Semiconductor Disclination Energy Calculator
Explicit ideal wedge-disclination continuum convention μΩ²(R²−rc²) L/[16π(1−ν)], ignores core and free-boundary corrections; not logarithmic dislocation line-energy model.
Description
A wedge disclination continuum convention models elastic energy using angular strength and an annular region.
A wedge disclination continuum convention models elastic energy using angular strength and an annular region.1
The selected expression excludes core and free-boundary corrections.
When to use Semiconductor Disclination 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 Disclination Energy Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter callerDisclinationAngularStrengthRadians, callerShearModulusPa, callerPoissonRatio, observedOuterRadiusM, observedCoreRadiusM, observedLineLengthM, following the field table and calculation rules below, then run the tool.
- Read idealWedgeDisclinationEnergyJ. 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 |
|---|---|---|---|
| callerDisclinationAngularStrengthRadians | Caller disclination angular strength radians | number | Required |
| callerShearModulusPa | Caller shear modulus pa | number | Required |
| callerPoissonRatio | Caller poisson ratio | number | Required |
| observedOuterRadiusM | Observed outer radius m | number | Required |
| observedCoreRadiusM | Observed core radius m | number | Required |
| observedLineLengthM | Observed line length m | number | Required |
Require positive shear modulus, radii, and line length; outer radius must exceed core radius and Poisson ratio must lie strictly between −1 and 0.5. Square the finite signed angular strength and evaluate the stated expression.
E=μΩ²(R²−rc²)L/[16π(1−ν)] Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| idealWedgeDisclinationEnergyJ | Ideal wedge disclination energy j | number |
{
"input": {
"callerDisclinationAngularStrengthRadians": 0.1,
"callerShearModulusPa": 100,
"callerPoissonRatio": 0.25,
"observedOuterRadiusM": 2,
"observedCoreRadiusM": 1,
"observedLineLengthM": 3
},
"output": {
"idealWedgeDisclinationEnergyJ": 0.23873241463784312
}
}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.
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 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 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 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.