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Illinois MATSE 280 Introduction to Engineering Materials, Lecture 3 Part 4: Structures via Diffusion

By Duane Douglas Johnson1, Omar N Sobh2

1. Iowa State University (formerly University of Illinois Urbana-Champaign) 2. University of Illinois at Urbana-Champaign

Published on


Structures via Diffraction


  • Define basic ideas of diffraction (using x-ray, electrons, or neutrons, which,
    although they are particles, they can behave as waves) and show how to determine:
    • Crystal Structure
    • Miller Index Planes and Determine the Structure
    • Identify cell symmetry

Learning Objective

  • Know and utilize the results of diffraction pattern to get:
    • lattice constant
    • allow computation of densities for close-packed structures
    • Identify cell symmetry
    • Specify directions and planes for crystals and be able to relate
      to characterization experiments


  • SIMPLE Diffraction in Crystals and Polycrystals
  • Diffraction by Planes of Atoms
  • Diffraction Experiment and Signal
  • Crystal Structure and Planar Distances
  • Allowed (hkl) in FCC and BCC for principal scattering (n=1)
  • Diffraction of Single 2D Crystal Grain
  • Diffraction of Multiple Single 2D Crystal Grains (powders)
  • Example from Graphite
  • Example from Aluminum
  • Example from QuasiCrystals

Tags, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.