Physics
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Bragg's Law Calculator.
Calculate diffraction angle from order, wavelength, and lattice spacing.
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Results update as you type.
Results update automatically as you type.
FAQs
What does the bragg's law calculator assume?
Calculate diffraction angle from order, wavelength, and lattice spacing. The result is an educational calculation using the stated idealized model; verify engineering or experimental decisions against applicable standards.
Related Calculators
Cite this calculator
Canonical URL: https://mathify.one/en/physics/braggs-law
Cite as: Mathify. (2026). Bragg's Law Calculator. https://mathify.one/en/physics/braggs-law
Use Cases
X-ray diffraction analysis
Determine the diffraction angle for a given crystal plane and X-ray wavelength, useful for identifying crystal structures and phases.
Example: For n=1, λ=0.154 nm, d=0.2 nm, the angle is about 22.6°.
Education and lab exercises
Quickly verify Bragg's Law calculations in physics or materials science coursework, helping students understand diffraction principles.
Example: Check the angle for n=2, λ=0.1 nm, d=0.3 nm.
Frequently Asked Questions
- What is Bragg's Law and how does this calculator work?
- Bragg's Law relates the diffraction angle (θ) to the order of reflection (n), the wavelength of incident waves (λ), and the lattice spacing (d) in a crystal: nλ = 2d sinθ. This calculator uses your inputs for order, wavelength (nm), and lattice spacing (nm) to compute the diffraction angle in degrees.
- What units are used for wavelength and lattice spacing?
- Both wavelength and lattice spacing are entered in nanometers (nm). Ensure both are in the same unit for accurate results. The calculator outputs the diffraction angle in degrees.
- Can I use this calculator for any type of wave?
- Yes, Bragg's Law applies to any wave that can be diffracted by a periodic structure, such as X-rays, neutrons, or electrons. As long as you input the correct wavelength and lattice spacing in nanometers, the calculator will compute the diffraction angle.
Tips & Common Mistakes
Tips
- Ensure the diffraction order (n) is a positive integer (1, 2, 3, ...).
- Use consistent units: both wavelength and lattice spacing must be in nanometers.
- The sine of the angle cannot exceed 1; if the result is invalid, check your inputs.
- For higher orders, the angle increases, but the sine must remain ≤1.
Common Mistakes to Avoid
- Forgetting to convert units to nanometers; using different units for wavelength and spacing leads to errors.
- Entering a non-integer or zero for the diffraction order, which is not physically meaningful.
- Assuming the calculator gives the angle in radians; it outputs degrees.
Last updated: August 13, 2026