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Radioactivity Calculator

Tool/Calculator to compute the half-life, the radioactive period, the activity or the age of a radioactive element from its data / measurements for dating or radioactivity estimates.

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Radioactivity Calculator -

Tag(s) : Physics-Chemistry

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Radioactivity Calculator

Half-Life Calculator



See also: Time Dilation

Age Calculator



Activity Calculator



Tool/Calculator to compute the half-life, the radioactive period, the activity or the age of a radioactive element from its data / measurements for dating or radioactivity estimates.

Answers to Questions

How to calculate the age of a radioactive material?

From its half-life $ \lambda $ (in years) and its current measured activity $ a $ (in percent), the age $ t $ of the radioactive material is calculated according to the formula:

$$ t = \frac{\lambda}{\ln(2)}\ln\frac{100}{a} $$

Example: $ a = 25\% $, $ \lambda = 1000 $ so $ t = 2000 $ years

How to calculate the half-life of a radioactive material?

From its age $ t $ (in years) and its current measured activity $ a $ (in percent), the half-life of a radioactive material $ \lambda $ (in years) is calculated with the formula :

$$ \lambda = \frac{t \ln(2)}{\ln\frac{100}{a}} $$

How to calculate the activity of a material?

From its age $ t $ (in years), and its half-life $ \lambda $ (in years), the activity of a radioactive material $ a $ (in percent) is calculated by the formula:

$$ a = \frac{100}{\exp(\frac{t \ln(2)}{\lambda})} $$

What is the radioactive period?

The radioactive period is the time necessary for half of the atoms of a radioactive isotope to decay naturally. The term half-life is a synonym for radioactive period.

What is radiometric dating?

Radiometric dating is the technique using a radioactive isotope present in a material (generally Carbon in carbon 14 dating) to determine the age of a material via the calculations above.

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