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  • 101
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 973-983 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: MM3(94) has been used to predict the conformers of nitrogen-containing aromatic heterocycles with polar aliphatic sidechains. Computations were done for cases in which experimental gas-phase rotational constants have been determined and include histamine and analogs of tryptophan. The agreement with experiment for the tryptophan analogs is better than earlier MM2(87) computations but still not complete. A fairly good match can be made to experimental rotational constants of four histamine conformers, but other conformers are also predicted that may not be important experimentally. A comparison can be made with ab initio calculations undertaken for histamine. Similar structures were generally predicted, but there were significant discrepancies with MM3 in relative conformer energies. © 1995 by John Wiley & Sons, Inc.
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  • 102
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1027-1037 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Electrostatic models frequently proposed to describe ion-molecule interactions have been tested on the adducts formed by Group 1 and 2 cations with H2O, NH3, H2S, PH3, their methyl analogs, and their anions. The results from the model calculations were compared with all-electron calculations (geometry optimized, MP2, TZP basis sets) carried out on adducts formed with Li+, Na+, K+, Ca2+, and Mg2+. The electrostatic potential model was utilized in two ways: The attraction of the point charge was calculated with and without relaxation of the ligand. A third model allowed relaxation of the ligand but treated the cation as a frozen core. The final model was the crude point charge/point dipole approximation. At long range, the models satisfactorily track the effects on energy of gross changes in the ion-ligand interaction (monovalent versus divalent ions, neutral ligands versus anions, parent ligands versus methyl derivatives), but correlation at close range is poor, especially for binding by divalent cations. The hypothesis that the calculated strength of cation-dipole binding is dependent on calculated dipole moment could not be verified. © 1995 by John Wiley & Sons, Inc.
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  • 103
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1045-1054 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio molecular orbital (MO) calculations are carried out on the nonidentity allyl transfer processes, X- + CH2CHCH2Y ⇌ CH2CHCH2 X + Y-, with X- = H, F, and Cl and Y = H, NH2, OH, F, PH2, SH, and Cl. The Marcus equation applies well to the allyl transfer reactions. The transition state (TS) position along the reaction coordinate and the TS structure are strongly influenced by the thermodynamic driving force, whereas the TS looseness is originated from the intrinsic barrier. The intrinsic barrier, ΔE0
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  • 104
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1081-1095 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The accuracy and simplicity of the Poisson-Boltzmann electrostatics model has led to the suggestion that it might offer an efficient solvent model for use in molecular mechanics calculations on biomolecules. We report a successful merger of the Poisson-Boltzmann and molecular dynamics approaches, with illustrative calculations on the small solutes dichloroethane and alanine dipeptide. The algorithm is implemented within the program UHBD. Computational efficiency is achieved by the use of rather coarse finite difference grids to solve the Poisson-Boltzmann equation. Nonetheless, the conformational distributions generated by the new method agree well with reference distributions obtained as Boltzmann distributions from energies computed with fine finite difference grids. The conformational distributions also agree well with the results of experimental measurements and conformational analyses using more detailed solvent models. We project that when multigrid methods are used to solve the finite difference problem and the algorithm is implemented on a vector supercomputer, the computation of solvent electrostatic forces for a protein of modest size will add only about 0.1 s computer time per simulation step relative to a vacuum calculation. © 1995 by John Wiley & Sons, Inc.
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  • 105
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1131-1140 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A parallel version of the popular molecular mechanics package AMBER suitable for execution on workstation clusters has been developed. Computer-intensive portions of molecular dynamics or free-energy perturbation computations, such as nonbonded pair list generation or calculation of nonbonded energies and forces, are distributed across a collection of Unix workstations linked by Ethernet or FDDI connections. This parallel implementation utilizes the message-passing software PVM (Parallel Virtual Machine) from Oak Ridge National Laboratory to coordinate data exchange and processor synchronization. Test simulations performed for solvated peptide, protein, and lipid bilayer systems indicate that reasonable parallel efficiency (70-90%) and computational speedup (2-5 × serial computer runtimes) can be achieved with small workstation clusters (typically six to eight machines) for typical biomolecular simulation problems. PVM-AMBER is also easily and rapidly portable to different hardware platforms due to the availability of PVM for numerous computers. The current version of PVM-AMBER has been tested successfully on Silicon Graphics, IBM RS6000, DEC ALPHA, and HP 735 workstation clusters and heterogeneous clusters of these machines, as well as on CRAY T3D and Kendall Square KSR2 parallel supercomputers. Thus, PVM-AMBER provides a simple and cost-effective mechanism for parallel molecular dynamics simulations on readily available hardware platforms. Factors that affect the efficiency of this approach are discussed. © 1995 by John Wiley & Sons, Inc.
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  • 106
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1141-1152 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The efficient evaluation of polarizable molecular mechanics potentials on distributed memory parallel computers is discussed. The program executes at 7-10 Mflops/node on a 32-node CM-5 partition and is 19 times faster than comparable code running on a single-processor HP 9000/735. On the parallel computer, matrix inversion becomes a practical alternative to the commonly used iterative method for the calculation of induced dipole moments. The former method is useful in cases such as free-energy perturbation (FEP) simulations, which require highly accurate induced dipole moments. Matrix inversion is performed 110 times faster on the CM-5 than on the HP. We show that the accuracy which is needed for FEP calculations with polarization can be obtained by either matrix inversion or by performing a large number of iteration cycles to satisfy convergence tolerances that are less than 10-6 D. © 1995 by John Wiley & Sons, Inc.
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  • 107
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    Journal of Computational Chemistry 16 (1995), S. 1164-1169 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In the process of studying the solvation of simple hydrocarbons, we found that the nonbond van der Waals (vdw) parameters for the TIP3P water model could be adjusted without significantly changing its liquid water properties. By increasing the van der Waals well depth ∊ from 0.152 kcal/mol for the TIP3P model to 0.190 kcal/mol (model TIP3P_MOD), the solvation free energy of all-atom methane changed from 2.5 kcal/mol to 2.1 kcal/mol, much closer to the experimental value of 2.0 kcal/mol. This change of van der Waals parameters does not change hydrophilic solvation, since calculations using either water model lead to the same relative solvation free energy between ethane and methanol. The solvation free-energy differences between methane and ethane and between ethane and propane have also been calculated with both models, and results found with the two water models are similar. For the united-atom hydrocarbon model, however, the solvation free energy of methane changed from 2.1 kcal/mol with TIP3P to 1.8 kcal/mol with TIP3P_MOD. © 1995 by John Wiley & Sons, Inc.
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  • 108
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    Journal of Computational Chemistry 16 (1995), S. 1192-1209 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In molecular dynamics simulations, the fastest components of the potential field impose severe restrictions on the stability and hence the speed of computational methods. One possibility for treating this problem is to replace the fastest components with algebraic length constraints. In this article the resulting systems of mixed differential and algebraic equations are studied. Commonly used discretization schemes for constrained Hamiltonian systems are discussed. The form of the nonlinear equations is examined in detail and used to give convergence results for the traditional nonlinear solution technique SHAKE iteration and for a modification based on successive overrelaxation (SOR). A simple adaptive algorithm for finding the optimal relaxation parameter is presented. Alternative direct methods using sparse matrix techniques are discussed. Numerical results are given for the new techniques, which have been implemented in the molecular modeling software package CHARMM and show as much as twofold improvement over SHAKE iteration. © 1995 John Wiley & Sons, Inc.
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  • 109
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    Journal of Computational Chemistry 16 (1995), S. 534-544 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The exponents method for calculating the concentrations of species in multimetal-multiligand systems is introduced. This method uses the Newton-Raphson method with restricted step iteration, which guarantees a monotonically decreasing objective function. Variable transformation and scaling are performed to avoid underflows and overflows during the calculations. A special linear solver using the eigenvalues and eigenvectors of the Jacobian matrix is implemented for overcoming disastrous singularity of this matrix, and the singular value decomposition method is applied for setting the initial guess. In addition, polynomial extrapolation is used for improving the performance when simulating a diagram of concentrations of species. The method was tested with 14 systems of different sizes over the whole pH range and presented robust and efficient behavior. © 1995 by John Wiley & Sons, Inc.
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  • 110
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    Journal of Computational Chemistry 16 (1995), S. 563-575 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The self-consistent reaction field (SCRF) method proposed by Miertus, Scrocco, and Tomasi (MST) has been optimized for MNDO and PM3 semiempirical Hamiltonians. Different algorithms used to compute the molecular electrostatic potential (MEP) and different solute cavities have been investigated. The ability of the optimized models to reproduce experimental free energies of solvation and to mimic the solvent effect in several chemical processes has been compared with the ab initio and AM1 versions of the MST method as well as with experimental data. © 1995 by John Wiley & Sons, Inc.
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  • 111
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    Journal of Computational Chemistry 16 (1995), S. 610-619 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The EFF'93 force field is used to study crystalline alkanes. In addition to detailed molecular geometries, the sublimation enthalpy, heat capacity, and lattice vibrations for a number of saturated hydrocarbons are reported and compared with experiment. © 1995 by John Wiley & Sons, Inc.
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  • 112
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The shape group method (SGM) and the associated (a,b)-parameter maps provide a detailed shape characterization of molecular charge distributions. This method is applied to the study of the variations of shape and conjugation of conformers of 2-phenyl pyrimidine in their electronic ground state. Within the SGM framework, the method of (a,b)-parameter maps provides a concise, nonvisual, algorithmic technique for shape characterization of molecules with fixed nuclear geometries. Moreover, shape codes derived from the (a,b)-parameter maps afford a practical means for efficiently storing the shape properties of molecules in an electronic database. The shape codes of two or more charge distributions can be compared directly, and numerical measures of molecular shape similarity can be computed using a technique that is simple, fast, and inexpensive, especially in relation to direct, pairwise comparisons of electronic charge densities. The quantitative and automated nature of the method suggests applications in the field of computer-aided molecular design. In this study, the method is used for the first time to determine detailed numerical shape codes and shape similarity measures for a nontrivial conformational problem involving changes in energy and in conjugation. Numerical shape similarity measures of eight conformers of 2-phenyl pyrimidine are determined and correlated with variations in conformational energy and conjugation. The competing effects of steric repulsion and conjugation lead to important correlations between conformational energy and shape. © 1995 John Wiley & Sons, Inc.
