Radiocarbon Half-Life Decay Years Calculator

Uncalibratedphysical5730yearC14decayelapsedtime,NOTLibby5568conventionalradiocarbonage,calendarcalibration or initialactivity determination. Actual independently identified specimens,matched units/taxon/cohort/source/edition/calibration and model applicability external;not individual identity,causation,diagnosis,absolute age certainty or validated forecast.

Description

A declared carbon-14 decay model estimates elapsed time from independently established initial and remaining amounts.

A declared carbon-14 decay model estimates elapsed time from independently established initial and remaining amounts.^{[1, 2]}

This implementation uses a physical 5,730-year half-life rather than a conventional or calibrated calendar-age procedure.

When to use Radiocarbon Half-Life Decay Years Calculator

Use this tool to apply the stated radiocarbon half-life decay years calculator operation with an explicit input and unit basis.

How to use Radiocarbon Half-Life Decay Years Calculator and how it works

Establish the measurement basis and units described above.
Enter actualInitialC14Amount, actualRemainingC14Amount and run the tool.
Read result.value using the output meanings below.
If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.

Input field	Meaning	Value type	Requirement
actualInitialC14Amount	Initial c14 amount, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm
actualRemainingC14Amount	Remaining c14 amount, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm

Require positive initial and remaining amounts with remaining no greater than initial. Multiply ln(initial/remaining) by 5730/ln(2); return years without calendar calibration.

decay years = 5730 × ln(initial/remaining)/ln(2)

Apply the declared units, ordering and branch conditions.

Output field	Meaning	Value type
result	Object containing the declared output fields.	object
result.value	Uncalibrated decay-model elapsed years using the stored 5730-year half-life.	number

json

{
  "input": {
    "actualInitialC14Amount": 2,
    "actualRemainingC14Amount": 1
  },
  "output": {
    "result": {
      "value": 5730
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

USGS describes radioactive half-life dating and the carbon-14 5730-year half-life. This implementation performs decay arithmetic only; calibration, initial activity and sample corrections remain independently established.

Alternative or Complementary methods

For a related operation, use U-Pb Age from Parent-Daughter Ratio Calculator. A single uranium–lead parent-daughter system can yield a conditional closed-system age after common lead and other applicable corrections have been established.

For a related operation, use Isochron Slope to Age Converter. An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.

References

Radiocarbon Half-Life Decay Years Calculator — tool.io
USGS: Radiometric time scale — USGS

Similar or alternative tools

U-Pb Age from Parent-Daughter Ratio Calculator
A single uranium–lead parent-daughter system can yield a conditional closed-system age after common lead and other applicable corrections have been established.
Isochron Slope to Age Converter
An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.