What role does side-chain packing play in protein stability and structure? To address this question, we compare a lattice model with side chains (SCM) to a linear lattice model without side chains (LCM). Self-avoiding configurations are enumerated in 2 and 3 dimensions exhaustively for short chains and by Monte Carlo sampling for chains up to 50 main-chain monomers long. This comparison shows that (1) side-chain degrees of freedom increase the entropy of open conformations, but side-chain steric exclusion decreases the entropy of compact conformations, thus producing a substantial entropy that opposes folding; (2) there is a side-chain "freezing" or ordering, Le., a sharp decrease in entropy, near maximum compactness; and (3) the different types of contacts among side chains (s) and main-chain elements ( m ) have different frequencies, and the frequencies have different dependencies on compactness. m m contacts contribute significantly only at high densities, suggesting that mainchain hydrogen bonding in proteins may be promoted by compactness. The distributions of mrn, ms, and ss contacts in compact SCM configurations are similar to the distributions in protein structures in the Brookhaven Protein Data Bank. We propose that packing in proteins is more like the packing of nuts and bolts in a jar than like the pairwise matching of jigsaw puzzle pieces.Keywords: conformational entropy; lattice model; protein stability; side-chain freezing; side-chain packing When a polymer becomes compact, as when a protein folds to its native state, the main chain loses degrees of freedom, incurring a large loss of entropy. Main-chain configurational entropy is a strong force opposing the stability of native proteins (Dill, 1985(Dill, , 1990. How do side chains contribute to the configurational entropy of protein conformations? Is there "side-chain freezing," i.e., a large sharp loss of degrees of freedom as the side chains pack into compact native conformations? We explore these issues with a simple model that can be studied rigorously.The inference that side-chain packing is important to protein stability has been drawn from several lines of evidence. Side chains in the hydrophobic cores of proteins are tightly packed (Richards, 1974(Richards, , 1977Richards & Lim, 1994) and proteins have low compressibilities (Klapper, 1971;Eden et al., 1982;Gavish et al., 1983;Kundrot & Richards, 1987). Many core side-chain motions are hindered or eliminated in native proteins (Gurd & Rothgeb, 1979;Wagner, 1983;McCammon & Harvey, 1987). Side-chain packing may also be important to the kinetics of folding. Ptitsyn (1987) and Ptitsyn et al. (1990) is critical. Rey and Skolnick (1993) have shown that the addition of model side chains to a model main chain in a computer simulation of protein folding reduces the number of pathways that lead to the native state, and Handel et al. (1993) have shown that it is not easy to design sequences that can fold to conformations with immobilized side chains.We can imagine a range of models of how sid...