1. Tardigrade
  2. Question
  3. Chemistry
  4. Silver crystallizes in face-centered cubic structure. The 2nd order diffraction angle of a beam of X-ray (λ=1 mathringA ) of crystal is 30. Therefore, the distance between the plane would be

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Q. Silver crystallizes in face-centered cubic structure. The $2nd$ order diffraction angle of a beam of X-ray $\left(\lambda=1 \mathring{A} \right)$ of crystal is $30$. Therefore, the distance between the plane would be

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Solution:

Using Bragg equation, $n \lambda=2d\,sin\,\theta$
$d=\frac{n \lambda}{2 \,sin\,\theta}=\frac{(2) (1)}{(2) sin\,30^{\circ}}$
$d=\frac{1}{1/2}=2\, \mathring{A}$