S-sulfhydration is generally anticipated to proceed through the transfer of the SH group (Nu-SH···(-)S-R → Nu(-)···HS-S-R). The other route involves the sulfur atom (S(0)) transfer between two sulfhydryl anions (Nu-S(-)···(-)S-R → Nu(-)···(-)S-S-R) and is considered electrostatically unfavorable. Mercaptopyruvate sulfurtransferase (MST, PDB code: 4JGT ) catalyzes sulfur transfer from mercaptopyruvate to sulfur acceptors, and the first step of the reaction is the formation of cysteine (Cys248) persulfide via S-sulfhydration. Mechanistic studies on S-sulfhydration in MST using QM/MM methods show that the sulfur atom transfer initialized by the deprotonation of the Ser250/His74/Asp63 triad is kinetically preferred to the SH-promoted sulfur transfer. The calculated barrier of approximately 16 kcal mol(-1) for the S(0) transfer agrees well with experimental results. The electrostatic repulsion during the S(0) transfer can be sophisticatedly reduced by the aid of the Cys248-Gly249-Ser250-Gly251-Val252-Thr253 (CGSGVT) loop. Electrostatic potentials and frontier orbitals are also analyzed for the persulfide anion surrounded by the loop. The sulfur atom transfer which is seldom regarded possible is therefore facilitated with the assistance of the triad and the loop in the enzyme.

Chirality-switchable, 4-aminopyridine-based, pseudo-enantiomeric helicenes can catalyze enantiodivergent Steglich rearrangement in up to 91% ee (R) and 94% ee (S), respectively.

Allenoates and enones form cyclopentenes via a phosphine-catalyzed [3 + 2] cycloaddition while the amine-catalyzed [2 + 4] cycloaddition yields dihydropyrans or pyrans. The difference between these catalysts is studied with M06-2X/6-31+G* calculations. The addition of the catalyst to the allenoate is the first step in both pathways followed by the reaction with the enone. The formation of the [3 + 2] phosphorus-ylide is exergonic, and hence, the [3 + 2] cycloaddition is kinetically favored over the [2 + 4] addition. Amines do not stabilize [3 + 2] ammonium-ylides. However, electron-withdrawing groups on the enone enable [2 + 4] cycloadditions. The strength of the electron-withdrawing group further controls the α/γ regioselectivity of the [2 + 4] cycloaddition, and the analysis of the HOMO-LUMO interactions explains why only E-dihydropyrans from the direct γ-[2 + 4] cycloaddition have been observed in experiments. The quantum calculations further reveal a new path to the α-[2 + 4] product starting with an intermediate Rauhut-Currier reaction. This new path is kinetically favored over the direct amine-catalyzed α-[2 + 4] cycloaddition.

The retro-aldol reaction catalyzed by pyruvate class II aldolase is investigated with QM/MM metadynamics; this enzyme transforms the substrate of 4-hydroxy-2-ketoacid into pyruvate and aldehyde through the aldol cleavage. The hydroxyl group of the substrate is deprotonated by His45 with the aid of the metal-bound water, while the metal-bound hydroxide proposed in the literature is observed as a transient species. The deprotonation appears to enhance substrate binding between the deprotonated substrate and the active site. The reactive alkoxide is further stabilized by the salt bridge of Arg70–Asp42, facilitating the following aldol cleavage. The simulations show that the C–C bond cleavage is the rate-determining step, and the calculated barrier of approximately 14 kcal mol–1 agrees reasonably with experimental data.

Several chemical properties of Lewis base-allenoate adducts (LB·allenoate), such as solvent effect, basicity, nucleophilicity and cycloaddition, are studied to provide a detailed foundation for the analysis of LB-catalyzed reactions of allenoates. The zwitterionic LB·allenoates formed between methyl allenoate and Lewis bases, such as N-heterocyclic carbenes (NHCs), phosphines, amines and aza-heterocycles, are studied at the M06-2X/6-31+G* level. The addition of the LBs to the allenoate can yield Z- or E-type adducts. The formation of the Z-type adducts is more favorable in the gas phase due to electrostatic interactions. The yield of the E-type adducts increases with the permittivity of the solvent. The lowest barriers for the addition and the most stable adducts are observed with NHCs as catalysts. It is also shown that the α-carbon atom of the allenic moiety in LB·allenoate is more nucleophilic than the γ-carbon atom. Aza-arenes, phosphines and NHCs stabilize the [3 + 2]-ylides formed by the cycloaddition of LB·allenoate to ethylene; therefore, these LBs thermodynamically support the [3 + 2] cycloadditions. The detailed analysis of [3 + 2]-, [2 + 4]-, [2 + 2]- and [2 + 2 + 2]-cycloadditions with enones/ketones shows that the amine-catalyzed reactions follow the kinetically preferred path, and that the exergonic formation of the P-ylide favors the [3 + 2] cycloaddition in the phosphine-catalyzed reaction. The thermodynamically preferred pathway is followed with NHCs whereas the high stability of NHC·allenoate adducts reduces the overall catalytic efficiency of NHCs.