The history

The history of the laws of thermodynamics

From a warm glass bulb in Padua to atoms a few trillionths of a degree above absolute zero: 400 years of learning what heat is and where it can go.

For centuries people could feel hot and cold but could not measure them, and most thought heat was an invisible fluid. Engineers trying to build better steam engines, and a brewer with a paddle wheel, showed that heat is energy on the move and that it only flows one way by itself. Then physicists found a coldest possible cold, explained entropy by counting atoms, and discovered that even forgetting information gives off heat.

402
years
20
moments
10
people
9
places

c. 1593

Instrument that shows hot and cold

Galileo Galilei, Padua, Italy

1714

Reliable mercury thermometer

Daniel Gabriel Fahrenheit, Amsterdam

1824

Theory of the ideal heat engine

Sadi Carnot, France

1850

First and second laws stated together

Rudolf Clausius, Germany

1877

Liquid oxygen

Louis Paul Cailletet and Raoul Pictet, France and Switzerland

1908

Liquid helium

Heike Kamerlingh Onnes, Leiden, Netherlands

1933

Temperature below 1 kelvin

William Giauque and Duncan MacDougall, Berkeley, USA

1995

Bose–Einstein condensate

Eric Cornell and Carl Wieman, Boulder, USA

c. 1593 (Viviani says 1597)Measuring hot and cold

1593 – 1765

Measuring hot and cold

People learn to see heat with glass tubes, agree on scales with fixed points, and discover that heat and temperature are not the same thing.

1593

c. 1593 (Viviani says 1597)

A glass bulb that shows heat

Galileo GalileiPadua, Republic of Venice

Galileo warmed a glass bulb with a long neck in his hands and stood it upside down in water. As the air inside cooled, water crept up the neck. The rise and fall showed that something was getting hotter or colder, but it had no numbers on it.

Why it mattered. It was one of the first instruments to make heat visible, the ancestor of every thermometer.

1714

1714 and 1724

Mercury and a scale everyone could share

Daniel Gabriel FahrenheitAmsterdam, Dutch Republic

Fahrenheit, a glassblower born in Danzig, made reliable thermometers, first with alcohol and by 1714 with mercury. In 1724 he described his scale to the Royal Society in London. Two of his thermometers made in the same way gave the same reading.

Why it mattered. For the first time, people in different places could compare temperatures as numbers.

1742

A hundred steps, upside down

Anders CelsiusUppsala, Sweden

Celsius showed that melting snow always sits at the same temperature, and so does boiling water at a fixed air pressure. He split the gap into 100 steps. But he put 0 at boiling and 100 at freezing. Soon after his death in 1744 the scale was flipped the right way up.

Why it mattered. Two fixed points and 100 steps gave the world the scale most people use today.

1761

c. 1761–1762

Heat that hides inside melting ice

Joseph BlackGlasgow, Scotland

Black noticed that ice melting in a warm room stays at the same temperature for a long time, even though it keeps soaking up heat. He called this hidden heat latent heat. He also found that the same amount of heat warms different materials by different amounts, which we now call specific heat.

Why it mattered. It showed that heat and temperature are two different things.

1798 – 1848

Heat engines and heat as motion

Cannons, steam engines and paddle wheels show that heat can be made from work and work from heat, and that there is a coldest possible cold.

1798

Read 25 January 1798

Boiling water by boring cannons

Benjamin Thompson, Count RumfordMunich arsenal, Bavaria

Rumford was in charge of drilling out brass cannons. He saw that the blunt drill made heat for as long as the horses kept turning it, enough to boil water in a few hours. Heat that never runs out could not be a fluid stored in the metal, he argued. It had to come from the motion.

Why it mattered. It was strong evidence that heat is a kind of motion, not a substance.

1824

The perfect engine on paper

Sadi CarnotParis

A young French engineer wrote a short book called Reflections on the Motive Power of Fire. He imagined a perfect engine and showed that the work it can give depends only on how hot its hot side is and how cold its cold side is. Few people read it at the time, and Carnot died of cholera in 1832.

Why it mattered. It set a limit on every engine ever built, and it became the seed of the second law.

