Mechanisms of reactions of sulfur hydride hydroxide: tautomerism, condensations, and C-sulfenylation and O-sulfenylation of 2,4-pentanedione.

The conformations, equilibrium structures, hydrogen bonds, and non-covalent interactions involved in the mechanisms of tautomerization, condensations, and C-sulfenylation and O-sulfenylation of 2,4-pentanedione by sulfur hydride hydroxide (hydrogen thioperoxide, oxadisulfane, H-SOH) have been studied using BD(T), CCSD(T), and QCISD(T) with the cc-pVTZ basis set and using B3LYP, B3PW91, CAM-B3LYP, PBE1PBE, PBEh1PBE, LC-ωPBE, M06-2X, and ωB97XD with the 6-311+G(d,p) basis set. All levels of theory predict the sulfenyl (H-SOH) tautomer of hydrogen thioperoxide to be lower in energy than the sulfinyl (H2S═O) tautomer. Four reasonable mechanisms were considered for the tautomerization of the sulfenyl tautomer of hydrogen thioperoxide to the sulfinyl tautomer: a cyclic three-membered water-free transition state (TS, CCSD(T) activation energy barrier E(⧧) = 65.1 kcal/mol), a cyclic five-membered transition state with one water molecule (TSH2O, E(⧧) = 31.1 kcal/mol), a cyclic seven-membered transition state with two water molecules (TS2H2O, E(⧧) = 14.5 kcal/mol), and a cyclic nine-membered transition state with three water molecules (TS3H2O, E(⧧) = 5.6 kcal/mol). The mechanisms involve hydrogen-bonded reactant complexes and hydrogen-bonded product complexes. The CCSD(T)-predicted energy barriers for the condensation of hydrogen thioperoxide to form thiosulfinic acid through transition states with zero, one, and two waters are E(⧧) = 42.0, 18.3, and 0 kcal/mol, respectively. Mixed condensation reactions are predicted to afford organosulfur products and compounds containing sulfur-selenium bonds. Hydrogen thioperoxide is predicted to add to 2,4-pentanedione to form C-sulfenylated (sulfide, thioether) and O-sulfenylated (sulfenate ester) products. Similar mechanistic trends and reaction pathways are observed in the tautomerism, condensations, and C-sulfenylation and O-sulfenylation reactions of hydrogen thioperoxide. The water molecules set up proton relay networks (bridges) that reduce ring strain, generate favorable conformations for reactivity, lower energy barriers, and increase the numbers of stabilizing hydrogen bonds and nonbonding interactions.

Mechanism of the cysteine sulfenic acid O-sulfenylation of 1,3-cyclohexanedione.

The density functionals B3LYP, B3PW91, M062X, and CAM-B3LYP with the 6-311+G(d,p) basis set predict the cysteine sulfenic acid O-sulfenylation of the s-cis-ketoenol tautomer of 1,3-cyclohexanedione proceeds through a cyclic 14-membered transition state structure containing three water molecules.

Conformers of cysteine and cysteine sulfenic acid and mechanisms of the reaction of cysteine sulfenic acid with 5,5-dimethyl-1,3-cyclohexanedione (dimedone).

Equilibrium and molecular structures, relative energies of conformers of gaseous cysteine (Cys, C, Cys-SH) and gaseous cysteine sulfenic acid (Cys-SOH), and the mechanisms of the reaction of Cys-SOH with 3-hydroxy-5,5-dimethyl-2-cyclohexen-1-one, the enol tautomer of 5,5-dimethyl-1,3-cyclohexadione (dimedone), have been studied using BD(T), CCSD(T), and QCISD(T) with the cc-pVTZ basis set and using MP2 and the density functionals B3LYP, B3PW91, PBE1PBE, PBEh1PBE, M062X, CAM-B3LYP, and WB97XD with the 6-311+G(d,p) basis set. The structures of the six lowest energy conformers of gaseous Cys-SOH are compared with the six lowest energy conformers of gaseous cysteine (Cys-SH). The relative stability of the six lowest energy conformers of Cys-SH and Cys-SOH are influenced by the interplay among many factors including dispersive effects, electronic effects, electrostatic interactions, hydrogen bonds, inductive effects, and noncovalent interactions. The mechanism of the addition of the lowest energy conformer of cysteine sulfenic acid (Cys-SOH) to dimedone may proceed through a six-membered ring transition state structure and through cyclic hydrogen-bonded transition state structures with one water molecule (8-membered ring), with two water molecules (10-membered ring), and with three water molecules (12-membered ring). Inclusion of one and two water molecules in the transition state structures lowers the activation barrier, whereas inclusion of a third water molecule raises the activation barrier.

