When I plot the Thompson relationship for an incoming ion the peak in the  plot (normalized energy distribution vs sputtered atom energy) occurs at approximately half the cohesive energy. This is a known relationship. However, in TRIM tutorial 2 it clearly states that sputtering cannot occur unless the energy of the atom leaving the surface is above the cohesive energy. In the differential and integral plots from TRIM they both agree with this as atoms before this energy are deemed "not sputtered". Therefore, how are studies constantly showing SRIM and Thompson results in agreement?

Second, how can I turn the results from trim (energy of each sputtered atom) into a plot of energy distribution vs sputter atom energy?