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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 7662-7671 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new model electron–ammonia pseudopotential parameterized to ab initio quantum chemistry calculations on small lithium ammonia clusters, Li(NH3)n(n=1,4), is studied in a variety of environments. For Li(NH3)n clusters, n=16,32,64,128 the valence electron of the lithium is found to exist in a surface state far from the cation which is localized near the center of mass of the cluster. No bulk states were stabilized. Cluster anions (NH3)−n were also studied and the electron centroid-cluster center of mass probability distribution for (NH3)−64 calculated using umbrella sampling. In the present model, there is apparently no barrier to the dissociation of the surface states. No bulk states were found. This set of results appears to disagree with experiments which have been interpreted to indicate bulk states for cluster anions and the clusters containing lithium. Bulk properties of both a single excess electron and the lithium atom in solution are also reported. The solvation energy agrees well with experiment but the spectrum of the excess electron remains somewhat blue shifted as in earlier calculations. However, the valence electron of the lithium atom is found to spontaneously dissociate; a property not reproduced in previous work.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 6811-6815 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A frequently encountered problem in molecular dynamics is how to treat the long times that are required to simulate condensed systems consisting of particles interacting through long range forces. Standard methods require the calculation of the forces at every time step. Because each particle interacts with all particles within the interaction range of the potential the longer the range of the potential the larger the number forces that must be calculated at each time step. In this note we present a variant of the RESPA (reference system propagator algorithm), which we developed for handling systems with multiple time scales like disparate mass mixtures. This version of RESPA greatly reduces the number of forces that must be computed at each time step and thereby leads to a dramatic acceleration of such simulations. The RESPA method uses ideas similar to NAPA, an algorithm we invented to treat high frequency oscillators interacting with low frequency bath. The method is based on a choice of a reference system in which the particles interact through short range forces. The reference system is numerically integrated for n time steps δt and the error incurred by using short range forces is corrected by solving a rigorous set of equations once every Δt=nδt. This method reduces the cpu time dramatically. It is shown that this approach and suitable generalizations should be very useful for future simulations of quantum and classical condensed matter systems.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 1287-1291 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A frequently encountered problem in molecular dynamics simulations is the long runs required to study condensed systems consisting of both high frequency and low frequency degrees of freedom. Standard integrators require the choice of time step sufficiently small to guarantee stable solution of the highest frequency motion with the consequence that simulations require a very large number of central processing unit (CPU) cycles. In this note we present a new integrator that allows one to use a time step appropriate for the low frequency degrees of freedom without making any approximations related to the separation of time scales. This method is based on a choice of an analytically solvable reference system for the high frequency motion. We show how the analytical solution can be incorporated into a numerical integrator. The method is applied to two cases which are paradigms for this problem and it is shown that this approach and suitable generalizations should be very useful for future simulations of quantum and classical condensed matter systems.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 4516-4525 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Diffusion Monte Carlo simulations were performed to determine the absolute binding energies of an excess electron to small clusters of xenon atoms (n≤19). It was found that clusters as small as Xe6 could bind the electron. The ground state wave function of the excess electron and the decomposition of the binding energy of the electron into kinetic and potential parts were determined for a number of small clusters. Large (n〉50) and small clusters anions were then studied at finite temperatures using path integral Monte Carlo. In all cases the excess electron in small clusters was found to exist in very diffuse state extending well beyond the radius of the cluster. However, in large clusters the electron was localized within the bulk of the cluster. Various properties are presented to characterize the electron in Xe−n as function of cluster size and the results compared to an electron solvated in fluid xenon.