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Quantum TunnelingHow particles pass through barriers

Quantum tunneling is a physical process where a particle passes directly through an energy barrier it lacks the energy to climb over. Because subatomic particles behave like probability waves rather than solid objects, part of their wave function can appear on the far side of a barrier. This probability allows particles like electrons and protons to cross physical and electrical obstacles that classical physics would call impassable.

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Quantum Tunneling lesson Play the 60-second lessonAn electron is a wave that leaks a little way into a wall it can't climb, so it sometimes turns up on the far side. That is how the Sun burns.

The ghost in the machine

Imagine throwing a tennis ball at a brick wall. It bounces back every time. But at the subatomic scale, particles do not act like solid balls. They act like fuzzy clouds of probability.

Grid of probability density plots illustrating hydrogen wave functions at different energy levels, labeled with quantum numbers (n, l, m). The plots show varying orbital shapes and densities, with a color scale indicating positive (+) and negative (-) probability density, and the mathematical formula for the hydrogen wave function is displayed.
Grid of probability density plots illustrating hydrogen wave functions at different energy levels, labeled with quantum numbers (n, l, m). PoorLeno (talk), Public domain, via Wikimedia Commons

This means there is a non-zero chance the particle simply appears on the other side of the barrier. It tunnels through.

Why the sun shines

The core of the sun is hot, but not hot enough to force two hydrogen atoms to fuse. They should repel each other like magnets. They only fuse because they quantum tunnel through the electrical barrier that should keep them apart.

An artist's impression comparing the internal structure of the Sun (labeled "Solar Type" on the left) and its possible future as a red giant (on the right). The Sun shows a "Radiative Zone", "Core", and "Convective Zone", while the red giant shows a "Core" and "Burning Shell"; an inset at the bottom right shows a size comparison with a scale of "200 Earth Radii".
An artist's impression comparing the internal structure of the Sun (labeled "Solar Type" on the left) and its possible future as a red giant (on the right). ESO, CC BY 4.0, via Wikimedia Commons

Without this constant cheating, the sun would just be a cold, dark rock.

Seeing the invisible

We even use this glitch to see atoms. A scanning tunneling microscope brings a sharp needle incredibly close to a surface.

An atomic resolution scanning tunneling microscope image shows the reconstruction on a clean (100) surface of gold. The image displays a pattern of parallel ridges and valleys, indicating atomic-scale surface reconstruction.
An atomic resolution scanning tunneling microscope image shows the reconstruction on a clean (100) surface of gold. Erwinrossen, Public domain, via Wikimedia Commons

Electrons jump from the sample to the needle, creating a current that maps the atomic landscape.

How quantum tunneling works

A particle's position and behavior are described by a mathematical wave function rather than a fixed trajectory. When this wave packet encounters a short, narrow potential barrier, the wave does not entirely bounce off. Part of it penetrates and emerges on the other side.

A graph simulating a wave packet incident on a potential barrier, illustrating quantum tunneling. The Y-axis represents psi, V, E, and the X-axis represents x, with curves for real(psi) (blue), imag(psi) (red), V(x) (green), and E range (grey lines). The barrier energy V(x) is 20, and the mean wave packet energy is 14.
This simulation shows a wave packet hitting a barrier with energy higher than its own, allowing a portion of the wave to transmit directly through. Becarlson, CC BY-SA 4.0, via Wikimedia Commons

The likelihood that a particle makes it across falls exponentially as the barrier gets thicker, the barrier energy rises, and the particle's mass increases. Because light particles cross narrow gaps far more easily, tunneling appears most often in low-mass particles like electrons, though researchers have observed it in protons and entire atoms as well.

Everyday technologies that rely on tunneling

Tunneling makes modern electronics work while simultaneously setting their physical boundaries. Flash memory chips and tunnel diodes depend on electrons crossing barriers to store data and control electrical current. Scanning tunneling microscopes pass an electric current through the gap between a needle and a surface to map individual atoms.

The effect also creates a hard limit for computer chips. When insulating layers and transistors are manufactured thinner than roughly one nanometer, electrons begin tunneling through them on their own, causing electrical leakage.

Test yourself

In quantum tunneling, what lets a particle cross a barrier it cannot climb over?

Its wave-like behavior gives it a chance to appear beyond it. A particle’s wave-like nature gives it a nonzero chance of being found beyond the barrier, even without enough energy to surmount it.

How does a scanning tunneling microscope use quantum tunneling to map a surface?

It measures electron current between a nearby tip and the sample. Electrons tunnel between the sample and a very nearby tip; changes in current reveal the surface’s atomic landscape.

Why can a subatomic particle pass through a solid barrier it lacks the energy to climb over?

It exists as a probability wave. Subatomic particles aren't solid dots; their positions are fuzzy probability clouds. There is always a non-zero chance they simply materialize on the other side.

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Questions people ask

What natural processes require quantum tunneling?

Nuclear fusion in stars depends on hydrogen nuclei tunneling through their mutual electrical repulsion to fuse together. Alpha radioactive decay in unstable atomic nuclei also occurs because alpha particles tunnel out of the confining nuclear potential barrier.

Can light waves experience tunneling?

Yes. An optical analog called frustrated total internal reflection occurs when light reflects inside a prism and a second prism is placed within a few wavelengths of the surface, causing some light to cross the narrow gap.

Who first discovered quantum tunneling?

Friedrich Hund first applied the Schrödinger equation to a barrier problem in 1927. Leonid Mandelstam and Mikhail Leontovich discovered it independently in 1928, the same year George Gamow, Ronald Gurney, and Edward Condon used it to explain alpha decay.

Part of the Set · 8 cards

How Quantum Physics Actually Works

Fire electrons at two slits one at a time, and they still paint stripes that no single particle should.

  1. Schrödinger's Cat
  2. Double-Slit Experiment
  3. Wave-Particle Duality
  4. Quantum Superposition
  5. Heisenberg's Uncertainty Principle
  6. Quantum TunnelingReading now
  7. Quantum Entanglement
  8. Quantum Computer
Learn the whole Set

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