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Jiri Genzer, Jiri Kolafa
Molecular dynamics of potential models with polarizability:
comparison of methods
J. Mol. Liq., in press
Three methods for molecular dynamics of models with induced dipoles are optimized for accuracy and performance and compared: the predicted iteration method, the always stable predictor-corrector method, and the extended Lagrangian method (Car-Parrinello approach). The comparison criteria include thermodynamic quantities (energy, pressure, averaged induced dipoles), control quantities (total energy conservation, energy equipartition, errors in induced dipoles), and computer time. We recommend the always stable predictor-corrector method as a compromise between accuracy, speed, and simulation consistency.
Martin Lisal, Jiri Kolafa, Ivo Nezbeda
An examination of the five-site potential (TIP5P) for water
J. Chem. Phys. 117, 8892-8897 (2002)
Parametrization of the TIP5P model of water [M. W. Mahoney and W. L. Jorgensen, J. Chem. Phys. 112, 8910 (2000)] has been examined by several computer simulation methods accounting properly for long-range forces. The structural and thermodynamic properties at a pressure of 1 atm over the temperature range (-25°C,+75°C) and the vapor-liquid coexistence have been determined. It is shown that the simple spherical cutoff method used in the original simulations to find optimized parameters of this 5-site model is inaccurate and that its results differ from those obtained by both the Ewald summation and reaction field methods. Consequently, the pivot property to which the parameters were adjusted, the location of the density maximum at 1 atm, does not agree with experimental values. The equilibrium properties then show only a fair agreement with experimental data and are uniformly inferior to those of TIP4P water over the entire coexistence range.
Jiri Kolafa, Stanislav Labik, Anatol Malijevsky
The bridge function of hard spheres
by direct inversion of computer simulation data
Molec. Phys. 100, 2629-2640 (2002)
The bridge function of the hard sphere fluid has been calculated from our new highly accurate Monte Carlo and molecular dynamics simulation data on the radial distribution function using the (inverted) Ornstein-Zernike equation. Both the systematic errors (finite size, grid size, tail) and statistical errors are analyzed in detail and ways to suppress them are proposed. Uncertainties in the resulting values of B(r) are about 0.001. In contrast with previous findings the bridge function is both positive and negative.
Jiri Kolafa, Ivo Nezbeda
Effect of short- and long-range forces
on the properties of fluids.
III. Dipolar and quadrupolar fluids
Mol. Phys. 99, 11751-1764 (2001)
Using realistic pair potential models for acetone and carbon dioxide, both the spatial and orientational structure of these two typical multipolar (i.e. dipolar and quadrupolar, respectively) fluids is investigated in detail by computing the complete set of the site-site correlation functions, multipole-multipole correlation functions, and selected 2D correlation functions. The effect of the range of interactions on both the structural and thermodynamic properties of these fluids is studied by decomposing the potential into short- and long-range parts in the same manner as for water [Kolafa, J. and Nezbeda, I, 2000, Molec. Phys., 98, 1505; Nezbeda, I., and Lisal, M, 2001, Molec. Phys., 99, 291]. It is found that the spatial arrangement of the molecules is only marginally affected by the long-range forces. The effect of electrostatic interactions is significant at short separations and cannot be neglected but nevertheless the overall structure of the short-range and full systems is similar as well as their dielectric constants. These findings are also reflected in the dependence of the thermodynamic properties on the potential range with the short-range models providing a very good approximation to those of the full system.
Yi-Chia Lee, Jiri Kolafa, Larry A. Curtiss, Mark A. Ratner, and Duward F. Shriver
Molten Salt Electrolytes. I. Experimental and Theoretical Studies of LiI/AlCl3
J. Chem. Phys. 114, 9998-10009 (2001)
Molten LiI/AlCl3 with different molar ratios of LiI to
AlCl3 were prepared and characterized by Raman
spectroscopy, thermal analysis, and impedance measurements. The
LiI/AlCl3 adducts melt at 70-80oC and the Raman
spectrum indicates that a variety of haloaluminates exist in the
system. The 1:1 adduct has the highest ionic conductivity, 2e-6 S/cm
at 25oC, and the conductivity increases dramatically as the
temperature is increased. Molecular dynamics simulations suggest that
several haloaluminates are present in the adducts. Ab initio
calculations were carried out on the species that were predicted by MD
simulations and these results were compared with Raman spectra, and
good agreement was obtained. Several ns long MD simulations allowed
us to study the conductivity and relaxation processes in the 1:1 and
1:2 melts at higher temperatures.
