11th class Chemistry - Louis.de Broglie Relationship

11th Class Online Chemistry Notes - Louis.de Broglie Relationship

The de Broglie equation relates a moving particle’s wavelength with its momentum. The de Broglie wavelength is the wavelength, λ, associated with a massive particle and is related to its momentum, p, through the Planck constant, h: In other words, we can say that matter also behaves like waves. De Broglie proposed that just as light has both wave-like and particle-like properties, electrons also have wave-like properties. By rearranging the momentum equation stated in the above section, we find a relationship between the wavelength associated with an electron and its momentum through the Planck constant.

According to L. de Broglie, the wavelength λ of a particle of mass m and velocity u is given by the relation:

λ = h/mu

Where h is Planck’s constant and mu is the momentum of the particle.

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Derivation of de Broglie’s equation

The relation between the particle nature and wave nature of electron is known as de Broglie equation. According to Planck, the energy of a quantum of radiation is given by:

E= hν…………………………….(1)

According to Einstein, mass and energy are related as:

E= mc2……………………………(2)

Where c is the velocity of light

Combining these two equations, we have:

hν = mc2

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