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Bragg diffraction - How to make sense of it ?

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svrphy
#1
Jan25-14, 10:24 AM
P: 14
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/ca...raction7_1.htm
OR
http://chemwiki.ucdavis.edu/Analytic...ragg's_Law
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UltrafastPED
#2
Jan25-14, 10:44 AM
Sci Advisor
Thanks
PF Gold
UltrafastPED's Avatar
P: 1,908
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.../chapter1c.pdf

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

But the Bragg equation is very simple, and very accurate, so I have used it extensively in my electron diffraction work.
svrphy
#3
Jan26-14, 06:00 AM
P: 14
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.

UltrafastPED
#4
Jan26-14, 03:33 PM
Sci Advisor
Thanks
PF Gold
UltrafastPED's Avatar
P: 1,908
Bragg diffraction - How to make sense of it ?

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.
M Quack
#5
Jan27-14, 10:11 AM
P: 669
This article by P. P. Ewald, one of the founding fathers of x-ray diffraction, give an excellent overview without excessive math.

http://rmp.aps.org/abstract/RMP/v37/i1/p46_1
svrphy
#6
Feb5-14, 11:13 PM
P: 14
Quote Quote by M Quack View Post
This article by P. P. Ewald, one of the founding fathers of x-ray diffraction, give an excellent overview without excessive math.

http://rmp.aps.org/abstract/RMP/v37/i1/p46_1
Thanks for the link. If you have access, could you pls give me the pdf ?


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