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PRACTICE / Characteristic and continuous X-ray spectra

The detector reports twice the glancing angle

Monochromatic X-rays of wavelength 0.180 nm give a first-order reflection at an instrument setting labelled 2θ = 60°.

What is the spacing d of the reflecting crystal planes?

Organize the givens & assumptions
  • λ = 0.180 nm
  • First order n = 1
  • Recorded scattering angle 2θ = 60°

Elastic scattering from parallel planes; θ is measured from a plane; use Bragg geometry only.

  1. A0.360 nm0.360\ \mathrm{nm}
  2. B0.090 nm0.090\ \mathrm{nm}
  3. C0.180 nm0.180\ \mathrm{nm}
  4. D0.104 nm0.104\ \mathrm{nm}

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