Nuclear Decay Rate Calculator
Calculate radioactive decay rate, remaining atoms, and activity over time
About this calculator
The Nuclear Decay Rate Calculator determines how radioactive materials decay over time using exponential decay laws. This tool calculates the decay constant, remaining atoms, activity levels, and decay rate for any radioactive isotope given its half-life and initial conditions. It's essential for nuclear physics students, researchers, medical professionals working with radioisotopes, and anyone studying radioactive decay processes. The calculator provides accurate predictions for radioactive material behavior, helping with safety planning, dosage calculations, and experimental design in nuclear science applications.
How to use
Enter the initial number of atoms or initial activity of your radioactive sample. Input the half-life of the isotope and select the appropriate time units. Specify the time period you want to analyze. The calculator will instantly compute the decay constant, remaining atoms, current activity, and decay rate at your specified time.
Frequently asked questions
What is radioactive decay rate?
Decay rate is the number of radioactive atoms that disintegrate per unit time, following exponential decay law with a characteristic half-life for each isotope.
How is half-life related to decay constant?
The decay constant λ equals ln(2)/half-life. A shorter half-life means a larger decay constant and faster radioactive decay of the sample.
What units are used for activity measurements?
Activity is measured in becquerels (Bq) for disintegrations per second, or curies (Ci) where 1 Ci equals 3.7×10¹⁰ Bq for larger activities.