PENDELLOSUNG FRINGES OF X-RAYS IN BRAGG CASE

The dynamical theory of electron and X-rays for a deformed crystal reported by Takagi is applied to the Bragg case. The transmitted and diffracted waves are represented by the same integral forms as in the Laue case. The integrals are calculated in the case where the crystal is perfect and the waves in the crystal and those emerging from the entrance surface are analytically obtained. The results show that the Pendellösung fringes and the margin effect exist in the Bragg case and the intensity of the wave emerging from the entrance surface oscillates with the distance from the incident point. The observations of the X-rays in (440) reflection from a single crystal of silicon support the results expected by the present theory. © 1969, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.