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X-ray Diffraction (XRD)

X-ray Diffraction (XRD) What is X-ray Diffraction Basics of Crystallography Production of X-rays Applications of XRD Instrumental Sources of Error ConclusionsEnglish physicists Sir Bragg and his son Sir Bragg developed a relationship in 1913 to explain why the cleavage faces of crystals appear to reflect X-ray beams at certain angles of incidence (theta, ). The variable dis the distance between atomic layers in a crystal, and the variable lambda is the wavelengthof the incident X-ray beam; n is an integer. This observation is an example of X-ray wave interference(Roentgenstrahlinterferenzen ), commonly known as X-ray Diffraction (XRD), and was direct evidence for the periodic atomic structure of crystals postulated for several =2dsin Bragg s LawAlthough Bragg's law was used to explain the interference pattern of X-rays scattered by crystals, Diffraction has been developed to study the structure of all states of matter with any beam, ,ions, electrons, neutrons, and protons, with a wavelength similar to the distance between the atomic or molecular structures of =2dsin Bragg s LawThe Braggs were awarded the Nobel Prize in physics in 1915 for their work in determining crystal structures beginning with NaCl, ZnS and Bragg s Law: n = 2dsin X-ray 1X-ray 2

• To determine structural properties: Lattice parameters (10-4Å), strain, grain size, expitaxy, phase composition, preferred orientation (Laue) order-disorder transformation, thermal expansion • To measure thickness of thin films and multi-layers* • To determine atomic arrangement • Detection limits: ~3% in a two phase mixture; can be

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