Skip to content

Main content

Molecular Bond Length Residual

Describe signed and squared bond-length residuals against an explicit target in the same length unit.

Loading tool…

Description

Compare a supplied bond length with a nonnegative target.

Molecular calculations use explicit energy, time, coordinate, spin and basis-function conventions. Spherical orbital degeneracy differs from Cartesian function count, an orbital-energy gap differs from an excitation energy, and a force-displacement energy term is local. Supplied occupations and reference values do not establish a converged electronic state or chemical interpretation.

Compare a supplied bond length with a nonnegative target.

When to use this tool

Use Molecular Bond Length Residual when you already have observedLength, targetLength and need to compare a supplied bond length with a nonnegative target.

How to use the tool and how it works

  1. Enter observedLength, targetLength. 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 residual, squaredResidual. Use the output convention below.

Require both lengths>=0; return observed-target and its square.1

Input fieldMeaning and unitsAccepted input
observedLengthObserved LengthRequired. Finite number; minimum 0.
targetLengthTarget LengthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
residualResidualRequired. Finite number.
squaredResidualSquared ResidualRequired. Finite number.
json
{
  "input": {
    "observedLength": 1.5,
    "targetLength": 1.4
  },
  "output": {
    "residual": 0.10000000000000009,
    "squaredResidual": 0.010000000000000018
  }
}

Limitations and assumptions

  • Units and atom pairs must match. No geometry, bond, force constant, restraint energy or actual structure is inferred.
  • 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

Inspect the full computational method, basis, geometry, reference state and convergence records. Use a complete electronic-structure or dynamics calculation for physical conclusions; local sign, unit and index transformations do not perform that calculation.

References

  1. Calculation and input contract: computational-chemistry/molecular-bond-length-residual — tool.io

Similar or alternative tools