Answer:
The separation between layers of atoms in the crystal is 164.52 pm.
Explanation:
Formula used
[tex]n \lambda = 2d\sin \theta[/tex] (Bragg's law)
Where :
n = an order of reflection (integer)
[tex]\lambda [/tex] = wavelength of the beam incident X-ray
d = spacing between the layer
θ = incident angle ( angle between ray and scatter plane)
We have :
λ = 157 pm
θ = 28.5°
n = 1
d = ?
[tex]1\times 157 pm= 2d\sin (28.5^o)[/tex] (Bragg's law)
[tex]d=\frac{1\times 157 pm}{2\times \sin (28.5^o)}=164.52 pm[/tex]
The separation between layers of atoms in the crystal is 164.52 pm.
