Spherical-Wave Neutron Propagation and Pendellösung Fringe Structure in Silicon

Abstract
We have studied neutron Pendellösung fringe patterns within the Bragg reflection from perfect silicon crystals. The patterns as obtained with a full-spectrum incident beam show that the coherent wave front of the neutron radiation must be considered as spherical rather than planar, and also that the crystals under study possess a uniformly curved distortion. The extended fringe patterns permit a precision determination of the coherent nuclear scattering amplitude for silicon of 0.41491(10)×10−12 cm per nucleus.