Optimization and Frequencies

Python API · stjames models · API example

How it works

Optimize a molecular geometry, check whether it is a local minimum, and calculate vibrational frequencies and molecular thermochemical corrections. Frequencies describe small motions around the final geometry; they do not establish that it is the lowest-energy conformer.

Settings

  • Tasks: select "Optimize" and "Frequencies." The initial form selects only "Optimize," so frequencies must be added.
  • Method and solvent: choose a method that supports frequencies and use the same settings for optimization and frequency analysis. See geometry optimization for method, solvent, and constraint choices. COSMO-RS basic calculations support energy only.
  • Convergence: "Geometry optimization mode" controls optimization tolerances. Check convergence warnings: frequencies can be calculated at the final geometry even when optimization has not converged.

Notes

A molecular minimum should have no imaginary vibrational frequencies, displayed as negative values. Click a frequency to animate its motion. Small negative values can reflect numerical noise; inspect the mode and consider tighter optimization before accepting the structure. Constraints can prevent a structure from reaching an unconstrained minimum.

Molecular frequencies come from the mass-weighted Hessian after removing translation and rotation, following Gaussian's vibrational analysis reference. IR intensities are available only when supported by the selected method. Periodic calculations return Γ-point phonons without the molecular thermochemical corrections below; these do not test stability throughout the Brillouin zone.

Interpreting thermochemistry

The molecular calculation uses a rigid-rotor/harmonic-oscillator model at 298.15 K with a 1 atm ideal-gas standard state, following Gaussian's thermochemistry reference. Selecting an implicit solvent does not automatically convert the translational entropy to a 1 M solution standard state.

Reported quantityMeaning
"Electronic energy"Energy at fixed nuclear positions, excluding nuclear motion.
"Zero-point energy"Vibrational energy present even at absolute zero.
"Thermal energy corr."Zero-point energy plus finite-temperature translational, rotational, and vibrational energy.
"Enthalpy correction"Thermal energy correction plus the ideal-gas pressure–volume term, RT per mole.
"Gibbs free energy corr."Enthalpy correction minus temperature times entropy, including translational, rotational, vibrational, and electronic contributions.
"Total thermal energy," "Total enthalpy," and "Total Gibbs free energy"Electronic energy plus the corresponding correction.

Do not add zero-point energy again to a thermal correction: it is already included. Rowan excludes imaginary modes from thermochemistry and raises real frequencies below 100 cm−1 to 100 cm−1 only when calculating vibrational entropy (the Cramer–Truhlar correction). This does not change the displayed frequencies or zero-point energy.

Compare conformers or balanced reactions using consistent methods, solvent settings, temperatures, and standard states. These values describe one geometry; conformer populations and anharmonic motion can affect experimental free energies.

Submission video

Further reading