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  • 113
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Density functional theory is tested on a large ensemble of model compounds containing a wide variety of functional groups to understand better its ability to reproduce experimental molecular geometries, relative conformational energies, and dipole moments. We find that gradient-corrected density functional methods with triple-ζ plus polarization basis sets reproduce geometries well. Most bonds tend to be approximately 0.015 Å longer than the experimental results. Bond angles are very well reproduced and most often fall within a degree of experiment. Torsions are, on average, within 4 degrees of the experimental values. For relative conformational energies, comparisons with Hartree-Fock calculations and correlated conventional ab initio methods indicate that gradient-corrected density functionals easily surpass the Hartree-Fock approximation and give results which are nearly as accurate as MP2 calculations. For the 35 comparisons of conformational energies for which experimental data was available, the root mean square (rms) deviation for gradient-corrected functionals was approximately 0.5 kcal mol-1. Without gradient corrections, the rms deviation is 0.8 kcal mol-1, which is even less accurate than the Hartree-Fock calculations. Calculations with extended basis sets and with gradient corrections incorporated into the self-consistent procedure generate dipole moments with an rms deviation of 5%. Dipole moments from local density functional calculations, with more modest basis sets, can be scaled down to achieve roughly the same accuracy. In this study, all density functional geometries were generated by local density functional self-consistent calculations with gradient corrections added in a perturbative fashion. Such an approach generates results that are almost identical to the self-consistent gradient-corrected calculations, which require significantly more computer time. Timings on scalar and vector architectures indicate that, for moderately sized systems, our density functional implementation requires only slightly less computer resources than established Hartree-Fock programs. However, our density functional calculations scale much better and are significantly faster than their MP2 counterparts, whose results they approach. © 1995 John Wiley & Sons, Inc.
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  • 114
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this article the adaptation of the Empirical Conformational Energy Program for Peptides (ECEPP/3) and two conformational search methods [viz., the Monte Carlo minimization (MCM) method and the electrostatically driven Monte Carlo (EDMC) method] to the Kendall Square Research KSR1 computer is described. The MCM and EDMC methods were developed to surmount the multiple-minima problem in protein folding. Parallelization of these codes led to substantial speedups (expressed as the ratio between the mean time per energy evaluation in one processor and the mean time per energy evaluation in a set of processors) over the serial versions of these codes. A comparison of the performance of these algorithms on the KSR1 and on the IBM ES9000 computers is presented. © 1995 by John Wiley & Sons, Inc.
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  • 115
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    Journal of Computational Chemistry 16 (1995), S. 1170-1179 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new computational scheme integrating ab initio and molecular mechanics descriptions in different parts of the same molecule is presented. In contrast with previous approaches, this method is especially designed to allow the introduction of molecular mechanics corrections in full geometry optimizations concerning problems usually studied through ab initio calculations on model systems. The scheme proposed in this article intends to solve some of the systematic error associated with modeling through the use of molecular mechanics corrections. This method, which does not require any new parameter, evaluates explicitly the energy derivatives with respect to geometrical parameters and therefore has a straightforward application to geometry optimization. Examples of its performance on two simple cases are provided: the equilibrium geometry of cyclopropene and the energy barriers on SN2 reactions of alkyl chloride systems. Results are in satisfactory agreement with those of full ab initio calculations in both cases. © 1995 by John Wiley & Sons, Inc.
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  • 116
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    Journal of Computational Chemistry 16 (1995), S. 1210-1226 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Understanding molecular recognition is one of the fundamental problems in molecular biology. Computationally, molecular recognition is formulated as a docking problem. Ideally, a molecular docking algorithm should be computationally efficient, provide reasonably thorough search of conformational space, obtain solutions with reasonable consistency, and not require parameter adjustments. With these goals in mind, we developed DIVALI (Docking wIth eVolutionary AlgorIthms), a program which efficiently and reliably searches for the possible binding modes of a ligand within a fixed receptor. We use an AMBER-type potential function and search for good ligand conformations using a genetic algorithm (GA). We apply our system to study the docking of both rigid and flexible ligands in four different complexes. Our results indicate that it is possible to find diverse binding modes, including structures like the crystal structure, all with comparable potential function values. To achieve this, certain modifications to the standard GA recipe are essential. © 1995 John Wiley & Sons, Inc.
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  • 117
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 118
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    Journal of Computational Chemistry 16 (1995), S. 56-79 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio self-consistent field (SCF) Hartree-Fock calculations of sulfates R—O—SO3(-1) (R = Me, Et, i-Pr) and sulfamates R—NHSO3(-1) (R = H, Me, Et, i-Pr) were performed at the 4-31G(*S*N) //3-21G(*S*N) basis set levels, where asterisks indicate d functions on sulfur and nitrogen atoms. These standard levels were determined by comparing calculation results with several basis sets up to MP2/6-31G*//6-31G*. Several conformations per compound were studied to obtain molecular geometries, rotational barriers, and potential derived point charges. In methyl sulfate, the rotational barrier around the C—O bond is 1.6 kcal/mol at the MP2 level and 1.4 kcal/mol at the standard level. Its ground state has one of three HCOS torsion angles trans and one of three COSO torsion angles trans. Rotation over 60° around the single O—S bond in the sulfate group costs 2.5 kcal/mol at the MP2 and 2.1 kcal/mol at the standard level. For ethyl sulfate, the calculated rotational barrier in going from the ground state, which has its CCOS torsion angle trans, to the syn-periplanar conformation (CCOS torsion angle cis) is 4.8 kcal/mol. However, a much lower barrier of 0.7 kcal/mol leads to a secondary gauchelike conformation about 0.4 kcal/mol above the ground state, with the CCOS torsion angle at 87.6°. Again, one of the COSO torsion angles is trans in the ground state, and the rotational barrier for a 60° rotation of the sulfate group amounts to 1.8 kcal/mol. For methyl sulfamate, the rotational barriers are 2.5 kcal/mol around the C—N bond and 3.3 kcal/mol around the N—S bond. This is noteworthy because sulfamate itself has a calculated rotational barrier around the N—S bond of only 1.7 kcal/mol. These and other data were used to parameterize the well-known empirical force fields AMBER and CHARMm. When the new fields were tested by means of vibrational frequency calculations at the 6-31G*//6-31G* level for methyl sulfate, sulfamate, and methyl sulfamate ground states, the frequencies compared favorably with the AMBER and CHARMm calculated frequencies. The transferability of the force parameters to β-D-glucose-6-sulfate and isopropyl sulfate appears to be better than to isopropyl sulfamate. © 1995 by John Wiley & Sons, Inc.
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  • 119
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 120
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 121
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    Journal of Computational Chemistry 16 (1995), S. 311-327 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A modified derivation of the free energy perturbation (FEP) equation leads to a more general interpretation of the procedures for generating the geometry of a perturbed molecule from the reference one in FEP simulations of flexible systems. Using this form of the equation, it is possible to implement a wide variety of procedures which heretofore would have been considered impossible. A new method, generalized alteration of structure and parameters (GASP), has been implemented in the BOSS program and has been found to be more efficient for perturbations of harmonic degrees of freedom than the commonly adopted procedure. Additionally, an extreme example for which the new procedure proves less satisfactory is presented, and a more efficient method which is also derived from the new form of the FEP equation is devised and tested. It is concluded that the key to a convergent FEP method is efficient sampling of low-energy configurations of the perturbed state; the new form of the equation suggests ways of generating such configurations. © 1995 by John Wiley & Sons, Inc.
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  • 122
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    Journal of Computational Chemistry 16 (1995), S. 337-364 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present a robust and efficient numerical method for solution of the nonlinear Poisson-Boltzmann equation arising in molecular biophysics. The equation is discretized with the box method, and solution of the discrete equations is accomplished with a global inexact-Newton method, combined with linear multilevel techniques we have described in an article appearing previously in this journal. A detailed analysis of the resulting method is presented, with comparisons to other methods that have been proposed in the literature, including the classical nonlinear multigrid method, the nonlinear conjugate gradient method, and nonlinear relaxation methods such as successive overrelaxation. Both theoretical and numerical evidence suggests that this method will converge in the case of molecules for which many of the existing methods will not. In addition, for problems which the other methods are able to solve, numerical experiments show that the new method is substantially more efficient, and the superiority of this method grows with the problem size. The method is easy to implement once a linear multilevel solver is available and can also easily be used in conjunction with linear methods other than multigrid. © 1995 by John Wiley & Sons, Inc.
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  • 123
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 124
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    Journal of Computational Chemistry 16 (1995), S. 405-413 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The mechanism of the photoreaction of tetramethylene sulfone (TMSO2) was investigated by the semiempirical molecular orbital (MO) method SINDO1. The relevant low-lying potential energy surfaces, which were calculated with limited configuration interaction (CI), were studied by optimizing intermediates and transition structures and by introducing linear interpolations between these stationary points. The main initial reaction step for all important products is an α cleavage of one C—S bond. This leads to an intermediate that can be classified as an excited singlet diradical. Its electronic structure is described with a two-electron, three-orbital model. Starting from this initially generated intermediate, the reaction branches into several pathways leading to various products. Feasible reaction pathways were established for all important products consistent with experiments. © 1995 by John Wiley & Sons, Inc.
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  • 125
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    Journal of Computational Chemistry 16 (1995), S. 449-453 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We used the comparative molecular field analysis (CoMFA) method to correlate the rate constant (log k) for the SN2 reaction of benzyl benzenesulfonates and p-methoxybenzylamines. Molecular fields calculated with a C+ probe produced a good correlation with a small standard deviation and a high correlation coefficient with cross validation. This study demonstrated that CoMFA is an excellent method in predicting the physicochemical properties of the molecule such as LUMO energy and rate constants. © 1995 by John Wiley & Sons, Inc.
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  • 126
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    Journal of Computational Chemistry 16 (1995), S. 486-500 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In the search for new drugs, it often occurs that the binding affinities of several compounds to a common receptor macromolecule are known experimentally, but the structure of the receptor is not known. This article describes an extraordinarily objective computer algorithm for deducing the important geometric and energetic features of the common binding site, starting only from the chemical structures of the ligands and their observed binding. The user does not have to propose a pharmacophore, guess the bioactive conformations of the ligands, or suggest ways to superimpose the active compounds. The method takes into account conformational flexibility of the ligands, stereospecific binding, diverse or unrelated chemical structures, inaccurate or qualitative binding data, and the possibility that chemically similar ligands may or may not bind to the receptor in similar orientations. The resulting model can be viewed graphically and interpreted in terms of one or more binding regions of the receptor, each preferring to be occupied by various sorts of chemical groups. The model always fits the given data completely and can predict the binding of any other ligand, regardless of chemical structure. The method is an outgrowth of distance geometry and Voronoi polyhedra site modeling but incorporates several novel features. The geometry of the ligand molecules and the site is described in terms of intervals of internal distances. Determining the site model consists of reducing the uncertainty in the interregion distance intervals, and this uncertainty is described as intervals of intervals. Similarly, the given binding affinities and their experimental uncertainties are treated as intervals in the affinity scale. The final site model specifies an entire region of interaction energy parameters that satisfy the training set rather than a single set of parameters. Predicted binding for test compounds results in an interval which, when compared to the experimental interval, may be correct, incorrect, or vague. There is a pervasive ternary logic involved in the assessment of predictions, in the search for a satisfactory model, and in judging whether a given molecule may bind in a particular orientation: true, false, or maybe. The approach is illustrated on an extremely simple artificial example and on a real data set of cocaine analogues binding to a nerve membrane receptor in vitro. © 1995 by John Wiley & Sons, Inc.
