Where \ mathbf { F } is the force-matrix operator, introduced in Diabatic, also known as the Non-Adiabatic Coupling Transformation ( NACT ) matrix:
22.
In the diabatic representation, the potential energy surfaces are smoother, so that low order Taylor series expansions of the surface capture much of the complexity of the original system.
23.
While the diabatic effects of sublimation, melting and evaporation play a role in influencing jet strength, these effects do not account for cases with strong rear-inflow jets.
24.
Diabatic surfaces representing donor ( blue ) and acceptor ( red ) species lead to adiabatic ground-state ( purple ) and excited state ( green ) surfaces once coupled.
25.
Alternatively, accurate solutions are often sought based on Born-Oppenheimer descriptions that do not require the introduction of diabatic models or restrictions concerning the number of included nuclear motions.
26.
In that theory, such a rapid change is said not to be " adiabatic ", and the contrary word " diabatic " is applied to it.
27.
For a transition involving a nonlinear change in perturbation variable or time-dependent coupling between the diabatic states, the equations of motion for the system dynamics cannot be solved analytically.
28.
The major role of atmospheric thermodynamics is expressed in terms of adiabatic and diabatic forces acting on air parcels included in primitive equations of air motion either as grid resolved or subgrid parameterizations.
29.
This figure describes reactions in terms of changes in occupied molecular orbitals, adopting the delocalized diabatic description presented by \ bf { H ^ { \ rm { D } } }.
30.
The properties of the donor and acceptor diabatic states, and by extension the reactant and product states of arbitrary chemical reactions, are mixed together according to adiabatic electron-transfer theory.