Dehydrative cyclocondensation mechanisms of hydrogen thioperoxide and of alkanesulfenic acids.

Structural features of hydrogen thioperoxide (oxadisulfane, H-S-O-H) and of alkanesulfenic acids (R-S-O-H; R = CH3, CH2CH3, CH2CH2CH3, CH(CH3)2, C(CH3)3, CF3, CCl3) and the mechanisms of their dehydrative cyclocondensation to the respective sulfinothioic acid (H-(S═O)-S-H) and alkyl alkanethiosulfinates (R-(S═O)-S-R) have been studied using coupled cluster theory with single and double and perturbative triple excitations [CCSD(T)] and quadratic configuration interaction with single and double and perturbative triple excitations [QCISD(T)] with the cc-pVDZ basis set and also using second-order Møller-Plesset perturbation theory (MP2) and the hybrid density functionals B3LYP, B3PW91, and PBE1PBE with the 6-311+G(d,p) basis set. The concerted cyclodehydration mechanisms include cyclic five-center transition states with relatively long distance sulfur-sulfur bonding interactions. Attractive and repulsive nonbonding interactions are predicted in the sulfenic acids, transition states, and thiosulfinates. In the alkyl alkanethiosulfinates attractive cyclic C-H----O═S nonbonding interactions are predicted. CCSD(T) and QCISD(T) predict similar values for the relative energies and CCSD(T) predicts the barrier to the cyclocondensation of H-S-O-H to sulfinothioic acid (H-(S═O)-S-H) to be 41.8 kcal/mol, and barriers in the range of 37.5 to 39.6 kcal/mol are predicted for the condensation of alkanesulfenic acids to alkyl alkanethiosulfinates.

Substituent effects on singlet-triplet gaps and mechanisms of 1,2-rearrangements of 1,3-oxazol-2-ylidenes to 1,3-oxazoles.

Electronic structures, partial atomic charges, singlet-triplet gaps (Delta E ST), substituent effects, and mechanisms of 1,2-rearrangements of 1,3-oxazol-2-ylidene ( 5) and 4,5-dimethyl- ( 6), 4,5-difluoro- ( 7), 4,5-dichloro- ( 8), 4,5-dibromo- ( 9), and 3-methyl-1,3-oxazol-2-ylidene ( 10) to the corresponding 1,3-oxazoles have been studied using complete-basis-set methods (CBS-QB3, CBS-Q, CBS-4M), second-order Møller-Plesset perturbation method (MP2), hybrid density functionals (B3LYP, B3PW91), coupled-cluster theory with single and double excitations (CCSD) and CCSD plus perturbative triple excitations [CCSD(T)], and the quadratic configuration interaction method including single and double excitations (QCISD) and QCISD plus perturbative triple excitations [QCISD(T)]. The 6-311G(d,p), 6-31+G(d,p), 6-311+G(d,p), and correlation-consistent polarized valence double-xi (cc-pVDZ) basis sets were employed. The carbenes have singlet ground states, and the CBS-QB3 and CBS-Q methods predict Delta E ST values for 5- 8 and 10 of 79.9, 79.8, 74.7, 77.0, and 82.0 kcal/mol, respectively. CCSD(T), QCISD(T), B3LYP, and B3PW91 predict smaller Delta E ST values than CBS-QB3 and CBS-Q, with the hybrid density functionals predicting the smallest values. The concerted unimolecular exothermic out-of-plane 1,2-rearrangements of singlet 1,3-oxazol-2-ylidenes to their respective 1,3-oxazoles proceed via cyclic three-center transition states. The CBS-predicted barriers to the 1,2-rearrangements of singlet carbenes 5- 9 to their respective 1,3-oxazoles are 41.4, 40.4, 37.8, 40.4, and 40.5 kcal/mol, respectively. During the 1,2-rearrangements of singlet 1,3-oxazol-2-ylidenes 5- 9, there is a decrease in electron density at oxygen, N3 (the migration origin), and C5 and an increase in electron density at C2 (the migration terminus), C4, and the partially positive migrating hydrogen.

