Geology Helium Diffusion Coefficient Calculator
Mineral-specific independently fitted helium Arrheniusdiffusion D0exp(−Ea/RT), J/molactivation, SIprefactor. Not semiconductor dopant diffusion, closure temperature or helium retention model; grain orientation/defects independently verified.
Description
Helium diffusion can be modeled by a mineral-specific Arrhenius relation.
Helium diffusion can be modeled by a mineral-specific Arrhenius relation.1
The supplied prefactor and molar activation energy determine the conditional temperature response. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Geology Helium Diffusion Coefficient 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 Helium Diffusion Coefficient Calculator and understand its results
- Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
- Enter callerMineralCalibratedDiffusionPrefactorSquareMetersPerSecond, callerMineralCalibratedActivationJoulesPerMole, temperatureKelvin, using the field meanings and rules below, then run the tool.
- Read result.conditionalHeliumDiffusionSquareMetersPerSecond. 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 |
|---|---|---|---|
| callerMineralCalibratedDiffusionPrefactorSquareMetersPerSecond | Caller mineral calibrated diffusion prefactor square meters per second | number | Required |
| callerMineralCalibratedActivationJoulesPerMole | Caller mineral calibrated activation joules per mole | number | Required |
| temperatureKelvin | Temperature kelvin | number | Required |
Require positive prefactor in m²/s, nonnegative activation energy in J/mol and positive kelvin temperature. Evaluate D0×exp(−Ea/(R×T)) using R=8.31446261815324 J/(mol×K). Reject nonfinite or exactly zero exponential, and nonfinite final outputs. No mineral-specific parameters are fitted.
diffusivityM2PerS=D0×exp(−EaJPerMol/(8.31446261815324×temperatureKelvin)) 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.conditionalHeliumDiffusionSquareMetersPerSecond | Conditional Helium Diffusion Square Meters Per Second; use the units, sign convention and calculation stated above | number |
{
"input": {
"callerMineralCalibratedDiffusionPrefactorSquareMetersPerSecond": 1,
"callerMineralCalibratedActivationJoulesPerMole": 2494.338785445972,
"temperatureKelvin": 300
},
"output": {
"result": {
"conditionalHeliumDiffusionSquareMetersPerSecond": 0.36787944117144233
}
}
}Limitations and assumptions
The supplied prefactor and molar activation energy determine the conditional temperature response. 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 Helium Age Correction Alpha Ejection Calculator to examine a related aspect: Alpha-ejection age correction uses an independently established helium-retention fraction.
Use Geology U Th He Age Calculator where its separate inputs and scope apply: U–Th–He dating depends on parent history, helium production and retention.
References
Similar or alternative tools
- Geology Helium Age Correction Alpha Ejection Calculator
Alpha-ejection age correction uses an independently established helium-retention fraction.
- Geology U Th He Age Calculator
U–Th–He dating depends on parent history, helium production and retention.