← Wave-particle duality and quantum states

Matter has duality too

Straight ripples reach a gap between two barriers in a ripple tank. What do the ripples do beyond the gap?

Jocasta aims a beam of electrons, not light, at a very thin crystal. Electrons are matter: each one has mass and charge. On the screen behind the crystal, a pattern of bright rings appears.

In the waves topic, you saw diffraction: a wave spreads out after passing through a gap or around an obstacle, and spreading waves can overlap into patterns. This lesson sends matter, not light, through that test.

A beam of electrons passes through a thin crystal. The crystal's regular rows of atoms act like a set of narrow gaps.

If electrons were only tiny balls, the screen would show a small bright patch in line with the beam.

electron beamthin crystalscreen
An electron beam meets a thin crystal, with a screen beyond.

The screen shows rings instead: bright rings around the beam's line, the kind of stable pattern that spreading, overlapping waves make.

The screen shows bright rings: a diffraction pattern, made by matter.

That is a diffraction pattern, made by matter.

a crystal with a different atom spacing
A different crystal spacing gives rings of different sizes. The pattern is still rings.
So matter particles such as electrons also show wave-particle duality: they behave like waves in some experiments.

An electron does not stop being matter. It still has mass and charge. Wave-particle duality means the wave picture is needed to explain some of its behavior.

Light is not the odd one out. Light and matter both show wave-particle duality, and the next lessons build on that.

A beam of neutrons passes through a thin crystal, and the screen behind it shows a ring pattern. What does the result show about neutrons?

Rings around the beam's line are a diffraction pattern, the mark of spreading, overlapping waves.

Neutrons are matter particles: each one has mass.

A matter particle making a wave-only pattern is showing wave-particle duality.

Neutrons also show wave-particle duality: they behave like waves in some experiments.

Kenji expects the electron beam to leave one small bright patch behind the crystal. What does his expectation assume?

A small patch in line with the beam is what a stream of tiny balls would leave: each ball carries straight on through a gap.

The screen shows rings instead, the pattern of spreading, overlapping waves.

So the balls-only assumption fails for electrons.

Kenji's expectation assumes electrons only ever behave like tiny balls, and the ring pattern shows that assumption is wrong.

A beam of electrons passes through a thin crystal. What appears on the screen behind the crystal?

Which statement do electron-diffraction experiments support?

Kenji says: 'Wave-particle duality is not only for light. Matter particles such as electrons show it too.' Is Kenji correct?

Your turn

An electron beam at a thin crystal produces a ring pattern on a screen. Which statement says what this shows?

If electrons only ever behaved like tiny balls, what would the screen behind the thin crystal show?

A beam of helium atoms passing a fine grid also builds a spread, patterned arrangement on a detector. What does this show?