Direct Measurement of the Angular Dependence of the Imaginary Part of the Atomic Scattering Factor of Germanium

In the dynamical theory of the anomalous transmission of x-rays through perfect thick crystals, the ratio of transmitted intensity to incident intensity depends upon [1 − Kf″
Ge
(θ
hkl
)/f″
Ge
(0°)] exponentially. Here K is the polarization factor and the f″
Ge
(θ
hkl
) and f″
Ge
(0°) are the imaginary parts of the atomic scattering factors of germanium at the angle θ
hkl
and 0°, respectively. This paper describes the measurement of the ratio f″
Ge
(θ
hkl
)/f″
Ge
for several different sets of planes in nearly perfect germanium crystals.