Chapter 11.5, Problem 2RCF

Interpretation Introduction

Interpretation:

The distance between the layers in a crystal has to be calculated.

Concept Introduction:

X-ray diffraction:

It is the technique used to study about the crystal structures. In this technique, X-rays are scattered from unit cells of the crystalline solids. The scattering of X-ray gives the information about the arrangement of particles in the solid lattice.

The distance between the layers in a crystal can be calculated from the Bragg’s equation:

Bragg’s equation: $\text{nλ}\text{=}\text{2d}\text{sinθ}$

  $\text{d}\text{=}\frac{\text{nλ}}{\text{2}\text{sin}\text{θ}}$

Here,

$\text{d}$ is the distance between the adjacent planes (interplanar distance)

$\text{λ}$ is wavelength of X rays

$\text{n}$ is 1,2,3…. order of diffraction

$\text{θ}$ is scattering angle.