In the same derivation of the branching point mentioned above, Tersoff derives the barrier height to be:
Note that, if the energy of the particle is below the barrier height, becomes imaginary and the wave function is exponentially decaying within the barrier.
Note that the probabilities and amplitudes as written are for any energy (above/below) the barrier height.
The barrier heights and transition energies are given in the upper part of table 1.
Analysis of the barrier heights indicates that the π-bonding between most metals and the alkene is weaker than the σ-bonding.
In addition, semiconductors with smaller bandgaps more readily form ohmic contacts because their electron affinities (and thus barrier heights) tend to be lower.
This model is the first of its kind in physical biochemistry that enables the determination of barrier heights from equilibrium experiments.
The symmetry-imposed barrier heights of group transfer reactions can also be analyzed using correlation diagrams.
The Woodward-Hoffmann rules are used to predict relative barrier heights, and thus likely reaction mechanisms.
The barrier heights, together with the even higher energy barriers that provide the walls of the reaction coordinates along which the reaction proceeds, constitute the constraints.