The Gaussian-distributed random coil has been the dominant model for denatured proteins since the 1950s, and it has long been interpreted to mean that proteins are featureless, statistical coils in 6 M guanidinium chloride. Here, we demonstrate that random-coil statistics are not a unique signature of featureless polymers. The random-coil model does predict the experimentally determined coil dimensions of denatured proteins successfully. Yet, other equally convincing experiments have shown that denatured proteins are biased toward specific conformations, in apparent conflict with the random-coil model. We seek to resolve this paradox by introducing a contrived counterexample in which largely native protein ensembles nevertheless exhibit random-coil characteristics. Specifically, proteins of known structure were used to generate disordered conformers by varying backbone torsion angles at random for Ϸ8% of the residues; the remaining Ϸ92% of the residues remained fixed in their native conformation. Ensembles of these disordered structures were generated for 33 proteins by using a torsion-angle Monte Carlo algorithm with hard-sphere sterics; bulk statistics were then calculated for each ensemble. Despite this extreme degree of imposed internal structure, these ensembles have end-to-end distances and mean radii of gyration that agree well with random-coil expectations in all but two cases.T he protein folding reaction, unfolded (U)^native (N), is a reversible disorder^order transition. Typically, proteins are disordered (U) at high temperature, high pressure, extremes of pH, or in the presence of denaturing solvents, but they fold to uniquely ordered, biologically relevant conformers (N) under physiological conditions. With some exceptions (1), the folded state is the biologically relevant form, and it can be characterized to atomic detail by using x-ray crystallography and NMR spectroscopy. In contrast, our understanding of the unfolded state is based primarily on a statistical model, the random-coil model, which was developed largely by Flory (2) and corroborated by Tanford (3) in the 1950s and 1960s.In a random coil, the energy differences among sterically accessible backbone conformers are of order ϷkT (where k is Boltzmann's constant, and T is the absolute temperature). Consequently, there are no strongly preferred conformations, the energy landscape is essentially featureless, and a Boltzmann-weighted ensemble of such polymers would populate this landscape uniformly.Our motivation here is to dispel the belief, which is widespread among protein chemists, that the presence of random-coil statistics for denatured proteins confirms the absence of residual structure in these molecules. Indeed, it is well known to polymer chemists that rods of any stiffness (e.g., steel I-beams) behave as Gaussiandistributed, temperature-dependent random coils if they are long enough. Chains in which the persistence length exceeds one physical link can be treated effectively by rewriting them as polymers of Kuhn segments (ref. 2, pa...