The distance between planes of ions parallel to the face of the unit cell of sodium chloride is $282 p m$ . The smallest angle of reflection observed in the X-ray diffraction pattern is ${4.97}^{\circ}$ . Calculate the wavelength of the incident radiation.

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Solution

Using Bragg's equation,
$n λ = 2 d sin θ$
$1 \times λ = 2 \times 282 \times 10^{- 12} sin 5.97$
$λ = 5.86 \times 10^{- 11} m = 58.6 p m$

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