Nuclear Decay Half-Life Calculator – Radioactive Decay
Calculate radioactive decay using half-life. Find remaining amount after time, or calculate time needed for specific decay.
How to Use This Half-Life Calculator
Enter the half-life
Input the half-life of the radioactive substance in your chosen time unit.
Input initial amount and elapsed time
Enter the starting quantity and how much time has passed since then.
Calculate remaining amount
Click Remaining to see how much of the substance is left after the elapsed time.
Half-Lives of Common Isotopes
| Isotope | Half-Life | Common Use |
|---|---|---|
| Carbon-14 | 5,730 years | Radiocarbon dating |
| Uranium-238 | 4.5 billion years | Geological dating |
| Iodine-131 | 8 days | Medical treatment |
| Cesium-137 | 30 years | Industrial gauges |
| Tritium (H-3) | 12.3 years | Glow-in-dark signs |
| Polonium-210 | 138 days | Static eliminators |
Understanding Radioactive Decay
What Is Half-Life?
Half-life is the time required for half of a radioactive substance to decay. After one half-life, 50% remains. After two half-lives, 25% remains. After three, 12.5% remains. This exponential decay pattern is predictable and constant for each isotope.
The Decay Formula
The amount remaining follows: N(t) = N₀ × (1/2)^(t/T), where N₀ is initial amount, t is elapsed time, and T is half-life. This formula works for any time unit as long as t and T use the same unit. The decay is exponential, not linear.
Why Half-Life Matters
Half-life determines how long radioactive materials remain hazardous. Medical isotopes need short half-lives to minimize patient exposure. Nuclear waste has long half-lives, requiring secure storage for thousands of years. Carbon dating relies on C-14's predictable 5,730-year half-life.
Radioactive Decay Tips
Use consistent time units
Ensure half-life and elapsed time use the same unit (both seconds, both years, etc.).
Remember the 10 half-life rule
After 10 half-lives, less than 0.1% of the original material remains — effectively gone.
Decay is random but predictable
Individual atom decay is random, but large samples follow the half-life pattern precisely.
Half-life cannot be changed
Temperature, pressure, and chemical state do not affect radioactive decay rates.
Frequently Asked Questions
Other Free Tools
Bacterial Growth Calculator
Bacterial Growth Calculator – Model Microbial Population Growth
Dna Base Count Calculator
DNA Base Count Calculator – Count Nucleotides and GC Content
Radiation Dose Calculator
Radiation Dose Calculator – Estimate Radiation Exposure
Richter Scale To Energy Calculator
Richter Scale to Energy Calculator – Convert Earthquake Magnitude to Energy
0 100 Acceleration Estimator
0-100 Acceleration Estimator – Calculate 0 to 100 km/h Time
1rm Calculator
1RM Calculator – Calculate Your One Rep Max for Any Lift