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  • The wavelength of the X-rays is 0.071 nm which is diffracted by a plane of salt with 0.28 nm as the lattice constant. Determine the glancing angle for the second-order diffraction. Assume

The wavelength of the X-rays is 0.071 nm which is diffracted by a plane of salt with 0.28 nm as the lattice constant. Determine the glancing angle for the second-order diffraction. Assume the value of the salt plane to be 110, and the given salt is rock salt.

 

Option: 1

27.2^{\circ}


Option: 2

21^o


Option: 3

39.1^{\circ}


Option: 4

45.0^{\circ}


Answers (1)

best_answer

 The wavelength of the-rays =0.071 nm
Lattice constant =0.28 nm
Plane =110
Order of diffraction =2
Glancing angle =?
Using Bragg's law:

2 d \sin \theta=n \lambda

Rock salt has FCC, therefore,

d=\frac{a}{\sqrt{h^2+k^2+l^2}}
Substituting the values,

d=\frac{0.28 \times 10^{-9}}{\sqrt{1^2+1^2+0^2}}=\frac{0.28 \times 10^{-9}}{\sqrt{2}} m
Substituting in Bragg's equation,

\theta=21^{\circ}

Posted by

Sayak

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