Semiconductor Weyl Node Separation Calculator
Resolve observed Weyl-node directed displacement in one caller reciprocal-space frame, no Brillouin-zone periodic minimum, real-space geodesy or identification of Weyl nodes.
Description
Weyl-node separation is a displacement between independently identified nodes in one reciprocal-space frame.
Weyl-node separation is a displacement between independently identified nodes in one reciprocal-space frame.1
A directed vector preserves orientation alongside its Euclidean magnitude.
When to use Semiconductor Weyl Node Separation 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 Weyl Node Separation Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedWeylNodeAReciprocalCoordinates, observedWeylNodeBReciprocalCoordinates, following the field table and rules below, then run the tool.
- Read directedWeylNodeSeparation, weylNodeSeparationMagnitude. 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 |
|---|---|---|---|
| observedWeylNodeAReciprocalCoordinates | Observed weyl node a reciprocal coordinates | list of number | Required |
| observedWeylNodeBReciprocalCoordinates | Observed weyl node b reciprocal coordinates | list of number | Required |
Enter exactly three finite same-frame reciprocal coordinates for each node. Subtract node A from node B component by component and take the vector norm. Periodic wrapping in the Brillouin zone is not performed.
Δk=k_B−k_A; separation=√ΣΔk_component² Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| directedWeylNodeSeparation | Directed weyl node separation | list of number |
| weylNodeSeparationMagnitude | Weyl node separation magnitude | number |
{
"input": {
"observedWeylNodeAReciprocalCoordinates": [
1,
2,
3
],
"observedWeylNodeBReciprocalCoordinates": [
4,
6,
3
]
},
"output": {
"directedWeylNodeSeparation": [
3,
4,
0
],
"weylNodeSeparationMagnitude": 5
}
}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 Weyl Fermi Arc Length Calculator: A traced Fermi arc has a polyline length that can exceed its endpoint chord. These two measurements summarize an independently ordered planar reciprocal-space trace. For a complementary step, use Semiconductor Z2 Invariant Calculator: The two-dimensional Fu–Kane parity construction uses occupied Kramers-pair parities at four time-reversal-invariant momenta. It applies only after inversion and time-reversal symmetry and the occupied pairs have been established.
References
Similar or alternative tools
- Semiconductor Weyl Fermi Arc Length Calculator
A traced Fermi arc has a polyline length that can exceed its endpoint chord. These two measurements summarize an independently ordered planar reciprocal-space trace.
- Semiconductor Z2 Invariant Calculator
The two-dimensional Fu–Kane parity construction uses occupied Kramers-pair parities at four time-reversal-invariant momenta. It applies only after inversion and time-reversal symmetry and the occupied pairs have been established.