Skip to content

Main content

Geometry Step Force Energy Sign

Return one first-order potential-energy change contribution -F·dx from explicit force and displacement components.

Loading tool…

Description

Calculate a supplied first-order force-displacement energy change.

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.

Calculate a supplied first-order force-displacement energy change.

When to use this tool

Use Geometry Step Force Energy Sign when you already have forceComponent, displacementComponent and need to calculate a supplied first-order force-displacement energy change.

How to use the tool and how it works

  1. Enter forceComponent, displacementComponent. 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 linearizedEnergyChange, downhill. Inspect downhill before interpreting the associated values.

Return -forceComponent*displacementComponent and downhill=forceComponent*displacementComponent>0.1

Input fieldMeaning and unitsAccepted input
forceComponentForce ComponentRequired. Finite number.
displacementComponentDisplacement ComponentRequired. Finite number.
Output fieldInterpretationReturned shape
linearizedEnergyChange-forceComponent*displacementComponent in consistent energy units.Required. Finite number.
downhillTrue strictly for forceComponent*displacementComponent>0; zero is false.Required. Boolean.
json
{
  "input": {
    "forceComponent": 2,
    "displacementComponent": 0.1
  },
  "output": {
    "linearizedEnergyChange": -0.2,
    "downhill": true
  }
}

Limitations and assumptions

  • A zero product is not downhill. Units/signs must match; no force, finite-step energy, gradient, optimization convergence or actual geometry is verified.
  • 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/geometry-step-force-energy-sign — tool.io

Similar or alternative tools