U-Pb Age from Parent-Daughter Ratio Calculator
RestrictedsingleUPbsystem CLOSEDparent–radiogenicdaughterage ln(1+D*/P)/λ,commonPbanddisequilibriumindependentlyremoved;not concordia/discordiacertification. 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 single uranium–lead parent-daughter system can yield a conditional closed-system age after common lead and other applicable corrections have been established.
A single uranium–lead parent-daughter system can yield a conditional closed-system age after common lead and other applicable corrections have been established.1
Multiple-system concordance requires additional analysis.
When to use U-Pb Age from Parent-Daughter Ratio Calculator
Use this tool to apply the stated u-pb age from parent-daughter ratio calculator operation with an explicit input and unit basis.
How to use U-Pb Age from Parent-Daughter Ratio Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualRadiogenicDaughterToParentRatio, callerApplicableUDecayConstantPerYear 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 |
|---|---|---|---|
| actualRadiogenicDaughterToParentRatio | Radiogenic daughter to parent ratio, on the basis specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| callerApplicableUDecayConstantPerYear | Applicable u decay constant per year, on the basis specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require nonnegative radiogenic daughter/parent ratio and positive uranium decay constant per year. Evaluate log1p(ratio) divided by the constant; return years.
age years = ln(1 + D*/P)/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 single-system decay age in years. | number |
{
"input": {
"actualRadiogenicDaughterToParentRatio": 1,
"callerApplicableUDecayConstantPerYear": 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 Isochron Slope to Age Converter. An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.
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
Similar or alternative tools
- Isochron Slope to Age Converter
An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.
- Decay Constant from Half-Life Calculator
A half-life can be expressed as a constant exponential decay rate on the same time basis.