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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.
Watch animated videos on the same for a detailed explanation by clicking Chemistry notes Class 11.
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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