Supplementary material
Adducts of aluminimum chloride with different alkali metal salts are crystalline materials with low melting points (LiI/AlCl3) or glasses (LiSCN/AlCl3). Complexing of anions with AlCl3 delocalizes the electric charge and thus increases the ionic conductivity. These systems could therefore be useful as electrolytes in high energy density batteries. The proposed force field is based on the exp-6 (Buckingham) potential with the Busing combining rules for the exp-term and the r-6 attraction for anions. The Li+-anion interactions are modified by an r-12 term. The anions are polarizable and the induced dipole is damped at close cation-anion separations by the shell-core model [1]. The model of the thiocyanate anion (*-S-*--C--*-N-*) uses four auxiliary charges (*) and polarizability tensors at S and N. The parameters for Al3+, Cl-, and I- are taken from [1], the model of Li+ is based on the LiCl and LiI crystals and the properties of the LiCl pair calculated at the MP2/6-31G* level, and the model of SCN- is fitted to geometry and vibrational spectra (MP2/6-31G*) of SCN- [2] and different conformers of AlCl2SCN, AlCl3SCN-, and LiSCN [3]. The MD calculations are performed using MACSIMUS [4] implementing a novel predictor-corrector scheme for polarizable force fields [5]. Various structural characteristics (correlation functions, coordination numbers, oligomer analysis) as well as diffusion coefficients and conductivity are measured and analyzed.
[1] Z. Akdeniz, G. Pastore, M. P. Tosi,
Phys. Chem. Liq. 32, 191 (1996);
Z. Akdeniz, G. Pastore, M. P. Tosi,
Nuovo Cimento 20, 595 (1998).
[2] P. W. Schultz, G. E. Leroi, J. F. Harrison,
Molec. Phys. 88, 217 (1996);
S. T. Howard,
Molec. Phys. 85, 395 (1995).
[3] T. Veszpremi, T. Pasinszki, M. Feher,
J. Am. Chem. Soc. 116, 6303 (1994).
[4] http://www.icpf.cas.cz/jiri/macsimus.
[5] J. Kolafa,
Molec. Simul. 18, 193 (1996).
Jiri Kolafa, Ivo Nezbeda
Effect of short- and long-range forces
on the structure of water.
II. Orientational ordering and the dielectric constant
Mol. Phys. 98, 1505-1520 (2000)
Effect of short- and long-range interactions on the structure of water, both spatial and orientational, has been studied in detail by computing the full pair correlation function, site-site correlation functions, two-dimensional site-site correlation functions in the rOO, rOH and rOO, rHH planes, dipole-dipole correlation function, radial Kirkwood g-factor, and the dielectric constant. Two model potentials, the TIP4P and ST2 models, and their short-range versions have been considered at ambient, elevated, and supercritical conditions. The Ewald summation under different conditions has been used to investigate also their effect on results. An analysis of the results shows that although all site-site correlation functions for the short- and long-range systems are similar, the orientational ordering in systems of different range may be considerably different, this evidence being provided mainly by the dipole-dipole correlation function and the radial Kirkwood factor. The orientational ordering is only short-range in long-range systems, whereas in short-range systems the hydrogen bonding gives rise to a damped long-range regular pattern of alignment. Nonetheless, the resulting dielectric constants for the short- and long-range systems coincide within the combined error bars. All findings are more pronounced at low temperatures but they are otherwise only marginally temperature and density dependent.
Text (PDF) * Figures * Supplementary material
Jiri Kolafa, John W. Perram and Robert P. Bywater
Essential motions and energetic contributions of individual residues
in a peptide bound to an SH3 domain.
Biophys. J. 79, 646-655 (2000)
We have studied protein-ligand interactions by molecular dynamics
simulations using software designed to exploit parallel computing
architectures. We analysed the trajectories to extract the essential
motions and estimated the individual contributions of fragments of the
ligand to overall binding enthalpy.
