Cluster structure determination using Gaussian density distribution global minimization methods

The water hexamer: three-body interactions, structures, energetics, and OH-stretch spectroscopy at finite temperature

Using a newly developed and recently parameterized classical empirical simulation model for water that involves explicit three-body interactions, we determine the eleven most stable isomers of the water hexamer. We find that the lowest energy isomer is one of the cage structures, in agreement with far-IR and microwave experiments. The energy ordering for the binding energies is cage > glove > book > bag > chair > boat > chaise, and energies relative to the cage are in good agreement with CCSD(T) calculations. The three-body contributions to the cage, book, and chair are also in reasonable agreement with CCSD(T) results. The energy of each isomer results from a delicate balance involving the number of hydrogen bonds, the strain of these hydrogen bonds, and cooperative and anti-cooperative three-body interactions, whose contribution we can understand simply from the form of the three-body interactions in the simulation model. Oxygen-oxygen distances in the cage and book isomers are in good agreement with microwave experiments. Hydrogen-bond distances depend on both donor and acceptor, which can again be understood from the three-body model. Fully anharmonic OH-stretch spectra are calculated for these low-energy structures, and compared with shifted harmonic results from ab initio and density functional theory calculations. Replica-exchange molecular dynamics simulations were performed from 40 to 194 K, which show that the cage isomer has the lowest free energy from 0 to 70 K, and the book isomer has the lowest free energy from 70 to 194 K. OH-stretch spectra were calculated between 40 and 194 K, and results at 40, 63, and 79 K were compared to recent experiments, leading to re-assignment of the peaks in the experimental spectra. We calculate local OH-stretch cumulative spectral densities for different donor-acceptor types and compare to analogous results for liquid water.

Global minimum structure searches via particle swarm optimization

Novel implementation of the evolutionary approach known as particle swarm optimization (PSO) capable of finding the global minimum of the potential energy surface of atomic assemblies is reported. This is the first time the PSO technique has been used to perform global optimization of minimum structure search for chemical systems. Significant improvements have been introduced to the original PSO algorithm to increase its efficiency and reliability and adapt it to chemical systems. The developed software has successfully found the lowest-energy structures of the LJ(26) Lennard-Jones cluster, anionic silicon hydride Si(2)H(5) (-), and triply hydrated hydroxide ion OH(-) (H(2)O)(3). It requires relatively small population sizes and demonstrates fast convergence. Efficiency of PSO has been compared with simulated annealing, and the gradient embedded genetic algorithm.

Folding of oligoglutamines: a theoretical approach based upon thermodynamics and molecular mechanics

Folding of oligoglutamine chains of different lengths is of crucial interest for exploring the molecular mechanisms of Huntington's disease. A simple oligoglutamine model based upon the Flory-Huggins theory of polymer solutions demonstrates a random coil instability in chains containing more than 40 glutamine residues with respect to beta-sheet formation. This is in striking quantitative agreement with biochemical results on the chain length dependence of polyglutamine aggregation in vivo and in vitro, as well as with clinical data on the polyglutamine chain length dependence of the onset of Huntington's disease. Furthermore, a detailed molecular-mechanical investigation of a polypeptide chain carrying 40 glutamine residues was performed. Two possible folding modes of such an oligoglutamine chain were revealed: a) a beta-hairpin and b) a highly compact random coil entity stabilized by a wealth of H-bonds among the glutamine side chains. A possible role of these folding modes in polyglutamine aggregation, as well as in the onset of Huntington's disease, is discussed.

Global optimization of clusters, crystals, and biomolecules

Finding the optimal solution to a complex optimization problem is of great importance in many fields, ranging from protein structure prediction to the design of microprocessor circuitry. Some recent progress in finding the global minima of potential energy functions is described, focusing on applications of the simple "basin-hopping" approach to atomic and molecular clusters and more complicated hypersurface deformation techniques for crystals and biomolecules. These methods have produced promising results and should enable larger and more complex systems to be treated in the future.