If is wave vector of incident X-ray and be the reciprocal lattice vector then condition for Bragg reflection is given by :

a)

b)

c)

d)

Correct answer is option 'B'. Can you explain this answer?

Question

If is wave vector of incident X-ray and be the reciprocal lattice vector then condition for Bragg reflection is given by :a)b)c)d)Correct answer is option 'B'. Can you explain this answer?

Answer

Correct Answer :- b

Explanation : Bragg reflection or diffraction occurs when light waves are incident on an ultrasonic wave with a comparable wavelength. The light is reflected in a specular fashion by the ultrasonic grating, and undergoes constructive interference in accordance with Bragg's law.

Let be the scattered wave vector, then from Ewald construction :

K' = K - G....(i)

Since, for elastic scattering, there will be no change in the magnitude of the vector i.e.

|K| = K' = 2pi/λ

Now squaring (i),

K² = K² + G² - 2K . G

G² = 2K . G

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