Wonders of Nature Earth Science No background needed About 7 min read

How Do We Know the Earth Is 4.6 Billion Years Old?
― The scientist who found the answer first had to fight "lead dirt" in his lab

There is no record of the Earth's birthday anywhere. We still know its age because rocks hold a clock that never stops. But reading that clock was much harder than it sounds, and the answer took nearly a century of detours.

Published: 2026.10.30 Difficulty: ★☆☆ (no background needed) Formulas appear only in the fold-out at the end
First, picture this

Your science textbook says "the Earth was born about 4.6 billion years ago." You may half remember it. But it doesn't say who measured it, or how.

A person has a birth certificate. A tree has rings you can count. The Earth has neither.

What is more, the rocks at the Earth's surface have been remade many times by volcanoes and moving crust. Almost none of the rock from its birth is left on the surface.

Only two things made it possible

1
Rocks hold a clock that never stops

The element uranium slowly turns into lead over a very long time. Heat and pressure barely change how fast it happens. Measure the ratio of uranium to lead, and you know how much time has passed.

2
They measured meteorites instead of the Earth

Meteorites are fragments that formed around the Sun at about the same time as the Earth. Unlike Earth's rocks, they were never remade. Measuring their lead let scientists look back to the time of Earth's birth.

But the road to putting these two together was far from smooth. Let's take it step by step.

The first answer was "tens of millions of years"

In the 19th century, the British physicist Lord Kelvin pictured the Earth as a hot ball that was cooling down. How long would a molten ball take to cool to today's temperature? From this calculation he estimated the Earth's age at 20 million to 400 million years. Late in life he cut it further, to a few tens of millions of years.

Geologists, and Darwin, who studied evolution, were troubled. Layers of rock seemed to need far more time to pile up, and living things seemed to need far more time to change. The physics and the evidence in the rocks did not agree.

What settled it was radioactivity, discovered in 1896. Uranium and other elements in rocks were giving off heat all the time. The assumption of a ball that only cools collapsed. And radioactivity carried not only heat but also a "clock."

How does the uranium clock tick?

A kind of uranium called uranium-238 turns half of itself into lead-206 in about 4.47 billion years. This time to fall by half is called the half-life. After the same time again, half of what is left changes. A quarter of the original remains.

Look at Figure 1. The solid line on the left shows the share of uranium still left. Move the slider below to advance time. In the column on the right, the lead part at the top grows and the uranium part at the bottom shrinks. If a rock had no lead when it solidified, the ratio of lead to uranium lets you work out the time since then.

Uranium-238 remaining (solid line) 100% 50% 0% 0 30 60 90 Elapsed time (billion yrs) Half Earth now (~4.55 bn yrs) Inside the rock Top: lead-206 (formed) Bottom: U-238 (left) Left: 49%
Move the slider to change the shares of uranium left and lead formed
Figure 1: Uranium-238 turning into lead-206. The solid line on the left is the share of uranium left, and the vertical dotted line is the Earth's present age. In the column on the right, the top is newly formed lead and the bottom is uranium left. Move the slider forward in time, and you can see the lead part grow as the clock runs.

In fact, uranium has another kind, uranium-235. It is a "fast clock" that halves in about 700 million years and turns into lead-207. Reading two clocks of different speeds in the same rock lets the two answers check each other.

What got in the way was lead, found everywhere

In the late 1940s, a young American researcher, Clair Patterson, set out to use this clock on meteorites. But every time he measured, the lead values came out scattered. Lead was already all around him, long before it was in the sample.

It was in dust, glassware, water, air, and even his own hair. At the time, lead was also mixed into petrol, so lead drifted in the air itself. Patterson scrubbed his rooms thoroughly and cleaned his equipment with acid. Even that was not enough, so he built a low-dust lab fed with filtered outside air.

It is said that in 1953 he was finally able to measure accurately the lead in an iron meteorite that fell in Arizona, in the United States. The age of the Earth he published in 1956 was about 4.55 billion years. As Figure 2 shows, that is more than 100 times older than Kelvin's answer. Later measurements have hardly changed this value.

How the answer for Earth's age changed Kelvin (1862) 20–400 Myr Kelvin (1897) 20–40 Myr Holmes (1913) ~1.6 Gyr Patterson (1956) 4.55 Gyr 0 10 20 30 40 50 (×100 Myr)
Figure 2: How estimates of the Earth's age have changed. The top two bars are the values Kelvin worked out from cooling, and they are so short they look almost like dots. The third bar is an early value from uranium in rocks, and the long bar at the bottom is the value Patterson got from lead in meteorites.
💡 Finding the age changed petrol

After his fight with lead in the lab, Patterson began to ask where all this lead came from. He measured seawater and Antarctic ice, and is said to have shown that much of the lead in the air came from the lead mixed into petrol. This work fed into the move in many countries to remove lead from petrol. Research into the Earth's age ended up cleaning the air we breathe.

Summary

The Earth's age was found by reading the speed at which uranium turns into lead in rock as a clock, and applying it to meteorites that were never remade. The first answer, worked out from cooling, was far too short because radioactivity, which gives off heat, was not yet known. The right answer took the patience to remove invisible lead dirt.

The Earth's birthday was remembered by a stone that fell from the sky.
To read it, first the dust in the room had to be wiped away.

