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Tunnelling applications

Intermediate

Scanning tunnelling microscopes and nuclear fusion in stars.

Scanning tunnelling microscopes (current ∝ e^{−2κd} for atomic resolution), tunnel diodes, flash memory and fusion in the Sun.

Worked example

STM sees individual atoms.

Common mistake

Current is extremely sensitive to the gap.

In more detail

Tunnelling is used in devices such as scanning tunnelling microscopes, tunnel diodes and flash memory. It also drives processes such as nuclear fusion in stars.

Real-world uses

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Frequently asked questions

How does an STM work?

A tip is brought near a surface, and the tunnelling current depends sensitively on the distance.

Does tunnelling occur in the Sun?

Yes, protons tunnel through the Coulomb barrier to fuse in stellar cores.

Why is the current so sensitive to distance?

The tunnelling probability falls exponentially with the gap, so a tiny change in distance changes the current a lot.

Related topics in Quantum Mechanics

Free particle · Finite potential well · Quantum tunnelling · Alpha decay as tunnelling · Quantum harmonic oscillator · Zero point energy

← All Quantum Mechanics topics