Semiconductor Spintronic Spin Diffusion Length Calculator
Extract spin diffusion length from actual spatial spin-specific signal decay, not generic mobility mean-free-path or assumed spin lifetime; caller verifies transport branch.
Description
An exponential spatial spin-signal decay can be fitted in logarithmic response space.
An exponential spatial spin-signal decay can be fitted in logarithmic response space.1
The reciprocal negative slope defines an apparent spin diffusion length.
When to use Semiconductor Spintronic Spin Diffusion Length Calculator
Use this tool when you need to fit an apparent exponential decay length or time. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
How to use Semiconductor Spintronic Spin Diffusion Length Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedSpinDistancesM, observedSpinSignal, following the field table and rules below, then run the tool.
- Read fittedSpinDiffusionLengthM, spinFitRSquared. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedSpinDistancesM | Observed spin distances m | list of number | Required |
| observedSpinSignal | Observed spin signal | list of number | Required |
Use at least two aligned coordinates and strictly positive signal values with nonzero coordinate variance. Fit the natural logarithm of signal against coordinate by ordinary least squares with a free intercept. Require a negative fitted slope; nondecaying fitted traces are rejected. Return the negative reciprocal of slope and the log-domain R². Coordinates need not be sorted, and an individually increasing sample can be accepted if the fitted trend is negative.
ln(signal)=a+b×coordinate; decayLengthOrTime=−1/b, b<0 Symbols follow the input and output meanings and the calculation rules above.
The result is a length in metres. Coordinate values are only required to be finite with distinct predictors; nonnegativity and individual monotonic decay are not separately enforced.
| Output field | Meaning | Value type |
|---|---|---|
| fittedSpinDiffusionLengthM | Fitted spin diffusion length m | number |
| spinFitRSquared | Spin fit R² | number |
{
"input": {
"observedSpinDistancesM": [
0,
1,
2
],
"observedSpinSignal": [
4,
2,
1
]
},
"output": {
"fittedSpinDiffusionLengthM": 1.4426950408889634,
"spinFitRSquared": 1
}
}Limitations and assumptions
An exponential model and selected measurement branch must be justified independently. R² summarizes a log-domain fit; it is not a confidence interval, full physical model, or device readiness check.
Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Evidence arrays must be dense, with no missing cells. Numeric observation lists allow at most 10,000 entries, subject to any smaller bounds stated above.
Alternative or Complementary methods
For a related review, use Semiconductor Spintronic Spin Lifetime Calculator: A diffusion-relaxation model relates a matched spin diffusion length and diffusivity to a spin lifetime. This calculation uses already established values rather than fitting a spatial signal. For a complementary step, use Semiconductor Si Spin Qubit Decoherence T2 Calculator: An exponential spin-echo envelope gives an apparent T₂ when fitted in logarithmic response space. That fit is distinct from a Ramsey T₂* estimate or a stretched-exponential model.
References
Similar or alternative tools
- Semiconductor Spintronic Spin Lifetime Calculator
A diffusion-relaxation model relates a matched spin diffusion length and diffusivity to a spin lifetime. This calculation uses already established values rather than fitting a spatial signal.
- Semiconductor Si Spin Qubit Decoherence T2 Calculator
An exponential spin-echo envelope gives an apparent T₂ when fitted in logarithmic response space. That fit is distinct from a Ramsey T₂* estimate or a stretched-exponential model.