Semiconductor Antiphase Domain Size Calculator

Summarize independently segmented antiphase domain areas as equal-area diameters with explicit represented-domain counts, not diffraction Scherrer length or quantum-dot sizes.

Description

Segmented domain areas can be expressed as equal-area circle diameters.

Segmented domain areas can be expressed as equal-area circle diameters.1

Weighting those diameters by represented domain counts preserves the observation basis when records represent unequal numbers of domains.

When to use Semiconductor Antiphase Domain Size Calculator

Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.

How to use Semiconductor Antiphase Domain Size Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter observedAntiphaseDomainAreasNm2, observedRepresentedDomainCounts, following the field table and calculation rules below, then run the tool.
  3. Read equivalentCircleDomainDiametersNm, numberWeightedMeanDomainDiameterNm. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
  4. Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
Input fieldMeaningValue typeRequirement
observedAntiphaseDomainAreasNm2Observed antiphase domain areas nm2list of numberRequired
observedRepresentedDomainCountsObserved represented domain countslist of numberRequired

Use nonempty aligned positive areas and safe-integer counts from 0 to 1,000,000. Require a positive total count, convert each area to 2sqrt(area/π), normalize counts, and calculate the count-weighted mean. Zero-count records still receive individual diameters.

diameter_i=2sqrt(area_i/π); mean=Σ(count_i×diameter_i)/Σcount_i

Read these symbols with the field meanings and branch or reference rules above.

Output fieldMeaningValue type
equivalentCircleDomainDiametersNmEquivalent circle domain diameters nmlist of number
numberWeightedMeanDomainDiameterNmNumber weighted mean domain diameter nmnumber
json
{
  "input": {
    "observedAntiphaseDomainAreasNm2": [
      3.141592653589793,
      12.566370614359172
    ],
    "observedRepresentedDomainCounts": [
      1,
      1
    ]
  },
  "output": {
    "equivalentCircleDomainDiametersNm": [
      2,
      4
    ],
    "numberWeightedMeanDomainDiameterNm": 3
  }
}

Limitations and assumptions

Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.

Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.

Alternative or Complementary methods

For a related task, use Semiconductor Grain Boundary Energy Calculator: Boundary-cell excess energy is measured relative to a matched bulk reference. Dividing by interface area and repeated-boundary count states the normalization needed to compare grain-boundary models. For a complementary step, use Semiconductor Disclination Energy Calculator: A wedge disclination continuum convention models elastic energy using angular strength and an annular region. The selected expression excludes core and free-boundary corrections.

References

  1. Semiconductor Antiphase Domain Size Calculator — tool.io

Similar or alternative tools

  • Semiconductor Grain Boundary Energy Calculator

    Boundary-cell excess energy is measured relative to a matched bulk reference. Dividing by interface area and repeated-boundary count states the normalization needed to compare grain-boundary models.

  • Semiconductor Disclination Energy Calculator

    A wedge disclination continuum convention models elastic energy using angular strength and an annular region. The selected expression excludes core and free-boundary corrections.

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