Lambert’s Law describes the amount of attenuation that radiation undergoes passing through a material:
![[Lambert's Law]](img/Lambert.gif)
The concept of a "half-thickness" is particularly useful when discussing absorption. This is simply the thickness of material required to halve the intensity of X-ray (or any other) radiation. It may be calculated from Lambert's Law, noting that at the half thickness, the intensity of the radiation is halved (I = ½ Io). Plugging in yields:
![[Half Thickness 1]](img/Half1.gif)
Taking the natural log of both sides of the equation yields:
![]()
Rearranging:
![[Half Thickness 3]](img/Half3.gif)
The natural log of 0.5 = -0.6931, so the final equation is:
![[Half Thickness Eqn.]](img/Half4.gif)
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Copyright 1997-2003, James H. Wittke
Last update: 01/18/2006 01:47 PM.