Any available form of the statistical dynamical theory contains an approxim
ation based on the assumption that the correlation length tau of the random
imperfection of the crystal is much smaller than the Pendellosung length L
ambda. A new formulation is developed for the coherent part of the rocking
curve, without this short correlation approximation. Numerical calculations
are carried out in order to discuss the validity of this approximation whe
n the ratio tau/Lambda is varied.