Electrochemical oxidation of 2-pyrimidinethiols and theoretical study of their dimers, disulfides, sulfenyl radicals, and tautomers.

The relative energies and structures of 2-pyrimidinethiol (1), 4-methyl-2-pyrimidinethiol (3), 5-methyl-2-pyrimidinethiol (5), and 4,6-dimethylpyrimidinethiol (7), and their dimers, disulfides, sulfenyl radicals, and tautomers have been studied using restricted and unrestricted ab initio theory, density functional theory, complete basis set methods, coupled cluster theory, and quadratic configuration interaction calculations. The electrochemical oxidation of 2-pyrimidinethiol (1), 4-methyl-2-pyrimidinethiol (3), and 4,6-dimethylpyrimidinethiol (7) in ethanenitrile affords the respective disulfides in excellent yields. The less polar 2-pyrimidinethiol tautomers are predicted to be the dominant species in the gas phase. CBS-QB3, CBS-Q, CCD, CCSD(T), QCISD(T), and MP2 predict the energy difference (Erel) between (1) and its tautomer (2-pyrimidinethione, 2) to be in the narrow range from 7.23 to 7.87 kcal/mol. Similar trends are observed in the Erel values for the respective tautomers of 2-pyrimidinethiols (3), (5), and (7). The hybrid density functionals B3LYP, B3P86, B3PW91, and MPW1PW91 predict smaller values for Erel between the tautomers than any of the other models. Substitution of methyl groups at positions 4 and 6 of the pyrimidine ring lowers the energy difference between the respective tautomers while a methyl group at position 5 has little effect. The 2-pyrimidinethiol dimer (13) is predicted to be 5.52 and 4.12 kcal/mol, respectively, lower in energy than the isomeric 2-pyrimidinethione dimer (14) and heterodimer (15). The intramolecular four center transition states (TS1) for the tautomerization of 2-pyrimidinethiols (1, 3a, 3b, 5, and 7) in the gas phase have activation barriers of 34.84, 34.42, 34.02, 35.16, and 33.64 kcal/mol, respectively. Alternative lower energy pathways for tautomerism in the gas phase involve dimers and dimer transition states. Dimers and dimer transition states are also involved in the electrochemical oxidation of the 2-pyrimidinethiols. The APT, Mulliken (MPA), and NBO partial atomic charges are compared with the CHELPG and MKS charges that give the most consistent and similar results.

Dimers of and tautomerism between 2-pyrimidinethiol and 2(1H)-pyrimidinethione: a density functional theory (DFT) study.

