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Radiocarbon Dating Calculator (Carbon-14

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Radiocarbon dating (C-14 dating) uses the known radioactive decay rate of carbon-14 to determine the age of organic materials up to ~50,000 years.

Reviewed by Ahmad Faraz · BSCS
Last updated:
Editorial Guidelines

⚙ Input Values

%

📊 Results

Estimated Age
5730
years
Age Range (±40 years typical)
5690 – 5770 years BP
Half-Lives Elapsed
1.000
half-lives
Useful Dating Range
C-14 dating is reliable from ~100 to ~50,000 years before present
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📐 Formula

Age = -(t½ ÷ ln(2)) × ln(C-14 remaining %)
t½ (Cambridge) = 5,730 years | t½ (Libby) = 5,568 years

💡 Practical Example

✅

50% C-14 remaining, 5,730-year half-life: Age = - × ln(0.50) = 5,730 years BP. (Exactly 1 half-life elapsed).

📖 About Radiocarbon Dating Calculator (Carbon-14

Radiocarbon dating (C-14 dating) uses the known radioactive decay rate of carbon-14 to determine the age of organic materials up to ~50,000 years. Developed by Willard Libby in 1949 (Nobel Prize 1960).

To use the Radiocarbon Dating Calculator (Carbon-14), enter your Remaining C-14 Activity (% of original), C-14 Half-Life. The calculator instantly computes Estimated Age, Age Range (±40 years typical) and more. Results update in real time as you change any input — no submit button needed.

How to Use This Calculator

Enter your Remaining C-14 Activity (% of original) (e.g. 50 in %) and C-14 Half-Life — select from 5,730 years (Cambridge standard), 5,568 years (Libby half-life, historical). Results update instantly — no submit button needed. Use metric or imperial units as labeled. For the most accurate result, measure height and weight in the morning without shoes.

The Formula

Age = -(t½ ÷ ln(2)) × ln(C-14 remaining %)

t½ (Cambridge) = 5,730 years | t½ (Libby) = 5,568 years

Worked Example

50% C-14 remaining, 5,730-year half-life: Age = - × ln(0.50) = 5,730 years BP. (Exactly 1 half-life elapsed).

Understanding Your Result

Health calculations based on standard clinical formulas give a population-reference estimate — individual variation exists. Compare your result to the reference ranges provided using validated sources (WHO, CDC, NIH, or specialty clinical guidelines). A single measurement is a starting point; meaningful health trends emerge from tracking the same metric over time under consistent conditions. For values outside reference ranges, consult a qualified healthcare provider before making changes to diet, exercise, or medication.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is the half-life of carbon-14?

The internationally accepted half-life of C-14 is 5,730 ± 40 years (Cambridge half-life). The original Libby half-life of 5,568 years is still used in conventional radiocarbon ages.

How far back can carbon dating go?

Radiocarbon dating is useful from about 100 years to approximately 50,000 years before present. Beyond that, too little C-14 remains to measure accurately.

What scientific standards are used?

The calculator adheres to SI (International System of Units) standards unless otherwise specified. Values use NIST-recommended physical constants.

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