Description
Return pressure sensitivity of a potential-temperature term.
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 pressure sensitivity of a potential-temperature term.
When to use this tool
Use Potential Temperature Pressure Sensitivity when checking the stated atmospheric pressure, temperature, humidity or water-basis term.
How to use the tool and how it works
- Enter potentialTemperature, pressure, exponent. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read derivative. Use the output convention below.
Return pressure sensitivity of a potential-temperature term. Require potentialTemperature/pressure > 0; derivative = -exponent*potentialTemperature/pressure.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| potentialTemperature | Potential Temperature | Required. Finite number; strictly above 0. |
| pressure | Pressure | Required. Finite number; strictly above 0. |
| exponent | Exponent | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| derivative | Partial derivative with respect to pressure at fixed underlying temperature/reference/exponent; units K per pressure unit. | Required. Finite number. |
{
"input": {
"potentialTemperature": 300,
"pressure": 100000,
"exponent": 0.286
},
"output": {
"derivative": -0.0008579999999999999
}
}Limitations and assumptions
- This local derivative holds temperature, reference pressure and exponent fixed under the supplied power-law convention; no complete atmospheric uncertainty is computed.
- 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 Reference Ratio
Return potential-temperature scaling with a supplied exponent.
- Dry Adiabatic Temperature Pressure Ratio
Return dry-adiabatic temperature pressure scaling.