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.

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计算器: Bragg's Law.

2026年10月15日

使用计算器: Bragg's Law，根据输入获得清晰实用的结果。

此计算器尚未完全翻译——部分文本以英文显示。

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输入数值

输入时结果会更新。

02 / 答案

Diffraction order

Wavelength

Lattice spacing

angleDegrees

22.64374°

sine

0.385

Results update automatically as you type.

Cite this calculator

Canonical URL: https://mathify.one/zh/physics/braggs-law

Updated 2026年10月15日

Cite as: Mathify. (2026). 计算器: Bragg's Law. https://mathify.one/zh/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