Physics

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Compton Wavelength Calculator.

Calculate a particle's Compton wavelength from its rest mass.

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This page applies only the stated idealized equation and explicit inputs; verify specialized engineering, medical, or safety decisions against applicable standards.

Use Cases

Quantum Physics Education

Helps students and educators quickly compute Compton wavelengths for various particles to understand wave-particle duality and quantum scale.

Example: Find the Compton wavelength of an electron (mass 9.11 × 10⁻³¹ kg).

Particle Physics Research

Assists researchers in estimating the Compton wavelength of particles to compare with experimental data or theoretical models.

Example: Calculate the Compton wavelength of a proton (mass 1.67 × 10⁻²⁷ kg).

Frequently Asked Questions

What is the Compton wavelength of a particle?
The Compton wavelength is a quantum mechanical property of a particle. It is the wavelength of a photon whose energy equals the rest energy of the particle (E=mc²). It is calculated using the formula λ = h/(mc), where h is Planck's constant, m is the particle's rest mass, and c is the speed of light.
How do I use this calculator?
Simply enter the particle's rest mass in kilograms (kg) into the 'Particle rest mass' field. The calculator will then compute the corresponding Compton wavelength using the standard formula. Ensure the mass is in kilograms for accurate results.
What is the unit of the result?
The result is the Compton wavelength, which is typically expressed in meters (m). For example, the Compton wavelength of an electron is about 2.43 × 10⁻¹² meters. The calculator provides the value in meters based on the mass input in kilograms.

Tips & Common Mistakes

Tips

  • Ensure the rest mass is entered in kilograms (kg). If you have mass in other units, convert to kg first.
  • The Compton wavelength is inversely proportional to mass: heavier particles have shorter wavelengths.
  • Use this calculator for rest mass only; for moving particles, the de Broglie wavelength is different.
  • Remember that the Compton wavelength is a fundamental constant for each particle, often used in quantum electrodynamics.

Common Mistakes to Avoid

  • Forgetting to convert mass to kilograms. For example, using grams instead of kg will give a wavelength 1000 times too large.
  • Confusing Compton wavelength with de Broglie wavelength. The Compton wavelength is independent of velocity, while de Broglie wavelength depends on momentum.
  • Entering the mass of a composite object instead of a single particle. The formula applies to elementary particles or systems where the rest mass is well-defined.

Last updated: August 13, 2026