Semiconductor Solidus Liquidus Temperature Calculator

Read independently established sampled solidus/liquidus paired phase boundaries, no extrapolation or alloy thermal processing advice; not a fixed melting-point lookup.

Description

Solidus and liquidus curves bound a sampled two-phase temperature interval.

Solidus and liquidus curves bound a sampled two-phase temperature interval.1

Interpolating both at the same composition keeps their difference attached to the supplied phase data.

When to use Semiconductor Solidus Liquidus Temperature Calculator

Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.

How to use Semiconductor Solidus Liquidus Temperature Calculator and understand its results

  1. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
  2. Enter observedPhaseCompositionFractions, observedSolidusKelvin, observedLiquidusKelvin, queryCompositionFraction, following the field table and rules below, then run the tool.
  3. Read interpolatedSolidusKelvin, interpolatedLiquidusKelvin, observedMushyZoneWidthKelvin. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
  4. 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 fieldMeaningValue typeRequirement
observedPhaseCompositionFractionsObserved phase composition fractionslist of numberRequired
observedSolidusKelvinObserved solidus kelvinlist of numberRequired
observedLiquidusKelvinObserved liquidus kelvinlist of numberRequired
queryCompositionFractionQuery composition fractionnumberRequired

Use at least two strictly increasing composition fractions in [0,1] and aligned positive solidus/liquidus temperatures in kelvin with solidus ≤ liquidus at every sample. Query composition must be in the observed interval. Interpolate each curve linearly and subtract solidus from liquidus; no extrapolation.

T_s=linearInterpolation(solidus,q); T_l=linearInterpolation(liquidus,q); width=T_l−T_s

Symbols follow the input and output meanings and the calculation rules above.

Output fieldMeaningValue type
interpolatedSolidusKelvinInterpolated solidus kelvinnumber
interpolatedLiquidusKelvinInterpolated liquidus kelvinnumber
observedMushyZoneWidthKelvinObserved mushy zone width kelvinnumber
json
{
  "input": {
    "observedPhaseCompositionFractions": [
      0,
      0.5,
      1
    ],
    "observedSolidusKelvin": [
      100,
      80,
      100
    ],
    "observedLiquidusKelvin": [
      120,
      100,
      120
    ],
    "queryCompositionFraction": 0.25
  },
  "output": {
    "interpolatedSolidusKelvin": 90,
    "interpolatedLiquidusKelvin": 110,
    "observedMushyZoneWidthKelvin": 20
  }
}

Limitations and assumptions

Matched measurement branch, material state, calibration, and conventions must be independently established. Results do not certify device performance or operating conditions.

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 Solid Solubility Maximum Calculator: A sampled solvus provides an observed maximum solid-solubility fraction and its temperature positions. An observed maximum does not establish the physical maximum beyond the data range. For a complementary step, use Semiconductor SiGe Quantum Well Strain Calculator: Measured SiGe well strain compares in-plane and out-of-plane lattice parameters with a matched relaxed reference. Signed ratios distinguish expansion from compression.

References

  1. Semiconductor Solidus Liquidus Temperature Calculator — tool.io

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