Density functional theory (BLYP, B3LYP, B3P86, B3PW91) with the 6-31+G(d,p), 6-311+G(d,p), and cc-pVTZ basis sets has been used to calculate structural parameters, relative energies, and vibrational spectra of 2-pyrimidinethiol (1) and 2(1H)-pyrimidinethione (2) and their hydrogen-bonded homodimers (C(2) 3, C(2h) [4](double dagger), C(2h) 5), monohydrates, and dihydrates and a heterodimer (6). Several transition state structures proposed for the tautomerization process have also been examined. At the B3PW91/6-311+G(d,p)//B3PW91/6-31+G(d,p) level of theory 2-pyrimidinethiol (1) is predicted to be 3.41 kcal/mol more stable (E(rel)) than 2(1H)-pyrimidinethione (2) in the gas phase and 2 is predicted to be 6.47 kcal/mol more stable than 1 in aqueous medium. An unfavorable planar intramolecular strained four center transition state (TS1) for the tautomerization of 1 and 2 in the gas-phase lies 29.07 kcal/mol higher in energy than 2-pyrimidinethiol (1). The C(2) 2-pyrimidinethiol dimer (3) is 6.84 kcal/mol lower in energy than the C(2) homodimer transition state structure ([11](double dagger)) that connects dimers 3 and 4. Transition state [11](double dagger) provides a facile pathway for tautomerization between 1 and 2 in the gas phase (monomer-dimer promoted tautomerization). The hydrogen bonded 2-pyrimidinethiol- - -H(2)O and 2-pyrimidinethiol- - -2H(2)O structures are predicted to be 1.27 and 1.55 kcal/mol, respectively, higher in energy than 2(1H)-pyrimidinethione- - -H(2)O and 2(1H)-pyrimidinethione- - -2H(2)O. Water promoted tautomerization via cyclic transition states involving one water molecule (TS- - -H(2)O, [12](double dagger)) and two water molecules (TS- - -2H(2)O, [13](double dagger)) lie 11.42 and 11.44 kcal/mol, respectively, higher in energy than 2-pyrimidinethiol- - -H(2)O and 2-pyrimidinethiol- - -2H(2)O. Thus, the hydrated transition states [12](double dagger) and [13](double dagger) are involved in the tautomerism between 1 and 2 in aqueous medium.

Sila-Pummerer rearrangement of cyclic sulfoxides: computational study of the mechanism.

The sila-Pummerer rearrangement of organosilicon cyclic sulfoxides proceeds via the two transition states, the first one with pentacoordinated Si that connects the reagent and the intermediate ylide and the second one that connects the ylide and the product of rearrangement.

A computational study of conformational interconversions in 1,4-dithiacyclohexane (1,4-dithiane).

Ab initio molecular orbital theory with the 6-31G(d), 6-31G(d,p), 6-31+G(d), 6-31+G(d,p), 6-31+G(2d,p), 6-311G(d), 6-311G(d,p), and 6-311+G(2d,p) basis sets and density functional theory (BLYP, B3LYP, B3P86, B3PW91) have been used to locate transition states involved in the conformational interconversions of 1,4-dithiacyclohexane (1,4-dithiane) and to calculate the geometry optimized structures, relative energies, enthalpies, entropies, and free energies of the chair and twist conformers. In the chair and 1,4-twist conformers the C-Hax and C-Heq bond lengths are equal at each carbon, which suggest an absence of stereoelectronic hyperconjugative interactions involving carbon-hydrogen bonds. The 1,4-boat transition state structure was 9.53 to 10.5 kcal/mol higher in energy than the chair conformer and 4.75 to 5.82 kcal/mol higher in energy than the 1,4-twist conformer. Intrinsic reaction coordinate (IRC) calculations showed that the 1,4-boat transition state structure was the energy maximum in the interconversion of the enantiomers of the 1,4-twist conformer. The energy difference between the chair conformer and the 1,4-twist conformer was 4.85 kcal/mol and the chair-1,4-twist free energy difference (deltaG degrees (c-t)) was 4.93 kcal/mol at 298.15 K. Intrinsic reaction coordinate (IRC) calculations connected the transition state between the chair conformer and the 1,4-twist conformer. This transition state is 11.7 kcal/mol higher in energy than the chair conformer. The effects of basis sets on the 1,4-dithiane calculations and the relative energies of saturated and unsaturated six-membered dithianes and dioxanes are also discussed.