1834

Drawing an engine as a loop

Émile ClapeyronParis

Clapeyron rewrote Carnot's ideas in mathematics. He drew the engine's cycle as a closed loop on a graph of pressure against volume, and the area inside the loop is the work done. That is how Carnot's forgotten book reached Kelvin and Clausius.

Why it mattered. The pressure-volume diagram is still how engineers picture engines today.

1845

1843–1850

Paddle wheels and the price of heat

James Prescott JouleManchester, England

Joule, from a brewing family, let falling weights spin a paddle wheel in water and measured how much warmer the water got. Over years of careful work he showed that the same amount of work always makes the same amount of heat. In Germany, Julius Robert Mayer had argued for the same idea in 1842.

Why it mattered. Heat and work turned out to be one thing, energy, which led straight to the first law.

1848

A scale that starts at absolute zero

William Thomson (later Lord Kelvin)Glasgow, Scotland

Thomson, aged 24, used Carnot's ideas to propose a temperature scale that does not depend on any one liquid or gas. It starts at an absolute zero, the coldest anything can ever be, which works out to about minus 273 degrees Celsius. We now measure it in kelvins, named after him.

Why it mattered. Temperature got a true zero, which later made the third law possible.

1850 – 1878

Entropy and statistics

Clausius and Kelvin write down the first and second laws, entropy gets its name, and Maxwell, Boltzmann and Gibbs explain it by counting molecules.

1850

The first and second laws, written down

Rudolf ClausiusBerlin, Prussia

Clausius showed that Carnot and Joule were both right. Energy is never lost, only changed, which is the first law. And heat does not flow by itself from something cold to something hot, which is the heart of the second law.

Why it mattered. It is widely seen as the birth of thermodynamics as a science.

1851

March 1851

No engine can use all its heat

William Thomson (later Lord Kelvin)Royal Society of Edinburgh, Scotland

Thomson gave his own version of the second law. No engine working in a cycle can take heat from one place and turn all of it into work. Some heat must always be passed to something colder.

Why it mattered. It explains why every car engine and power station has to throw heat away.

1865

A new word: entropy

Rudolf ClausiusZürich

Clausius needed a name for the quantity that always grows when heat spreads out. He built the word entropy from the Greek for transformation, and chose it to sound like energy. He summed up: the energy of the universe stays the same, and its entropy tends to a maximum.

Why it mattered. Entropy gave the second law a number you can calculate.

1867

11 December 1867

A tiny being who sorts molecules

James Clerk MaxwellScotland

In a letter to his friend Peter Guthrie Tait, Maxwell imagined a tiny being guarding a door between two boxes of gas. It lets fast molecules through one way and slow ones the other, so one side gets hot and the other cold without any work. Maxwell made it public in his book Theory of Heat in the early 1870s, and Kelvin later nicknamed it a demon.

Why it mattered. It showed that the second law is about probability, and the puzzle took about a century to solve.

1876

1875–1878

The rules for mixtures and changes

Josiah Willard GibbsNew Haven, Connecticut

Gibbs, a quiet professor at Yale, published a very long paper called On the Equilibrium of Heterogeneous Substances in a small local journal. It used energy and entropy to predict when chemicals react, when ice melts and when mixtures separate. It took Europe years to notice.

Why it mattered. It turned thermodynamics into a tool for chemistry and materials science.

1877

Entropy is counting

Ludwig BoltzmannGraz, Austria

Boltzmann showed that entropy measures how many ways the tiny particles of a thing can be arranged and still look the same from outside. Messy arrangements vastly outnumber tidy ones, so things drift towards mess. Max Planck later wrote it as S = k log W, around 1900, and that formula is carved on Boltzmann's grave in Vienna.

Why it mattered. It explained the second law using atoms, before most scientists believed atoms were real.

1906 – 1939

The cold frontier

Helium is turned into a liquid, Nernst finds the third law about absolute zero, and the most basic law of all finally gets a name.

1906

1906–1912

The third law: you can never reach absolute zero

Walther NernstBerlin

Nernst studied chemical reactions at lower and lower temperatures. In 1906 he proposed his heat theorem: as things approach absolute zero, their entropy changes shrink towards nothing. By 1912 he argued it also means no process can ever reach absolute zero in a finite number of steps.

Why it mattered. It became the third law, and it won Nernst the 1920 Nobel Prize in Chemistry.

1908

10 July 1908

Liquid helium, 4 degrees above zero

Heike Kamerlingh OnnesLeiden

After years of building ever better coolers, Onnes turned helium gas into a liquid at about 4.2 kelvin. By pumping on the liquid he got down to about 1.5 kelvin, the coldest place on Earth at the time. Three years later his team found that mercury loses all electrical resistance when it is this cold.

Why it mattered. It opened the door to the science of the very cold, and won him the 1913 Nobel Prize in Physics.

1939

1930s (in print 1939)

The law that came first gets named last

Ralph Fowler, with Edward GuggenheimCambridge, England

If A is as warm as B, and B is as warm as C, then A is as warm as C. This is why thermometers work, but nobody had called it a law. Fowler did in the 1930s, and it appeared in his 1939 book with Guggenheim. The other laws already had numbers, so it became the zeroth law.

Why it mattered. It made the idea of temperature itself part of the rules.

1961 – 2012

Information and the quantum cold

Wiping out a bit of information turns out to cost heat, and atoms are cooled to billionths of a degree above absolute zero.

1961

1961 (tested 2012)

Forgetting costs energy

Rolf Landauer; tested by Antoine Bérut and colleaguesIBM, New York; tested in Lyon, France

Landauer, a physicist at IBM, argued that erasing one bit of information must release a tiny minimum amount of heat. That link between information and entropy helped Charles Bennett explain in 1982 why Maxwell's demon cannot break the second law. In 2012 a team in Lyon trapped a single tiny bead with a laser and measured the heat, and it matched Landauer's limit.

Why it mattered. It showed that information is physical, and it sets a floor on how little energy computers can use.

1995

5 June 1995

Atoms colder than anything in nature

Eric Cornell and Carl WiemanJILA, Boulder, Colorado

Cornell and Wieman cooled a cloud of rubidium atoms to about 170 billionths of a degree above absolute zero. The atoms merged into one quantum blob, a Bose–Einstein condensate. It had been predicted 70 years earlier by Satyendra Nath Bose in India and Albert Einstein. Wolfgang Ketterle made one soon after, and all three shared the 2001 Nobel Prize in Physics.

Why it mattered. It showed how close to absolute zero we can get, while never quite reaching it.

By the numbers

The lowest temperatures reached in a lab

Each step is a new way of getting colder. The line keeps falling but can never touch zero, just as the third law says.

00000000.00010.0010.010.1110100 188018901900191019201930194019501960197019801990200020102020 1877: Cailletet and Pictet: first liquid oxygen, which boils at about 90 K18771898: James Dewar: liquid hydrogen, about 20 K18981908: Kamerlingh Onnes: liquid helium pumped down to about 1.5 K19081933: Giauque and MacDougall: magnetic cooling to 0.25 K19331995: Cornell and Wieman: first Bose–Einstein condensate, about 170 nK19952003: Ketterle's MIT team: about 450 picokelvin2021: Bremen drop tower team (published 2021): 38 picokelvin2021
  1. 1877 Cailletet and Pictet: first liquid oxygen, which boils at about 90 K
  2. 1898 James Dewar: liquid hydrogen, about 20 K
  3. 1908 Kamerlingh Onnes: liquid helium pumped down to about 1.5 K
  4. 1933 Giauque and MacDougall: magnetic cooling to 0.25 K
  5. 1995 Cornell and Wieman: first Bose–Einstein condensate, about 170 nK
  6. 2003 Ketterle's MIT team: about 450 picokelvin
  7. 2021 Bremen drop tower team (published 2021): 38 picokelvin

Did you know?

Celsius's first scale ran backwards: water boiled at 0 and froze at 100.

Maxwell never called his tiny being a demon. Kelvin gave it that nickname in 1874.

The zeroth law was named after the first, second and third laws, so it had to take the number before one.

