Description
current = referenceCurrent*sqrt(referenceTime/time), using the same time unit for both.
Electrochemical current and potential terms depend on reaction direction, transport geometry and a declared reference state. Named equations apply under specific kinetic or diffusion assumptions; one scaling factor is not a full electrochemical model.
current = referenceCurrent*sqrt(referenceTime/time), using the same time unit for both.
When to use this tool
Use Chronoamperometry Cottrell Time Factor when checking one supplied kinetic or transport-model contribution.
How to use the tool and how it works
- Enter referenceCurrent, referenceTime, time. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read current. Use the output convention below.
Require positive referenceTime and time. current = referenceCurrent*sqrt(referenceTime/time), using the same time unit for both.1
The Cottrell diffusion-current relationship has inverse-square-root time dependence under its stated planar diffusion conditions. This tool rescales a supplied reference current.2
| Input field | Meaning and units | Accepted input |
|---|---|---|
| referenceCurrent | Reference Current | Required. Finite number. |
| referenceTime | Reference Time | Required. Finite number; strictly above 0. |
| time | Time | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| current | Signed electric current; use amperes with SI electrical inputs. | Required. Finite number. |
{
"input": {
"referenceCurrent": 10,
"referenceTime": 1,
"time": 4
},
"output": {
"current": 5
}
}Limitations and assumptions
- Signed reference current is preserved. This inverse-square-root Cottrell scaling assumes the appropriate diffusion regime; it does not fit data or model capacitive and finite-geometry effects.
- 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 a suitable complete model and verified experimental conditions before interpreting a local term as mechanism, performance or a fitted parameter.
References
Similar or alternative tools
- Levich Rotation Two Thirds Factor
Calculate a Levich-style transport factor with diffusivity to the two-thirds power and square-root angular-speed dependence.
- Chronoamperometry Sqrt Time Coordinate Tool
Return square-root time and reciprocal square-root time for an explicit positive chronoamperometry elapsed time without fitting a Cottrell model.