WOLFRAM|DEMONSTRATIONS PROJECT

Laue Diffractograms in Crystallography

​
crystal orientation
rotation axis
x
0
y
0
z
1
rotation angle
0
display options
spot size
0.1
ray visibility
0.5
axis visibility
0.5
axis length
3
cube size
0.5
plan view
3D view
FCC Laue Pattern
direction of incident beam:
[​0​,​0​,​1​]
In the Laue backscattering method, a polychromatic x-ray beam impinges on a single crystal through a small hole in a disc-like detector or photographic film. For specific wavelengths within the spectrum of the beam (fulfilling the Bragg condition), the lattice planes of the crystal behave like mirrors and reflect beams with corresponding wavelengths back onto the detector. From the resulting diffractogram ("Laue" pattern), the orientation of the crystal can be determined. This Demonstration assumes an FCC (face-centered cubic) crystal and generates diffractograms that include all reflections from lattice plane types {111}, {200}, {220}, {422}, {311}, {442}, {331}, {420}, {620}. These reflections are significant in Laue diffractograms from simple FCC metals, e.g. Al, Cu, Ag, Au. Observe that the reflections representing "zones" (planes with a common direction) line up along hyperbolas. In this Demonstration, you can rotate the crystal in order to observe the effect of lattice orientation on the pattern. In spite of the distortion introduced by the backscatter setting, high-symmetry zone-axis reflections (e.g. 111) locally reveal the symmetry of the corresponding crystal axis.