Previous work has shown, for a single bending mode deformation in a small to moderate range of strains, the ∆E a can be well represented by a simple linear relation with strain energy. Here, our linear relation is the projection constant ϕ (as a constant scalar) multiplied by ∆U (χ), the strain energy in the mode as a function of the dihedral angle. This function ∆U (χ) can be any well behaved function that defines the system. This results in a rate constant expression of: