The Scherrer formula is a widely used equation in X-ray diffraction studies to estimate the size of crystallites in a material. The formula relates the size of the crystallites to the broadening of the X-ray diffraction peak, which occurs due to the finite size of the crystallites and the presence of lattice strain. The Scherrer formula is particularly useful for materials with nanoscale crystallites.
The formula to calculate the crystal size is:
\[ D = \frac{K \cdot \lambda}{\beta \cdot \cos(\theta)} \]
Where:
Let's assume the following values:
Using the formula:
\[ D = \frac{0.9 \cdot 1.54}{0.01 \cdot \cos(30^\circ)} = \frac{1.386}{0.01 \cdot 0.866} = \frac{1.386}{0.00866} = 160.04 \text{ Å} \]
The crystal size is 160.04 Å.
