Why does the mass attenuation coefficient have a negative gradient?

In summary, the mass attenuation coefficient (MAC) is the rate of energy loss of a photon as it travels through a medium and is solely determined by the atomic arrangement. This is why it decreases as the photon energy increases. The jagged parts on the graph represent the electron excitation energies of atoms and the negative gradient is due to the matrix element of the electrical dipole operator between atomic wave functions. The MAC can also be understood as the probability of a photoelectric absorption interaction per unit distance traveled into the material.
  • #1
epsilon
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I am currently trying to understand the mass attenuation coefficient (MAC) with regards to photoelectric absorption. Consider this graph:

NaKSb_photoelectric_absorption - Copy.png


Why does this have a negative gradient? Why does the MAC decrease as the photon energy increases?

From what I understand, the MAC is the rate of energy loss of a photon as it traverses a medium, independent of the density of the medium and is therefore solely a property of the atomic arrangement, etc. Hence why would a photon be losing energy slower if it is initially higher energy? Also, I believe the jagged parts of the line are the electron excitation energies of atoms, but how does this tie into the negative gradient?

Many thanks in advance!
 
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  • #2
Everybody knows that x-rays penetrate matter, so you should not be surprised.

As to why, this is due to the matrix element of the electrical dipole operator between atomic wave functions. It goes down fast when the wavelength is smaller than the size of the orbitals.
Yes, the jagged parts are the absorption edges, when the photon energy is at the treshold for ionisation of an inner-shell electron.
 
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  • #3
I also found that the MAC is easier to understand as the probability of a photoelectric absorption interaction per unit distance traveled into the material, for anyone else who is wondering!
 
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1. What is the definition of mass attenuation coefficient?

The mass attenuation coefficient is a measure of how much a material attenuates or reduces the intensity of a beam of radiation as it passes through the material.

2. How is mass attenuation coefficient different from linear attenuation coefficient?

The mass attenuation coefficient takes into account the density of the material, whereas the linear attenuation coefficient does not. This means that the mass attenuation coefficient is a more accurate measure of a material's ability to attenuate radiation.

3. What factors affect the mass attenuation coefficient?

The mass attenuation coefficient is affected by the type of radiation, the energy of the radiation, and the density and composition of the material being measured.

4. How is mass attenuation coefficient used in radiation shielding?

The mass attenuation coefficient is used to calculate the thickness of material needed to adequately shield against a specific type and energy of radiation. A higher mass attenuation coefficient means a thicker material is needed for effective shielding.

5. Can the mass attenuation coefficient change for a specific material?

Yes, the mass attenuation coefficient can vary depending on the energy of the radiation being measured. It can also change if the material is physically altered, such as being compressed or heated, which can affect its density and composition.

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