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  • 127
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    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 128
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    Journal of Computational Chemistry 16 (1995), S. 517-526 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We consider rigorous evaluation of conjugated-circuit resonance energies for families of structurally related benzenoid hydrocarbons of increasing size. Local and global aromatic properties of such molecules are investigated with particular interest in modeling high polymers. Using the algebra of large numbers, exact formulas for contributions from individual benzene rings of polymers with up to 25,000 repeating units (close to half a million carbon atoms) were derived. All arithmetic procedures were carried out in terms of whole numbers retaining all digits, of which there were sometimes more than 105. © 1995 by John Wiley & Sons, Inc.
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  • 129
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    Journal of Computational Chemistry 16 (1995), S. 545-562 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The polarizability and hyperpolarizabilities of nitrophenols as model compounds for studying nonlinear optics have been investigated at the Hartree-Fock level of approximation by means of the Dalgarno Uncoupled Hartree-Fock (DUHF) or Sum Over Orbitals (SOO) method. The additive character and the charge transfer effects in α, β, and γ have been analyzed in terms of the σ and π molecular orbital contributions, the contribution of the individual π molecular orbitals, and the contribution of the highest occupied and the lowest unoccupied molecular orbitals. Within the SOO approach, the reliability of the Two-Level Model has been tested and the influence of the rotation of the nitro group and of the presence of the intramolecular hydrogen bonding in ortho-nitrophenol have been studied. The results show that the present method is a reliable and efficient tool for the prediction of trends in the molecular polarizability and hyperpolarizabilities of large molecules. © 1995 by John Wiley & Sons, Inc.
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  • 130
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    Journal of Computational Chemistry 16 (1995), S. 595-609 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new empirical force field for saturated hydrocarbons is presented. It is applicable to gaseous and crystalline alkanes that do not contain four- or three-membered rings. The force field allows the calculation of structural, thermodynamic, and vibrational properties of both simple and highly strained molecules to an accuracy comparable to experiment. Vibrational frequencies are improved considerably as compared to MM3. © 1995 by John Wiley & Sons, Inc.
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  • 131
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
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    Notes: The conformational preferences of oxymethylpyridines have been investigated by ab initio calculations and compared to similar calculations for oxymethylbenzene. The C—O bond in the pyridine compounds was found to prefer eclipsing with a C—C bond in the ring, in agreement with previous observations but in disaccord with tentative MM2 calculations. The effect was most pronounced in the 2-substituted pyridine. The benzene compound, on the other hand, showed good agreement between the energies from MM2, MM3, and ab initio calculations. The conformational preferences are discussed in terms of stereoelectronic interactions. New MM2 and MM3 parameters were determined from ab initio calculations on nonstationary points on the energy hypersurface. The parameterization method is discussed. © 1995 by John Wiley & Sons, Inc.
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  • 132
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    Journal of Computational Chemistry 16 (1995) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 133
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    Journal of Computational Chemistry 16 (1995), S. 146-153 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Results from ab initio self-consistent field (SCF) calculations with a 3-21G and a double-zeta-plus polarization (DZP) basis set on four low-energy conformations of cyclohexaglycine are reported. In agreement with results from semiempirical and molecular mechanics force field calculations, the lowest-energy conformation found at the DZP level is a conformation forming six C7 turns. However, the energy difference to the β-turn conformers is significantly smaller at the ab initio DZP level than calculated by the other methods. In contrast to the results obtained with some of the other methods, the present ab initio calculations show that both the double-type-I β turn and the double-type-II β-turn conformer of cyclohexaglycine are stable low-energy structures. © 1995 by John Wiley & Sons, Inc.
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  • 134
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    Journal of Computational Chemistry 16 (1995), S. 171-187 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: This article introduces several methods of assessing the extent to which a collection of conformations represents or covers conformational space. It also describes poling: a novel technique for promoting conformational variation that can be applied to any method of conformational analysis that locally minimizes a penalty or energy function. The function being minimized is modified to force similar conformers away from each other. The method is independent of the origin of the initial conformers and of the particular minimization method used. It is found that, with the modification of the penalty function, clustering of the resulting conformers is generally unnecessary because the conformers are forced to be dissimilar. The functional form of the poling function is presented, and the merits are discussed with reference to (1) efficacy at promoting variation and (2) perturbation of the unmodified function. Results will be presented using conformers obtained from distance geometry with and without poling. It will be shown that the addition of poling eliminates much redundancy in conformer generation and improves the coverage of the conformational space. © 1995 by John Wiley & Sons, Inc.
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  • 135
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The force field previously obtained for both anomers of glucose has been applied to six disaccharides that are molecules of D-glucopyranosyl residues. These six disaccharides have different types of glycosidic linkages - that is, α, α trehalose dihydrate (1-1), sophorose monohydrate (β, 1-2), laminarabiose (β, 1-3), maltose monohydrate (α, 1-4) and cellobiose (β, 1-4), and gentiobiose (β, 1-6). From a careful analysis of the infrared and Raman spectra and from harmonic dynamics calculations in the crystalline state, the results show the reliability and the transferability of the set of parameters previously obtained for different carbohydrates. Below 1500 cm-1, observed data and the corresponding calculated frequencies agreed within 5 cm-1 for each of the six disaccharides. The vibrational density of states are well reproduced by these calculations for each molecule, particularly for the fingerprint regions. Moreover, as found by other workers who used sophisticated potential energy functions, no additional terms are needed to express the exoanomeric effect. Specific force constants characteristic of each glycosidic linkage have been derived, particularly for the glycosidic angle bending. More interesting are the values of the internal rotation barriers. It is shown that they are of the same size for both sides of the glycosidic linkage: VC1O1 = VO1Cx′ = 3.29 kcal/mol for an alpha residue and 2.64 kcal/mol for a beta unit (x = 1-6 depends on the position of the glycosidic linkages of the considered disaccharide). © 1995 by John Wiley & Sons, Inc.
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  • 136
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    Journal of Computational Chemistry 16 (1995), S. 154-170 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A general methodology for deriving geometry-dependent atomic charges is presented. The main ingredient of the method is a model that describes the molecular dipole moment in terms of geometry-dependent point charges. The parameters of the model are determined from ab initio calculations of molecular dipole moments and their Cartesian derivatives at various molecular geometries. Transferability of the parameters is built into the model by fitting ab initio calculations for various molecules simultaneously. The results show that charge flux along the bonds is a major contributing factor to the geometry dependence of the atomic charges, with additional contributions from fluxes along valence angles and adjacent bonds. Torsion flux is found to be smaller in magnitude than the bond and valence angle fluxes but is not always unimportant. A set of electrostatic parameters is presented for alkanes, aldehydes, ketones, and amides. Transferability of these parameters for a host of molecules is established to within 3 -5% error in the predicted dipole moments. A possible extension of the method to include atomic dipoles is outlined. With the inclusion of such atomic dipoles and with the set of transferable point charges and charge flux parameters, it is demonstrated that molecular electrostatic potentials as well as electrostatic forces on nuclei can be reproduced much better than is possible with other models (such as potential derived charges). © 1995 by John Wiley & Sons, Inc.
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  • 137
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    Journal of Computational Chemistry 16 (1995), S. 586-594 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: It is shown that with the use of published one-center INDO parameters for transition metals M, it is not possible to reproduce experimental relative energies of the electronic states of M, M+, and M2+ accurately enough. Two new sets of INDO parameters for the elements of the I and II transition rows are developed. These parameters are obtained by the method which ensures that the calculated energy differences between atomic electron states are in agreement with the experimental data. The results of some molecular test calculations are presented. © 1995 by John Wiley & Sons, Inc.
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  • 138
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    Journal of Computational Chemistry 16 (1995), S. 1055-1066 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio calculations using both pseudopotential and double and triple-ζ all-electron basis sets, with and without electron correlation (MP2, QCISD), have been performed on the λ4-sulfanyl (SH3), λ4-selanyl (SeH3), and λ4-tellanyl (TeH3) radicals. All-electron basis sets of double-ζ quality predict that SH3 and SeH3 correspond to transition states on their respective potential energy surfaces. In contrast, the pseudopotentials of Hay and Wadt predict that SH3 and SeH3 correspond to local minima at the QCISD level of theory while the pseudopotentials of Christiansen and Stevens predict transition states. By comparison, TeH3 proved to be a local minimum at all levels of theory. Interestingly, when a very large (triple-ζ) all-electron basis set was used, SH3 proved to be a transition state; however, in this instance the potential energy surface was found to be much flatter than in the case for which a double-ζ basis set was used, suggesting that further improvements in the basis set may lead to a local minimum. Further improvements in the all-electron selenium basis also led to a local minimum for SeH3 at the QCISD level of theory. © 1995 by John Wiley & Sons, Inc.
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  • 139
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
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    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The realization that conformational flexibility must be incorporated into the description of the structural and dynamical behavior of carbohydrates has stimulated the quest for an appropriate force field and associated parameterization capable of dealing with the many specific features of these molecules. Accordingly, we set out to evaluate the capacity of very different force fields to reproduce a series of experimental spectral data such as optical rotatory dispersion, coupling constants, and nuclear Overhauser effects. NOESY volumes and long-range homonuclear and heteronuclear vicinal coupling constants were measured at 400.13 MHz. Optical rotation measurements were also performed on ethyl β-lactoside. The conformational behavior of ethyl β-lactoside was investigated in three different molecular mechanics force fields leading to three complete ensembles of theoretical conformations, which were used for evaluating these statistically averaged observables. The calculations of optical rotation followed a recent model based on interacting oscillators. Coupling constants were calculated using the appropriate sets of Karplus-type equations, and theoretical nuclear magnetic resonance (NMR) relaxation data were obtained for models which account for either slow or fast internal motions. The calculated potential energy surfaces were shown to be dependent on the type of force field, even in the case of such a simple disaccharide. They differ in several respects, including the number and location of low-energy conformers and the shallowness of the dominant primary region. It was possible to assess the different time-averaged orientations about the glycosidic linkage of the three force fields from the fit obtained for the interglycosidic heteronuclear coupling constants. Poor fits between theoretical and experimental NOESY volumes were observed for all three force fields when the slow internal motion model was used, while a greatly improved fit was obtained when the fast internal motions model was applied. It has been shown that the motional model established from NOESY data is analogous to the one obtained from molecular dynamics simulations. The quality of the fit for the NOESY data varies with the force fields and corroborates the classification obtained from heteronuclear coupling. © 1995 by John Wiley & Sons, Inc.
