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Calculate Bragg angle if (200) planes of a BCC crystal with lattice parameter 2.814Å give second order reflection with X-rays of wavelength 0.71Å.
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For plane (200):

d=ah2+k2+l2

d=2.814×101022+0+0

d=2.814×10102

d=1.407×1010 m

 

Using Bragg's law

nλ=2dsinθ

sinθ=nλ2d

sinθ=2×0.71×10102×1.407×1010

sinθ=0.5046

θ=sin10.5046

θ=30.31

 

∴ Bragg's angle is 30.30°

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