Two forms of the bound ligand are compared, one with the
termini blocked by covalent derivatisation, and one in the
underivatised, zwitterionic form. The ends of the peptide tend to bind
more loosely in the capped form.
We can observe significant motions in the bound ligand
and distinguish between motions of the peptide backbone and of the
side chains. This could be useful in designing ligands, which fit
optimally to the binding protein.
We show that it is possible to determine the different
contributions of each residue in a peptide to the enthalpy of
binding. Proline stands out as being the major contributor to binding
enthalpy, in keeping with the known propensity for this family of
proteins to bind proline-rich peptides.
Fulltext not available * Stereo figure of essential motions
Ivo Nezbeda and Jiri Kolafa
Effect of short- and long-range forces
on the structure of water:
Temperature and density dependence
Mol. Phys. 97, 1105-1116 (1999)
The individual effects of short-range and long-range forces on the structure of water, a prerequisite for developing a perturbation theory, are assessed using a decomposition of realistic water-water potential models into trial potentials. Computer simulations for one typical liquid density and a number of temperatures ranging from the freezing temperature up to supercritical ones, and for several densities on a supercritical isotherm were performed. The trial potentials were constructed from the ST2 and TIP4P potentials and it is shown that for both potentials the results are practically identical. It is shown that (i) regardless of the thermodynamic conditions and potential models used, the structure of water and the mutual orientational arrangement of water molecules, given by a set of site-site correlation functions, are determined nearly exclusively only by the short range forces, and (ii) for high density states the effect of the short range electrostatic part of the intermolecular potential on the spatial arrangement of the water molecules rapidly decreases with increasing temperature but does not become negligible.
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Jiri Kolafa
Azeotropic phenomena in the global phase diagram
of the Redlich-Kwong equation of state
Phys. Chem. Chem. Phys. 1, 5665 (1999)
The global phase diagram of a binary mixture described by the Redlich-Kwong equation of state has been calculated for the molecule volume ratio b11/b22=13/7 and the linear mixing rule for molecular volumes. Boundary states separating regions with different topology of azeotropic lines ("horn" region with double azeotropy and "dish" region with an azeotropic line connecting two critical azeotropic points) are found and discussed in connection with other already known non-azeotropic phenomena.
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Jiri Kolafa, Ivo Nezbeda, Jan Pavlicek, and William R. Smith
Global Phase Diagrams of Model and Real Binary
Fluid Mixtures.
II. Non-Lorentz-Berthelot
Mixture of Attractive Hard Spheres
Phys. Chem. Chem. Phys. 1, 4233 (1999)
The global phase diagram of a binary mixture of
attractive hard spheres described by the
Boublik-Mansoori-Carnahan-Starling-Leland equation of state
with a van der Waals mean field attractive term is investigated in
its dependence on the ratio of the hard-sphere diameters and the
strength of the attraction. Two values of the energetic combining
rule parameter k12, determining the deviation from the
geometric mean rule, are considered. In addition to phenomena
reported recently for k12, the shield region of quadruple
points is investigated for k12=0.8, along with its associated
azeotropic phenomena. For k12=1.15, the mixture exhibits a
rich set of low-temperature azeotropic phenomena: cusps on the
p--T projections of azeotropic lines, exchange of branches of
azeotropic lines, zero-temperature limited azeotropy, and double
critical azeotropic points. Some of these azeotropic phenomena are
described here for the first time.
(Presented at the 77. Bunsen-Kolloquium:
1st Workshop on Global Phase Diagram in Walberberg near Cologne,
Germany, March 1999)
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Yi Mao, J. Woenckhaus, J. Kolafa, M.A. Ratner, and M.F. Jarrold
Thermal Unfolding of Unsolvated Cytochrome c:
Experiment and Molecular Dynamics Simulations
J. Am. Chem. Soc. 121, 2712-2721 (1999)
The thermal unfolding of unsolvated cytochrome c has been examined in the gas phase using ion-mobility measurements. Measurements were performed for the +5, +6, and +7 protonated charge states from around room temperature up to 573 K. The (M+5H)5+ charge state remains folded at 573 K while (M+5H)6+ and (M+5H)7+ go through a series of unfolding transitions as the temperature is raised. Molecular dynamics simulations were performed using the CHARMM force field. The simulations are in qualitative agreement with the experimental results: the +7 charge states unfold as the temperature is raised and the +5 charge states remain compact. Addition of two protons to the +5 charge state flattens the energy landscape so that the folded and unfolded conformations have similar energies. Entropy presumably drives the unfolding of the +7 charge state as the temperature is raised.
