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

ID: 2121912 • Letter: W

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:

2dcos(%u03B8)=m%u03BBfor m=1,2,%u2026.

The path difference 2dcos(%u03B8) can be determined from the diagram (Figure 1) . The second condition is k

nown as the Bragg condition.


Part A:




Part B:

Find the angle %u03B82 at which you will find a second maximum (3 sig figs).




Explanation / Answer

2d sin theta = mL

d = 1*0.25nm/sin(90-66)

d= 0.153 nm

b. sintheta = mL/2d = 2*0.25/0.307

sin theta =1.69

theta = 1.69 that menas second maxima does not exixts

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