De Broglie Wavelength Calculator

Calculate de Broglie wavelength: lambda = h / (m x v). h = 6.626 x 10^-34 J s.

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How to Use the De Broglie Wavelength Calculator

Enter the particle mass in kilograms and its velocity in m/s. For an electron, the mass is 9.109 x 10^-31 kg. The calculator applies lambda = h/(mv) where h = 6.626 x 10^-34 J s.

About the De Broglie Wavelength Calculator

Louis de Broglie proposed in 1924 that all matter exhibits wave-like properties. The de Broglie wavelength lambda = h/p (where p = mv is momentum) became a cornerstone of quantum mechanics. It explains electron diffraction, the structure of atoms, and the operation of electron microscopes.

Frequently Asked Questions

What is the de Broglie wavelength?

The de Broglie wavelength is the quantum mechanical wavelength associated with any moving particle. It is given by lambda = h/mv, where h is Planck's constant. All matter has wave properties, but the wavelength is only significant for very small particles like electrons.

Why is it important in chemistry?

The de Broglie wavelength explains why electrons in atoms have discrete energy levels. The electron must form a standing wave around the nucleus, which restricts the allowed wavelengths (and therefore energies) to specific values.

What mass should I use for an electron?

The rest mass of an electron is 9.109 x 10^-31 kg. For a proton, use 1.673 x 10^-27 kg. For a neutron, use 1.675 x 10^-27 kg. For macroscopic objects, the wavelength is unimaginably small.