# De Broglie Wavelength Formula

## De Broglie Wavelength Formula

At the subatomic level, the quantum theory posits matter to be both a wave and a particle. According to the De Broglie equation, any moving particle can operate as both a wave and a particle. The wave associated with moving particles is known as the matter-wave, as well as the De Broglie wave. The De Broglie wavelength is the name given to this wavelength.

For an electron, the De Broglie Wavelength Formula   is:

The De Broglie Wavelength Formula  λ= Hmv

λ points to the wave of the electron in question

H is the mass of the electron

V is the velocity of the electron

Mv is the momentum that is formed as a result

The De Broglie Wavelength Formula is discovered to function and apply to all forms of matter in the cosmos, i.e., everything in the universe, from living beings to inanimate objects, has wave-particle duality.

### De Broglie Wavelength Formula

De Broglie had not proven the soundness of his idea on his own; it was only a hypothetical assumption before being investigated, and it was discovered as a result that all substances in the universe contain wave-particle duality. A variety of experiments were carried out using Fresnel diffraction and specular reflection of neutral atoms. These investigations validated De Broglie’s assertions and confirmed his hypothesis. Some of his students carried out these trials.

### Introduction to the concept

In 1923, Louis-de-Broglie presented the notion of De-Broglie waves, which were later tested with and proven by Davisson and Germer in 1927. These waves describe the nature of the particle-related wave. Another variation of the  De Broglie Wavelength Formula exists for particles having mass, such as electrons, protons, and so on, but not for photons. At non-relativistic speeds, a particle’s momentum is equal to its rest mass m multiplied by its velocity v. The de Broglie wavelength is measured in metres. Due to the fact that it is so tiny, it is measured in nanometers.

### Formula for De Broglie Wavelength:

Matter waves are at the heart of quantum mechanics theory. Wave-like behaviour may be observed in any substance. The idea that matter acts like a wave In 1924, a French scientist called Louis de Broglie presented this hypothesis. The De Broglie theory is another name for it. De Broglie waves are another name for matter waves. The De Broglie wavelength is indicated by, it is connected with a heavy particle, and it is related to its momentum, marked by p, via the Planck constant, denoted by h

The De Broglie Wavelength Formula λ = hp

### Solved Examples

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