A comprehensive analysis of crystallographic data of 565 high-resolution protein homodimers comprised of over 250,000 residues suggests that amino acids form two groups that differ in their tendency to distort or symmetrize the structure of protein homodimers. Residues of the first group tend to distort the protein homodimer and generally have long or polar side chains. These include: Lys, Gln, Glu, Arg, Asn, Met, Ser, Thr and Asp. Residues of the second group contribute to protein symmetry and are generally characterized by short or aromatic side chains. These include: Ile, Pro, His, Val, Cys, Leu, Trp, Tyr, Phe, Ala and Gly. The distributions of the continuous symmetry measures of the proteins and the continuous chirality measures of their building blocks highlight the role of side chain geometry and the interplay between entropy and symmetry in dictating the conformational flexibility of proteins.

Only after the RBD has migrated and changed the protein's symmetry can the SARS-CoV-2 spike protein bind to the human receptor. The distortion level of the initial state can predict the spike's transmissibility.

The gas-phase structure of 18-crown-6 in the presence of Li+ and Na+ cations is highly flexible and generally distorted. Using density functional theory calculations, natural bond orbital analysis, and symmetry measures, we reveal the driving forces behind the structural and energy trends of 18-crown-6 and its phenyl substituents. We show that the structural deviation from C 3-symmetry increases with the non-bonded interactions between the occupied spx orbitals of the crowns’ oxygen atoms and the unoccupied 2s orbital of the cation. These orbital interactions are strongly correlated with the overall host–guest interaction energy. Our approach highlights the role of non-bonded interactions and paves the way for deeper understanding of structure–reactivity relations of flexible host–guest systems.