Half-Life Calculator — Formula
## Half-Life Determination
The half-life can be computed from measured decay data.
### Formula
**t_half = -t * ln(2) / ln(N/N_0)**
The decay constant is **lambda = ln(2) / t_half**. This connects the exponential decay rate to the half-life.
The half-life can be computed from measured decay data.
### Formula
**t_half = -t * ln(2) / ln(N/N_0)**
The decay constant is **lambda = ln(2) / t_half**. This connects the exponential decay rate to the half-life.
Esempio Risolto
A sample starts at 100 units and has 25 remaining after 11,460 years.
- t_half = -t * ln(2) / ln(N/N0)
- t_half = -11460 * 0.6931 / ln(25/100)
- t_half = -11460 * 0.6931 / (-1.3863)
- t_half = 7940 / 1.3863
- t_half = 5730 years (Carbon-14)