Description
Return potential-temperature scaling with a supplied exponent.
Atmospheric state formulas depend on absolute temperature, pressure reference, water mass/volume bases and layer assumptions. Local adiabatic, hydrostatic or precipitation terms can illustrate a supplied model without reconstructing an actual profile, validating an instrument or predicting weather hazards.
Return potential-temperature scaling with a supplied exponent.
When to use this tool
Use Potential Temperature Reference Ratio when checking the stated atmospheric pressure, temperature, humidity or water-basis term.
How to use the tool and how it works
- Enter temperatureKelvin, pressure, referencePressure, suppliedExponent. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read referenceRatio, potentialTemperatureKelvin. Use the output convention below.
Return potential-temperature scaling with a supplied exponent. Require positive absolute temperature and both pressures; referenceRatio = (referencePressure/pressure)^exponent, potentialTemperature = temperature*ratio.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| temperatureKelvin | Temperature Kelvin | Required. Finite number; strictly above 0. |
| pressure | Pressure | Required. Finite number; strictly above 0. |
| referencePressure | Reference Pressure | Required. Finite number; strictly above 0. |
| suppliedExponent | Supplied Exponent | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| referenceRatio | Reference Ratio | Required. Finite number. |
| potentialTemperatureKelvin | Potential Temperature Kelvin | Required. Finite number. |
{
"input": {
"temperatureKelvin": 300,
"pressure": 500,
"referencePressure": 1000,
"suppliedExponent": 1
},
"output": {
"referenceRatio": 2,
"potentialTemperatureKelvin": 600
}
}Limitations and assumptions
- Pressures share units and exponent is supplied; no dry/moist exponent, reference pressure or observed parcel state is selected.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified observations and an appropriate complete thermodynamic/profile analysis with explicit units, references and moisture assumptions for meteorological conclusions.
References
Similar or alternative tools
- Potential Temperature Pressure Sensitivity
Return pressure sensitivity of a potential-temperature term.
- Dry Adiabatic Temperature Pressure Ratio
Return dry-adiabatic temperature pressure scaling.