Difference between revisions of "X-ray absorption & fluorescence"

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== Absorption Length ==
== Absorption Length ==
Alternatively ''Attenuation Length'' is defined as the distance into a material where the x-ray beam intensity has decreased to 1 / e, or about 63% of the incident beam.  The X-ray beam intensity at depth x into a material is calculated by Beer-Lambert law:
The X-ray beam intensity (of wavelength = lambda) at depth x into a material is calculated by Beer-Lambert law:
 
I(x) = e^(-x/lambda)
   
   
<math>\sqrt{1-e^2}</math>
The '''Absorption Length''' is defined as the distance into a material where the x-ray beam intensity has decreased to 1 / e, or about 63% of the incident beam (alternatively called ''Attenuation Length'')




 
(1/e) = e^(-x/lambda)
I(x) = e^(-x/lambda)


ln(1/e) = ln(e ^-x/lambda)
ln(1/e) = ln(e ^-x/lambda)
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1 = x/Lambda
1 = x/Lambda


1/lamda = x
x = 1/Lambda
 
and


1/mu = x
x = 1/mu





Revision as of 23:55, 28 August 2011

X-ray Absorption Information (11BM page) http://11bm.xor.aps.anl.gov/absorption.html


Absorption Length

The X-ray beam intensity (of wavelength = lambda) at depth x into a material is calculated by Beer-Lambert law:

I(x) = e^(-x/lambda)

The Absorption Length is defined as the distance into a material where the x-ray beam intensity has decreased to 1 / e, or about 63% of the incident beam (alternatively called Attenuation Length)


(1/e) = e^(-x/lambda)

ln(1/e) = ln(e ^-x/lambda)

1 = x/Lambda

x = 1/Lambda

and

x = 1/mu


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