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.

Radioactivity Calculator - dCode

Tag(s) : Physics-Chemistry

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

From its half-life $ \lambda $ (in years) and its current measured radiometric 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

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

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

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:

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

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 (several hundred or thousand years old) via the calculations above.

For shorter durations (decades), and recent materials, tritium dating is used. Tritium has been present in large numbers on Earth since nuclear tests.

dCode retains ownership of the "Radioactivity Calculator" source code. Except explicit open source licence (indicated Creative Commons / free), the "Radioactivity Calculator" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Radioactivity Calculator" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Radioactivity Calculator" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!

Reminder : dCode is free to use.

The copy-paste of the page "Radioactivity Calculator" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!

Exporting results as a .csv or .txt file is free by clicking on the *export* icon

Cite as source (bibliography):

*Radioactivity Calculator* on dCode.fr [online website], retrieved on 2024-09-14,

dating,period,radioactive,carbon,14,radioactivity,atom,isotope,half,life

https://www.dcode.fr/radioactivity-calculator

© 2024 dCode — El 'kit de herramientas' definitivo para resolver todos los juegos/acertijos/geocaching/CTF.

Feedback