Vanadium has a negligible absorption and coherent scattering cross section for neutrons and is hence nearly invisible in a powder diffraction experiment.
12.
This is not because the total scattering cross section of all the soot particles has changed, but because the soot has dispersed.
13.
Vanadium does however have a considerable incoherent scattering cross section which may cause problems for more sensitive techniques such as neutron inelastic scattering.
14.
The total amount of scattering in a sparse medium is proportional to the product of the scattering cross section and the number of particles present.
15.
For monochromatic incident waves the self-consistent solution for the oscillating dipole moments may be found; from these the absorption and scattering cross sections are computed.
16.
This reduces the phase space volume of the possible states after scattering, and hence, by Fermi's golden rule, the scattering cross section goes to zero.
17.
This formula is the scattering cross section for " Rutherford scattering ", where a point charge ( carrier ) moves past another point charge ( defect ) experiencing Coulomb interaction.
18.
Because of these factors, as well as the much larger incoherent scattering cross section of protium, ordinary proteins cannot be imaged as well as those that are fully deuterated.
19.
Where f _ e ( q, Z ) is the electron scattering cross-section and f _ x ( q, Z ) is the x-ray scattering cross section.
20.
As of 2012, the best constraint on the elastic photon photon scattering cross section belongs to PVLAS, which reports an upper limit far above the level predicted by the Standard Model.
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