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Scherrer Equation

The Scherrer equation relates crystallite size to broadening of X-ray diffraction peaks, providing a method for estimating particle size.
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The statement of the theorem

Let τ\tau be the average crystallite size (in nm), λ\lambda be the X-ray wavelength, θ\theta be the Bragg angle (in radians), and β\beta be the peak broadening (in radians). The Scherrer equation provides an estimate for τ\tau based on the peak width β\beta via the relationship:\nτ≈Kλβcos⁡θ\tau \approx \frac{K\lambda}{\beta \cos\theta}
Source: Wikipedia