Take a harmonic oscillator in equilibrium with its environment.
Other examples include trajectories of a harmonic oscillator in equilibrium with a thermal bath, and trajectories of particles in a gas (without which the classical derivation of thermodynamics from statistical mechanics would make no sense; see below Section 4).
When the system is in equilibrium, small harmonic vibrations are applied vertically to the base of the isolators, and the steady-state response of the system is determined.
A harmonic bond with an equilibrium length of 5 Å and force constant 10 kJ mol 1 Å–2 was also applied between the backbone beads of Cys181 and Leu184 to maintain the horseshoe-shape propensity that has been observed in numerous experimental studies.
Equilibrium distances, binding energies, harmonic vibrational frequencies and local charges have been calculated.
We report energies, equilibrium geometric parameters, selected harmonic vibrational wavenumbers along with corresponding absorption coefficients and compare the different computational approaches.
Using the dissociation energy, equilibrium internuclear distance and harmonic vibrational frequency, we calculate the molar entropy values of the gaseous phosphorus dimer.
Anisotropic Network Model (Atilgan et al. 2001) predicts the directionalities and magnitudes of the motions of protein structures around their equilibrium states by a harmonic vibrational analysis.
As mentioned, NMA-based models, at fine or coarse-grained levels, are not as valid in handling large configurational changes in protein, which demand crossings of multiple energy barriers, as handling small changes, due to their harmonic approximations for energy minima at equilibrium.
Drummond, P., McNeil, K. & Walls, D. Non-equilibrium transitions in sub/second harmonic generation.
