Laue formulation

In the Bragg formulation of diffraction we thus refer to reflections from lattice planes and can ignore the positions of the atoms. The Laue formulation of diffraction, on the other hand, considers only diffraction from atoms but can be shown to be equivalent to the Bragg formulation. The two formulations are compared in Fig. 2B for planes with Miller indices (110). What is important in diffraction is the difference in path length between x-rays scattered from two atoms. The distance si + s2 in the Laue formulation is the same as the distance 2s shown for the Bragg formulation. The Laue approach is by far the more useful one for complicated problems and leads to the concept of the reciprocal lattice (Blaurock, 1982 Warren, 1969) and the reciprocal lattice vector S = Q 14n that makes it possible to create a representation of the crystal lattice in reciprocal space. 

In 1914, Professor Max Von Laue was awarded the Nobel Prize in Physics for his discovery that x-rays could be diffracted by crystals. Von Laue used a simple transmission x-ray experiment and a copper sulfate crystal to collect the diffraction pattern on a photographic plate. Von Laue formulated a simple theoretical description for the resulting diffraction patterns formed on the plate and showed not only that x-rays can be used for diffraction but also that the crystal lattices postulated in the previous century by Bravais could be observed by this method. ... 

Diffraction of light in two-dimensional lattices and their calculations were known in Laue s time an additional information. They have been the basis for Laue s calculation of three-dimensional diffraction lattices from X-ray experiments as a result he formulated a model of a spatial symmetrical structure of ions in a salt crystal abstract mental model. Laue proposed the use of realistic models in order to better visualize the concepts - but needed irrelevant items like balls, sticks and glue, in order to construct closest packings of spheres or spatial lattice models concrete models. 

In the previous Section the fundamental equations of the X-ray propagation due to the diffraction on a crystal, considered as perfect, have been formulated and solved, in the two waves approximation one transmitted and a single one diffracted, and with the unique customizations of Laue s and Bragg s cases for a plane-parallel crystal the present discussion follows Putz and Laciama (2005). 

Breiter T, Laue C, Kressel G, Groll S, Engelhardt UH, Hahn A (2011) Bioavailability and antioxidant potential of rooibos flavonoids in humans following the consumption of different rooibos formulations. Food Chem 128 338-347... 

The analysis and interpretation of diffraction patterns and other data from these new instruments required advanced mathematical skills. The first theoretical physicist to join the Institute was Gert Moliere, who arrived at the Institute shortly after completing his doctorate under Max von Laue in 1935 and remained in Dahlem until around 1940. During this time, he formulated a quantum mechanical account of X-ray diffraction in metals based on Laue s classical dynamic theory of diffraction, in which crystals were treated as continuous dielectrics. In... 

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