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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

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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

Cite this work

Researchers should cite this work as follows:

  • Duane Douglas Johnson; Omar N Sobh (2008), "Illinois MATSE 280 Introduction to Engineering Materials, Lecture 3 Part 4: Structures via Diffusion,"

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