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683.


Problem 47.31 (RHK)


A beam of x rays of wavelength 29.3 pm is incident on a calcite crystal of lattice spacing 0.313 nm. We have to find the smallest angle between the crystal planes and the beam that will result in constructive reflection of the x rays.


Solution:           Click For PDF Version

The Bragg’ law for crystal diffraction is

where d is the lattice spacing.

It is given that

,

and

Therefore, the smallest angle between the crystal planes and the beam that will result in constructive interference will be