Small Bragg-plane slope errors revealed in synthetic diamond crystals

Abstract

Wavefront-preserving x-ray diamond crystal optics are essential for numerous applications in x-ray science. Perfect crystals with flat Bragg planes are a prerequisite for wavefront preservation in Bragg diffraction. However, this condition is difficult to realize in practice because of inevitable crystal imperfections. Here we use x-ray rocking curve imaging to study the smallest achievable Bragg-plane slope errors in the best presently available synthetic diamond crystals and how they compare with those of perfect silicon crystals. We show that the smallest specific slope errors in the best diamond crystals (both freestanding or strain-free mounted) are about 0.15-0.2~$\mu$rad/mm$^2$. These errors are only a factor of two larger than the 0.05-0.1~$\mu$rad/mm$^2$ specific slope errors we measure in perfect silicon crystals. High-temperature annealing at 1450$^{\circ}$C of almost flawless diamond crystals reduces the slope errors very close to those of silicon. Further investigations are required to establish the wavefront-preservation properties of these crystals.