Semiconductor Donor Qubit Hyperfine Interaction Calculator

Infer donor hyperfine spacing from independently assigned spectral transitions and explicit Δm, retain signed assignments; no donor-specific constant or automatic level identification.

Description

Assigned donor hyperfine transition spacing depends on the independently established magnetic-quantum-number difference.

Assigned donor hyperfine transition spacing depends on the independently established magnetic-quantum-number difference.1

Keeping the signed measured spacing preserves assignment inconsistencies.

When to use Semiconductor Donor Qubit Hyperfine Interaction 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 Donor Qubit Hyperfine Interaction Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter observedDonorHyperfineUpperHz, observedDonorHyperfineLowerHz, callerIndependentlyAssignedDeltaM, following the field table and calculation rules below, then run the tool.
  3. Read inferredDonorHyperfineCouplingHz. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
  4. 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 fieldMeaningValue typeRequirement
observedDonorHyperfineUpperHzObserved donor hyperfine upper hzlist of numberRequired
observedDonorHyperfineLowerHzObserved donor hyperfine lower hzlist of numberRequired
callerIndependentlyAssignedDeltaMCaller independently assigned delta mlist of numberRequired

Use nonempty aligned upper-frequency, lower-frequency, and positive Δm lists. Subtract lower from upper and divide by the supplied Δm. The implementation accepts fractional Δm and signed transition frequencies.

A_i=(fupper_i−flower_i)/Δm_i

Read these symbols with the field meanings and branch or reference rules above.

Output fieldMeaningValue type
inferredDonorHyperfineCouplingHzInferred donor hyperfine coupling hzlist of number
json
{
  "input": {
    "observedDonorHyperfineUpperHz": [
      100,
      200
    ],
    "observedDonorHyperfineLowerHz": [
      90,
      180
    ],
    "callerIndependentlyAssignedDeltaM": [
      1,
      2
    ]
  },
  "output": {
    "inferredDonorHyperfineCouplingHz": [
      10,
      10
    ]
  }
}

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 Flux Qubit Tunelling Splitting Calculator: An observed qubit anticrossing has a sampled transition-splitting minimum. Tied minimum detunings preserve ambiguity instead of identifying a unique unsampled tunnel coupling. For a complementary step, use Semiconductor Dirac Fermi Velocity Calculator: A band-energy slope with respect to wavevector gives a signed group-velocity scale under a matched linear-branch convention. Using joules, inverse metres, and the supplied reduced Planck constant keeps the SI conversion explicit.

References

  1. Semiconductor Donor Qubit Hyperfine Interaction Calculator — tool.io

Similar or alternative tools

  • Semiconductor Flux Qubit Tunelling Splitting Calculator

    An observed qubit anticrossing has a sampled transition-splitting minimum. Tied minimum detunings preserve ambiguity instead of identifying a unique unsampled tunnel coupling.

  • Semiconductor Dirac Fermi Velocity Calculator

    A band-energy slope with respect to wavevector gives a signed group-velocity scale under a matched linear-branch convention. Using joules, inverse metres, and the supplied reduced Planck constant keeps the SI conversion explicit.

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