“…These include using B3LYP/6-31+G** calculations in the gas phase and the PCM model in solution to predict how lactone enolates react with allyl carbonates in the presence of [Pd 2 (dba) 3 ]-CHCl 3 , BINAP, and LiCl in THF; 12 employing DFT/MO6 de calculations with a polarized Boltzmann SCRF model in solution to model the Pdcatalysed intramolecular asymmetric allylic alkylation of unsaturated amides giving trans-γ -and δ-lactams; 13 using MP2/6-31G(d)//HF/3-21G* calculations to model ee the tandem S N 2 /S N 2 reaction converting Morita-Baylis-Hillman acetates into γbutenolides with 2-trimethylsilyloxyfuran in the presence of a chiral amide-phosphane organocatalyst; 28 determining the rates and energy barriers for the S N 2 hydrolysis ee and alkylation reaction between para-nitrostyrene and 4-(para-nitrobenzyl)pyridine at the B3LYP/6-31++G(d,p) level of theory in the gas phase and by applying the IEFPCM self-consistent reaction field method in solution; 46 examining the hydrolysis of epichlorohydrin in neutral and acidic conditions at the UB3LYP/6-311++G(d,p) level of theory; 47 calculations at the B3LYP/6-31+G(d) level to show that the S N 2 ring-opening reaction of ethylene oxide by ammonia is catalysed by BF 3 but not by BH 3 ; 50 and to show how substituents conjugated with the epoxide ring affect the bonding, electron density at the reacting atoms, atomic charges on the atoms, the source function, and the intermolecular interactions in the ring-opening reaction; 51 using calculations at the B3LYP/6-311+G(d,p) level in the gas phase and the IEFPCM model to account for the solvent in the regiospecific S N 2 ring opening of ortho-and para-nitroor 2,4-dinitrophenylglycidyl ethers when treated with bicyclo[2.2.1]hept-5-ene-endo-2ylmethylamine in 2-propanol; 53 MPWB1K/6-311++G(3df,2p) calculations indicating that the conversion of CO 2 to cyclic carbonate occurs by the termolecular, regioselective, S N 2 reaction between an N-heterocyclic carbene, 2-methylethylene oxide, and CO 2 ; 58 using MPW1K/6-31++G(d,p)//B3LYP/6-31++G(d,p) calculations to study the S N 2 reactions of N-benzyl-2-bromomethylaziridine, N-tosyl-2-bromomethylaziridine, and 2-bromomethyloxirane with methoxide ion in the gas phase and in methanol using the supermolecule approach; 65 employing M06-2X/6-311+g(2df,2p)//B3LYP/6-31G(d,p) calculations to determine the mechanism of the thiol or carbamodithiolic acid -amino-indoanol-derived guanidine catalyst ring opening of meso-aziridines; 71 ee de studying the reaction between N-methyl, N-2-chloroethyl aziridinium ion and quanine at the ring carbon using B3LYP/ 6-311++G(d,p) calculations in the gas phase and the PCM model in water; 73 and investigating the effect of substituents, nucleophiles, Lewis acids, and solvents on the regioselectivity of the silver ion-catalysed S N 2 ring opening of thiiranes with ammonia or primary amines at the B3LYP/IEFPCM/6-311++G(d,p)&LAN2DZ//B3LYP/6-31+G(d,p)&LAN2DZ level of theory. 74 The IEF-PCM/B3LYP/BS method was used to calculate the rate of reaction in methanol.…”