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Atlas / Physics / The Nuclear Thread

Field · Emerged 1896 – 1911

Radioactivity

Why do some atoms give off energy on their own, and what happens to them when they do?

5 chapters5 min read6 turning points1 open problem

Branched from
Electromagnetism
Branched into
Nuclear Structure + Radiometric Dating
Figures
Henri Becquerel, Pierre Curie, Marie Curie, Ernest Rutherford, Frederick Soddy, Harriet Brooks, Hans Geiger, John Mitchell Nuttall

In brief

Radioactivity is the spontaneous emission of radiation by unstable atoms. A lump of uranium or radium gives off rays and heat for thousands or billions of years, with no fuel and no visible change. Each emission turns an atom of one element into an atom of another, and when any single atom will do so is a matter of pure chance.

It was found by accident in 1896, in the rush of experiments that followed the discovery of X-rays. Within fifteen years it had overturned two old certainties: that atoms are unchangeable, and that the Earth and Sun could be only tens of millions of years old. It gave physics its first probe of the inside of the atom, and the nuclear physics of the twentieth century grew directly out of it.

Key ideas

RadioactivityEnters 1898

Marie Curie's name for the property of giving off rays spontaneously. She showed it belongs to atoms themselves, whatever chemical compound they sit in.

Alpha, beta and gamma raysEnters 1899 – 1903

The three kinds of radiation, named by how easily they are stopped. Alpha rays are helium nuclei, stopped by paper. Beta rays are fast electrons. Gamma rays are very short-wavelength light.

TransmutationEnters 1901 – 1903

A radioactive atom changes into an atom of a different element when it decays. The alchemists' dream happens by itself, one atom at a time.

Half-lifeEnters 1901 – 1903

The time for half of any sample of a radioactive substance to decay. It is fixed for each substance, from fractions of a microsecond to billions of years, and nothing done to the sample changes it.

Geiger–Nuttall lawEnters 1911

Alpha emitters that release more energetic particles have much shorter half-lives. A doubling of the energy shortens the half-life by a factor of more than 102010^{20}.

Chapter I

Rays From Nowhere

In January 1896 the world learned of Röntgen's X-rays, invisible rays from the glowing glass of a cathode-ray tube that passed through flesh and fogged photographic plates. Henri Becquerel, an expert on minerals that glow after exposure to light, wondered whether they emit X-rays too. He wrapped photographic plates in black paper, laid uranium salts on top, and set them in the sun. The plates were fogged. Then a spell of cloudy weather stopped the experiment. He developed the plates anyway, expecting faint images, and found them strongly fogged. The uranium needed no sunlight. It emitted rays of its own, day after day, from no visible source of energy.

The rays made air conduct electricity, a legacy of electromagnetism that gave the best way to measure them. Marie Curie, a doctoral student in Paris, used an electrometer designed by Pierre Curie and his brother Jacques. She found that the strength of the rays depended only on how much uranium a sample held, whatever its chemical form, so the emission came from inside the atoms. Thorium did the same. The uranium ore pitchblende was more active than its uranium could explain, so it had to contain something else. Working through tonnes of ore in a leaking shed, the Curies found polonium, named after Marie's native Poland, and radium, about a million times more active than uranium. She called the property radioactivity.

Chapter II

Atoms That Change

At McGill University in Montreal, Ernest Rutherford sorted the radiation into kinds. Alpha rays were stopped by a sheet of paper, beta rays passed through thin metal, and gamma rays, found by Paul Villard in 1900, went through almost anything. The strangest finding was that thorium kept producing new radioactive substances. Harriet Brooks, Rutherford's first research student at McGill, showed that one of them, the "emanation", was a gas much lighter than thorium, so not thorium at all. With the chemist Frederick Soddy, Rutherford concluded in 1902 that radioactive atoms were changing into atoms of other elements. "Don't call it transmutation," Rutherford is said to have told Soddy, "they'll have our heads off as alchemists."

Each substance decayed at its own fixed rate. Half of any sample was gone in a characteristic time, its half-life, and heat, pressure and chemistry had no effect on it. In 1903 Pierre Curie and Albert Laborde found that radium stays warmer than its surroundings, indefinitely. The energy locked inside atoms was a million times larger than any chemical energy. Kelvin had calculated that the Earth cooled from a molten ball in a few tens of millions of years, and that the Sun could shine only as long. Neither calculation had allowed for energy inside atoms, and both were wrong. The Sun, it turned out, runs on nuclear fusion. For the Earth, Kelvin's larger error was to treat its interior as a rigid solid, but radioactive heat mattered too.

Chapter III

Probing the Atom

Alpha particles, which Rutherford showed in 1908 with Thomas Royds to be helium nuclei, became his favourite tool. Fired at gold foil by Hans Geiger and Ernest Marsden in Manchester from 1909, they revealed, in Rutherford's analysis of 1911, that each atom has a tiny, heavy nucleus, a turning point of old quantum theory. Radioactivity, it followed, happened inside the nucleus.

The same year Geiger and John Nuttall found a curious rule. Alpha emitters with more energetic particles decay much faster. The dependence was absurdly steep, and classical physics could not explain how alpha particles escaped the nucleus at all, since they lacked the energy to climb over its electrical barrier. In 1928 George Gamow, and independently Ronald Gurney and Edward Condon, explained both. Quantum mechanics lets a particle tunnel through a barrier it cannot climb, with a probability that depends extremely sharply on its energy. The same tunnelling, run in reverse, lets the Sun shine, as stellar astrophysics describes.

