Carbon Dating Calculator
Compute the age of a sample from its remaining ¹⁴C fraction.
Input Data
Remaining Fraction
Half Life Years
yr
Results
t = −ln(f)·T₁/₂/ln2.
5,730yr
λ = ln2/T₁/₂.
0.00012096811/yr
Confirmed fraction.
0.5
At a glance:t = −ln(N/N₀)·T₁/₂/ln2; λ = ln2/T₁/₂. Complements radioactive-decay and half-life.
Formula
t = T₁/₂·ln(N₀/N)/ln2.
$$t = -\frac{1}{\lambda}\ln\frac{N}{N_0}, \quad \lambda = \frac{\ln 2}{\tau_{1/2}}, \quad \tau_{1/2}(^{14}\text{C}) = 5730\ \text{yr}$$How to Use
- Enter the remaining fraction and half-life.
- The tool returns the age.
Case Studies
fraction 0.5, T₁/₂=5730
age = 5730 yr.
FAQ
¹⁴C half-life?
About 5730 years; usable up to ~50,000 years.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.