In 1905, Albert Einstein proposed that light can behave both as a wave and as a particle, implying that it has a dual character. The French physicist Louis de Broglie suggested (1924) a hypothesis to explain the theory of atomic structure, and is therefore the hypothesis is also referred to as the de Broglie hypothesis. The de Broglie hypothesis states that **any moving particle/object is associated with both the wave properties as well as particle properties**. Later on, Davisson and Germer proved the hypothesis experimentally while studying the diffraction of electrons.

## de Broglie Equation Definition

According to de Broglie equation/hypothesis, “**a matter particle in motion is also associated with waves**.” In other words, any moving microscopic or macroscopic particle will be associated with a wave character. Such waves are also called matter waves or de Broglie waves. de Broglie equation is basically used to define the wave properties of matter/electron. Thus, the matter particle-like electrons show dual character i.e. it behaves like a particle as well as a wave.

According to de-Broglie, the particle with wavelength and mass ‘m’ moving with velocity ‘v’ is represented by the relation:

## de Broglie wave equation derivation

## de Broglie equation significance

The de-Broglie equation is significant only for sub-microscopic objects in the range of atoms, molecules, or smaller sub-atomic particles. The wave nature of matter, on the other hand, has no meaning for ordinary-sized objects because the wavelength of the wave associated with them is too small to detect.

## de Broglie Hypothesis video

## FAQs/MCQs

### What is h in de broglie equation?

h in de Broglie equation is Planck’s constant having a value of 6.62607 x 10^{-34} J s

### What is the significance of de Broglie equation?

The de-Broglie equation is significant only for sub-microscopic particles that are in the range of atoms, molecules, or smaller sub-atomic particles.

### Derive de Broglie equation for microscopic particle.

According to de Broglie equation/hypothesis, “**a matter particle in motion is also associated with waves.”**