Investigation of quartz crystals with non-homogeneous distributions of impurity atoms by X-ray methods

Abstract

Lang‐ and section topography in transmission, plane wave topography in reflection, and precision lattice parameter determination are applied to the study of step like impurity atom distributions in quartz. The possibilities to describe the deformation fields connected with these distributions by means of the theory of elasticity, including also ansiotropic effects, are discussed. The applicability and the limits of the used X‐ray methods for the measurement of these deformation fields are investigated theoretically and experimentally. All the methods used yield the same values of parameters (step hight and width) of the model of the deformation field within the ranges of their experimental accuracy. Using the anisotropical theory of elasticity the results of the lattice parameter determination can yield information about the anisotropy of the quasiplastic dilatation due to the defects.

Study of YBa2Cu3O7 Superconductor by Low-Temperature Scanning Tunneling Microscopy and Spectroscopy

“…In most cases the diffracting volume is much smaller for Bragg cases. This explains the great success of the application of the present approximation for the qualitative interpretation and quantitative simulation (e.g., [22,[24][25][26]) of double-crystal x-ray diffraction topographs recorded in that geometry.…”

“…But the presented theory also allows the quantitative treatment of x-ray topographs. Examples of such simulations may be found in [24,35].…”

X-Ray Synchrotron Topography Investigation of Porous Silicon Formed by Patterning in Localized Areas

“…The black and white contrast at the window edges in both images is given by the shift the working point undergoes on the rocking curve of the perfect substrate as a consequence of the bending of the substrate lattice planes. 19 Inversion of the black-white ͑Fig. 10a͒ to white-black contrast ͑Fig.…”

“…The contrast can be properly described by the shift the working point undergoes on the rocking curve of the perfect crystal as a consequence of the misorientation of the lattice planes. 19 On the topographs recorded at different incident angles, i.e., different working points on the rocking curve, different parts of the sample, corresponding to different local values of the strain field, fulfill the Bragg condition.…”