How to use the x-ray bragg diffraction angle calculator
Find the angle at which X-rays reflect from crystal planes of a given spacing. Enter x-ray wavelength, lattice plane spacing, diffraction order in the fields above; the bragg angle, two-theta angle are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “Bragg law”, “X-ray diffraction angle”, “crystal plane spacing”, “calculate x-ray bragg diffraction angle”, “find bragg angle”.
Formula
Variables
- lam — X-ray wavelength (nm)
- d — Lattice plane spacing (nm)
- n — Diffraction order
Worked example
With x-ray wavelength = 0.154 nm, lattice plane spacing = 0.2 nm, diffraction order = 1, the calculator gives bragg angle ≈ 22.64374 °; two-theta angle ≈ 45.28748 °.
Frequently asked questions
What is the x-ray bragg diffraction angle calculator used for?
Find the angle at which X-rays reflect from crystal planes of a given spacing. It helps with questions such as “Bragg law”, “X-ray diffraction angle”, “crystal plane spacing”.
What is the formula for the x-ray bragg diffraction angle calculation?
Bragg angle (°) = asin(n × lam / (2 × d)). Two-theta angle (°) = 2 × [Bragg angle]. Here lam is x-ray wavelength (nm), d is lattice plane spacing (nm), n is diffraction order.
What inputs do I need for the x-ray bragg diffraction angle calculator?
You need x-ray wavelength in nm, lattice plane spacing in nm, diffraction order. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the x-ray bragg diffraction angle calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the x-ray bragg diffraction angle result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.