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Conformer Degeneracy Weight Term Tool

Return a log Boltzmann weight from compatible supplied energy units and positive degeneracy.

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Description

Return an unnormalized conformer log weight.

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 an unnormalized conformer log weight.

When to use this tool

Use Conformer Degeneracy Weight Term when checking a supplied computational-chemistry count, coordinate, basis or weighting convention.

How to use the tool and how it works

  1. Enter relativeEnergy, thermalEnergy, degeneracy. 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 logWeight. Use the output convention below.

Return an unnormalized conformer log weight. Require thermalEnergy > 0 and whole degeneracy >= 1; logWeight = ln(degeneracy)-relativeEnergy/thermalEnergy.1

Input fieldMeaning and unitsAccepted input
relativeEnergyRelative EnergyRequired. Finite number.
thermalEnergyEnergy kB*T per molecule or R*T per mole; must match relativeEnergy units.Required. Finite number; strictly above 0.
degeneracyDegeneracyRequired. Safe integer; minimum 1.
Output fieldInterpretationReturned shape
logWeightNatural logarithm of degeneracy*exp(-relativeEnergy/thermalEnergy); unnormalized.Required. Finite number.
json
{
  "input": {
    "relativeEnergy": 0,
    "thermalEnergy": 2,
    "degeneracy": 2
  },
  "output": {
    "logWeight": 0.6931471805599453
  }
}

Limitations and assumptions

  • Relative energy and thermal energy share units; thermalEnergy normally means kB*T per molecule or R*T per mole, and no population normalization occurs.
  • 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/conformer-degeneracy-weight-term — tool.io

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