The matter is a particle and also a wave. In 1920, a young physicist named Louis de Broglie made a radical suggestion that since light has both a particle and wave nature then matter has a wave nature too. Now, that’s something very difficult to wrap your head around. In this article, we will learn about the wave nature of the matter.

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## Wave Nature of Matter

## De Broglie’s Equation

### Heisenberg’s Uncertainty

The Davisson-Germer experiment proved beyond doubt the wave nature of matter by diffracting electrons through a crystal. In 1929, de Broglie was awarded the Nobel Prize for his matter wave theory and for opening up a whole new field of Quantum Physics. The matter-wave theory was gracefully incorporated by Heisenberg’s Uncertainty Principle. The Uncertainty Principle states that for an electron or any other particle, both the momentum and position cannot be known accurately at the same time. There is always some uncertainty with either the position ‘delta x’ or with the momentum, ‘delta p’.

#### Heisenberg’s Uncertainty Equation:

Say you measure the momentum of the particle accurately so that ‘delta p (Δp)’ is zero. To satisfy the equation above, the uncertainty in the position of the particle, ‘delta x (Δx)’ has to be infinite. From de Broglie’s equation, we know that a particle with a definite momentum has a definite wavelength ‘Lambda’. A definite wavelength extends all over space all the way to infinity. By Born’s Probability Interpretation this means that the particle is not localized in space and therefore the uncertainty of position becomes infinite.

In real life though, the wavelengths have a finite boundary and are not infinite and thus both the position and momentum uncertainties have a finite value. De Broglie’s equation and Heisenberg’s Uncertainty Principle are apples of the same tree.

## Frequently Asked Questions – FAQs

### What is de Broglie Equation?

### What is the formula to find the de Broglie wavelength?

### Give the Heisenberg’s Uncertainty Equation.

### State true or false: de Broglie was awarded the Nobel Prize for his matter wave theory.

### Does microscopic particle-like electrons possess dual nature property.?

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