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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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Tag(s) : Physics-Chemistry

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## 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.

### 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.

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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