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Potassium-40

physical science Maturity 11-13 Next article →

Potassium-40 (K) is a long-lived, naturally occurring radioactive isotope of potassium. It is an unstable version of the element that undergoes radioactive decay over vast periods of time. This isotope is a vital part of our planet's chemistry and history. It makes up about 1/117 of all natural potassium found on Earth. Because this fraction is small, natural potassium is only very weakly radioactive. However, potassium-40 has a massive half-life of 1.248 billion years. A half-life is the time required for half of a radioactive sample to decay.

Potassium-40-decay-scheme
Potassium-40-decay-scheme

This isotope follows four distinct paths of radioactive decay. The most common path is electron emission, also called beta decay. This process occurs with an 89.6% probability and turns potassium into calcium. During this decay, it releases an energy of 1.31 MeV. Another major path is electron capture (EC). In this process, the nucleus captures an electron and turns into argon. This happens at a 10.3% probability and produces a photon, or gamma ray, with an energy of 1.46 MeV.

Potassium-40-decay-scheme
Potassium-40-decay-scheme

There are two other ways potassium-40 decays into argon. One path is direct electron capture to the ground state of argon. This occurs at a very low probability of 0.1%. The final path is positron emission, which also results in argon. This is the rarest path, occurring only 0.001% of the time. Both types of electron capture decay also release photons known as X-rays. These X-rays are emitted when electrons from outer shells fall into inner shells to replace a missing electron.

Potassium-40-decay-scheme
Potassium-40-decay-scheme

Scientists use these decay paths for a method called potassium-argon (K–Ar) dating. This technique helps determine the age of minerals. Argon is a gas that does not usually combine with other elements. When a mineral forms from molten rock or dissolved substances, it starts with no argon. If the mineral contains potassium, the potassium-40 will decay into argon-40. This new argon gas becomes trapped inside the mineral structure. By measuring the ratio of potassium to argon atoms, scientists can calculate how much time has passed since the mineral formed.

Potassium-40-decay-scheme
Potassium-40-decay-scheme

This decay process also explains the composition of our atmosphere. Most of the argon in Earth's atmosphere is argon-40. Specifically, the atmosphere is 99.6% argon. In contrast, the Sun and the original materials that formed the planets contain much less argon. In those environments, argon makes up less than 15% of the total. This suggests that most of Earth's argon comes from the decay of potassium-40. Eventually, this gas escaped from the ground into the atmosphere.

Evolution of Earth's radiogenic heat
Evolution of Earth's radiogenic heat

Potassium-40 also contributes to the heat of our planet. It is the third largest source of radiogenic heat in the Earth's mantle. It follows thorium (Th) and uranium (U) in this ranking. Some scientists believe it also contributes to the heat of the Earth's core. They propose that high levels of uranium, thorium, and potassium could cause 1–2 TW of radioactivity in the core. This internal heat is a major part of the Earth's energy system.

Evolution of Earth's radiogenic heat
Evolution of Earth's radiogenic heat

Finally, potassium-40 is a significant part of human biology. It is the largest source of natural radioactivity in animals, including humans. An average 70 kg human body contains about 140 g of potassium. This results in about 3,850 to 4,300 disintegrations per second throughout an adult's life. Because of this, people use the "banana equivalent dose" as an informal educational tool. Eating one banana provides a dose of about 0.1 microsievert. This amount is only about 1% of the average American's daily radiation exposure.

Potassium-40-decay-scheme
Potassium-40-decay-scheme
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