The de Broglie equation describes the wave-like nature of particles. It was proposed by physicist Louis de Broglie in 1924. According to de Broglie, every particle, like electrons, protons, or even larger objects, has a wavelength associated with it. This wavelength is called the "de Broglie wavelength."
The equation is:
\[
\lambda = \frac{h}{p}
\]
Where:
- \(\lambda\) is the de Broglie wavelength (the wavelength associated with the particle).
- \(h\) is Planck's constant (\(6.626 \times 10^{-34}\) J·s).
- \(p\) is the momentum of the particle, which is the product of its mass and velocity: \(p = mv\), where \(m\) is the mass and \(v\) is the velocity of the particle.
This equation shows that the wavelength is inversely proportional to the momentum of the particle. For a particle with a large mass or high velocity, its wavelength will be very small and difficult to detect. However, for very small particles like electrons, the wavelength becomes noticeable and can affect how the particle behaves, leading to wave-like properties such as interference and diffraction.