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Orbital Occupation Parity Tool

Count supplied spatial-orbital occupations of zero, one or two electrons without inferring spin states.

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Description

Return exact occupation count and electron parity.

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 exact occupation count and electron parity.

When to use this tool

Use Orbital Occupation Parity when checking a supplied computational-chemistry count, coordinate, basis or weighting convention.

How to use the tool and how it works

  1. Enter occupations. 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 electronCountDecimal, odd. Inspect odd before interpreting the associated values.

Return exact occupation count and electron parity. Require whole occupations in [0,2]; sum using BigInt, return decimal text and odd from modulo two.1

Input fieldMeaning and unitsAccepted input
occupationsOccupationsRequired. Array of safe integer; maximum items 256.
Output fieldInterpretationReturned shape
electronCountDecimalElectron Count DecimalRequired. Text; maximum UTF-16 length 8192.
oddOddRequired. Boolean.
json
{
  "input": {
    "occupations": [
      2,
      2,
      1
    ]
  },
  "output": {
    "electronCountDecimal": "5",
    "odd": true
  }
}

Limitations and assumptions

  • Occupation bounds and parity do not establish a chemically valid configuration, spin state or orbital ordering.
  • 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.

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/orbital-occupation-parity — tool.io

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