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 3744-3755 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In a previous paper, Martyna and Berne, J. Chem. Phys. 88, 4516 (1988), diffusion Monte Carlo simulations were performed to determine the absolute binding energies of an excess electron to small clusters of xenon atoms (n≤19) using a pair additive pseudopotential. In this approximation, the electron–xenon polarization energy is treated as pair additive and therefore ignores the induced dipole–induced dipole interactions. Here we treat the many-body polarization problem in the dipole approximation. It is found that while the smallest stable cluster anion is Xe−6 for the pair polarization model this increases to Xe−7 for the many-body polarization model. In fact, the electron binding energy corresponding to the pair-polarization model was found to be a factor of 2.7 larger than for the many-body polarization model for all the clusters studied. In accord with this very large destabilization of electron binding energy (induced by many-body polarization), the spatial extent of the electronic ground state in the many-body polarization model increases compared to that of the pair polarization model. We also compare our results for both the many-body polarization and the two-body polarization models to corresponding dielectric continuum models developed by Stampfli and Bennemann, Phys. Rev. A 71, 1674 (1988). In the many-body polarization case, the continuum model agrees well with our results. However, the agreement in the pair polarization case is rather poor for all cluster sizes. If parameters of the continuum model are adjusted to obtain agreement for small clusters sizes, the model is found to break down for large clusters sizes where the spatial extent of the electron is small enough that the microscopic details of the cluster become extremely important. A new variant of the fast Fourier transform projector method suitable for use in problems involving electron attachment to clusters is also developed. The results obtained with this new method are shown to agree with those of diffusion Monte Carlo.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 4177-4189 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Modularly invariant equations of motion are derived that generate the isothermal–isobaric ensemble as their phase space averages. Isotropic volume fluctuations and fully flexible simulation cells as well as a hybrid scheme that naturally combines the two motions are considered. The resulting methods are tested on two problems, a particle in a one-dimensional periodic potential and a spherical model of C60 in the solid/fluid phase.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 7590-7601 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Metal–ammonia solutions are examined from the insulating to the conducting regime using three different microscopic models. In model I, the ammonia molecules are treated via a classical point charge model and the cations as a positive neutralizing background. In model II, the ammonia solvent is made fully polarizable and the cations are again, treated as a positive background. Finally, in model III, the solvent is taken to be fully polarizable and the ions, here lithium, are explicitly included. At T=260 K, the following picture emerges of the electronic states as a function of metal/electron concentration: The dilute solution behaves like an electrolyte in which the electrons exist as polarons, on average spherical states localized in solvent cavities, far from the counterions. At 1 mole percent metal (MPM), the electrons spin pair, forming peanut-shaped species called bipolarons. At slightly higher concentration, 2 MPM, the electronic states oscillate (moderated by solvent fluctuations) between dimers of bipolarons and connected tubular states. At 9 MPM, a good liquid metal is formed in which the electron density forms tubular extended states. These observations are in good agreement with experiment. The quantitative differences between the three models are discussed. In general, the effects of solvent polarizability are found to be rather small. However, the explicit inclusion of the cations is found to slightly increase the metallic character of the solution at 9 MPM.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 2810-2821 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new reciprocal space based formalism for treating long range forces in clusters is presented. It will be shown how the new formalism can be incorporated into plane-wave based density function theory calculations, standard Ewald summation calculations, and smooth particle-mesh Ewald calculations to yield accurate and numerically efficient descriptions of long range interactions in cluster systems. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 3275-3290 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Extended system path integral molecular dynamics algorithms have been developed that can generate efficiently averages in the quantum mechanical canonical ensemble [M. E. Tuckerman, B. J. Berne, G. J. Martyna, and M. L. Klein, J. Chem. Phys. 99, 2796 (1993)]. Here, the corresponding extended system path integral molecular dynamics algorithms appropriate to the quantum mechanical isothermal–isobaric ensembles with isotropic-only and full system cell fluctuations are presented. The former ensemble is employed to study fluid systems which do not support shear modes while the latter is employed to study solid systems. The algorithms are constructed by deriving appropriate dynamical equations of motions and developing reversible multiple time step algorithms to integrate the equations numerically. Effective parallelization schemes for distributed memory computers are presented. The new numerical methods are tested on model (a particle in a periodic potential) and realistic (liquid and solid para-hydrogen and liquid butane) systems. In addition, the methodology is extended to treat the path integral centroid dynamics scheme, [J. Cao and G. A. Voth, J. Chem. Phys. 99, 10070 (1993)], a novel method which is capable of generating semiclassical approximations to quantum mechanical time correlation functions. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 97 (1993), S. 12959-12966 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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