In recent years quantitative diffraction techniques have been develope
d which can obtain accurate low-order structure factors by matching th
eoretical calculations to experimental energy-filtered Convergent Beam
Electron Diffraction (CBED) patterns. These techniques rely on the ca
lculation of accurate diffraction intensities which requires lengthy c
omputation. We have previously described a method of reducing computin
g times using perturbation theory. In this paper we describe a modific
ation to our original zone-axis pattern matching method to include Bet
he potentials. The modifications to the pattern matching process are d
escribed and the results of structure factor measurements for Si [110]
patterns using Bethe potentials are discussed.