Seeing Atoms Indirectly

Evidence from diffusion, Brownian motion and microscopes

Lesson 275 of 4,500 · Atoms and Molecules: First Look

Learning objectives

Introduction

Atoms are far too small to be seen with light, so how can scientists be so sure they exist? For most of history the answer was "by their effects". Just as you can know the wind is blowing by watching leaves move, chemists inferred atoms from the way matter behaves. Since the 1980s, special microscopes have gone further, producing images in which single atoms appear as bumps on a surface. This page looks at both kinds of evidence.

Core explanation

Evidence by inference. Scientists often cannot observe something directly, so they test predictions. If matter is made of tiny moving particles, certain effects should be seen. When those effects appear, the particle idea gains support.

Diffusion. A smell spreads across a room; a drop of coloured dye slowly spreads through still water. This spreading, called diffusion, happens without stirring. It is easily explained if substances are made of particles that are always moving randomly and mixing with the particles around them. Diffusion is faster in gases than in liquids and faster at higher temperatures, just as the particle model predicts.

Brownian motion. In 1827 the botanist Robert Brown looked through a microscope at tiny particles released from pollen grains suspended in water. They jiggled about constantly in a random, zig-zag way. The explanation is that the visible particles are being struck unevenly by invisible, fast-moving water molecules. In 1905 Albert Einstein produced a mathematical theory of this motion, and around 1908 Jean Perrin carried out careful measurements that matched Einstein's predictions and allowed him to estimate the size and number of molecules. Perrin's work convinced most remaining doubters that atoms and molecules were real.

Diffraction. When X-rays pass through a crystal they are scattered into a pattern of spots. The pattern shows that the crystal contains a regular, repeating arrangement of atoms, and it can be used to work out the distances between them.

Microscopes that "see" atoms. In 1981 Gerd Binnig and Heinrich Rohrer invented the scanning tunnelling microscope (STM). A metal tip sharpened to just one or a few atoms at its point moves across a conducting surface. A tiny electric current flows between tip and surface, and it changes sharply with distance. A computer turns these changes into a map in which individual atoms appear as bumps. The atomic force microscope (AFM), developed in 1986, works by feeling the tiny forces between a tip and the surface, so it can image non-conducting materials too. Some modern electron microscopes can also resolve individual atoms.

Still indirect. Even these images are not photographs taken with light. They are computer-built pictures of measured currents, forces or scattered electrons. They are, however, extremely strong evidence.

Step-by-step reasoning

How Brownian motion supports the particle model:

1. Observation: small visible particles in water move randomly and never stop. 2. Nothing visible is pushing them. 3. Inference: invisible particles of water must be moving and colliding with them. 4. Uneven collisions from different sides push the visible particle in random directions.

Visual explanation

Imagine a large beach ball on a crowded field being bumped by many unseen runners. From a distance you only see the ball lurching in random directions. That is Brownian motion: the ball is the visible particle, and the hidden runners are water molecules.

Real-world analogy

Detecting atoms indirectly is like knowing someone has walked across fresh snow because you see their footprints. You did not see the person, but the prints give clear, reliable evidence that they were there and even which way they went.

Real-world example

In 1989 researchers used an STM to move 35 xenon atoms one at a time on a cold nickel surface so that they spelled out a company's three-letter logo. It was one of the first demonstrations that people could not only image single atoms but position them deliberately.

Why?

Why do visible particles move in Brownian motion but large objects, such as a boat, do not? A tiny particle is hit by relatively few molecules at a time, so collisions from one side can briefly outweigh those from the other. A large object is hit by so many molecules that the pushes from all sides balance almost exactly.

Common misconception

"In Brownian motion we can see the water molecules moving." We cannot. We see the much larger suspended particles moving; the molecules themselves remain invisible. Their motion is inferred from their effect.

Worked example

Question: A student places a crystal of purple potassium manganate(VII) at the bottom of a beaker of still water. After an hour the purple colour has spread upwards. How does this support the idea of particles?

Reasoning: The colour spreads without stirring, so something must be moving by itself. If the solid dissolves into particles that move randomly, collisions will gradually spread them through the water, from where they are concentrated to where they are not.

Answer: It is diffusion, which is explained by randomly moving particles of solute and water mixing together.

Quick check

1. Who first described the random motion of tiny particles from pollen in water, and in which year? Answer: Robert Brown, in 1827.

Exam focus

When asked for evidence of particles, name the observation (diffusion or Brownian motion) and then explain it in terms of random particle movement and collisions. Mark schemes reward the phrase "collisions with fast-moving, invisible water molecules".

Advanced insight

Einstein showed that the average distance a Brownian particle wanders depends on temperature, the liquid's viscosity, the particle size and the Avogadro constant. By measuring the wandering, Perrin obtained a value for the Avogadro constant close to the modern one — an early measurement of how many particles are in a given amount of substance.

Summary

Atoms are too small to see with light, but strong evidence for them comes from diffusion, Brownian motion and X-ray diffraction. Einstein's theory and Perrin's measurements of Brownian motion convinced scientists that atoms are real. Scanning tunnelling and atomic force microscopes now produce computer images of individual atoms, though these are still indirect observations.

Practice questions

1. Define Brownian motion. Answer: The random, jerky movement of small visible particles in a fluid, caused by uneven collisions with invisible moving molecules. 2. Why does a smell spread through a room even when the air is still? Answer: The smell particles move randomly and collide with air particles, gradually spreading out by diffusion. 3. Explain how an STM produces an image of atoms. Answer: A very sharp tip scans a surface; the tiny current between tip and surface changes with distance, and a computer turns these changes into a map showing atoms as bumps. 4. Give one advantage of the AFM over the STM. Answer: The AFM measures forces rather than current, so it can image surfaces that do not conduct electricity.