Proton Gyromagnetic Ratio Lookup

Bounded off line reference: 1Hproton approximate cyclic gyromagnetic reference, not equipment calibration or scanner operating permission. Topics: MHz-per-T, angular-units. Not live/exhaustive reference, a proof of an open assertion, diagnosis or safe-use approval.

Description

A gyromagnetic ratio connects resonance frequency with magnetic field for a specified nucleus.

A gyromagnetic ratio connects resonance frequency with magnetic field for a specified nucleus.1

This tool returns a stored approximate proton cyclic-frequency reference or an explanation of conversion to angular units.

When to use Proton Gyromagnetic Ratio Lookup

Read a bounded educational reference for one of the supported topics.

How to use Proton Gyromagnetic Ratio Lookup and how it works

  1. Choose a supported exact topic from the table below.
  2. Enter that topic token and run the tool.
  3. Read result.text and its scope or precision limitations.
  4. Correct an unsupported token before rerunning; use an independently applicable reference when more detail or current evidence is required.
Input fieldMeaningValue typeRequirement
topicTopic. Use the units and matching context stated in the calculation below.stringRequired; other constraints below

Choose one exact case-sensitive topic: MHz-per-T, angular-units. The implementation matches that token to a stored text record and returns result.text unchanged. Unknown tokens, blank strings and wrong input types are errors; no case folding or live lookup occurs. These are bounded educational records, not a calculation from observations, a proof search, a patient assessment or an arbitrary-precision value. The supported topic inventory below identifies the available records.

text=storedInventory[exactTopic]

Apply the input ordering, units and branch conditions stated above.

Exact topic tokenRecord selected
MHz-per-TStored m hz-per-t reference.
angular-unitsStored angular-units reference.
Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.textExact stored educational record selected by the supported topic token.string
json
{
  "input": {
    "topic": "MHz-per-T"
  },
  "output": {
    "result": {
      "text": "Approximate 1Hproton gyromagnetic ratio gamma/(2pi) = 42.57747892 MHz/T. Positive signed convention; isotope/nuclear/environment precision independently verified."
    }
  }
}

Limitations and assumptions

This is a stored text inventory. It does not calculate from measurements, obtain live data, prove an infinite assertion, classify a patient or certify arbitrary precision.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Na23 Gyromagnetic Ratio Lookup for a complementary operation: Sodium-23 has a nucleus-specific gyromagnetic ratio whose cyclic and angular forms use different units.

Use C13 Gyromagnetic Ratio Lookup for a complementary operation: Carbon-13 resonance uses a gyromagnetic ratio distinct from that of hydrogen.

References

  1. Proton Gyromagnetic Ratio Lookup — tool.io

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