The possible plane separation related to Bragg reflection

Click For Summary
SUMMARY

The discussion centers on the calculation of the interplanar spacing (d) using Bragg's law, specifically the equation 2d sin q = nl. A calculation was performed yielding d = 0.16 nm using a wavelength (λ) of 0.16 nm and a scattering angle (q) of 30 degrees. However, the result of 0.16 nm was not among the provided options, leading to speculation about a potential typo in the wavelength, suggesting it should be λ = 0.136 nm. Participants are encouraged to provide further insights or corrections.

PREREQUISITES
  • Understanding of Bragg's law and its application in crystallography.
  • Familiarity with the concepts of interplanar spacing and diffraction.
  • Basic knowledge of trigonometric functions, particularly sine.
  • Ability to perform calculations involving wavelengths and angles in a physics context.
NEXT STEPS
  • Research the implications of Bragg reflection in X-ray crystallography.
  • Study the derivation and applications of Bragg's law in material science.
  • Explore the significance of wavelength selection in diffraction experiments.
  • Learn about common sources of error in experimental physics calculations.
USEFUL FOR

Students and professionals in physics, materials science researchers, and anyone involved in crystallography or diffraction analysis.

songoku
Messages
2,508
Reaction score
402
Homework Statement
An X ray beam with wavelength 0.16 nm is incident on a set of planes of certain crystal. The first Bragg reflection is observed for an incidence angle of 30 degree. The reflection satisfies the relation 2d sin q = nl. The possible planes separation d for the reflection is
a. 0.136 nm and 0.272 nm
b. 0.136 nm and 1.36 nm
c. 0.136 nm and 13.6 nm
d. 0.136 nm
Relevant Equations
2d sin q = nl (given by question)
2d sin q = nl

d = nl / (2 sin q)

d = (1 x 0.16) / (2 sin 30o) = 0.16 nm

But 0.16 is not in the option. And how to find other value of d?

Thanks
 
Physics news on Phys.org
Looks to me like a typo, that should have ## \lambda=.136 ## nm. Perhaps someone else has a better explanation.
 
  • Like
Likes songoku and TSny
Thank you very much for the help Charles Link
 
  • Like
Likes Charles Link

Similar threads

Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
9K