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The first order reflection of a beam of ...

The first order reflection of a beam of X-rays of wavelength 1.54 Ã… from the (100) face of a crystal of the simple cubic type occurs at an angle of `11.29^(@)` . Calculate the length of the unit cell.

Text Solution

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Applying Bragg's equation, `2dsin theta =nlambda`
Given , `theta=11.29^(@), n=1, lambda=1.54 Ã… =1.54 xx10^(-8) cm`
`d=(1.54xx10^(-8))/(2xxsin11.29^(@))=(1.54xx10^(-8))/(2xx0.1957)=3.93xx10^(-8) cm`
`d_("hkl")=(a)/(sqrt(h^(2)+k^(2)+l^(2)))=a`
`a=3.93xx10^(-8)cm`= length of the unit cell
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