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  • 140
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    Journal of Computational Chemistry 16 (1995) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
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  • 141
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    Journal of Computational Chemistry 16 (1995), S. 1181-1191 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We have developed a novel simulation strategy based on cellular automata methods which can be used to simulate a variety of physicochemical processes, including those involved in polymerization. Our approach leads to dynamic, parallel models. This strategy can address several classes of questions in technologically or scientifically important systems for which only limited structural or dynamical information is available by current experimental techniques. We illustrate the use of our methods by creating a model of lignification in vivo. The monomers are represented by pseudo-diatomic molecules as a refinement to the usual point-particle geometry normally used in such models. Our lignification model captures the essence of the underlying physical processes, as evidenced by the fact that it reproduces satisfactorily many experimentally determined properties of lignin. Due to the inherent efficiency of parallel cellular automata, our simulation strategy shows great promise, particularly for modeling species of very high molecular weight (over 106 daltons). © 1995 John Wiley & Sons, Inc.
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  • 142
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    Journal of Computational Chemistry 16 (1995), S. 1227-1237 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Restricted Hartree-Fock (RHF), second-order Møller-Plesset (MP2), and density functional calculations [using the Becke/Lee-Yang-Parr (B-LYP) exchange/correlation gradient-corrected functionals] employing the 6-311G(d, p) and 6-311 + + G(d, p) basis sets have been carried out to calculate isodesmic bond separation energies for reactions involving a number of representative five- and six-membered ring organic compounds. The MP2 and density functional approaches yield reasonably good energies; the density functional method agrees particularly well with experiment, exhibiting a root-mean-square error of only 2.5 kcal/mol. Ring geometries are calculated satisfactorily in all approaches but are given particularly accurately by the MP2 approach. A comparison of the B-LYP bond separation energies with several other definitions of resonance energy shows that these different approaches correlate with each other in a reasonable fashion. © 1995 John Wiley & Sons, Inc.
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  • 143
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    Journal of Computational Chemistry 16 (1995), S. 1238-1249 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new method is proposed for the evaluation of numerical similarity measures for large molecules, defined in terms of their electron density (ED) distributions. The technique is based on the Molecular Electron Density Lego Assembler (MEDLA) approach, proposed earlier for the generation of ab initio quality electron densities for proteins and other macromolecules. The reliability of the approach is tested using a family of 13 substituted aromatic systems for which both standard ab initio electron density computations and the MEDLA technique are applicable. These tests also provide additional examples for evaluating the accuracy of the MEDLA technique. Electron densities for a series of 13 substituted benzenes were calculated using the standard ab initio method with STO-3G, 3-21G, and 6-31G** basis sets as well as the MEDLA approach with a 6-31G** database of electron density fragments. For each type of calculation, pairwise similarity measures of these compounds were calculated using a point-by-point numerical comparison of the EDs. From these results, 2D similarity maps were constructed, serving as an aid for quick visual comparisons for the entire molecular family. The MEDLA approach is shown to give virtually equivalent numerical similarity measures and similarity maps as the standard ab initio method using a 6-31G** basis set. By contrast, significant differences are found between the standard ab initio 6-31G** results and the standard ab initio results obtained with smaller STO-3G and 3-21G basis sets. These tests indicate that the MEDLA-based similarity measures faithfully mimic the actual, standard ab initio 6-31G** similarity measures, suggesting the MEDLA method as a reliable technique to assess the shape similarities of proteins and other macromolecules. The speed of the MEDLA computations allows rapid, pairwise comparisons of the actual EDs for a series of molecules, requiring no more computer time than other simplified, less detailed representations of molecular shape. The MEDLA method also reduces the need to store large volumes of numerical density data on disk, as these densities can be quickly recomputed when needed. For these reasons, the proposed MEDLA similarity analysis technique is likely to become a useful tool in computational drug design. © 1995 John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 1291-1300 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The availability of massively parallel computers with high computation rates but limited memory and input/output bandwidth prompts the reevaluation of appropriate solution schemes for the self-consistent field (SCF) equations. Several algorithms are considered which exhibit between linear and quadratic convergence using various approximations to the orbital Hessian. A prototype is developed to understand the computational expense of each approach. The optimal choice is found to be a conjugate-gradient method preconditioned with a level-shifted approximation to the orbital Hessian. This is a compromise between efficiency, stability, and low memory usage. Sample benchmarks on two parallel supercomputers are also reported. © 1995 John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 1459-1467 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: This article presents a new method for topological analysis of molecular surfaces. Explicit representation of the van der Waals interaction according to the Lennard-Jones potential enabled determination of the function of the maximum radius of a hypothetical atomic probe in any location, r, inside the host's domain. The size of the spatial gradient of the maximal probe's volume (named the ξ value) at that location was found to be a good descriptor of the local shape of the host. Consequently, mapping of the host domain according to the ξ value could be used as a quantitative tool for localization of potent local binding sites. The proposed method is illustrated by mapping an organic host (calix[4]arene) as well as an enzyme (HIV-aspartic protease). Analysis of the calix[4]arene derivative revealed that the proposed method reproduces immediately the known binding site of conic calix[4]arenes. The second test case demonstrated how the catalytic site of the enzyme could be disassembled into many local binding sites. Some of these sites, located according to the proposed method, were found to follow the shape of a known inhibitor of the enzyme in a complementary manner. © 1995 John Wiley & Sons, Inc.
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  • 146
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
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    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Three- and four-center Slater orbital bielectronic integrals are evaluated by means of a complete function set. The method provides a series to approximate the bielectronic integrals. Their corresponding partial sums are analyzed in detail for 1s orbitals. The comparison with the Fourier transform-based method brings forth encouraging perspectives for the present approach. © 1995 John Wiley & Sons, Inc.
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  • 147
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    Journal of Computational Chemistry 16 (1995), S. 1522-1542 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Methods have been developed for the determination of vibrational frequencies and normal modes of large systems in the full conformational space (including all degrees of freedom) and in a reduced conformational space (reducing the number of degrees of freedom). The computational method, which includes Hessian generation and storage, full and iterative diagonalization techniques, and the refinement of the results, is presented. A method is given for the quasiharmonic analysis and the reduced basis quasiharmonic analysis. The underlying principle is that from the atomic fluctuations, an effective harmonic force field can be determined relative to the dynamic average structure. Normal mode analysis tools can be used to characterize quasiharmonic modes of vibration. These correspond to conventional normal modes except that anharmonic effects are included. Numerous techniques for the analyses of vibrational frequencies and normal modes are described. Criteria for the analysis of the similarity of low-frequency normal modes is presented. The approach to determining the natural frequencies and normal modes of vibration described here is general and applicable to any large system. © 1995 John Wiley & Sons, Inc.This article is a U.S. Government work and, as such, is in the public domain in the United States of America.
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    Journal of Computational Chemistry 16 (1995), S. 654-658 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A general procedure is presented for computing the gas phase heats of formation of a wide variety of organic compounds. ΔE for the formation of the molecule from its elements at 0 K is obtained from density functional calculations (Gaussian 92/DFT) for optimized geometries. This result is converted to ΔH at 298 K by assuming ideal behavior and adding the translational, rotational, and vibrational energies. Additive correction terms corresponding to the various coordination states of the carbons, nitrogens, and oxygens were developed using a database of 54 compounds. The experimental ΔHƒo values of these compounds are then reproduced with an average absolute error of 3 kcal/mol and a standard deviation of 4 kcal/mol. For a group of 10 test cases that were not part of the database, the average absolute error is 3.5 kcal/mol and the standard deviation is 4.1 kcal/mol. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 659-666 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio MP2/6-31G** calculations render the same mechanism for the gas-phase addition of HF and HCl to ethylene in contrast with previous HF/3-21G calculations. The leading interaction is in both cases the electrophilic attachment of the hydrogen atom in the hydrogen halide to a carbon atom in ethylene. The presence of a second molecule of hydrogen halide causes a catalytic effect by allowing an alternative mechanism for electron density rearrangement through ethylene polarization. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 705-714 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Two exquisite models of the acyl-chymotrypsin intermediate, one designed by Bruice and another by Bender, were studied to elucidate the role of the carboxylate ion in the catalytic triad of serine proteases. However, opposing conclusions were drawn from these studies. Computational chemistry analysis of these models indicates that the carboxylate ion plays an insignificant role in the former model because of the correct orientation and the distance of the imidazole group without the carboxylate ion. However, in the latter model, the carboxylate ion serves to orient and place the imidazole group at the correct position. This analysis suggests that an important role of the carboxylate ion in serine proteases is to position the imidazole group to be an effective general base catalyst. © 1995 by John Wiley & Sons, Inc.
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  • 151
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    Journal of Computational Chemistry 16 (1995), S. 743-757 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We address the problem of marking points on a grid lattice of arbitrary size and spacing as either accessible or inaccessible to a solvent-sized spherical probe. It is shown that an analytical description of the solvent-accessible volume suitable for rapidly testing a large number of lattice points can be constructed from relatively simple geometric elements. By first constructing these basic analytical elements and storing them in suitable data structures, any number of subsequent lattice markings can be carried out. This approach leads to increased computational efficiency whenever a multiple calculation using different lattice sizes and scales is necessary on the same molecular geometry. We also present an algorithm for determining the analytical volume elements. Some aspects of this algorithm, particularly the method for finding all sterically allowed probe positions in which the probe simultaneously contacts three atoms, may also be useful for improving the speed and reliability of analytical surface area calculations. An object-oriented implementation of these algorithms written in C + + is freely available via Internet. © 1995 by John Wiley & Sons, Inc.
