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Conversion: Volume Susceptibility Mass Susceptibility Tool

Convert dimensionless SI volume magnetic susceptibility to mass susceptibility using explicit matching-state density; no cgs/4pi assumption or material data.

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Description

Convert volume magnetic susceptibility to a mass basis.

Signed and complex response quantities require an explicit convention as well as compatible units. A reciprocal, density change or loss magnitude can preserve algebra while the physical sign, frequency dependence and material interpretation remain separate questions.

Convert volume magnetic susceptibility to a mass basis.

When to use this tool

Use Conversion: Volume Susceptibility Mass Susceptibility when converting the stated signed, complex or response-property basis.

How to use the tool and how it works

  1. Enter volumeSusceptibility, density. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Convert volume magnetic susceptibility to a mass basis. Require density > 0; massSusceptibility = volumeSusceptibility/density.1

Input fieldMeaning and unitsAccepted input
volumeSusceptibilityVolume SusceptibilityRequired. Finite number.
densityDensity on the same physical and unit basis as the supplied reference or component; see the formula above.Required. Finite number.
Output fieldInterpretationReturned shape
resultReturned calculated value or nested object under the stated output convention.Required. Object.
result.massSusceptibilityVolume susceptibility divided by density; SI m³/kg when density is kg/m³.Calculated result member: number.
json
{
  "input": {
    "volumeSusceptibility": 0.002,
    "density": 2
  },
  "output": {
    "result": {
      "massSusceptibility": 0.001
    }
  }
}

Limitations and assumptions

  • Use a consistent susceptibility convention; SI dimensionless volume susceptibility with kg/m³ gives m³/kg, without SI/cgs conversion.
  • Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use the applicable SI/cgs, complex-phase and material-response conventions; use full tensor or frequency-dependent models where scalar relations are insufficient.

References

  1. Calculation and input contract: convert/volume-susceptibility-mass-susceptibility — tool.io

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