Free De Broglie Wavelength Calculator

Calculate the de Broglie wavelength of a particle from its momentum: lambda = h / (m * v), where h is Planck's constant.

kg
m/s

De Broglie Wavelength

0.000000000727412 m

Wavelength (nm)0.727412 nm
Wavelength (pm)727.4124 pm

De Broglie Wavelength

Louis de Broglie proposed that all matter has wave-like properties, with a wavelength inversely proportional to momentum.

Formula

lambda = h / p = h / (m v)

  • *h* = 6.626 x 10^-34 J s (Planck constant)
  • *m* = particle mass
  • *v* = particle velocity
  • This wavelength is measurable for electrons and neutrons, and is the basis of electron microscopy.

    Example Calculation

    Electron (m = 9.109e-31 kg) at v = 1e6 m/s.

    1. 01lambda = h / (m v)
    2. 02p = 9.109e-31 * 1e6 = 9.109e-25 kg m/s
    3. 03lambda = 6.626e-34 / 9.109e-25
    4. 04lambda = 7.274e-10 m = 0.727 nm

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