Geology Re Os Isochron Age Calculator

Fit actual Re187/Os188–Os187/Os188 array and named decay inversion, common initial Os/closed system independently assumed. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.

Description

A rhenium–osmium isochron estimates an initial ratio and age from paired isotope ratios under a shared-system model.

A rhenium–osmium isochron estimates an initial ratio and age from paired isotope ratios under a shared-system model.1

Linear regression describes the submitted points; geological coherence and closed-system behavior require independent evidence. Use this tool to calculate re os isochron age from the supplied measurements and assumptions.

When to use Geology Re Os Isochron Age Calculator

Use this tool to calculate re os isochron age from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.

How to use Geology Re Os Isochron Age Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter re187Os188, os187Os188, re187DecayPerYear, using the field meanings and rules below, then run the tool.
  3. Read reOsIsochronAgeYears, initialOsRatio, fitRSquared. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
re187Os188Re187 os188list of numberRequired
os187Os188Os187 os188list of numberRequired
re187DecayPerYearRe187 decay per yearnumberRequired

Require a positive decay constant per year and fit paired isotope ratios by ordinary least squares with at least two points and nonzero predictor variance. Require nonnegative slope, then compute ln(1+slope)/lambda. Return years, the fitted intercept as initial osmium ratio and R²; no uncertainty-aware isochron or closure test is supplied.

ageYears=ln(1+slope)/decayPerYear; initialRatio=intercept

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
reOsIsochronAgeYearsRe Os Isochron Age Years; follow the units, sign, ordering and evidence convention stated abovenumber
initialOsRatioInitial Os Ratio; follow the units, sign, ordering and evidence convention stated abovenumber
fitRSquaredFit R Squared; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "re187Os188": [
      1,
      2,
      3
    ],
    "os187Os188": [
      2,
      3,
      4
    ],
    "re187DecayPerYear": 0.1
  },
  "output": {
    "reOsIsochronAgeYears": 6.931471805599452,
    "initialOsRatio": 1,
    "fitRSquared": 1
  }
}

Limitations and assumptions

Linear regression describes the submitted points; geological coherence and closed-system behavior require independent evidence. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Geology U Th Disequilibrium Age Calculator for this related task: An activity-ratio age interpretation depends on a specified uranium–thorium evolution curve.

Use Geology U Pb Discordia Upper Intercept Calculator when its separate inputs and assumptions fit the question: A discordia line summarizes paired uranium–lead ratio observations in a chosen coordinate system.

References

  1. Geology Re Os Isochron Age Calculator — tool.io

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