Isochron Slope to Age Converter
InverseisochronAGESLOPEonlyln(1+s)/λ,not compute ReOspointregression/inferclosed/commoninitialconditions. 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
An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.
An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.1
Regression quality, initial composition and closed-system assumptions remain separate assessments.
When to use Isochron Slope to Age Converter
Use this tool to apply the stated isochron slope to age converter operation with an explicit input and unit basis.
How to use Isochron Slope to Age Converter and how it works
- Establish the measurement basis and units described above.
- Enter actualIndependentlyFittedIsochronSlope, callerApplicableDecayConstantPerYear 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 |
|---|---|---|---|
| actualIndependentlyFittedIsochronSlope | Independently fitted isochron slope, on the basis specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| callerApplicableDecayConstantPerYear | Applicable decay constant per year, on the basis specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require nonnegative fitted slope and positive decay constant per year. Use log1p(slope) divided by the constant; return years.
age years = ln(1 + slope)/λ Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Conditional age in years from the supplied isochron slope. | number |
{
"input": {
"actualIndependentlyFittedIsochronSlope": 1,
"callerApplicableDecayConstantPerYear": 1
},
"output": {
"result": {
"value": 0.6931471805599453
}
}
}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.
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 Decay Constant from Half-Life Calculator. A half-life can be expressed as a constant exponential decay rate on the same time basis.
References
-
Isochron Slope to Age Converter — tool.io
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.
- Decay Constant from Half-Life Calculator
A half-life can be expressed as a constant exponential decay rate on the same time basis.