Difference between revisions of "Absorption length"

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(Absorption)
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The absorption length arises from the imaginary part of the [[atomic scattering factor]], ''f''<sub>2</sub>. It is closely related to the absorption cross-section, and the mass absorption coefficient. Specifically, the '''atomic photoabsorption cross-section''' can be computed via:
 
The absorption length arises from the imaginary part of the [[atomic scattering factor]], ''f''<sub>2</sub>. It is closely related to the absorption cross-section, and the mass absorption coefficient. Specifically, the '''atomic photoabsorption cross-section''' can be computed via:
 
:<math>
 
:<math>
\sigma = 2 r_e \lambda
+
\sigma = 2 r_e \lambda f_2
 
</math>
 
</math>
 +
Where ''λ'' is the x-ray wavelength, and ''r<sub>e</sub>'' is the classical electron radius.
  
 
==See Also==
 
==See Also==

Revision as of 13:37, 6 June 2014

The absorption length or attenuation length in x-ray scattering is the distance over which the x-ray beam is absorbed. By convention, the absorption length ϵ is defined as the distance into a material where the beam flux has dropped to 1/e of its incident flux.

Absorption

The absorption follows a simple Beer-Lambert law:

The attenuation coefficient (or absorption coefficient) is simply the inverse of the absorption length;

Calculating

The absorption length arises from the imaginary part of the atomic scattering factor, f2. It is closely related to the absorption cross-section, and the mass absorption coefficient. Specifically, the atomic photoabsorption cross-section can be computed via:

Where λ is the x-ray wavelength, and re is the classical electron radius.

See Also