4.6 X-Ray Diffraction

Bragg's law for X-rays scattering off crystal planes, and how the resulting pattern reveals atomic spacings and molecular structure.

University Physics Volume 3, 4.6 X-Ray Diffraction

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5 exercises

4.6 Exercise 1

For the experiment described in the example, what are the two other angles where interference maxima may be observed? What limits the number of maxima?

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4.6 Exercise 2

Crystal lattices can be examined with X-rays but not UV. Why?

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4.6 Exercise 4

A first-order Bragg reflection maximum is observed when a monochromatic X-ray of a crystal whose atoms form planes separated by 0.112 nm at a $32.3 °$ angle to a reflecting plane. What is the wavelength of this X-ray?

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4.6 Exercise 6

The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?

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4.6 Exercise 8

Calcite crystals contain scattering planes separated by 0.30 nm. What is the angular separation between first and second-order diffraction maxima when X-rays of 0.130 nm wavelength are used?

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