Rate Factor Arrhenius Temperature Calculator
Scale reference Glen rate factor by explicit activation energy over one caller Arrhenius regime; no universal two-regime switch, pressure-melting correction or stress/strain fit.
Description
A single-regime Arrhenius model scales a reference ice rate factor with temperature.
A single-regime Arrhenius model scales a reference ice rate factor with temperature. Regime and pressure applicability are external assumptions.1
Enter positive reference factor/gas constant, nonnegative activation energy and Kelvin temperatures strictly positive through 273.15. Return ratio/factor; ratio underflow to zero or nonfinite overflow fails.
When to use Rate Factor Arrhenius Temperature Calculator
Use Rate Factor Arrhenius Temperature Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No universal regime switch, pressure-melting correction or measured stress/strain fit is supplied.
Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.
How to use Rate Factor Arrhenius Temperature Calculator and understand its results
- Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.
- Enter referenceRateFactor, referenceTemperatureKelvin, targetTemperatureKelvin, activationEnergyJMol, gasConstantJMolKelvin using the field table and calculation rules, then run the tool.
- Read targetRateFactor, rateFactorTemperatureRatio. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| referenceRateFactor | Reference rate factor | number | Required |
| referenceTemperatureKelvin | Reference temperature kelvin | number | Required |
| targetTemperatureKelvin | Target temperature kelvin | number | Required |
| activationEnergyJMol | Activation energy j mol | number | Required |
| gasConstantJMolKelvin | Gas constant j mol kelvin | number | Required |
Enter positive reference factor/gas constant, nonnegative activation energy and Kelvin temperatures strictly positive through 273.15. Return ratio/factor; ratio underflow to zero or nonfinite overflow fails.
ratio=exp((Q/R)(1/Treference−1/Ttarget)); targetFactor=referenceFactor×ratio Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| targetRateFactor | Target rate factor | number |
| rateFactorTemperatureRatio | Rate factor temperature ratio | number |
{
"input": {
"referenceRateFactor": 2,
"referenceTemperatureKelvin": 250,
"targetTemperatureKelvin": 250,
"activationEnergyJMol": 60000,
"gasConstantJMolKelvin": 8.314
},
"output": {
"targetRateFactor": 2,
"rateFactorTemperatureRatio": 1
}
}Limitations and assumptions
No universal regime switch, pressure-melting correction or measured stress/strain fit is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Enhancement Factor Soft Ice Calculator: Observed strain relative to an unenhanced model yields an apparent softening factor. Model errors can contribute to that factor. For a complementary task, use Thermal Diffusion Length Scale Calculator: A diffusion length scales with the square root of diffusivity times duration. The numerical multiplier depends on the caller’s length convention.
References
Similar or alternative tools
- Enhancement Factor Soft Ice Calculator
Observed strain relative to an unenhanced model yields an apparent softening factor. Model errors can contribute to that factor.
- Thermal Diffusion Length Scale Calculator
A diffusion length scales with the square root of diffusivity times duration. The numerical multiplier depends on the caller’s length convention.