Davisson-Germer experiment and Bragg's law

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SUMMARY

The Davisson-Germer experiment and Bragg's law both describe the conditions for constructive interference in wave diffraction, yet they differ in their formulations. The Davisson-Germer experiment uses the equation dsin(theta) = n(wavelength), while Bragg's law employs 2dsin(theta) = n(wavelength). This distinction arises because Bragg's law applies to the diffraction of X-rays between crystal layers, whereas the Davisson-Germer experiment focuses on electron diffraction at atomic distances. Understanding these differences is crucial for interpreting diffraction patterns in crystallography.

PREREQUISITES
  • Understanding of wave-particle duality in quantum mechanics
  • Familiarity with X-ray diffraction techniques
  • Knowledge of crystal lattice structures
  • Basic principles of interference and diffraction
NEXT STEPS
  • Study the principles of X-ray diffraction using Bragg's law
  • Explore the Davisson-Germer experiment in detail
  • Investigate the relationship between interatomic distances and diffraction patterns
  • Read "Introduction to Solid State Physics" by Charles Kittel for comprehensive insights
USEFUL FOR

Students of physics, crystallographers, and researchers in materials science seeking to deepen their understanding of wave diffraction and its applications in crystal analysis.

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In Davisson-Germer experiment the necessity of constructive interference is dsin(theta)=n(wavelength) but in Braggs law its 2dsin(theta)=n(wavelength), why are these two different? I saw that Braggs law is used between layers of crystals but I've also seen Davisson-Germer experiment's equation being used in distances between crystals, including the distance between the layers.
 
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Maybe the interatomic distance d is considered in a different way, from which book(s) did you get the diffraction laws ?
 

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