Semiconductor Ge Quantum Well Hole Mobility Calculator
Extract actual Ge-well Hall-hole mobility from paired independent sheet measurements, caller resolves Hall factor/multiple bands; not silicon doping mobility or electron 2DEG model.
Description
Hall hole sheet density and sheet resistance can define an extracted Ge quantum-well mobility.
Hall hole sheet density and sheet resistance can define an extracted Ge quantum-well mobility.1
Interpreting that value requires independently resolving Hall factors and multiple carrier bands.
When to use Semiconductor Ge Quantum Well Hole Mobility 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 Ge Quantum Well Hole Mobility Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter observedGeWellHallHoleSheetPerM2, observedGeWellSheetOhms, callerElementaryChargeC, following the field table and calculation rules below, then run the tool.
- Read extractedHallHoleMobilitiesM2VoltSecond. 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 |
|---|---|---|---|
| observedGeWellHallHoleSheetPerM2 | Observed ge well hall hole sheet per m2 | list of number | Required |
| observedGeWellSheetOhms | Observed ge well sheet ohms | list of number | Required |
| callerElementaryChargeC | Caller elementary charge c | number | Required |
Use two nonempty aligned positive sheet-density and sheet-resistance lists and a positive elementary charge. Return the reciprocal product for each entry in square metres per volt-second.
μHall_i=1/(q×psheet_i×Rsheet_i) Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| extractedHallHoleMobilitiesM2VoltSecond | Extracted hall hole mobilities m2 volt second | list of number |
{
"input": {
"observedGeWellHallHoleSheetPerM2": [
10000000000000000,
20000000000000000
],
"observedGeWellSheetOhms": [
100,
200
],
"callerElementaryChargeC": 1.6e-19
},
"output": {
"extractedHallHoleMobilitiesM2VoltSecond": [
6.25,
1.5625
]
}
}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 InGaAs Quantum Well Electron Mobility Calculator: Hall measurements and sheet conductance can infer mobility within a matched quantum-well model. An independently selected Hall factor converts the measured Hall scale to the stated InGaAs drift-mobility convention. For a complementary step, use Semiconductor AlGaN Gan Hemt Sheet Resistance Calculator: Four-probe sheet-resistance extraction uses measured voltage and current with an independently verified geometry correction. That correction belongs to the supplied finite-sample arrangement.
References
Similar or alternative tools
- Semiconductor InGaAs Quantum Well Electron Mobility Calculator
Hall measurements and sheet conductance can infer mobility within a matched quantum-well model. An independently selected Hall factor converts the measured Hall scale to the stated InGaAs drift-mobility convention.
- Semiconductor AlGaN Gan Hemt Sheet Resistance Calculator
Four-probe sheet-resistance extraction uses measured voltage and current with an independently verified geometry correction. That correction belongs to the supplied finite-sample arrangement.