first principles. The procedure adopted with polyatomic gases is therefore to treat them as if the collisions were elastic, that is, to use tables of elastic-collision integrals and to derive effective values of eps)ij/kg and (si)y from the temperature variation of the transport properties. The first approximations to the binary diffusion coefficients l ij] 1, as well as and (1.2C — 1), may... 

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