Semiconductor Quantum Dot Size Distribution Calculator
Summarize actual number-weighted quantum-dot size observations with population spread/CV, not inferred size from absorption or volume weighting.
Description
A quantum-dot size distribution can be weighted by represented dot counts.
A quantum-dot size distribution can be weighted by represented dot counts.1
Its population standard deviation and coefficient of variation describe number-weighted spread rather than volume-weighted spread.
When to use Semiconductor Quantum Dot Size Distribution 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 Quantum Dot Size Distribution Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedQuantumDotDiametersNm, observedRepresentedDotCounts, following the field table and rules below, then run the tool.
- Read numberWeightedMeanDiameterNm, numberWeightedDiameterStdDevNm, numberWeightedDiameterCv. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedQuantumDotDiametersNm | Observed quantum dot diameters nm | list of number | Required |
| observedRepresentedDotCounts | Observed represented dot counts | list of number | Required |
Use aligned nonempty positive diameters in nanometres and integer represented counts from zero to one million, with positive total count. Normalize counts to weights, compute weighted mean, population variance, its square root, and standard deviation divided by mean. No sample-variance correction is used.
mean=Σcount_i×diameter_i/Σcount; variance=Σw_i(diameter_i−mean)²; CV=√variance/mean Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| numberWeightedMeanDiameterNm | Number weighted mean diameter nm | number |
| numberWeightedDiameterStdDevNm | Number weighted diameter std dev nm | number |
| numberWeightedDiameterCv | Number weighted diameter cv | number |
{
"input": {
"observedQuantumDotDiametersNm": [
2,
4,
6
],
"observedRepresentedDotCounts": [
1,
2,
1
]
},
"output": {
"numberWeightedMeanDiameterNm": 4,
"numberWeightedDiameterStdDevNm": 1.4142135623730951,
"numberWeightedDiameterCv": 0.3535533905932738
}
}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 Quantum Dot Absorption Peak Calculator: An absorption spectral peak can be located directly in a measured quantum-dot spectrum. Retaining tied energy positions avoids forcing one peak when sampled maxima are equal. For a complementary step, use Semiconductor Wse2 Exciton Energy Calculator: An optical exciton transition is modeled here by subtracting a matched binding energy from a quasiparticle gap. Comparing with an observed WSe₂ peak preserves the signed spectral mismatch.
References
Similar or alternative tools
- Semiconductor Quantum Dot Absorption Peak Calculator
An absorption spectral peak can be located directly in a measured quantum-dot spectrum. Retaining tied energy positions avoids forcing one peak when sampled maxima are equal.
- Semiconductor Wse2 Exciton Energy Calculator
An optical exciton transition is modeled here by subtracting a matched binding energy from a quasiparticle gap. Comparing with an observed WSe₂ peak preserves the signed spectral mismatch.