element, namely, the choice of the reaction coordinate for determining the free energy of activation to characterize the mechanism of enzymatic processes. Then, we illustrate a variety of factors that have been found to contribute to catalysis in specific enzymatic reactions by lowering the free energy of activation relative to that for the uncatalyzed process in aqueous solution. Finally, we provide a summary of the major conclusions. 2. Methods for Computational Studies of Enzymatic Reactions in Aqueous Solution In this section, we present a brief summary of the theory and key computational techniques that we use for studying chemical reactions catalyzed by enzymes and the corresponding uncatalyzed reactions, both in aqueous solution. 2.1. Generalized Transition State Theory Generalized transition state theory (TST) provides a theoretical framework for understanding chemical reactions in the gas phase, in solution, and in enzymes. Conventional 24,25 and generalized 26 transition state theory were originally developed for gas-phase reactions, but transition state theory is readily generalized to liquid-phase reactions, 27 and it has become the framework for both qualitative and quantitative studies of reactions catalyzed by enzymes. The rate constant for a reaction at temperature T can be conveniently expressed as follows: (1) where β = 1/(k B T), k B being Boltzmann's constant, h is Planck's constant, and k TST is the transition state theory rate constant. The transmission coefficient, γ(T), which has a value of unity in simple transition state theory, has three components, 7 (2) which account for, respectively, dynamical recrossing of the transition state hypersurface that separates the reactants and products, quantum mechanical tunneling in the reaction coordinate, and nonequilibrium distributions in phase space. Note that γ(T), κ(T), and Γ(T) are called, respectively, the transmission coefficient, the tunneling transmission coefficient, and the recrossing transmission coefficient. In eq 1, ΔG ‡ (T) is the molar standard-state quasithermodynamic free energy of activation, which is related to the potential of mean force, W(T,q), also called the PMF, by eq 3, 28,29 (3) where q ‡ and q R are values of the reaction coordinate, q, at the transition state and reactant state, respectively, G R (q) corresponds to the free energy of the mode in the reactant state, R, which correlates with the reaction coordinate, and C(T,q) is a correction term that is due to the Jacobian of the transformation from a locally rectilinear reaction coordinate to the Gao et al.

We present a rigorous analysis of unique, wide electrochemical window solutions for rechargeable magnesium batteries, based on aromatic ligands containing organometallic complexes. These solutions are comprised of the transmetalation reaction products of Ph(x)MgCl(2-x) and Ph(y)AlCl(3-y) in different proportions, in THF. In principle, these reactions involve the exchange of ligands between the magnesium and the aluminum based compounds, forming ionic species and neutral molecules, such as Mg(2)Cl(3)(+)·6THF, MgCl(2)·4THF, and Ph(y)AlCl(4-y)(-) (y = 0-4). The identification of the equilibrium species in the solutions is carried out by a combination of Raman spectroscopy, multinuclear NMR, and single-crystal XRD analyses. The association of the spectroscopic results with explicit identifiable species is supported by spectral analyses of specially synthesized reference compounds and DFT quantum-mechanical calculations. The correlation between the identified solution equilibrium species and the electrochemical anodic stability window is investigated. This study advances both development of new nonaqueous solution chemistry and possible development of high-energy density rechargeable Mg batteries.

The high charge-state dopant Zr4+ improves the structural stability and electrochemical behavior of the lithiated transition metal oxide LiNi0.6Co0.2Mn0.2O2.

One of the major hurdles of Ni‐rich cathode materials Li1+x(NixCozMnz)wO2, y > 0.5 for lithium‐ion batteries is their low cycling stability especially for compositions with Ni ≥ 60%, which suffer from severe capacity fading and impedance increase during cycling at elevated temperatures (e.g., 45 °C). Two promising surface and structural modifications of these materials to alleviate the above drawback are (1) coatings by electrochemically inert inorganic compounds (e.g., ZrO2) or (2) lattice doping by cations like Zr4+, Al3+, Mg2+, etc. This paper demonstrates the enhanced electrochemical behavior of Ni‐rich material LiNi0.8Co0.1Mn0.1O2 (NCM811) coated with a thin ZrO2 layer. The coating is produced by an easy and scalable wet chemical approach followed by annealing the material at ≥700 °C under oxygen that results in Zr doping. It is established that some ZrO2 remains even after annealing at ≥800 °C as a surface layer on NCM811. The main finding of this work is the enhanced cycling stability and lower impedance of the coated/doped NCM811 that can be attributed to a synergetic effect of the ZrO2 coating in combination with a zirconium doping.

