The relation between ionization yields, cross sections and loss functions

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Abstract
A self-consistent description of the three energy-dependent quantities, ionization cross sections, loss functions and ionization yields, is examined. The parameters in analytical formulate that accurately describe the differential energy loss cross sections and the loss function for any gas - in particular for He, H2, N2 and O2 - are obtained. The ionization yield in the kev region, or equivalently the energy per ion pair, is found to be useful in fixing the loss function at energies in the 100 ev region. If careful measurements of ionization yield down to the 100 ev region were available and if the ionization cross sections at kev energies were more accurate, one could in principle determine a consistent L(E) to still lower energies.

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