Diffraction angle 2θ and d resolution

About the calculator

The calculator calculates d-spacings, diffraction angles (2θ), and d-spacing resolution (Δd/d) corresponding to the given Δ2θ for various diffraction indexes (h, k, l) using a given wavelength.

How to use it

1. Select an X-ray wavelength
2. Enter the lattice parameters
3. Enter the 2θ resolution Δ2θ (e.g., 1/20 to 1/10 of the full width at half maximum)
4. Initialize or manually enter the diffraction indexes

Theory

See this page for the d-spacings and diffraction angles (2θ) calculation.

https://resources.rigaku.com/dev/calculator/2-theta-and-alpha?hs_preview=SYinpdwH-193138883610

The d-spacing resolution Δd/d is calculated as follows:

\(\frac{\Delta d}{d} = -\frac{\Delta(2\theta)}{2\tan\theta}\)