Half-Life Calculator

Calculate radioactive decay, remaining quantity, elapsed time and half-life periods

Half-Life Calculator

Remaining Quantity
Elapsed Time
Half-Life Period

Calculate Remaining Quantity

Result:
Formula Used:
N = N₀ × (1/2)(t/t½)
Where:
N = Remaining quantity
N₀ = Initial quantity
t = Elapsed time
t½ = Half-life

About Half-Life Calculator

Half-life is the time required for a quantity to reduce to half its initial value. This concept is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay, but it's also applicable to other fields like pharmacology, chemistry, and environmental science.

Key Concepts

Practical Applications

1. Carbon Dating

Carbon-14 (t½ = 5,730 years) is used to date organic materials up to about 50,000 years old.

Example: A fossil with 25% of original C-14 is approximately 11,460 years old.

2. Medical Radioisotopes

Technetium-99m (t½ = 6 hours) is used in medical imaging. Its short half-life minimizes patient radiation exposure.

3. Nuclear Waste Management

Plutonium-239 (t½ = 24,100 years) requires long-term storage solutions due to its long half-life.

Common Half-Life Values

Isotope Half-Life Application
Carbon-14 5,730 years Archaeological dating
Potassium-40 1.25 billion years Geological dating
Iodine-131 8 days Medical treatment
Uranium-238 4.5 billion years Nuclear fuel
Tip: Use the tabs at the top to switch between different calculation types - remaining quantity, elapsed time, or half-life period.