Radiocarbon Date Calibrator
Convert radiocarbon years BP to approximate calendar age with uncertainty ranges and reservoir correction.
About this calculator
Radiocarbon dating measures how much carbon-14 remains in an organic sample relative to the ratio living tissue holds while exchanging carbon with the atmosphere. Carbon-14's most precisely measured physical half-life is 5,730 years (the Cambridge value), but by the international reporting convention set out in Stuiver and Polach's 1977 paper "Discussion Reporting of 14C Data" (published in the journal Radiocarbon), every reported "radiocarbon age" — including the age this calculator takes as input, and the scale calibration curves like IntCal20 are actually indexed against — is calculated using the older, less accurate Libby half-life of 5,568 years instead, deliberately preserved for continuity with decades of previously published dates. This calculator's remaining-carbon-14 figure follows that same convention, so the fraction remaining shrinks predictably with age at the Libby rate — this calculator reports that remaining fraction alongside the raw radiocarbon age. A raw radiocarbon age (measured in years BP, "before present" meaning before 1950) is not the same as a calendar age, because the atmospheric ¹⁴C/¹²C ratio has not been constant through history — it has wobbled with solar activity, the carbon cycle, and the geomagnetic field. Labs correct for this using a calibration curve such as IntCal20, built from tree rings, corals, and other dated proxies.
This calculator applies a simplified piecewise-linear approximation of that relationship rather than the real IntCal20 dataset, so treat the calendar age and calendar year as an order-of-magnitude estimate for planning a sample's likely period, not a publication-grade calibrated date. For marine or freshwater samples, a reservoir correction (ΔR) is subtracted first, since organisms in those environments incorporate old, depleted carbon and read artificially old. The 1-sigma and 2-sigma ranges widen the reported laboratory uncertainty to reflect the added imprecision of calibration itself. For real archaeological or geological work, run the reported radiocarbon age and uncertainty through OxCal or CALIB against the actual IntCal20/Marine20 curves.
Inputs
Results
Calibrated Age (cal BP)
3,725 cal BP
Calendar Date
1775 BCE
Figures current as of 1977. Source: Minze Stuiver & Henry A. Polach, "Discussion Reporting of 14C Data," Radiocarbon 19(3), 355-363
How to Use This Calculator
- Enter Radiocarbon Age, ± Uncertainty, and Reservoir Correction.
- Review Calibrated Age (cal BP) and Calendar Date.
- Use Corrected ¹⁴C Age (yr BP) and 1σ Range (older) (cal BP) to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Radiocarbon Age
| Radiocarbon Age | Calibrated Age (cal BP) | Calendar Date |
|---|---|---|
| 1,750 | 1,888 cal BP | 63 CE |
| 2,625 | 2,806 cal BP | 856 BCE |
| 5,250 | 5,563 cal BP | 3613 BCE |
| 8,750 | 9,238 cal BP | 7288 BCE |
What each input means
- Radiocarbon Age
- Conventional radiocarbon age in years before present (1950).
- ± Uncertainty
- Laboratory reported 1-sigma uncertainty.
- Reservoir Correction
- Marine or freshwater reservoir offset (ΔR). 0 for terrestrial samples.
How this is calculated
Worked example, using the default values
- Identify Input ParametersRadiocarbon Age = 3500, ± Uncertainty = 40, Reservoir Correction = 0 = 3 input(s) provided
- Calculate Calibrated AgeCalibrated Age3725 = 3725
- Calculate Calendar DateCalendar Date1775 BCE = 1775 BCE
- Calculate Corrected ¹⁴C AgeCorrected ¹⁴C Age3500 = 3500
- Calculate 1σ Range1σ Range3769 = 3769
Figures and sources
- International convention for reporting conventional radiocarbon ages using the Libby half-life (1977) — Minze Stuiver & Henry A. Polach, "Discussion Reporting of 14C Data," Radiocarbon 19(3), 355-363
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why is the calibrated age different from the radiocarbon age?
Radiocarbon age assumes the atmospheric carbon-14 ratio was constant over time, but it has varied historically. Calibration corrects for those historical fluctuations using tree-ring and other dated records, so the calibrated calendar age can sit noticeably earlier or later than the raw radiocarbon age, and the gap is not constant across the timescale.
What does a reservoir correction do?
Marine organisms and some freshwater organisms absorb carbon that is already depleted in carbon-14 relative to the contemporary atmosphere, which makes their raw radiocarbon age read older than their true age. The reservoir correction subtracts that regional offset (ΔR) before calibration so the result reflects the sample's actual age rather than an inflated one.
Is this calculator's calendar age accurate enough to publish?
No. It uses a simplified linear approximation of the real calibration curve rather than the actual IntCal20 dataset, so the calendar age and date shown here are order-of-magnitude estimates for planning purposes. Formal archaeological or geological reporting requires running the lab-reported radiocarbon age through dedicated calibration software against the real curve.
Why does the remaining carbon-14 percentage keep dropping past 26,000 years?
Carbon-14 decays exponentially regardless of sample age, so the remaining fraction keeps halving every half-life indefinitely. This calculator computes it using the 5,568-year Libby half-life — the conventional value a reported radiocarbon age is itself defined against, not the more precisely measured 5,730-year Cambridge value. Past roughly 50,000 years so little carbon-14 remains that conventional radiocarbon dating becomes unreliable and other methods take over, which is why this calculator caps its input range there.
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
Artifact Density Calculator
Calculate objects per cubic meter and per square meter from excavation unit dimensions and artifact counts.
ArchaeologyStratigraphy Volume Calculator
Calculate excavation volume from layer dimensions and variable depth across the unit.
Earth ScienceFossil Age Estimator Calculator
Age range from stratigraphic layer and index fossils.
Garden PlanningFrost Date Planner Calculator
Plan planting dates around your frost dates. Calculate when to start seeds indoors, transplant, and direct sow.
ArchaeologyArtifact Classification Score Calculator
Score artifacts using type-variety classification from morphological attributes and contextual data.
More in Science & Physics.