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Spin Density Grid Cell Factor Tool

Calculate spin density grid cell factor from explicit caller-supplied inputs.

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Description

Return a spin-density cell contribution.

Computational chemistry separates composition and electron bookkeeping from basis conventions, coordinates, quadrature and energetic weights. A local exact count or unit conversion can be consistent without identifying a valid electronic state, optimized structure or normalized thermodynamic ensemble.

Return a spin-density cell contribution.

When to use this tool

Use Spin Density Grid Cell Factor when checking a supplied computational-chemistry count, coordinate, basis or weighting convention.

How to use the tool and how it works

  1. Enter spinDensity, cellVolume, multiplicityWeight. 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 contribution. Use the output convention below.

Return a spin-density cell contribution. Require cellVolume/multiplicityWeight >= 0; contribution = spinDensity*volume*weight.1

Input fieldMeaning and unitsAccepted input
spinDensitySpin DensityRequired. Finite number.
cellVolumeCell VolumeRequired. Finite number; minimum 0.
multiplicityWeightMultiplicity WeightRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
contributionContributionRequired. Finite number.
json
{
  "input": {
    "spinDensity": 0.2,
    "cellVolume": 3,
    "multiplicityWeight": 2
  },
  "output": {
    "contribution": 1.2000000000000002
  }
}

Limitations and assumptions

  • Spin density may be signed; multiplicity and quadrature conventions are supplied, not a verified integrated spin or electronic state.
  • 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 a complete verified electronic-structure or statistical-mechanical model and compatible property/unit conventions for actual molecular inference.

References

  1. Calculation and input contract: computational-chemistry/spin-density-grid-cell-factor — tool.io

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