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Калькулятор: Bragg's Law.
Используйте Калькулятор: Bragg's Law, чтобы получить понятный и практичный результат по введённым данным.
Этот калькулятор пока переведён не полностью — часть текста отображается на английском.
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Результаты обновляются во время ввода.
Results update automatically as you type.
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Cite this calculator
Canonical URL: https://mathify.one/ru/physics/braggs-law
Cite as: Mathify. (2026). Калькулятор: Bragg's Law. https://mathify.one/ru/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