Remaining Parent Isotope Fraction Calculator
Closedmonoisotopicremainingparentfraction exp(−λt),not fittedhalf-lifeor inferage/calendarcalibration. 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
Exponential radioactive decay describes the remaining parent fraction under a constant decay rate and elapsed time.
Exponential radioactive decay describes the remaining parent fraction under a constant decay rate and elapsed time.1
Closed-system applicability must be established independently.
When to use Remaining Parent Isotope Fraction Calculator
Use this tool to apply the stated remaining parent isotope fraction calculator operation with an explicit input and unit basis.
How to use Remaining Parent Isotope Fraction Calculator and how it works
- Establish the measurement basis and units described above.
- Enter callerActualDecayConstantPerYear, actualElapsedYears 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 |
|---|---|---|---|
| callerActualDecayConstantPerYear | Decay constant per year, on the basis specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| actualElapsedYears | Elapsed years, on the basis specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
Require nonnegative decay constant per year and nonnegative elapsed years. Evaluate the exponential of their negative product; numerical underflow to zero is rejected.
parent fraction = exp(−λt) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Remaining parent fraction; nonzero representable output is required. | number |
{
"input": {
"callerActualDecayConstantPerYear": 0.5,
"actualElapsedYears": 2
},
"output": {
"result": {
"value": 0.36787944117144233
}
}
}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. Extremely large decay products that underflow the exponential to zero are rejected.
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 Isochron Slope to Age Converter. An independently fitted isochron slope can be converted to a conditional age under the applicable decay system.
References
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.