Bragg diffraction - How to make sense of it ?

  1. Bragg diffraction - How to make sense of it ??

    Is there a way to make sense of Diffraction of X Rays without taking recourse to oversimplified concepts like "Reflection of X Rays by parallel planes" which is generally the explanation in most basic physics books. It's been a couple years since I first studied it and i continue to get confused by assertions like reflecting of Photons by atoms. Online sources are also full of it :

    http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm
    OR
    http://chemwiki.ucdavis.edu/Analytical_Chemistry/Instrumental_Analysis/Diffraction/Bragg's_Law
     
  2. jcsd
  3. UltrafastPED

    UltrafastPED 1,918
    Science Advisor
    Gold Member

    You can start with the Laue equations, which are derived from interference principles used in gratings, and derive the Bragg equation from them: http://www.phys.utk.edu/courses/Fall 2009/physics671/chapter1c.pdf

    Or you can start with the fully quantum mechanical Bloch theorem and derive the Bragg equation:
    http://www.uni-tuebingen.de/meso/ssscript/blochelectrons.pdf

    But the Bragg equation is very simple, and very accurate, so I have used it extensively in my electron diffraction work.
     
  4. I get that. But, is there a way to explain things without relying on mathematical formalism. I mean a general discussion on the physical mechanism.
     
  5. UltrafastPED

    UltrafastPED 1,918
    Science Advisor
    Gold Member

    Read chapter two of this dissertation: http://hdl.handle.net/2027.42/63758

    It starts with crystal theory, atomic scattering, and elastic scattering from crystals ... in short, a derivation of diffraction patterns starting from scratch.
     
    1 person likes this.
  6. Thanks for the link. If you have access, could you pls give me the pdf ?
     
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