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  • 152
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    Journal of Computational Chemistry 16 (1995), S. 777-789 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We compare the electrostatic potential surrounding several natural and synthetic nucleic acid bases calculated using an atom-centered multiple expansion (ACME) derived from integration of the charge distribution with that from potential-derived charges (PDCs) obtained using the CHELPG procedure. When the multipole expansions are carried out to octapoles, the root mean square (rms) error in the potential is always less than that from PDCs. Electrostatic interactions in pairs of these nucleic acid bases were also evaluated using ACMEs up to octapoles and PDCs. The electrostatic interaction energies from ACMEs were found always to be larger than those from PDCs or the total self-consistent field (SCF) interaction energy. The value of the electrostatic energy differs by as much as approximately 19 or as little as approximately 8 kJ/mol between the ACME and PDC methods. The rank ordering provided by the electrostatic models is grossly similar but differs in the ranking of systems with two and three hydrogen bonds. A rigid twist about the N—H ⃛ N axis of the pairs was examined using SCF calculations and the electrostatic models. It was found that with ACMEs the energy required for a 90-degree rotation was always higher than that found from SCF calculations. With PDCs, similar results are obtained, except with the adenine/thymine and 9-methyl-adenine/1-methyl-thymine pairs. In these instances, the barrier is about 4 kJ/mol lower than that found with SCF calculations. These results demonstrate that integration of the charge density can provide convergent multipole expansions that provide a more accurate description of the electrostatic potential than the commonly used PDC model. In addition, the description of electrostatic interactions during twisting of AT and mAmT given by this model is shown to be somewhat anomalous. © 1995 by John Wiley & Sons, Inc.
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  • 153
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    Journal of Computational Chemistry 16 (1995), S. 791-816 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The (φ, ψ) energy surface of blocked alanine (N-acetyl-N′-methyl alanineamide) was calculated at the Hartree-Fock (HF)/6-31G* level using ab initio molecular orbital theory. A collection of six electrostatic models was constructed, and the term electrostatic model was used to refer to (1) a set of atomic charge densities, each unable to deform with conformation; and (2) a rule for estimating the electrostatic interaction energy between a pair of atomic charge densities. In addition to two partial charge and three multipole electrostatic models, this collection includes one extremely detailed model, which we refer to as nonspherical CPK. For each of these six electrostatic models, parameters - in the form of partial charges, atomic multipoles, or generalized atomic densities - were calculated from the HF/6-31G* wave functions whose energies define the ab initio energy surface. This calculation of parameters was complicated by a problem that was found to originate from the locking in of a set of atomic charge densities, each of which contains a small polarization-induced deformation from its idealized unpolarized state. It was observed that the collective contribution of these small polarization-induced deformations to electrostatic energy differences between conformations can become large relative to ab initio energy differences between conformations. For each of the six electrostatic models, this contribution was reduced by an averaging of atomic charge densities (or electrostatic energy surfaces) over a large collection of conformations. The ab initio energy surface was used as a target with respect to which relative accuracies were determined for the six electrostatic models. A collection of 42 more complete molecular mechanics models was created by combining each of our six electrostatic models with a collection of seven models of repulsion + dispersion + intrinsic torsional energy, chosen to provide a representative sample of functional forms and parameter sets. A measure of distance was defined between model and ab initio energy surfaces; and distances were calculated for each of our 42 molecular mechanics models. For most of our 12 standard molecular mechanics models, the average error between model and ab initio energy surfaces is greater than 1.5 kcal/mol. This error is decreased by (1) careful treatment of the nonspherical nature of atomic charge densities, and (2) accurate representation of electrostatic interaction energies of types 1 - 2 and 1 - 3. This result suggests an electrostatic origin for at least part of the error between standard model and ab initio energy surfaces. Given the range of functional forms that is used by the current generation of protein potential functions, these errors cannot be corrected by compensating for errors in other energy components. © 1995 by John Wiley & Sons, Inc.
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  • 154
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 155
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    Journal of Computational Chemistry 16 (1995), S. 923-936 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An artificial neural network (ANN) method for the prediction of force constants of chemical bonds in large, polyatomic molecules was developed. The force constant information evaluated is to be used for generating accurate estimates of the Hessian used in Newton-Raphson-type ab initio molecular structure optimization schemes. Different network topologies as well as a training procedure based on simulated annealing are evaluated. The results show that an ANN can be designed and trained to provide force constant information within a 1.5 to 5% error band even if the range of the force constants evaluated is very large (from triple bonds to hydrogen bridges). © 1995 by John Wiley & Sons, Inc.
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  • 156
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    Journal of Computational Chemistry 16 (1995), S. 951-972 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An empirical modified boundary potential has been derived to correct the structural perturbations arising from the presence of the vacuum boundary in the simulation of spherical TIP4P water systems. The potential is parameterized for a 12.0-Å sphere of TIP4P water and gives improved number density and orientational sampling behavior. It is also transferable to both larger and smaller simulation systems with only a moderate degradation in performance. Free-energy calculations have been conducted for the perturbation of a TIP4P water molecule to methane under aqueous conditions, and the modified boundary potential gives results consistent with those from simulations using periodic boundary conditions. However, simple half-harmonic boundary potentials give unsatisfactory number density, orientational sampling, and free-energy results. Moreover, use of the modified boundary potential results in a negligible increase in simulation time. It is envisaged that the modified boundary potential will find use in free-energy perturbation calculations on proteins with a solvent sphere centered on the active site. © 1995 by John Wiley & Sons, Inc.
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  • 157
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    Notes: The parameters for an empirical point charge calculation method, Mulliken Population Constrained Potential Derived-Modified Partial Equalization of Orbital Electronegativity (MPCPD-MPEOE) method, for hypervalent sulfur, phosphorus, and the atoms bonded to these atoms, were determined. A new empirical method, MPCPD, which has inherent advantages over both the Mulliken population and potential derived methods, is proposed here. The MPCPD net atomic charges are transferable and reproduce the electrostatic potential. The electrical properties were calculated with the MPCPD and MPCPD-MPEOE charges. These properties agreed well with experimental results and with 6-31G** ab initio results. The MPEOE parameters for the sulfur atom in aromatic molecules and trivalent phosphorus in phosphite molecules were also determined. The dipole moments calculated with the MPCPD-MPEOE point charges agreed well with experimental results. All the parameters obtained in this work are consistent with those obtained in our previous work. © 1995 by John Wiley & Sons, Inc.
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  • 158
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
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  • 159
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    Journal of Computational Chemistry 16 (1995), S. 1067-1080 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Density functional calculations on several classes of organolithium compounds are described. The compounds studied include lithium bonds to carbon, oxygen, and nitrogen and are representative of most types of organolithium compounds that have appeared in the recent literature. The computational results are compared to those using MNDO, which has been shown to have some serious deficiencies in compounds involving carbon-lithium bonds, and to PM3 results, which offer some improvement over MNDO for many organolithium compounds. Most of the density functional calculations with a large basis set are in good agreement with available ab initio and experimental data. Calculated carbon-lithium bond lengths were slightly shorter than those calculated by other ab initio methods and were substantially longer than those calculated by MNDO, which is known to underestimate carbon-lithium bond lengths severely. Dimerization energies of methyllithium, calculated by DMol, were also in good agreement with those of other ab initio calculations. Lithium-nitrogen bonds in lithium amides were calculated to be slightly shorter by DMol than by MNDO, although the two methods were in qualitative agreement for this type of compound. © 1995 by John Wiley & Sons, Inc.
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  • 160
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    Journal of Computational Chemistry 16 (1995), S. 1261-1270 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An equation been derived to calculate, ab initio, the frequencies and intensities of a resonant Raman spectrum from the transform theory of resonance Raman scattering. This equation has been used to calculate the intensities of the ultraviolet resonance Raman spectra from the first π-π* excited state of uracil and 1,3-dideuterouracil. The protocol for this calculation is as follows: (1) The force constant matrix elements in Cartesian coordinate space, the vibrational frequencies, and the minimum energy ground and excited state geometries of the molecule are calculated ab initio using the molecular orbital program Gaussian 92, (2) the force constants in Cartesian coordinates are transformed into force constants in the space of a set of 3N - 6 nonredundant symmetrized internal coordinates, (3) the G matrix is constructed from the energy minimized ground state Cartesian coordinates and the GFL = LΛ eigenvalue equation is solved in internal coordinate space, (4) the elements of the L and L-1 matrices are calculated, (5) the changes in all of the internal coordinates in going from the ground to the excited state are calculated, and (6) these results are used in combination with the transform theory of resonance Raman scattering to calculate the relative intensities of each of the 3N - 6 vibrations as a function of the exciting laser frequency. There are no adjustable parameters in this calculation, which reproduces the experimental frequencies and intensities with remarkable fidelity. This indicates that the Dushinsky rotation of the modes in the excited state of these molecules is not important and that the simplest form of the transform theory is adequate. © 1995 John Wiley & Sons, Inc.
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  • 161
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 162
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    Journal of Computational Chemistry 16 (1995), S. 20-30 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new formulation (CLS-PCM) for the calculation of the apparent surface charges in the framework of the ab initio polarizable continuum model of the solvent (PCM) is introduced. Its performance is compared with that of the original iterative version (ITER-PCM) of the method as well as with a matricial alternative formulation (matrix-BEM-PCM) of the same problem. Both CLS-PCM and matrix-BEM-PCM have shown to be computationally more efficient than ITER-PCM without presenting any problems associated with the convergence of the process. Although for small and medium-size solutes the use of matrix-BEM-PCM is recommended, for neutral solutes of larger size the use of CLS2 becomes computationally more convenient. Finally, for very large-size systems, compromise between matrix storage requirements, time of calculation, and exactness of the results may make preferable the use of the more approximate CLS1 formalism, possibly in conjunction with semiempirical or semiclassical descriptions of the solute. © 1995 by John Wiley & Sons, Inc.
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  • 163
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    Journal of Computational Chemistry 16 (1995), S. 31-36 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The geometries of a fourfold bridged tricyclo[4.2.0.02,5]octa-3,7-diene (1) and its photoproducts 2 and 3 were calculated by Hartree-Fock ab initio (3-21G and DZP basis) and semiempirical (MNDO, AM1, MINDO /3) methods. It was found that due to the smaller distance between the double bonds in 1 (2.65 Å) as compared to the parent tricyclo[4.2.0.02,5]octa-3,7-diene (4) (2.91 Å), the sequence of the frontier orbitals is different. In the case of 1, the photochemical [2 + 2]cycloaddition is allowed, whereas in 4 it is forbidden. © 1995 by John Wiley & Sons, Inc.