For full text, visit this page (paper # 149).
Jiri Kolafa, Ivo Nezbeda, Jan Pavlicek, and William R. Smith
Global phase diagrams of model and real binary fluid mixtures:
Lorentz-Berthelot mixture of attractive hard spheres
Fluid Phase Equil, 146, 103-121 (1998)
The phase behavior and global phase diagram of binary mixtures of attractive hard spheres described by a hard-sphere mixture equation of state with a mean field term and the Lorentz-Berthelot combining rule are examined in detail in dependence on the ratio of (i) the hard-sphere diameters and (ii) the strength of the mean field attraction. It is shown that in addition to the usual phenomena the studied mixture exhibits also the closed liquid-liquid immiscibility loop (Type VI and VII behavior) and a variety of new azeotropic phenomena. Topology of phase diagrams is discussed in detail with emphasis on the boundary states and is compared with that based on the one-fluid van der Waals equation approach.
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ERRATA:
Jiri Kolafa and Mark Ratner
Oligomers of poly(ethylene oxide): Molecular dynamics with a
polarizable force field
Mol. Simul. 21, 1-26 (1998)
A semi-empirical force-field for simulating oligomers of poly(ethylene oxide) is developed with the united atom representation for methyl and methylene groups. Polarizability of groups is mimicked by polarizable finite dipoles. The force field parameters are adjusted using both empirical data (density, dipole moments, dielectric constant) and ab initio calculations (dihedral torsion potentials, conformation energies). The molecular dynamics simulations make use of a novel predictor-corrector scheme for the self-consistent field, allowing only one evaluation of forces per integration step. Focus is on quantities related to ionic motion (dielectric constant and viscosity), the gauche effect, and methodology of simulations of complex polarizable molecules.
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Jiri Kolafa and Stanislav Labik
Thermodynamic limit in fluid simulations
and the bridge function of hard spheres
Poster presented at the Fifth Liblice Conference on the Statistical
Mechanics of Liquids, Zelezna Ruda, Czech Republic, 1998, and at the Conference
on Computational Physics, Granada, Spain, 1998
It is shown that inverting the Ornstein-Zernike relation in order to obtain accurate bridge functions requires to take into account a number of points:
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Jiri Kolafa
Numerical integration of equations of motion with a
self-consistent field given by an implicit equation
Mol. Simul. 18, 193-212 (1996)
Numerical integration methods for equations of motion with the right hand side containing an implicit equation (e.g., an equation for self-consistent electrostatic field in the system of polarizable molecules) are studied. Stable second-order predictors suitable for the Verlet (leap-frog) integrator and allowing one evaluation of the forces per integration step are proposed. Different strategies making the use of only partly stable higher-order predictors possible are discussed.
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ERRATA:
Ivo Nezbeda, Jiri Kolafa, and William R. Smith
Global phase diagrams of binary mixtures. Systematic basis for
describing types of phase equilibrium phenomena
J. Chem. Soc. Faraday Trans. 93, 3073-3080 (1997)
All possible phase equilibrium phenomena of binary mixtures are systematically constructed using only the generic properties of the Gibbs energy as a function of composition at fixed pressure and temperature. The method is independent of any particular equation of state or Helmholtz energy model. We construct these phenomena corresponding to different numbers of degrees of freedom in the thermodynamic parameter space, and show how features at each level map to the parameter space of the model, i.e. to its global phase diagram. We argue that our approach provides a basis to construct a classification scheme for global phase diagrams of binary mixtures, which improves upon the scheme of van Konynenburg and Scott.
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J. Kolafa, J.W. Perram
Cutoff errors in the Ewald summation formulae for point charge systems
Molec. Simul. 9, 351-368 (1992)