Mg­(N­(SO2CF3)2)2 (MgTFSI2) solutions with dimethoxyethane (DME) exhibit a peculiar behavior. Over a certain range of salt content, they form two immiscible phases of specific electrolyte concentrations. This behavior is unique, as both immiscible phases comprise the same constituents. Thus, this miscibility gap constitutes an exceptionally intriguing and interesting case for the study of such phenomena. We studied these systems from solutions structure perspective. The study included a wide variety of analytical tools including single-crystal X-ray diffraction, multinuclei NMR, and Raman spectroscopy coupled with density functional theory calculations. We rigorously determined the structure of the MgTFSI2/DME solutions and developed a plausible theory to explain the two-phase formation phenomenon. We also determined the exchange energy of the “caging” DME molecules solvating the central magnesium ion. Additionally, by measuring the ions’ diffusion coefficients, we suggest that the caged Mg2+ and TFSI– move as free ions in the solution. Knowledge of the arrangement of the solvent/cation/anion structures in these solutions enables us to explain their properties. We believe that this study is important in a wide context of solutions chemistry and nonaqueous electrochemistry. Also, MgTFSI2/DME solutions are investigated as promising electrolyte solutions for rechargeable magnesium batteries. This study may serve as an important basis for developing further MgTFSI2/ether based solutions for such an interesting use.

Ni-rich Li-based layered Ni, Co, and Mn (NCM) materials have shown tremendous promise in recent years as positive electrode materials for Li-ion batteries. This is evident as companies developing batteries for electrical vehicles are currently commercializing these materials. Despite the considerable research performed on LiNiαCoβMnγO2 systems, we do not yet have a complete atomic level understanding of these materials. In this work we study the cationic ordering, thermodynamics, and diffusion kinetics of LiNi0.5Co0.2Mn0.3O2 (NCM-523). Initially, we show that cationic ordering can be predicted employing cheap atomistic simulations, instead of using expensive first-principles methods. Subsequently, we investigate the electrochemical, thermodynamic and kinetic properties of NCM-523 using density functional theory (DFT). Our results demonstrate the importance of including dispersion corrections to standard first principles functionals in order to correctly predict the lattice parameters of layered cathode materials. We also demonstrate that a careful choice of computational protocol is essential to reproduce the experimental intercalation potential trends observed in the LiNi0.5Co0.2Mn0.3O2 electrodes. Analysis of the electronic structure confirms an active role of Ni in the electrochemical redox process. Moreover, we confirm the experimental finding that on complete delithiation, this material remains in an O3 phase, unlike LiCoO2 and NCM-333. Finally, we study various pathways for the Li-ion diffusion in NCM-523, and pinpoint the preferred diffusion channel based on first principles simulations. Interestingly, we observe that the Li diffusion barrier in NCM-523 is lower than that in LiCoO2.

An integrated centroid path integral and free-energy perturbation-umbrella sampling (PI-FEP/UM) method for computing kinetic isotope effects (KIEs) for chemical reactions in solution and in enzymes is presented. The method is based on the bisection quantized classical path sampling in centroid path integral simulations to include nuclear quantum corrections in the classical potential of mean force. The required accuracy for computing kinetic isotope effects is achieved by coupled free-energy perturbation and umbrella sampling for reactions involving different isotopes. The use of FEP results in relatively small statistical uncertainties, whereas if kinetic isotope effects are computed directly by the difference in free energies obtained from the quantum mechanical potentials of mean force for different isotopes, the statistical errors are significantly greater. The PI-FEP/UM method is illustrated in two applications. The first reaction is the decarboxylation of N-methyl picolinate in water, and the primary 13 C and secondary 15 N KIEs have been determined. The second reaction is the proton-transfer reaction between nitroethane and acetate ions in water, and the total kinetic isotope effects were obtained. In both cases, the computational results are in accord with experimental results, and the findings provide further insight into the mechanism of these reactions in water.

W-doping produced the two-phase (Fm3̄m and R3̄m) structure which improved the cycling and thermal stability of the Ni-rich layered cathodes.