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  • 164
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    Journal of Computational Chemistry 16 (1995), S. 1-19 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The point-chart approximation of the Miertus-Scrocco-Tomasi solvation model (MST-PC) based on a continuum representation of the solvent has been incorporated in force field calculations. Application in molecular mechanics (MM) involves conformational equilibria in solution: rotational isomers of ethylene glycol (I), 1,2-difluoreothane (II), fluoroacetic acid (III), and representative conformers of macrocyclic receptors such as 18-crown-6 (IV), cryptand 2.2.2 (V), and t-butyl-calix[4]arenetetraamide (VI). Assessment of the MST-PC results is based on the comparison with ab initio reactive field calculations (for I-III), with the continuum model of Still (W. C. Still et al., J. Am. Chem. Soc., 1990, 112, 6127) (for I-VI), and with average solute-solvent interaction energies obtained from molecular dynamics (MD) simulations with explicit solvent in water (I-VI) and in acetonitrile (IV-VI). It is demonstrated that the continuum solvent model qualitatively reproduces the trends in solvation energies in water. The few exceptions may be related to particular topological features of the solute. An improved discrete/continuum approach in which some first-shell solvent molecules are considered as a part of the solute embedded in the dielectric continuum provides more realistic results, as is shown for VI in water. The MST-PC model which mimics the solute-solvent electrostatic interaction only fails to reproduce conformationally dependent solvation energies in acetonitrile, in which the electrostatic contribution is relatively small compared to van der Waals interactions. Exploratory MD simulations within the continuum model in water are reported on urea and 18-crown-6. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 37-55 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The embedding of a quantum mechanically described subsystem by classical representations of its surroundings is reviewed. The choices for a distributed monopole representation and a distributed (group) polarizability representation, as well as the continuum approach to model bulk effects, are discussed. Focus is on the practical implementation of the classical description in quantum chemistry codes (in particular, HONDO8.1). Expressions are given for the self-consistent coupling between the classical partitions (dipole polarizabilities and boundary surface dipoles and charges) and for the coupling between classical and quantum partitions. The latter is mediated through expanded, rather than exact, potentials and fields. In this way, the computation of only a limited number of formal interactions between unit charge distributions located at the expansion centers suffices to evaluate the reaction field contributions. The electronic part of the coupling can be included in the Hamiltonian via the Fock matrix. The field operators, as well as the one- and two-electron matrix elements over the basis functions, are simple. The expressions for these are given explicitly.Nonequilibrium potentials and Monte Carlo sampling over classical degrees of freedom have been added to better mimic experimental conditions. © 1995 by John Wiley & Sons, Inc.
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  • 166
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    Journal of Computational Chemistry 16 (1995), S. 91-104 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A parallel direct self-consistent field (SCF) algorithm for distributed memory computers is described. Key features of the algorithm are its ability to achieve a load balance dynamically, its modest memory requirements per processor, and its ability to utilize the full eightfold index permutation symmetry of the two-electron integrals despite the fact that entire copies of the Fock and density matrices are not present in each processor's local memory. The algorithm is scalable and, accordingly, has the potential to function efficiently on hundreds of processors. With the algorithm described here, a calculation employing several thousand basis functions can be carried out on a distributed memory machine with 100 or more processors each with just 4 MBytes of RAM and no disk. The Fock matrix build portion of the algorithm has been implemented on a 16-node Intel iPSC/2. Results from benchmark calculations are encouraging. The algorithm shows excellent load balance when run on 4, 8, or 16 processors and displays almost ideal speed-up in going from 4 to 16 processors. Preliminary benchmark calculations have also been carried out on an Intel Paragon. © 1995 by John Wiley & Sons, Inc.
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  • 167
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    Journal of Computational Chemistry 16 (1995), S. 105-112 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Feynman's path integral formulation of quantum statistical mechanics, which has commonly been applied be Monte Carlo methods, is now also implemented by traditional molecular dynamics simulations of the microcanonical ensemble and in the Nosé-Hoover method simulating the isothermal-isobaric ensemble. In this article these two methods are applied to solid and liquid neon, in which quantum effects are not negligible. The validity of the procedure is shown by comparison with Monte Carlo and Brownian Dynamics computer simulations and with experiment. © 1995 by John Wiley & Sons, Inc.
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  • 168
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    Journal of Computational Chemistry 16 (1995), S. 129-129 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 169
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    Journal of Computational Chemistry 16 (1995), S. 723-728 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The problem of representing a diatomic (true) Rydberg-Klein-Rees potential Ut by an analytical function Ua is discussed. The perturbed Morse function is in the form Ua = UM + ∑bnyn, where the Morse potential is UM = Dy2, y = 1 -exp(-;a(r - re)). The problem is reduced to determination of the coefficients bn so Ua(r) = Ut(r). A standard least-squares method is used, where the number N of bn is given and the average discrepancy ΔU = |(Ut - Ua)/Ut| is observed over the useful range of r. N is varied until ΔU is stable. A numerical application to the carbon monoxide X1∑ state is presented and compared to the results of Huffaker1 using the same function with N = 9. The comparison shows that the accuracy obtained by Huffaker is reached in one model with N = 5 only and that the best ΔU is obtained for N = 7 with a gain in accuracy. Computation of the vibrational energy Ev and the rotational constant Bv, for both potentials, shows that the present method gives values of ΔE and ΔB that are smaller than those found by Huffaker. The dissociation energy obtained here is 2.3% from the experimental value, which is an improvement over Huffaker's results. Applications to other molecules and other states show similar results. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 80-90 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The geometric molecular dissimilarity between two molecules is defined as the difference between the volume of their union minus the volume of their intersection. This dissimilarity has the mathematical properties of a distance. This distance is minimized under all rotations and translations using a discrete Broyden, Fletcher, Goldfarb & Shanno (B.F.G.S.) algorithm. The optimal geometric superimposition of saxitoxin and tetrodotoxin is discussed. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 130-130 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
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  • 172
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    Notes: The molecular structures of the H-chromophore of the indigoid dyes and five other isomers are studied by ab initio MP2/6-31 + G*//HF/6-31 + G* method. The bond angles are affected by the π-electron conjugation. The molecular structures of the H-chromophores and indigoid dyes indicate that the benzene rings and the five-membered rings are structurally important. The absorption maxima of the H-chromophores are successfully calculated by CI-singles-MP2/6-31 + G* theory for the first time and correspond to the HOMO, LUMO transition. All these transitions are the π-π* transitions. Like the indigoid dyes, trans isomers have the bathochromic shifts of the absorption maxima, and the bathochromic shifts are found with the best donor group of —NH. From these calculations, the absorption maxima of some indigoid dyes can be explained by their H-chromophores qualitatively. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 984-1010 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio molecular orbital calculations have been carried out on over 50 model organic molecules and ions to provide the data necessary in the determination of torsional parameters for a force field involving polypeptides. The rotational energy profiles were obtained at the HF/6-31G*//HF/6-31G* level. The results were supported, in many cases, by full geometry optimizations and with consideration of correlation corrections at the MP2 level. With the exception of the dihedral angle being studied, all of the molecules were fully optimized with C1 symmetry. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 1038-1044 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A novel method to calculate the derivatives of solvent accessible surface areas is presented. Unlike earlier analytic methods, which require the molecular topology and the use of global Gauss-Bonnet theorem, this method requires only the fractional accessibilities of surface arcs. We developed an efficient numerical algorithm to calculate the surface arcs by creating a uniform set of points on the circles of intersection between surface atoms. A hierarchical point density doubling scheme led to a logarithmic dependence of Central Processing Unit (CPU) time on the number of points used. This algorithm calculated area derivatives for a 1000-atom protein in 1.5 s on an SGI INDIGO2 which were within 2% of the analytic area derivatives calculated with the program ANAREA. This algorithm scales linearly with the number of atoms for large molecules and is easily parallelizable. © 1995 by John Wiley & Sons, Inc.
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  • 175
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    Journal of Computational Chemistry 16 (1995), S. 628-647 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We describe a method for minimizing the lattice energy of molecular crystal structures, using a realistic anisotropic atom-atom model for the intermolecular forces. Molecules are assumed to be rigid, and the structure is described by the center of mass positions and orientational parameters for each molecule in the unit cell, as well as external strain parameters used to optimize the cell geometry. The resulting program uses a distributed multipole description of the electrostatic forces, which consists of sets of atomic multipoles (charge, dipole, quadrupole, etc.) to represent the lone pair, π electron density, and other nonspherical features in the atomic charge distribution. Such ab initio based, electrostatic models are essential for describing the orientation dependence of the intermolecular forces, including hydrogen bonding, between polar molecules. Studies on a range of organic crystals containing hydrogen bonds are used to illustrate the use of this new crystal structure relaxation program, DMAREL, and show that it provides a promising new approach to studying the crystal packing of polar molecules. © 1995 by John Wiley & Sons, Inc.
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  • 176
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    Journal of Computational Chemistry 16 (1995), S. 648-653 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The use of computer simulations in all areas of chemistry is growing rapidly because of the powerful insights that they have provided into many interesting phenomena. As investigators continuously examine more sophisticated problems, they need increasingly more powerful tools. Hence, much effort has gone into the development of algorithms which might extend the scope and power of standard dynamic and Monte Carlo techniques. In the Monte Carlo regime, the most common area subject to improvement is the choice of a trial move. In the ordinary case, trial moves are generated uniformly at random. In the extended and hopefully improved case, trial moves are generated randomly but not uniformly. In this article we present a new and totally general method of biased sampling which is applicable to any flexible molecule. In our method, multiple simulated annealing runs are performed to reveal populated and unpopulated regions of the multidimensional conformation space. The second phase of the simulation is done at a fixed temperature with sampling only from populated regions found in the first phase. Because the simulated annealing runs quickly reveal unpopulated regions of the conformation space, the volume of conformation space that needs to be sampled in the second phase of the algorithm is reduced by many orders of magnitude. Additionally, because no energy minimization is used, these populations represent a canonical ensemble which may be used to estimate conformational free energies. © 1995 by John Wiley & Sons, Inc.
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  • 177
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    Journal of Computational Chemistry 16 (1995), S. 681-689 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A simple yet accurate method for calculating electrostatic potentials using the boundary element continuum dielectric method is presented. It is shown that the limiting factor in accuracy is not the evaluation of integrals involving the interaction between boundary elements but rather a proper estimation of the self-polarization of a patch upon itself. We derive a sum rule that allows us to calculate this important self-polarization term in a self-consistent and simple way. Intricate integration schemes used in previous treatments are consequently rendered unnecessary while concurrently achieving at least comparable accuracy over earlier methods. In some model systems for which analytic solutions are available, the computed surface polarization charge and reaction field energy are correct to better than six significant figures. An application of the method to the calculation of hydration free energies is presented. Good agreement with experimental values is obtained.
