Geology Luminescence Equivalent Dose Calculator

Equivalent dose from independently fixed same-aliquot normalized luminescence growth curve; saturation, bleaching and dose-rate age conversion not inferred. Conditional independently matched piecewise-linear calibration, no extrapolation. 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

An equivalent-dose interpretation relies on a laboratory response calibration with an appropriate measurement protocol.

An equivalent-dose interpretation relies on a laboratory response calibration with an appropriate measurement protocol.1

A linear interpolation of submitted knots reports a conditional response and local secant slope without modeling dose uncertainty or saturation. Use this tool to interpolate the supplied calibration and inspect its local slope.

When to use Geology Luminescence Equivalent Dose Calculator

Use this tool to interpolate the supplied calibration and inspect its local slope. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.

How to use Geology Luminescence Equivalent Dose Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter observedLuminescenceGrowthSignalCoordinates, callerMatchedLuminescenceGrowthSignalResponses, queryLuminescenceGrowthSignalCoordinate, using the field meanings and rules below, then run the tool.
  3. Read interpolatedResponse, localObservedSlope. 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
observedLuminescenceGrowthSignalCoordinatesObserved luminescence growth signal coordinateslist of numberRequired
callerMatchedLuminescenceGrowthSignalResponsesCaller matched luminescence growth signal responseslist of numberRequired
queryLuminescenceGrowthSignalCoordinateQuery luminescence growth signal coordinatenumberRequired

Enter at least two aligned finite calibration coordinates and responses. Coordinates must be strictly increasing, and the query must be within the first and last coordinates, including endpoints. Interpolate the response linearly on its enclosing segment and return the response plus that segment's slope. At an internal knot the slope uses the segment to its right; at the last knot it uses the last segment. There is no extrapolation, curve fitting or built-in calibration, and response knots need not be monotonic. Independently establish coordinate and response units and applicable calibration scope.

y(q)=y_j+(q−x_j)×(y_(j+1)−y_j)/(x_(j+1)−x_j); localSlope=(y_(j+1)−y_j)/(x_(j+1)−x_j)

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

Output fieldMeaningValue type
interpolatedResponsePiecewise-linear response at the query, in the caller response unitnumber
localObservedSlopeEnclosing segment response change per coordinate unit, using the knot-side convention abovenumber
json
{
  "input": {
    "observedLuminescenceGrowthSignalCoordinates": [
      1,
      2,
      3
    ],
    "callerMatchedLuminescenceGrowthSignalResponses": [
      2,
      4,
      8
    ],
    "queryLuminescenceGrowthSignalCoordinate": 2.5
  },
  "output": {
    "interpolatedResponse": 6,
    "localObservedSlope": 4
  }
}

Limitations and assumptions

Results are confined to the supplied calibration interval. The tool does not establish a valid physical calibration, propagate measurement uncertainty or guarantee that linear segments represent the underlying process.

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 Fluid Inclusion Homogenization Temperature Calculator for this related task: Fluid-inclusion homogenization temperatures are observations made under a matched inclusion-family and heating protocol.

Use Geology Fluid Inclusion Salinity From Ice Melting Calculator when its separate inputs and assumptions fit the question: An ice-melting-temperature relation estimates salinity for the adopted water–sodium-chloride equivalent model.

References

  1. Geology Luminescence Equivalent Dose Calculator — tool.io

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