Ab initio molecular dynamics study of formate ion hydration

How Does Ammonium Dynamically Interact with Benzene in Aqueous Media? A First Principle Study Using the Car−Parrinello Molecular Dynamics Method

The Car-Parrinello molecular dynamics (CPMD) method was used to study the dynamic characteristics of the cation-pi interaction between ammonium and benzene in gaseous and aqueous media. The results obtained from the CPMD calculation on the cation-pi complex in the gaseous state were very similar to those calculated from the Gaussian98 program with DFT and MP2 algorithms, demonstrating that CPMD is a valid approach for studying this system. Unlike the interaction in the gaseous state, our 12-ps CPMD simulation showed that the geometry of the complex in aqueous solution changes frequently in terms of the interaction angles and distances. Furthermore, the simulation revealed that the ammonium is constantly oscillating above the benzene plane in an aqueous environment and interacts with benzene mostly through three of its hydrogen atoms. In contrast, the interaction of the cation with the aromatic molecule in the gaseous state involves two hydrogen atoms. In addition, the free energy profile in aqueous solution was studied using constrained CPMD simulations, resulting in a calculated binding free energy of -5.75 kcal/mol at an optimum interaction distance of approximately 3.25 A, indicating that the cation-pi interaction between ammonium and benzene is stable even in aqueous solution. Thus, this CPMD study suggested that the cation-pi interaction between an ammonium (group) and an aromatic structure could take place even on surfaces of protein or nucleic acids in solution.

Car−Parrinello Molecular Dynamics Simulation of Liquid Formic Acid

First-principles molecular dynamics has been used to investigate the structural, vibrational, and energetic properties of formic acid, formic acid-formate anion dimers, and liquid formic acid in a periodically repeated box with 32 formic acid molecules. We found that in liquid formic acid the hydrogen-bonded clusters mainly consist of linear branching chains. From our simulation, we got good agreement with the available structural and dynamical data. We also studied the proton transfer in the cis-formic acid-formate anion dimer, and we showed that this proton transfer does not have any potential barrier. The hydrogen bonding statistics as well as the mean lifetime of the hydrogen bonds are analyzed.

Ab initio rigid water: Effect on water structure, ion hydration, and thermodynamics

We investigate the liquid structure, ion hydration, and some thermodynamic properties associated with the rigid geometry approximation to water by applying ab initio molecular dynamics simulations (AIMD) with the Perdew-Burke-Ernzerhof (PBE) exchange-correlation functional at T = 320 K. We vary the rigid water geometry in order to locate a class of practical water models that yield reasonable liquid structure and dynamics, and to examine the progression of AIMD-predicted water behavior as the OH bond length varies. Water constrained at the optimal PBE gas phase geometry yields reasonable pair correlation functions. The predicted liquid phase pressure, however, is large ( approximately 8.0 kbar). Although the O-H bond in water should elongate when transferred from gas to the condensed phase, when it is constrained to 0.02, or even just 0.01 A longer than the optimal gas phase value, liquid water is predicted to be substantially overstructured compared to experiments. Zero temperature calculations of the thermodynamic properties of cubic ice underscore the sensitivity toward small variations in the O-H bond length. We examine the hydration structures of potassium, chloride, and formate ions in one rigid PBE water model. The results are in reasonable agreement with unconstrained AIMD simulations.

The influence of amino acid protonation states on molecular dynamics simulations of the bacterial porin OmpF

Several groups, including our own, have found molecular dynamics (MD) calculations to result in the size of the pore of an outer membrane bacterial porin, OmpF, to be reduced relative to its size in the x-ray crystal structure. At the narrowest portion of its pore, loop L3 was found to move toward the opposite face of the pore, resulting in decreasing the cross-section area by a factor of approximately 2. In an earlier work, we computed the protonation states of titratable residues for this system and obtained values different from those that had been used in previous MD simulations. Here, we show that MD simulations carried out with these recently computed protonation states accurately reproduce the cross-sectional area profile of the channel lumen in agreement with the x-ray structure. Our calculations include the investigation of the effect of assigning different protonation states to the one residue, D(127), whose protonation state could not be modeled in our earlier calculation. We found that both assumptions of charge states for D(127) reproduced the lumen size profile of the x-ray structure. We also found that the charged state of D(127) had a higher degree of hydration and it induced greater mobility of polar side chains in its vicinity, indicating that the apparent polarizability of the D(127) microenvironment is a function of the D(127) protonation state.

Ab initio molecular dynamics study of glycine intramolecular proton transfer in water

We use ab initio molecular-dynamics simulations to quantify structural and thermodynamic properties of a model proton transfer reaction that converts a neutral glycine molecule, stable in the gas phase, to the zwitterion that predominates in aqueous solution. We compute the potential of mean force associated with the direct intramolecular proton transfer event in glycine. Structural analyses show that the average hydration number (N(w)) of glycine is not constant along the reaction coordinate, but rather progresses from N(w) = 5 in the neutral molecule to N(w) = 8 for the zwitterion. We report the free-energy difference between the neutral and charged glycine molecules, and the free-energy barrier to proton transfer. Finally, we identify the approximations inherent in our method and estimate the corresponding corrections to our reported thermodynamic predictions.

Interpolated potential energy surfaces: How accurate do the second derivatives have to be?

A global potential energy surface for the water dimer is constructed using the modified Shepard interpolation scheme of Collins et al. According to this interpolation scheme, the energy at an arbitrary geometry is expressed as a weighted sum of Taylor series expansions from neighboring data points, where the energy and derivative data required are obtained from ab initio calculations. For some ab initio methods, errors are introduced into the second derivative matrix, either by numerical differencing of ab initio energies or numerical integration during the ab initio calculation. Therefore, we test the accuracy required of the second derivative data by truncation of the exact second derivatives to a series of approximate second derivatives, and assess the effect on the results of a quantum diffusion Monte Carlo (QDMC) simulation. Our results show that the calculated zero-point energy and wave function histograms converge to within the numerical uncertainty of the QDMC simulation by inclusion of either three significant figures or three decimal places in the second derivatives.