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  • 178
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    Journal of Computational Chemistry 16 (1995), S. 715-722 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Algorithms to enhance parallel performance of molecular dynamics simulations on parallel computers by dynamic load balancing are described. Load balancing is achieved by redistribution of work based on either a history of time spent computing per processor or on the number of pair interactions computed per processor. The two algorithms we detail are designed to yield optimal load balancing on both workstation clusters and parallel supercomputers. We illustrate these methods using a small molecular dynamics kernel developed for the simulation of rigid molecular solvents. In addition, we discuss our observation regarding global communications performance on workstation clusters with a fiber distributed data interface (FDDI) using a high-speed point-to-point switch (Gigaswitch) and the k-ary 3-cube of the Cray T3D. © 1995 by John Wiley & Sons, Inc.
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  • 179
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    Journal of Computational Chemistry 16 (1995), S. 758-767 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A general perspective is presented of bimolecular positive ions formed from two rare gases that share a positive charge. These species, which are important in ionospheric processes, arise when neutral van der Waals species are ionized. A general theoretical program based on standard theoretical techniques (e.g., various configuration interaction and Møller-Plesset techniques and quadratic configuration interaction) is outlined, and results for the geometry, stability, and vibrational frequencies for a set of rare gas dimers, AB+, are presented. Specifically, the molecules HeHe+, HeNe+, HeAr+, NeNe+, NeAr+, and ArAr+ are considered; the equilibrium geometry of the ground electronic state is determined at several levels of approximation. Then binding energies are calculated in several ways, and these binding energies are compared to experimental and other sophisticated theoretical results. In general, the agreement with experiment is good, within a few kcal/mol. Harmonic vibrational frequencies at the MP2 level are also computed. © 1995 by John Wiley & Sons, Inc.
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  • 180
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    Journal of Computational Chemistry 16 (1995), S. 1326-1338 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present an analysis of the behavior of different updating Hessian formulas when they are used for the location and optimization of transition structures. The analysis is based on the number of iterations, the minimum of the weighted Euclidean matrix norm, and first-order perturbation theory applied to each type of Hessian correction. Finally, we give a derivation of a family of updated Hessians from the variational method proposed by Greenstadt. We conclude that the proposed family of updated Hessians is useful for the optimization of transition structures. © 1995 John Wiley & Sons, Inc.
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  • 181
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    Journal of Computational Chemistry 16 (1995), S. 1351-1356 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Current macromolecular energy minimization algorithms become inefficient and prone to failure when bond length constraints are imposed. They are required to relieve steric stresses in biomolecules prior to a molecular dynamics simulation. Unfortunately, the latter often require constraints, leading to difficulties in initiating trajectories from unconstrained energy minima. This difficulty was overcome by requiring that the components of the energy gradient vanish along the constrained bonds. The modified energy minimization algorithm converges to a lower energy in a fewer number of iterations and is more robust than current implementations. The method has been successfully applied to the Dickerson DNA dodecamer, CGCGAATTCGCG. © 1995 John Wiley & Sons, Inc.
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  • 182
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    Journal of Computational Chemistry 16 (1995), S. 1378-1393 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Molecular dynamics simulations have been used to investigate the ternary complex formed between chicken liver dihydrofolate reductase, a phenyl triazine inhibitor, and reduced nicotinamide adenine dinucleotide phosphate (NADPH). The solvent was represented by a sphere of water molecules encompassing the system. We report the results of quantum mechanical calculations of the rotational barrier in the pyrophosphate link and the barrier to inversion of the triazine ring. AMBER parameters for NADPH and the triazine are provided. Over the course of a 300-ps molecular dynamics simulation of the ternary complex in water, the triazine inhibitor maintains the same hydrogen bonding and hydrophobic interactions with the enzyme that are observed in the X-ray crystal structure. Despite the low calculated barrier to inversion of the triazine ring, a single puckered conformation is observed throughout the simulation. It is proposed that this is primarily due to interactions with Phe34, which maintains an approximately parallel orientation to the triazine ring. The nicotinamide portion of NADPH maintains the interactions observed in the crystal structure, but more conformational change is observed at the adenine end together with associated changes in the protein. Two conformations for the sidechain of Tyr31 are present in the X-ray structure. The main simulation reported here corresponds to the conformation characterized by (χ1 = - 161°, χ2 = - 103°). A separate simulation was also performed in which the sidechain of Tyr31 was initially set to the other conformation present in the crystal structure (χ1 = 139°, χ2 = -99°). During this simulation, χ1 of this sidechain gradually changed until it occupied the region characterized by χ1 = -160°, thereby suggesting that this is the preferred conformation for this residue. The simulation required 200 ps to reach structural equilibrium (as measured by the root mean square, rms, deviation from the initial crystal structure), thus reinforcing the view that simulations of at least several hundreds of picoseconds are desirable when studying such systems. © 1995 John Wiley & Sons, Inc.
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  • 183
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    Journal of Computational Chemistry 16 (1995), S. 370-377 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present an efficient technique for Monte Carlo simulation of electrostatic free energy changes in biomolecular systems. It is a development of a recent method for the study of the influence of electrostatic interactions on the ion binding properties and redox potentials of biomolecules. The electrolyte solution is described by the primitive model, in which ions are treated as hard charged spheres and the solvent is replaced by a structureless continuum. The protein is kept fixed in the center of a spherical simulation cell, and the dielectric constant has the solvent value throughout the cell. By a multiparticle perturbation approach, it is possible to obtain a number of free energy changes within one simulation only. The usefulness of the method is illustrated with a study of the copper binding electron-transport protein azurin (from Alcaligenes denitrificans). The change in acidity of the histidine residues upon changing the redox state of the copper ion is calculated. The theoretical predictions agree well with available experiments. © 1995 by John Wiley & Sons, Inc.
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  • 184
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    Journal of Computational Chemistry 16 (1995), S. 378-384 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A reaction field theory, combined with the MNDO, AM1, and PM3 molecular orbital methods, was applied to hydration phenomena of metal cationic species. The first hydration shell was treated explicitly by using a supermolecular model, [M(H2O)n]m+, and its surrounding medium was described with a continuum dielectric. Hydration free energies were evaluated as a sum of the contributions from the electrostatic interaction with the bulk medium, the hydrated cluster formation, the cavity formation, and the vaporization of water molecules forming the cluster. As a whole, calculated hydration energies were in good agreement with the corresponding experimental data over various kinds of metal cationic species. © 1995 by John Wiley & Sons, Inc.
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  • 185
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    Journal of Computational Chemistry 16 (1995), S. 414-421 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A fuzzy c-means clustering algorithm is presented which is much faster than the traditional algorithm for data sets in which the number of features is significantly larger than the number of feature vectors. The algorithm is constructed by utilizing the covariance structure of feature vectors and cluster centers. By using results from a previous clustering, modified versions of the new algorithm achieve additional reductions in floating point operations. © 1995 by John Wiley & Sons, Inc.
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  • 186
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    Journal of Computational Chemistry 16 (1995), S. 441-444 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A direct inversion procedure is used to obtain the pair interaction potentials for He and Ne from the extended law of corresponding states over the temperature range from absolute zero to the onset of ionization. We have used the experimentally reduced viscosity collision integrals obtained from the corresponding states correlation and performed an INVERT to determine the reduced potential energy curve corresponding to the collision integral. This directly determined potential is in excellent agreement with the potential independently obtained from molecular beam scattering measurements. © 1995 by John Wiley & Sons, Inc.
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  • 187
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    Journal of Computational Chemistry 16 (1995), S. 478-485 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The three-dimensional structure of the carboxyl-terminal region of the human ras oncogenic protein (called p21) has been determined using the HDMC (High-directional Monte Carlo) method combined with MD (molecular dynamics) simulation. A truncated p21 containing residues 1-171 without the carboxyl-terminal end was analyzed using X-ray crystallography by Kim et al. It has been well documented that the carboxyl-terminal region of p21 is flexible and plays an important role in transmitting a signal from the membrane-attached domain. We have carried out the theoretical calculation for 18 undefined residues, which correspond to residues 172-189 of intact p21, in addition to seven residues (165-171) from X-ray coordinates of the C-terminal end of human C—Ha—ras protein. In this calculation, the main-chain atoms of residues 165-169 have been fitted to X-ray structure, and the remaining region has been allowed to move during the conformational analysis. We have confirmed that revised HDMC can easily alter the local minima of the polypeptide chains as the internal vibrations of molecules are allowed by MD simulation. Throughout this study, we suggest that the C-terminal end of human C—Ha—ras p21 protein has structures in the forms of an α helix for 165-172, a loop for 173-180, and an α helix for 181-187 regions, like the helical hairpin. © 1995 by John Wiley & Sons, Inc.
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  • 188
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    Journal of Computational Chemistry 16 (1995), S. 465-477 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The structures and relative stabilities of a series of disulfide (XSSX) and thiosulfoxide (X2SS) isomers have been studied for X = F, Cl, CH3, and H, using various levels of conventional ab initio and density functional theory (DFT). The XSSX isomers are more stable than the X2SS isomers for all substituents. The energy gap ΔE(X) between the two isomers increases (i.e., XSSX becomes more stable with respect to X2SS), and the S—S bond contracts in the series for X = F, Cl, CH3, H. The results are interpreted by means of natural population analysis (NPA) (e.g., the interaction between the disulfide moiety S2· and the two substituents X·). The bonding in the hypervalent X2SS species is similar to the bonding in the nonhypervalent XSSX and does not involve a special role for sulfur-3d orbitals. These orbitals acquire only minimal populations and are not to be conceived as valence orbitals. The DFT and conventional ab initio results, Xα/DZP and MP2/6-31G** optimized structures and isomerization energies (at the highest levels of both methods), agree well. © 1995 by John Wiley & Sons, Inc.
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  • 189
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    Journal of Computational Chemistry 16 (1995), S. 454-464 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present a computational method for prediction of the conformation of a ligand when bound to a macromolecular receptor. The method is intended for use in systems in which the approximate location of the binding site is known and no large-scale rearrangements of the receptor are expected upon formation of the complex. The ligand is initially placed in the vicinity of the binding site and the atomic motions of the ligand and binding site are explicitly simulated, with solvent represented by an implicit solvation model and using a grid representation for the bulk of the receptor protein. These two approximations make the method computationally efficient and yet maintain accuracy close to that of an all-atom calculation. For the benzamidine/trypsin system, we ran 100 independent simulations, in many of which the ligand settled into the low-energy conformation observed in the crystal structure of the complex. The energy of these conformations was lower than and well-separated from that of others sampled. Extensions of this method are also discussed. © 1995 by John Wiley & Sons, Inc.
