X-ray Scattering: Bragg Spacing, D-Spacing, Q & Repeat Distance

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SUMMARY

The discussion clarifies the relationship between Bragg spacing, D-spacing, and the scattering vector Q in the context of X-ray scattering. Bragg spacing and D-spacing refer to lattice plane spacing in direct and reciprocal spaces, while Q is defined as the difference between the incident and diffracted beams, related to lattice spacing through Laue diffraction conditions. Key references for further reading include "Elements of X-ray Diffraction" by Cullity and "Elements of Modern X-ray Physics" by Als-Nielsen and McMorrow, both of which provide foundational knowledge on the subject.

PREREQUISITES
  • Understanding of Bragg's Law and its application in X-ray diffraction
  • Familiarity with lattice vectors and Miller indices
  • Basic knowledge of solid state physics principles
  • Concept of reciprocal space in crystallography
NEXT STEPS
  • Study Bragg's Law and its implications in X-ray scattering
  • Learn about the Laue diffraction conditions and their applications
  • Explore lattice plane spacing and its significance in crystallography
  • Investigate solid state physics textbooks for comprehensive explanations of X-ray diffraction
USEFUL FOR

Researchers, physicists, and students in materials science or solid state physics who seek to deepen their understanding of X-ray scattering techniques and their underlying principles.

thearny
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bragg spacing? how does it differ from d-spacing? and where does q fit in? And finally are all of these directly related to the repeat distance?
 
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Does anybody know a good source for information on the basics of X-ray scattering, my library has nothing since 1965, and that's unreadable!
 
Cullity: Elements of x-ray diffraction. 1st ed. came out in 1955 and it's still very useful. Latter editions are useful too but if your library doesn't have them you better be loaded because they're expensive. Als-Nielsen, McMorrow: Elements of modern x-ray physics is good too.


bragg spacing and d-spacing? I'm unfamiliar with this terminology. I suppose they mean lattice plane spacing in direct and reciprocal spaces but in which order? repeat distance means lattice plane spacing too I think.

q is the scattering vector. the difference between the incident and diffracted beam. it is related to the lattice spacing via the Laue diffraction conditions

q \cdot a=2\pi h
q \cdot b=2\pi k
q \cdot c=2\pi l

where q is the scattering vector, a,b and c the lattice vectors in direct space and h,k and l the miller indices of the plane the beam is getting scattered from.

quite a few solid state physics books also have pretty good basic explanations of x-ray diffraction.
 

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