Calcolatore De Broglie

Calcola la lunghezza d'onda di De Broglie per elettroni e altre particelle.

kg
m/s

De Broglie Wavelength

0.000000000727412 m

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

Formula

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.

    Esempio Risolto

    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

    Domande Frequenti

    Can macroscopic objects have a de Broglie wavelength?

    Technically yes, but it is negligibly small. A 1 kg ball at 1 m/s has a wavelength of about 6.6 x 10^-34 m, far too tiny to ever detect.

    How is the de Broglie wavelength measured?

    By diffraction experiments. Electrons scattered off crystal lattices produce interference patterns consistent with their predicted wavelength.

    Why is this important for electron microscopes?

    Electron wavelengths at high energies are much shorter than visible light, allowing electron microscopes to resolve atomic-scale features.

    Impara

    Understanding Newton's Laws of Motion

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