The essay is dedicated to the relation of symmetry and asymmetry-chirality in Nature. The Introduction defines symmetry and its impact on basic definitions in science and human activities. The following section Chirality of molecules reveals breifly development of notion of chirality and its significance in living organisms and science. Homochirality is a characteristic hallmark of life and its significance is presented in the section Homochirality of Life. Proteins, important constituents of living cells performing versatile functions are chiral macromolecules composed of L-amino acids. In particular, the protein assemblies are of a great importance in functions of a cell. Therefore, they have attracted researches to examine them from different points of view. Among proteins of known three-dimensional structures about 50–80% of them exist as homomeric protein complexes. Protein monomers lack any intrinsic, underlying symmetry, i.e. enantiomorphic protein molecules involve left-handed amino acids but their asymmetry does not appear to extend to the level of quaternary structures (homomeric complexes) as observed by Chothia in 1991. In the section Homomeric assemblies we performed our analysis of very special cases of homomers revealing non-crystallographic symmetry in crystals. Homochiral proteins can crystallize only in enantiomorphic space groups. Among 230 existing space groups 65 are enantiomorphic containing limited symmetry elements that are rotation and screw-rotation axes. Any axis of rotation symmetry of a crystal lattice must be two-fold, three-fold, four-fold, or six-fold. Five-fold, seven-fold, and higher-fold rotation symmetry axes are incompatible with the symmetry under spatial displacement of the three-dimensional crystal lattice.

Even with decades of research, purine nucleoside phosphorylases (PNPs) are enzymes whose mechanism is yet to be fully understood. This is especially true in the case of hexameric PNPs, and is probably, in part, due to their complex oligomeric nature and a whole spectrum of active site conformations related to interactions with different ligands. Here we report an extensive structural characterization of the apo forms of hexameric PNP from Helicobacter pylori (HpPNP), as well as its complexes with phosphate (P_i) and an inhibitor, formycin A (FA), together with kinetic, binding, docking and molecular dynamics studies. X‐ray structures show previously unseen distributions of open and closed active sites. Microscale thermophoresis results indicate that a two‐site model describes P_i binding, while a three‐site model is needed to characterize FA binding, irrespective of P_i presence. The latter may be related to the newly found nonstandard mode of FA binding. The ternary complex of the enzyme with P_i and FA shows, however, that P_i binding stabilizes the standard mode of FA binding. Surprisingly, HpPNP has low affinity towards the natural substrate adenosine. Molecular dynamics simulations show that P_i moves out of most active sites, in accordance with its weak binding. Conformational changes between nonstandard and standard binding modes of nucleoside are observed during the simulations. Altogether, these findings show some unique features of HpPNP and provide new insights into the functioning of the active sites, with implications for understanding the complex mechanism of catalysis of this enzyme.Databases: The atomic coordinates and structure factors have been deposited in the Protein Data Bank: with accession codes 6F52 (HpPNPapo_1), 6F5A (HpPNPapo_2), 6F5I (HpPNPapo_3), 5LU0 (HpPNP_PO4), 6F4W (HpPNP_FA) and 6F4X (HpPNP_PO4_FA).Enzymes: Purine nucleoside orthophosphate ribosyl transferase, EC2.4.2.1, UniProtID: P56463

Chiral amino acid and biphenyl incorporating oxalamide gelators 4–7 with large, 9 bond distance between chiral centres and biphenyl units have been studied. CD investigation of 4-octanol gel and the crystal structure of rac-4 reveal that efficient central to axial chirality transfer occurs by intermolecular interactions in gel and solid state assemblies.

The trans-configured square-planar complex of dichloropalladium and chiral monodentate phosphine ligands forms self-complementary dimers through 16 hydrogen bonded amides and π–π stacking in chlorinated solvents. The self-assembly is controlled by cis–trans isomerisation of the metal center, where the trans-configuration governs the dimer formation.

Purine nucleoside phosphorylase (PNP) catalyses the cleavage of the glycosidic bond of purine nucleosides using phosphate instead of water as a second substrate. PNP from Escherichia coli is a homohexamer, build as a trimer of dimers, and each subunit can be in two conformations, open or closed. This conformational change is induced by the presence of phosphate substrate, and very likely a required step for the catalysis. Closing one active site strongly affects the others, by a yet unclear mechanism and order of events. Kinetic and ligand binding studies show strong negative cooperativity between subunits. Here, for the first time, we managed to monitor the sequence of nucleoside binding to individual subunits in the crystal structures of the wild-type enzyme, showing that first the closed sites, not the open ones, are occupied by the nucleoside. However, two mutations within the active site, Asp204Ala/Arg217Ala, are enough not only to significantly reduce the effectiveness of the enzyme, but also reverse the sequence of the nucleoside binding. In the mutant the open sites, neighbours in a dimer of those in the closed conformation, are occupied as first. This demonstrates how important for the effective catalysis of Escherichia coli PNP is proper subunit cooperation.