Based on a database of 11 664 RHF/4-21G ab initio gradient-optimized structures of N-formyl-l-alanyl-l-alanine amide (ALA-ALA), the local geometries and torsional sensitivity of this compound were analyzed to
test the dipeptide approximation frequently used in peptide conformational analyses. This database was
generated by optimizing the geometries of this compound at grid points in its four-dimensional (φ1,ψ1,φ2,ψ2)
conformational space defined by 40° increments along the outer torsions φ1 and ψ2, and by 30° increments
along the inner torsions ψ1 and φ2. Using cubic spline functions, the grid structures were then used to construct
analytical representations of complete surfaces of the structural parameters of ALA-ALA, and of their gradients,
in (φ1,ψ1,φ2,ψ2) space. Analysis of the structural surfaces shows not only that the structure of a given residue
in a peptide chain depends acutely on the conformational state of a neighboring residue but also that the
interresidue effects differ, depending on whether they are transmitted from right to left or from left to right
in the peptide chain. Structural gradients are a qualitative measure of the torsional sensitivity, and therefore
of the density of states and contributions to vibrational entropy. Analyses of the gradient surfaces show that
the density of states in a residue is significantly affected by the dynamics of a neighboring residue. This
opens the possibility of dynamic entropic conformational steering in extended peptide chains, i.e., the generation
of free energy contributions from dynamic effects of one part of a molecule on another, possibly stabilizing
a conformational region of a PES whose static energy profile is less favorable compared to other regions.
The gradient trends illustrate how the overall stability of a complex molecule is not only a function of how
the static energy minima of its isolated subunits combine but also of how the dynamics of the subunits interact
with one other. These interactions between individual residues represent a hidden cooperative effect that is
not apparent at all in the dynamics of isolated dipeptide units.