To learn why the Earth's interior still hasn't cooled, see "Why Hasn't the Earth's Interior Cooled After 4.6 Billion Years?". For how fast the slow-moving continents travel, see "How Far Do the Continents Move in a Year?".

🧪 Try "half-life" with coins
  1. Get about 50 ten-yen coins, put them in a box, and shake well. One shake counts as "one unit of time."
  2. Take out the coins that land heads as "changed into lead," and write down how many are left.
  3. Repeat with the remaining coins. See on which shake the number falls to a quarter of the start.

You can't predict when any single coin will change, yet the whole pile shrinks by about half each time. Atomic clocks are accurate because they hold an enormous number of atoms.

For those who want more ― terms, formulas and links to textbooksEach part is labelled from junior-high science to university specialist courses
How to read the labels below
  • Junior highCovered in junior-high science
  • High schoolCovered in high-school physics and earth science
  • High school+Advanced high-school level, or a textbook sidebar
  • UniversityUniversity specialist courses (geochemistry, isotope geology), not taught in high school
  • ResearchNot yet taught as settled fact, even at university; researchers are still working on it

Junior highTerms: this phenomenon has names

Junior highHigh schoolCheck with a formula: how much uranium is left over the Earth's age?

Taking the Earth's age as 4.55 billion years, we calculate how far the two uranium clocks have run.

⓪ The underlying formula
In symbolsN = N0 × (1/2)^(t / T) 、 D / N = 2^(t / T) − 1
In wordsNumber left = starting number × one half multiplied in "elapsed time ÷ half-life" times. The ratio to the lead formed is 2 multiplied in the same number of times, minus 1
Where it comes fromEach atom decays with a fixed probability, so the number lost is always proportional to the number left (exponential decay). Every decayed atom becomes lead, so the total number of atoms is conserved
SymbolMeaning and unit
NNumber of uranium atoms left now
N0Number of uranium atoms when the rock solidified
DNumber of lead atoms formed by decay
tElapsed time (hundred million years)
THalf-life (hundred million years)
① Starting numbers
Age of the Earth (from meteorite lead)About 4.55 billion years
Half-life of uranium-238About 4.47 billion years
Half-life of uranium-235About 0.704 billion years
Kelvin's late estimate (upper limit)About 0.04 billion years
② Let's calculate
Number of half-lives for uranium-23845.5 ÷ 44.7 ≒ 1.02
One half multiplied in 1.02 times (share left)About 0.494
Starting number per atom left1 ÷ 0.494 ≒ 2.02
Lead formed per atom left (D / N)2.02 − 1 = 1.02
Number of half-lives for uranium-23545.5 ÷ 7.04 ≒ 6.46
One half multiplied in 6.46 times (share left)About 0.011
Ratio to Kelvin's estimate45.5 ÷ 0.4 ≒ 114

Of the uranium-238 present when the Earth formed, about half has now turned into lead. Of the fast clock, uranium-235, only about 1% is left. Conversely, solving for t from a measured ratio gives the age. That the two clocks point to the same age is what supports the answer.

High schoolHigh school+Why does a "lead-to-lead ratio" alone give the age?

High schoolHigh-school physics covers nuclear decay and half-life. The share left is "one half to some power" because the chance that a single atom decays stays the same over time.

High school+Real rocks contain a little lead from the start. So Patterson focused on the ratio of lead-207 to lead-206. From the difference in how fast the two clocks run, the age is fixed without measuring the amount of uranium directly. He estimated the lead present at the start from iron sulphide in a meteorite that has almost no uranium.

UniversityThe lead–lead isochron method

In university isotope geochemistry, this method is called the "lead–lead isochron method." Several samples with different uranium-to-lead ratios are plotted on a graph with lead-207/lead-204 and lead-206/lead-204 as the axes. Samples that solidified at the same time fall on one straight line, and its slope gives the age. This line is called an isochron ("equal-time line"). The speed of decay is given by the decay constant, and its link to the half-life is "half-life = natural log of 2 ÷ decay constant."

📖 Derivations and further reading: Radiometric dating (Wikipedia) / Patterson's original paper (1956)

ResearchWhat is still not clear

So this article, too, is "an explanation of what we know now." The value has settled at "about 4.6 billion years," but the details of the last few tens of millions of years are still being updated.

Links to textbooks (by level)

LevelSubject / unitWhere in this article
Junior highScience: "Properties of radiation"Uranium turning into lead
High schoolPhysics: "Atomic nuclei"; Earth science: "History of the Earth"The half-life formula and Figure 1
High school+Advanced earth science: "Radiometric ages"Comparing the two clocks
UniversityIsotope geochemistryLead–lead isochron method
ResearchPlanet formation theoryDefining the moment of birth
―Links to daily lifeWhy lead disappeared from petrol
References and sources
  1. C. Patterson, "Age of meteorites and the earth", Geochimica et Cosmochimica Acta 10 (1956)
  2. Wikipedia, "Age of the Earth" (Japanese edition: 地球の年齢)
  3. G. Brent Dalrymple『The Age of the Earth』Stanford University Press(1991)
  4. Arthur Holmes『The Age of the Earth』Harper & Brothers(1913)
  5. National Astronomical Observatory of Japan (国立天文台), ed., Chronological Scientific Tables (理科年表), Maruzen Publishing (丸善出版)

* This article is a popular-science explanation. The numbers given are rough guides to help you understand how things work. Age values differ slightly between sources.