The scattering of X-rays can also be described in terms of scattering cross sections, in which case is a convenient unit : 10 " 20 m 2 10 4 pm 2 } }.
22.
For a radially symmetric scattering potential, as in the case of the Coulomb potential, d \ Omega = 2 \ pi \ sin { \ Theta } d \ Theta, yielding the expression for the scattering cross section
23.
If we consider only s-wave scattering the differential cross section does not depend on the angle \ theta, and the total scattering cross section is just \ sigma = 4 \ pi | f | ^ 2.
24.
For light, as in other settings, the scattering cross section is generally different from the geometrical cross section of a particle, and it depends upon the wavelength of light and the permittivity, shape and size of the particle.
25.
For his doctoral thesis, Lippmann collaborated with Schwinger to produce the Lippmann-Schwinger equation, an integral equation formulation of the Schr�dinger equation intended for the calculations of scattering cross sections since the required boundary conditions are implicit in the formalism.
26.
Various mathematical forms such as Gamma function, lognormal or exponential forms are usually used to model the DSD . Mie or Rayleigh scattering theory with point matching or t-matrix approach is used to calculate the scattering cross section, and specific rain attenuation.
27.
This is the probability of reaching the screen if none were scattered, lessened by an amount ( 4 \ pi / k ) \ operatorname { Im } [ f ( 0 ) ], which is therefore the effective scattering cross section of the scatterer.
28.
Gas-cooled fast reactors have been the subject of research as well, as helium, the most commonly proposed coolant in such a reactor, has small absorption and scattering cross sections, thus preserving the fast neutron spectrum without significant neutron absorption in the coolant.
29.
So in this case the total scattering cross section is equal to the area of the circle ( with radius r + R ) within which the center of mass of the incoming sphere has to arrive for it to be deflected, and outside which it passes by the stationary scattering center.
30.
The program had technical achievements as well, such as developing high-strength fibers, and carbide coatings for Lithium Hydride, which has a large scattering cross section for fast and thermal neutrons was found to perform well with low mass compared to older Boron Aluminum Titanium Hydride ( BATH ) shields.
