Crystal Diffraction: The Mystery of (1 1 1) Plane in Lattice SC, BCC, and FCC

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    Crystal Diffraction
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Discussion Overview

The discussion revolves around the diffraction of the (1 1 1) plane in three types of crystal lattices: simple cubic (sc), body-centered cubic (bcc), and face-centered cubic (fcc). Participants explore the conditions under which diffraction occurs based on the structure factor calculations for each lattice type.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant poses a question regarding the diffraction of the (1 1 1) plane in sc, bcc, and fcc lattices.
  • Another participant suggests that calculating the structure factor for the (1 1 1) plane in each lattice will determine which structures produce diffraction.
  • A different viewpoint states that a plane will always give rise to diffraction, regardless of the lattice type.
  • A later reply confirms the calculation of the structure factor and claims to have found a solution, thanking others for their help.

Areas of Agreement / Disagreement

There is no clear consensus on the conditions for diffraction, as one participant asserts that diffraction occurs for any plane while others focus on the necessity of non-zero structure factors for specific lattices.

Contextual Notes

The discussion does not resolve the implications of the structure factor calculations or the conditions under which diffraction occurs for each lattice type.

dirac68
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Hi, this is my first post.
I have a problem to solve:

"Given the plane (1 1 1) of 3 lattice sc, bcc and fcc, says in which case there is diffraction"

I hope that someone helps me...
Thanks for helpers
 
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You have to calculate the structure factor of the (111) for the 3 structures. The one(s) with non-zero structure factors will produce diffraction a line.
 
A plane will always give rise to diffraction, irrespective of the type of lattice.
 
nasu said:
You have to calculate the structure factor of the (111) for the 3 structures. The one(s) with non-zero structure factors will produce diffraction a line.

Yes, it's right. I found the solution! Thank you!
 

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