De Broglie Wavelength CalculatorFormula

## 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.

Exemplo Resolvido

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

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