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  • 190
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    Journal of Computational Chemistry 16 (1995), S. 501-511 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The thermodynamic, dielectric, and dynamic properties of a newly parameterized flexible water model are studied using molecular dynamics simulations. The potential function developed is based on the popular simple point charge (SPC) rigid model with the addition of appropriate harmonic and anharmonic energy terms for stretching and bending. Care was taken to account for the self-polarization and gas-phase monomer energy corrections during the parameterization, which have typically been ignored in past studies. The results indicate that an increased Lennard-Jones repulsive coefficient and slightly scaled partial charges are required when adding flexibility to the rigid model potential to reliably reproduce the experimental density, energy, and O ⃛ O radial distribution function of water at 298 K and 1 atm. Analysis of the power spectrum derived from the H-velocity autocorrelation function allowed the water potential to be evaluated further and refined by adjusting the valence forces to fit the vibrational frequencies of the gas and liquid. Once a consistent set of parameters was determined, the static dielectric properties of the water model were calculated at two temperatures using the reaction field method to treat long-range forces and correlations. The dielectric constant of 75 ± 7 calculated at 300 K is in good agreement with the experimental value of 78.5. The Kirkwood g factor was also examined for temperature dependence and showed the correct increasing behavior with decreasing T. As a final check of the water potential, the free energies of solvation of a flexible water molecule and neon were predicted using thermodynamic perturbation methods. The calculated solvation energies of -7.0 ± 0.8 for water and 2.7 ± 0.7 for neon are both consistent with the experimental values of -6.3 and 2.7 kcal/mol. Comparisons are made throughout the study with the results of previous rigid and flexible model simulations. © 1995 by John Wiley & Sons, Inc.
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  • 191
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    Journal of Computational Chemistry 16 (1995), S. 1250-1260 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: High-level ab initio calculations have been performed on N-methyl-N-methyleneammonium and related compounds to obtain accurate rotational barriers, structures, and vibrational frequencies. The 6-31G** basis set has been utilized at the Hartree-Fock level of theory for these calculations because little experimental data are available. The MM2(91) and MM3(94) force fields have been parameterized to include these nonconjugated charged nitrogen-containing compounds. Molecular mechanics geometries and vibrational frequencies compare well with the ab initio results. © 1995 John Wiley & Sons, Inc.
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  • 192
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    Journal of Computational Chemistry 16 (1995), S. 1271-1290 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: This article describes an extension to previously developed constraint techniques. These enhanced constraint methods will enable the study of large computational chemistry problems that cannot be easily handled with current constrained molecular dynamics (MD) methods. These methods are based on an O(N) solution to the constrained equations of motion. The benefits of this approach are that (1) the system constraints are solved exactly at each time step, (2) the solution algorithm is noniterative, (3) the algorithm is recursive and scales as O(N), (4) the algorithm is numerically stable, (5) the algorithm is highly amenable to parallel processing, and (6) potentially greater integration step sizes are possible. It is anticipated that application of this methodology will provide a 10- to 100-improvement in the speed of a large molecular trajectory as compared with the time required to run a conventional atomistic unconstrained simulation. It is, therefore, anticipated that this methodology will provide an enabling capacity for pursuing the drug discovery process for large molecular systems. © 1995 John Wiley & Sons, Inc.
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  • 193
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    Journal of Computational Chemistry 16 (1995), S. 1301-1313 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Two algorithms are presented for parallel direct computation of energies with second-order perturbation theory. Closed-shell MP2 theory as well as the open-shell perturbation theories OPT2(2) and ZAPT2 have been implemented. The algorithms are designed for distributed memory parallel computers. The first algorithm exhibits an excellent load balance and scales well when relatively few processors are used, but a large communication overhead reduces the efficiency for larger numbers of processors. The other algorithm employs very little interprocessor communication and scales well for large systems. In both implementations the memory requirement has been reduced by allowing the two-electron integral transformation to be performed in multiple passes and by distributing the (partially) transformed integrals between processors. Results are presented for systems with up to 327 basis functions. © 1995 John Wiley & Sons, Inc.
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  • 194
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    Journal of Computational Chemistry 16 (1995), S. 1339-1350 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The recently formulated weighted histogram analysis method (WHAM)1 is an extension of Ferrenberg and Swendsen's multiple histogram technique for free-energy and potential of mean force calculations. As an illustration of the method, we have calculated the two-dimensional potential of mean force surface of the dihedrals gamma and chi in deoxyadenosine with Monte Carlo simulations using the all-atom and united-atom representation of the AMBER force fields. This also demonstrates one of the major advantages of WHAM over umbrella sampling techniques. The method also provides an analysis of the statistical accuracy of the potential of mean force as well as a guide to the most efficient use of additional simulations to minimize errors. © 1995 John Wiley & Sons, Inc.
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  • 195
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    Journal of Computational Chemistry 16 (1995), S. 1357-1377 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present the derivation of charges of ribo- and deoxynucleosides, nucleotides, and peptide fragments using electrostatic potentials obtained from ab initio calculations with the 6-31G* basis set. For the nucleic acid fragments, we used electrostatic potentials of the four deoxyribonucleosides (A, G, C, T) and four ribonucleosides (A, G, C, U) and dimethylphosphate. The charges for the deoxyribose nucleosides and nucleotides are derived using multiple-molecule fitting and restrained electrostatic potential (RESP) fits,1,2 with Lagrangian multipliers ensuring a net charge of 0 or ± 1. We suggest that the preferred approach for deriving charges for nucleosides and nucleotides involves allowing only C1′ and H1′ of the sugar to vary as the nucleic acid base, with the remainder of sugar and backbone atoms forced to be equivalent. For peptide fragments, we have combined multiple conformation fitting, previously employed by Williams3 and Reynolds et al.,4 with the RESP approach1,2 to derive charges for blocked dipeptides appropriate for each of the 20 naturally occuring amino acids. Based on our results for propyl amine,1,2 we suggest that two conformations for each peptide suffice to give charges that represent well the conformationally dependent electrostatic properties of molecules, provided that these two conformations contain different values of the dihedral angles that terminate in heteroatoms or hydrogens attached to heteroatoms. In these blocked dipeptide models, it is useful to require equivalent N - H and C=O charges for all amino acids with a given net charge (except proline), and this is accomplished in a straightforward fashion with multiple-molecule fitting. Finally, the application of multiple Lagrangian constraints allows for the derivation of monomeric residues with the appropriate net charge from a chemically blocked version of the residue. The multiple Lagrange constraints also enable charges from two or more molecules to be spliced together in a well-defined fashion. Thus, the combined use of multiple molecules, multiple conformations, multiple Lagrangian constraints, and RESP fitting is shown to be a powerful approach to deriving electrostatic charges for biopolymers. © 1995 John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 1420-1427 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We have implemented a portable parallel version of the macromolecular modeling package AMBER4. The message passing paradigm was used. All message passing constructs are compliant with the Message Passing Interface (MPI) standard. The molecular dynamics/minimization module MINMD and the free-energy perturbation module Gibbs have been implemented in parallel on a number of machines, including a Cray T3D, an IBM SP1/SP2, and a collection of networked workstations. In addition, the code has been tested with an MPI implementation from Argonne National Laboratories/Mississippi State University which runs on many parallel machines. The goal of this work is to decrease the amount of time required to perform molecular dynamics simulations. Performance results for a lipid bilayer molecular dynamics simulation on a Cray T3D, an IBM SP1/SP2, and a Cray C90 are compared. © 1995 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 197
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    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1434-1444 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A genetic algorithm is used to minimize the energy of peptide analogues in the dihedral angle space. It is interfaced to MOPAC, which computes the energy employing the AM1 Hamiltonian. The genetic algorithm identified the global energy minimum of glycine dipeptide analogue, alanine dipeptide analogue, diglycine, and dialanine. It identified three low-energy conformations of tetraalanine, including the reported global minimum, all of which contained three hydrogen bonds. A structure with a lower energy than the reported global minimum has been generated in which one hydrogen bond is replaced by another one. © 1995 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 198
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Special-purpose parallel machines that are plugged into a workstation to accelerate molecular dynamics (MD) simulations are attracting a considerable amount of interest. These machines comprise scalable homogeneous multiprocessors for calculating nonbonded forces (Coulombic and van der Waals forces), which consume more than 99% of the central processing unit (CPU) time in standard MD simulations. Each processor element in the machine has a pipeline architecture to calculate the total nonbonded force exerted on a particle by all of the other particles using information regarding the coordinates, the electric charge, and the species of each particle broadcast by the host computer. The processor then sends the calculated force back to the host computer. This article addresses the precision of the calculated nonbonded forces in the design of a processor LSI with minimal complexity. The precision of the arithmetic inside the processor that is required to calculate forces for MD simulations using Verlet's procedure was critically evaluated. Forward and backward error analysis, coupled with numerical MD experiments on one-dimensional systems, was performed, and the following results were obtained: (1) Each element of the position vector which the processor receives from the host computer should have a precision of at least 25 bits; and (2) the pairwise forces should be calculated using floating point numbers with at least 29 bits of mantissa in the processor. Calculation of a pairwise force, which involves second-order polynomial interpolation using a table-driven algorithm, requires a key which contains a duplicate of at least 11 most significant bits of mantissa of the squared pairwise distance. The final result was that (3) the total force that acts on a particle, which is obtained by summing the forces exerted by all of the other particles, should be calculated using an accumulator that has a mantissa of at least 48 bits. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 199
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    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1315-1325 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Density functional theory (DFT) methods, including nonlocal density gradient terms in the exchange and correlation energy functionals, were applied to various types of molecular clusters: H-bonded, ionic, electrostatic, and London. Reliable results on the structure and stabilization energy were obtained for the first two types of cluster as long as Becke3LYP and Becke3P86 functionals and basis sets of at least DZ + P quality were used. DFT methods with currently available functionals failed completely, however, for London-type clusters, for which no minimum was found on the potential energy surfaces. DFT interaction energy exhibits the same basis set extension dependence as the Hartree-Fock (HF) interaction energy. Therefore, the Boys-Bernardi function counterpoise procedure should be employed for elimination of the DFT basis set superposition error. © 1995 John Wiley & Sons, Inc.
    Additional Material: 2 Ill.
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  • 200
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    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1445-1446 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Type of Medium: Electronic Resource
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