It has been established with the aid of a double-crystal X-ray diffractomet
er that the nonuniform curvature of cylindrically, spherically, or thoroida
lly bent silicon and quartz crystals is of a periodic character. It is show
n that this periodicity influences the spectral (energy) resolution of a fo
cusing crystal, which becomes noticeable at the Bragg angle theta obeying t
he condition tan(2)theta P 1. (C) 2001 MAIK "Nauka/Interperiodica".