link to lecture transcript - UT-H GSBS Medical Physics Class Site

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To account for binding energy, we multiply the differential cross section, dσ/dθ, based on the Klein-Nishina theory, times a quantity that amounts to an atomic form factor. It represents the probability that an electron actually leaves the atom. It’s a function of x, which is related to the scatter angle and the photon energy, and it’s a function of atomic number Z. 36
These values were tabulated by Hubbell in the Journal of Physical Chemistry Reference Data. So if we take this quantity, take everything together, and integrate over angles, we can obtain the Compton coefficient in the real world. We are going to have some slight deviations from the Compton coefficient for a free electron gas that account for binding energy. 37
Page 1 and 2: Today, we continue our talk about C
Page 3 and 4: We previously derived an equation f
Page 5 and 6: So σ 0 is the classical cross sect
Page 7 and 8: Let’s look at this graph. Notice
Page 9 and 10: What about the dependence of the Co
Page 11 and 12: The energy transferred to the elect
Page 13 and 14: If we plot the energy transfer coef
Page 15 and 16: The energy transfer coefficient has
Page 17 and 18: What about the scatter coefficient?
Page 19 and 20: Using this equation we can now plot
Page 21 and 22: This probability is represented by
Page 23 and 24: This figure is a plot taken from Jo
Page 25 and 26: We can always calculate what the ma
Page 27 and 28: Remember dσ/dE is relatively const
Page 29 and 30: Now we also look at the graph and s
Page 31 and 32: First, let’s recall that the atte
Page 33 and 34: What we now want to find out is how
Page 35: So far, our approximations have bee
Page 39 and 40: So what is the effect of binding en
Page 41 and 42: At higher energies there is no diff
Page 43 and 44: Note that this graph is for very lo
Page 45: The fraction of energy transferred

link to lecture transcript - UT-H GSBS Medical Physics Class Site

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