Description
Calculate square-root and inverse-square-root time coordinates.
Electrochemical quantities require explicit electrode references, current sign, area definition and time basis. Geometric area differs from active-area conventions, charge differs from charge equivalents, and a logarithmic current coordinate needs a same-unit reference magnitude. Local sign changes and coordinate terms do not fit kinetics or establish a valid experiment.
Calculate square-root and inverse-square-root time coordinates.
When to use this tool
Use Chronoamperometry Sqrt Time Coordinate when you already have elapsedSeconds and need to calculate square-root and inverse-square-root time coordinates.
How to use the tool and how it works
- Enter elapsedSeconds. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read squareRootSeconds, inverseSquareRootSeconds. Use the output convention below.
Require elapsedSeconds positive/finite; return sqrt(time) and 1/sqrt(time).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| elapsedSeconds | Elapsed Seconds | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| squareRootSeconds | sqrt(elapsedSeconds) in s^(1/2). | Required. Finite number. |
| inverseSquareRootSeconds | 1/sqrt(elapsedSeconds) in s^(-1/2). | Required. Finite number. |
{
"input": {
"elapsedSeconds": 4
},
"output": {
"squareRootSeconds": 2,
"inverseSquareRootSeconds": 0.5
}
}Limitations and assumptions
- Outputs have units s^(1/2) and s^(-1/2), not seconds or current. No diffusion coefficient, Cottrell fit or valid diffusion regime is determined.
- 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
Inspect calibrated instrument records, reference-electrode details, area definitions and the complete experiment before interpreting results. Use the full electrochemical model and verified operating conditions when a local current, charge, sweep or impedance-representation term cannot answer the scientific question.
References
Similar or alternative tools
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