The semiclassical correction to Molière’s formula for multiple scattering is derived. The consideration is based on the scattering
amplitude obtained with the first semiclassical correction taken into account for an arbitrary localized but not spherically
symmetric potential. Unlike the leading term, the correction to Molière’s formula contains the target density
n and thickness
L not only in the combination
nL (areal density). Therefore, this correction can be referred to as the bulk density correction. It turns out that the bulk
density correction is small even for high density. This result explains the wide range of applicability of Molière’s formula.
PACS numbers 12.20.-m - 34.80.Bm
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