Sulfur Isotope Mass-Independent Fractionation Anomaly Detector
Nonlinear mass-independent sulfur anomaly Δ33S=δ33S−1000[(1+δ34S/1000)^λ−1]with independently applicable exponent. Not a universal biological signature or automatic geological interpretation.
Description
Sulfur mass-independent fractionation compares a measured isotope delta with an adopted mass-dependent relation.
Sulfur mass-independent fractionation compares a measured isotope delta with an adopted mass-dependent relation.1
The exponent, isotope reference and anomaly threshold must be independently established. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Sulfur Isotope Mass-Independent Fractionation Anomaly Detector
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the observation or experimental context, reference/calibration source, unit basis and adopted model assumptions.
How to use Sulfur Isotope Mass-Independent Fractionation Anomaly Detector and understand its results
- Establish the observation or experimental context, reference/calibration source, unit basis and adopted model assumptions.
- Enter independentlyMeasuredDelta33SPerMil, independentlyMeasuredDelta34SPerMil, callerVerifiedMassDependentExponent, callerAbsoluteAnomalyThresholdPerMil, using the field meanings and rules below, then run the tool.
- Read result.conditionalCapitalDelta33SPerMil, result.meetsCallerAbsoluteAnomaly. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| independentlyMeasuredDelta33SPerMil | Independently measured delta33 s per mil | number | Required |
| independentlyMeasuredDelta34SPerMil | Independently measured delta34 s per mil | number | Required |
| callerVerifiedMassDependentExponent | Caller verified mass dependent exponent | number | Required |
| callerAbsoluteAnomalyThresholdPerMil | Caller absolute anomaly threshold per mil | number | Required |
Enter finite delta33S and delta34S in per mil, with delta34S strictly above −1000, positive matched exponent and positive absolute threshold. Compute delta33S−1000×expm1(exponent×log1p(delta34S/1000)). Flag abs(result)≥threshold inclusively. The delta33S input has no separate lower bound; reference and analytical uncertainty are independently established.
capitalDelta33SPerMil=delta33S−1000×[(1+delta34S/1000)^exponent−1]; meets=(abs(capitalDelta33S)≥threshold) Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.conditionalCapitalDelta33SPerMil | Conditional Capital Delta33 S Per Mil; use the units, sign convention and calculation stated above | number |
| result.meetsCallerAbsoluteAnomaly | Meets Caller Absolute Anomaly; use the units, sign convention and calculation stated above | boolean |
{
"input": {
"independentlyMeasuredDelta33SPerMil": 1,
"independentlyMeasuredDelta34SPerMil": 1,
"callerVerifiedMassDependentExponent": 0.515,
"callerAbsoluteAnomalyThresholdPerMil": 0.2
},
"output": {
"result": {
"conditionalCapitalDelta33SPerMil": 0.485124825719066,
"meetsCallerAbsoluteAnomaly": true
}
}
}Limitations and assumptions
The exponent, isotope reference and anomaly threshold must be independently established. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Carbon Isotope delta-13C Biological Fractionation Flag Checker to examine a related aspect: Carbon-isotope separation compares a sample delta with a specified abiotic reference.
Use Exoplanet Biosphere Detection Claim Confidence Composite Scorer where its separate inputs and scope apply: A biosphere claim requires observations, systematics review and examination of abiotic alternatives.
References
Similar or alternative tools
- Carbon Isotope delta-13C Biological Fractionation Flag Checker
Carbon-isotope separation compares a sample delta with a specified abiotic reference.
- Exoplanet Biosphere Detection Claim Confidence Composite Scorer
A biosphere claim requires observations, systematics review and examination of abiotic alternatives.