When an x-ray beam is scattered off the planes of a crystal, the scattered beam

Question

When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: The angle of incidence has to be equal to the angle of reflection. Part A An x-ray beam with wavelength 0.250 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 21.0 degree. What is the spacing d between the planes of the crystal? Part B Find the angle theta_2 at which you will find a second maximum.

Explanation / Answer

2*d*sintheta = m*lambda

theta = 21 degree

lambda = 0.250 nm

m = 1

d = 0.3488 nm

part b )

m = 2

2*d*sintheta = m * lambda

theta = 45.8 degree

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