Semiconductor Grain Boundary Energy Calculator
Audit actual grain-boundary cell excess energies over independently matched bulk reference and explicit repeated-boundary count; signed mismatch retained, not a universal interfacial energy.
Description
Boundary-cell excess energy is measured relative to a matched bulk reference.
Boundary-cell excess energy is measured relative to a matched bulk reference.1
Dividing by interface area and repeated-boundary count states the normalization needed to compare grain-boundary models.
When to use Semiconductor Grain Boundary Energy 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 Grain Boundary Energy Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter observedBoundaryCellTotalEnergyJ, callerMatchedBulkReferenceEnergyJ, observedBoundaryAreasM2, callerBoundariesPerCell, following the field table and calculation rules below, then run the tool.
- Read inferredBoundaryEnergyJM2. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedBoundaryCellTotalEnergyJ | Observed boundary cell total energy j | list of number | Required |
| callerMatchedBulkReferenceEnergyJ | Caller matched bulk reference energy j | list of number | Required |
| observedBoundaryAreasM2 | Observed boundary areas m2 | list of number | Required |
| callerBoundariesPerCell | Caller boundaries per cell | number | Required |
Use nonempty aligned total energies, bulk energies, and positive areas. Require a safe-integer repeated-boundary count from 1 to 128. Subtract the bulk reference and divide by area and count; signed energy mismatches are retained.
γ_i=(Ecell_i−Ebulk_i)/(area_i×boundaryCount) Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| inferredBoundaryEnergyJM2 | Inferred boundary energy j m2 | list of number |
{
"input": {
"observedBoundaryCellTotalEnergyJ": [
10,
20
],
"callerMatchedBulkReferenceEnergyJ": [
8,
14
],
"observedBoundaryAreasM2": [
1,
3
],
"callerBoundariesPerCell": 2
},
"output": {
"inferredBoundaryEnergyJM2": [
1,
1
]
}
}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 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. For a complementary step, use Semiconductor Antiphase Domain Size Calculator: Segmented domain areas can be expressed as equal-area circle diameters. Weighting those diameters by represented domain counts preserves the observation basis when records represent unequal numbers of domains.
References
Similar or alternative tools
- 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.
- Semiconductor Antiphase Domain Size Calculator
Segmented domain areas can be expressed as equal-area circle diameters. Weighting those diameters by represented domain counts preserves the observation basis when records represent unequal numbers of domains.