Chapter IV

A Closer Look: Counting Decays

The decay law is simple. After nn half-lives, a fraction (12)n(\tfrac12)^n of the original atoms is left:

Half-lives passedFraction left
11/2
21/4
31/8
51/32, about 3%
101/1024, about 0.1%

No atom ages. A radium atom has the same small chance of decaying this year, about 0.043%, whether it formed yesterday or ten thousand years ago. The half-life is a statement about crowds.

How active is a gram of radium? Radium-226 has a half-life of 1,600 years, which is 5.05×10105.05 \times 10^{10} seconds. The chance that one atom decays in a given second is its decay constant

λ=ln⁡25.05×1010 s≈1.37×10−11 per second.\lambda = \frac{\ln 2}{5.05 \times 10^{10}\ \text{s}} \approx 1.37 \times 10^{-11}\ \text{per second} .

A gram of radium contains 6.022×1023/226≈2.66×10216.022 \times 10^{23} / 226 \approx 2.66 \times 10^{21} atoms. Multiply, and about 3.7×10103.7 \times 10^{10} of them decay every second. That number became a unit, the curie, originally defined as the activity of one gram of radium.

The Geiger–Nuttall puzzle. Polonium-212 emits alpha particles of 8.8 MeV and has a half-life of 0.3 microseconds. Uranium-238 emits alpha particles of about 4.2 MeV and has a half-life of 4.47 billion years. The energies differ by a factor of about 2.1. The half-lives differ by a factor of

4.47×109×3.16×107 s0.3×10−6 s≈5×1023.\frac{4.47 \times 10^9 \times 3.16 \times 10^7\ \text{s}}{0.3 \times 10^{-6}\ \text{s}} \approx 5 \times 10^{23} .

Nothing in classical physics varies like that. Tunnelling does: the chance of getting through a barrier falls exponentially with its effective width, so a modest drop in energy lengthens the wait enormously.

Chapter V

Into the Nucleus

Radioactivity turned atoms from permanent building blocks into things that change, and gave physics the tools, the alpha particle and the counter, to look inside them. What the nucleus is made of, and why some nuclei are stable and others are not, became the subject of nuclear structure. The steady ticking of radioactive clocks in rocks gave the Earth its age, the subject of radiometric dating. The free neutron, found in 1932, turned out to be radioactive too, and how long it lives is still disputed.

Applications

Where it is used

  • Statistics↗ Mathematics · Probability Theory

    Decay follows the Poisson law

    In 1910 Rutherford and Geiger counted alpha particles from a polonium source in 2,608 intervals of 7.5 seconds, and Harry Bateman showed the counts followed the Poisson distribution, the law of rare independent events. It was early and vivid evidence that each atom decays at random, independently of the others, and made radioactive counting a textbook example of probability.

    › Sources (1)
    • Rutherford, E., Geiger, H. & Bateman, H. (1910). The probability variations in the distribution of α particles. Philosophical Magazine 20: 698–707.
  • Molecular biology↗ Biology · Molecular Biology

    Radioactive labels

    Because radiation can be detected from a handful of atoms, radioactive isotopes can tag molecules and follow them. In 1952 Alfred Hershey and Martha Chase labelled the DNA of a virus with phosphorus-32 and its protein coat with sulphur-35, and found that only the DNA entered the bacteria it infected. Genes are made of DNA.

    › Sources (1)
    • Hershey, A. D. & Chase, M. (1952). Independent functions of viral protein and nucleic acid in growth of bacteriophage. Journal of General Physiology 36: 39–56.
  • Safety

    Smoke detectors

    Most household smoke detectors of the ionisation type contain a tiny amount of americium-241, whose alpha particles make the air in a small chamber conduct electricity. Smoke particles disrupt the current and trigger the alarm. It is the same measurement Marie Curie made with her electrometer.

Open problems

Where the map runs out

Open

How long does a free neutron live?

Open as of 2026. The averages of the two methods still disagree by about ten seconds, some five times their combined uncertainty.

A neutron outside a nucleus is radioactive. It beta-decays into a proton, an electron and an antineutrino, with a mean lifetime of about a quarter of an hour. Counting the protons emerging from a beam of neutrons gives about 888 seconds. Trapping very slow neutrons in a "bottle" and counting the survivors gives about 878 seconds. The beam results claim uncertainties of about two seconds, the best bottle results a fraction of a second.

Why it is hard

Each method has its own hard-to-measure corrections: the absolute counting of protons and neutrons in beams, and neutrons lost from bottles through their walls. If neither experiment is in error, some neutrons might decay in a way that yields no proton, which would be new physics.

What resolving it unlocks

The neutron lifetime sets how much helium was made in the first minutes after the Big Bang, and tests the theory of the weak force. A real discrepancy would point to particles not yet known.

› Sources (3)

Further reading

  1. Quinn, S. (1995). Marie Curie: A Life. Simon & Schuster.

    The standard biography, drawing on the Curies' notebooks and letters.

  2. Pais, A. (1986). Inward Bound: Of Matter and Forces in the Physical World. Oxford University Press.

    A physicist's detailed history, from Becquerel to the particles of the Standard Model.

  3. Campbell, J. (1999). Rutherford: Scientist Supreme. AAS Publications.

    A full biography of the man at the centre of early nuclear physics.