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X-rays of wavelength 1.54Ã… strike a cry...

X-rays of wavelength 1.54Ã… strike a crystal and are observed to be deflected at an angle of `22.5^(@)` . Assuming that n=1 , calculate the spacing between the planes of atoms that are responsible for this reflection.

Text Solution

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Applying Bragg's equation,
`nlambda=2d sin theta`
Given, `n=1, lambda = 1.54 Ã…, theta =22.5^(@)`.
Using relation `nlambda=2d sin theta`,
`d=(1.54)/(2 sin 22.5^(@))=(1.54)/(2xx0.383)=2.01Ã…`.
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