Geology Beryllium 10 Concentration To Age Calculator
Conditional beryllium10 exposure age from zero initial production pool, no erosion/burial and constant independently matched production N=P/λ(1−exp(−λt)). Inheritance, shielding, depth/scaling, production branch and actual nuclide units independently resolved. Not simple burial radioactive age or an unconstrained geological history.
Description
Beryllium-10 exposure age uses a matched production–decay model under no-erosion assumptions.
Beryllium-10 exposure age uses a matched production–decay model under no-erosion assumptions.1
Concentrations at model saturation do not admit a finite age in this calculation. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Geology Beryllium 10 Concentration To Age Calculator
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
How to use Geology Beryllium 10 Concentration To Age Calculator and understand its results
- Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
- Enter actualExposureGeneratedNuclideConcentration, callerIndependentlyMatchedProductionPerYear, callerVerifiedDecayConstantPerYear, using the field meanings and rules below, then run the tool.
- Read result.conditionalNoErosionExposureAgeYears. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualExposureGeneratedNuclideConcentration | Actual exposure generated nuclide concentration | number | Required |
| callerIndependentlyMatchedProductionPerYear | Caller independently matched production per year | number | Required |
| callerVerifiedDecayConstantPerYear | Caller verified decay constant per year | number | Required |
Require nonnegative exposure-generated concentration and positive matched production per year and decay constant per year. Require concentration×lambda<production strictly. Evaluate −log1p(−concentration×lambda/production)/lambda for conditional no-erosion exposure years. Zero concentration returns zero; exact saturation and above-saturation fail. No inherited concentration, erosion, shielding history or variable production correction is added.
noErosionExposureYears=−ln(1−generatedConcentration×lambdaPerYear/productionPerYear)/lambdaPerYear Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.conditionalNoErosionExposureAgeYears | Conditional exposure duration in years under constant production, decay and no erosion | number |
{
"input": {
"actualExposureGeneratedNuclideConcentration": 1,
"callerIndependentlyMatchedProductionPerYear": 1,
"callerVerifiedDecayConstantPerYear": 0.5
},
"output": {
"result": {
"conditionalNoErosionExposureAgeYears": 1.3862943611198906
}
}
}Limitations and assumptions
Concentrations at model saturation do not admit a finite age in this calculation. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Geology Cosmogenic Helium 3 Age Calculator to examine a related aspect: Stable cosmogenic helium-3 accumulation can be related to a matched production rate under adopted exposure assumptions.
Use Geology Cosmogenic Exposure Age Calculator where its separate inputs and scope apply: Radioactive cosmogenic exposure age balances production and decay under a no-erosion model.
References
Similar or alternative tools
- Geology Cosmogenic Helium 3 Age Calculator
Stable cosmogenic helium-3 accumulation can be related to a matched production rate under adopted exposure assumptions.
- Geology Cosmogenic Exposure Age Calculator
Radioactive cosmogenic exposure age balances production and decay under a no-erosion model.