Fat Saturation Frequency Offset Calculator

Actual fat relative water RFfrequencyoffsetHz=ppm×gammaMHz/T×T, signed multi-peak shift external; not choose fat-sat pulse/care protocol or clinical scanner safe-use.

Description

A chemical shift in ppm becomes a frequency offset when multiplied by a matched resonance-frequency basis.

A chemical shift in ppm becomes a frequency offset when multiplied by a matched resonance-frequency basis.1

This tool combines the supplied signed fat-relative-water shift, nucleus-specific cyclic ratio and field strength without selecting a pulse.

When to use Fat Saturation Frequency Offset Calculator

This tool combines the supplied signed fat-relative-water shift, nucleus-specific cyclic ratio and field strength without selecting a pulse.

How to use Fat Saturation Frequency Offset Calculator and how it works

  1. Prepare measured signed fat relative water shift ppm, matched nucleus cyclic gyromagnetic mhz per tesla, field tesla, using the input definitions and matching units below.
  2. Enter the required fields and run Fat Saturation Frequency Offset Calculator.
  3. Read result.value using the units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
callerMeasuredSignedFatRelativeWaterShiftPpmCaller Measured Signed Fat Relative Water Shift Ppm. Use the units and matching context stated in the calculation below.numberRequired; finite; other constraints below
callerMatchedNucleusCyclicGyromagneticMHzPerTeslaCaller Matched Nucleus Cyclic Gyromagnetic M Hz Per Tesla. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below
actualFieldTeslaActual Field Tesla. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Accept a finite signed independently measured fat-relative-water shift in ppm. Require positive matched cyclic gyromagnetic ratio in MHz/T and positive field in T. Multiply all three to return signed Hz; the MHz and ppm factors cancel. No fat peak, nucleus, pulse or scan setting is chosen.

offsetHz=shiftPpm*cyclicGammaMHzPerTesla*fieldTesla

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

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueSigned frequency offset in Hz.number
json
{
  "input": {
    "callerMeasuredSignedFatRelativeWaterShiftPpm": -3.5,
    "callerMatchedNucleusCyclicGyromagneticMHzPerTesla": 42.57747892,
    "actualFieldTesla": 2
  },
  "output": {
    "result": {
      "value": -298.04235244
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

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 STIR Inversion Time Calculator for a complementary operation: Ideal inversion recovery nulls a component at a time related to its longitudinal relaxation constant.

Use Chemical Shift Hz to PPM Converter for a complementary operation: A chemical shift in ppm expresses a signed frequency difference relative to a specified resonance frequency.

References

  1. Fat Saturation Frequency Offset Calculator — tool.io

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