Boltzmann's grave in Vienna carries S = k log W, though it was Planck who first wrote it in that form.

Since 20 May 2019 the kelvin has been defined by fixing the Boltzmann constant at exactly 1.380649 × 10⁻²³ joules per kelvin.

The coldest atoms made in a lab, at 38 trillionths of a kelvin, were about 70 billion times colder than deep space.

The people

Who figured it out

Joseph Black

1728 – 1799 · Chemist and physician · Scotland

Showed that melting and boiling soak up hidden heat without getting hotter.

Sadi Carnot

1796 – 1832 · Engineer · France

Wrote one short book about steam engines that founded a whole science.

James Prescott Joule

1818 – 1889 · Brewer and physicist · England

Measured how much work makes how much heat, and the unit of energy is named after him.

Rudolf Clausius

1822 – 1888 · Physicist · Prussia (now Germany and Poland)

Stated the first and second laws and invented the word entropy.

William Thomson, Lord Kelvin

1824 – 1907 · Physicist and engineer · Belfast, Ireland, then Glasgow

Gave us absolute zero and the temperature scale that starts there.

Josiah Willard Gibbs

1839 – 1903 · Physicist and chemist · USA

Turned thermodynamics into the working rules of chemistry.

Ludwig Boltzmann

1844 – 1906 · Physicist · Austria

Explained entropy by counting the ways atoms can be arranged.

Walther Nernst

1864 – 1941 · Chemist · Germany

Found the third law about the approach to absolute zero.

Heike Kamerlingh Onnes

1853 – 1926 · Physicist · Netherlands

Made helium liquid and discovered superconductivity.

Satyendra Nath Bose

1894 – 1974 · Physicist · India

His 1924 counting of light particles led to the prediction of the Bose–Einstein condensate.

Where it happened

9 places, one idea

Sources

Where this comes from

Dates marked “c.” are approximate, and historians sometimes disagree about who was first. If you spot a mistake, tell us.

  1. Laws of thermodynamics Wikipedia
  2. Timeline of thermodynamics Wikipedia
  3. Thermoscope Museo Galileo, Florence
  4. Daniel Gabriel Fahrenheit Wikipedia
  5. Anders Celsius Wikipedia
  6. Joseph Black Wikipedia
  7. An Inquiry concerning the Source of the Heat Which Is Excited by Friction (Rumford, 1798) Philosophical Transactions of the Royal Society
  8. Sadi Carnot Encyclopaedia Britannica
  9. Benoît Paul Émile Clapeyron Wikipedia
  10. Mechanical equivalent of heat Wikipedia
  11. James Prescott Joule Encyclopaedia Britannica
  12. William Thomson, Baron Kelvin Encyclopaedia Britannica
  13. Rudolf Clausius Encyclopaedia Britannica
  14. Maxwell's demon Wikipedia
  15. Letter from Maxwell to Tait on Maxwell's demon, 11 December 1867 Cambridge Digital Library (Cavendish Laboratory)
  16. Boltzmann's entropy formula Wikipedia
  17. Josiah Willard Gibbs Wikipedia
  18. Walther Nernst: facts The Nobel Prize
  19. Third law of thermodynamics Wikipedia
  20. Heike Kamerlingh Onnes: facts The Nobel Prize
  21. Liquid helium Wikipedia
  22. Zeroth law of thermodynamics Wikipedia
  23. Landauer's principle Wikipedia
  24. Experimental verification of Landauer's principle linking information and thermodynamics (Bérut et al., 2012) Nature
  25. The Nobel Prize in Physics 2001: press release The Nobel Prize
  26. Timeline of low-temperature technology Wikipedia
  27. Attainment of Temperatures Below 1° Absolute by Demagnetization of Gd2(SO4)3·8H2O (Giauque and MacDougall, 1933) Physical Review
  28. Cooling Bose-Einstein Condensates Below 500 Picokelvin (Leanhardt et al., 2003) Science
  29. Collective-Mode Enhanced Matter-Wave Optics (Deppner et al., 2021) Physical Review Letters
  30. SI base unit: kelvin (K) BIPM

That's the history. Now see how it works.