Semiconductor Valley Zeeman Splitting Calculator
Extract actual assigned valley spectral splitting and linear g from field-dependent measurements, not generic spin Zeeman forward energy or fixed material g.
Description
Valley Zeeman analysis starts with independently assigned plus and minus spectral branches.
Valley Zeeman analysis starts with independently assigned plus and minus spectral branches.1
A field-dependent fit of their signed difference can estimate an effective valley g factor.
When to use Semiconductor Valley Zeeman Splitting 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 Valley Zeeman Splitting Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedValleyPlusEnergyEv, observedValleyMinusEnergyEv, observedMatchedFieldsTesla, callerBohrMagnetonEvTesla, following the field table and rules below, then run the tool.
- Read signedValleySplittingsEv, fittedValleyZeemanGFactor. 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 |
|---|---|---|---|
| observedValleyPlusEnergyEv | Observed valley plus energy ev | list of number | Required |
| observedValleyMinusEnergyEv | Observed valley minus energy ev | list of number | Required |
| observedMatchedFieldsTesla | Observed matched fields tesla | list of number | Required |
| callerBohrMagnetonEvTesla | Caller bohr magneton ev tesla | number | Required |
Use aligned energy and field lists with at least two distinct field values and a positive Bohr magneton in electronvolts per tesla. Subtract minus from plus energy at each field, fit splitting versus field, then divide fitted slope by the magneton. Signed g is retained.
splitting_i=Eplus_i−Eminus_i; g=OLSslope(field,splitting)/μ_B Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| signedValleySplittingsEv | Signed valley splittings ev | list of number |
| fittedValleyZeemanGFactor | Fitted valley zeeman g factor | number |
{
"input": {
"observedValleyPlusEnergyEv": [
1,
2,
3
],
"observedValleyMinusEnergyEv": [
1,
1,
1
],
"observedMatchedFieldsTesla": [
0,
1,
2
],
"callerBohrMagnetonEvTesla": 0.5
},
"output": {
"signedValleySplittingsEv": [
0,
1,
2
],
"fittedValleyZeemanGFactor": 2
}
}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 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. For a complementary step, use Semiconductor Valley Hall Conductivity Calculator: A valley-restricted conductivity estimate integrates sampled Berry curvature with k-space cell area and occupation. Its sign and scale depend on the independently declared valley and conductivity convention.
References
Similar or alternative tools
- 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.
- Semiconductor Valley Hall Conductivity Calculator
A valley-restricted conductivity estimate integrates sampled Berry curvature with k-space cell area and occupation. Its sign and scale depend on the independently declared valley and conductivity convention.