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  • Electronic Resource  (394)
  • 1990-1994  (394)
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  • 1991  (394)
  • Computational Chemistry and Molecular Modeling  (394)
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  • Electronic Resource  (394)
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  • 1990-1994  (394)
  • 1890-1899
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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 755-766 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We calculate a range of isotropic and anisotropic spectral moments of the dipole oscillator strength distribution for N2 in the random phase approximation. The internuclear dependence of, in particular, S∥(k) is nonnegligible and vibrationally averaged moments are reported. The results are compared to other calculations and to experiment when available, and we conclude that the scheme gives reliable results. Based on our results, we predict a 10% anisotropy in the stopping power of oriented N2 molecules.
    Additional Material: 6 Tab.
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  • 2
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The three azaborine isomers with the formula C4H6BN, 1,2-, 1,4-, and 1,3-azaborine (I, II, and III), have been examined using MNDO (modified neglect of diatomic overlap) calculations. The most stable azaborine was I (heat of formation -8.147 kcal/mol), followed by II (+11.60 kcal/mol) and III (+16.64 kcal/mol). Qualitatively, although the π- and π*-orbitals calculated for the azaborines exhibited an ordering similar to that in benzene and borazine, the HOMO/LUMO energy differences (9.27, 9.68, and 8.44 eV, respectively) were smaller than was the difference calculated for borazine (12.81 eV), but of the same magnitude as the difference for benzene (9.76 eV). With the exception of borazine, each molecule had a π-orbital for the HOMO and a π*-orbital for the LUMO; borazine's LUMO was a π*-orbital. The calculated shapes and atomic contributions for the π-and π*-orbitals of the azaborines were best described as “hybrids” of the π- and π*-orbitals of benzene and borazine. As was observed for the π- and π*-orbitals of borazine, the azaborines exhibited increased orbital density at the nitrogen atom in the π-bonding orbitals and at boron in the π-antibonding orbitals, as would be predicted from electronegativity considerations. Although I and II exhibited significant double- and single-bond localization, all of the ring bonds in III were delocalized. The delocalization in III was not uniform but, rather, resembled two inequivalent fused allyl systems. The cyclotrimer (IV) of 1,2-azaborine (heat of formation -44.07 kcal/mol), based purely on thermodynamic considerations, was predicted to form spontaneously from three monomer molecules with the concurrent loss of three molecules of dihydrogen. The cyclotrimers that could theoretically be produced from 1,2-azaborine without the loss of dihydrogen (IVc and IVt) were each calculated to be less stable (heats of formation +24.45, and +33.29 kcal/mol, respectively) than was the experimentally observed IV. The carbon molecules triphenylene (TP) and cis- and trans-4a,4b,8a,8b,12a,12b- hexahydrotriphenylene (TPc and TPt) (heats of formation +76.79, +101.6, and +103.1 kcal/mol, respectively) were each calculated to be less stable than were the azaborine cyclotrimer analogs, as was observed in comparisons of benzene with the azaborines and borazine.
    Additional Material: 3 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 409-414 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In a recent work, Csvinszky formulated a variational density-functional approach for the investigation of the spatial generalization of Kato's theorem by March. In the previous work, a 10-electron model system (filled K and L shells) was considered. In the present work, the investigation is extended to two other cases: a 28-electron model system (filled K, L, and M shells) and a 60-electron model system (filled K, L, M, and N shells). As in the previous work, several expressions are adapted for the kinetic-energy functional of the electrons and the intriguing question of identifying the “best” kinetic-energy functional is raised and discussed.
    Additional Material: 2 Tab.
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 421-428 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A new type of correlation functional derived from the second-order expression for the correlation energy of an atom is proposed. The derived correlation potential contains one free parameter, which is determined by fitting the known pair correlation energy. The calculations with this potential in the Kohn-Sham approximation give rather accurate values for the matrix elements of different operators.
    Additional Material: 3 Tab.
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 457-473 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is shown that the Heisenberg Lie algebra of the nondegenerate harmonic oscillator leads to a basis {J+, J0, J-} of LASU(2). The Hamiltonian of the system is proportional to J0, and the basis elements give rise to irreducible tensors in the associative enveloping algebra of the Heisenberg Lie algebra. The construction of these irreducible tensors is studied with special attention being paid to the case in which they act upon a single vector space spanned by the harmonic oscillator basis functions. A tensor coupling rule is developed, and useful application is made of it in the calculation of general expressions for vibrational operators and their matrix elements. Throughout, the value of the additional algebraic quantum numbers (l, m) is emphasized.
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 501-510 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In excited states of atoms and molecules, as well as in time-dependent situations, the one-electron density no longer suffices to completely characterize the electronic state; in addition, one now requires information about the electronic phase or the current density. We show that, for a stationary electronic state, the continuity equation of quantum fluid dynamics represents a differential equation for the electronic phase, which must be solved subject to certain periodicity conditions. These periodicity conditions arise from the nodal topology of the wave function and give rise to quantized vortices of current. The consequences of writing an electronic “wave function” for a many-electron system directly in terms of the single-particle density and phase have been investigated. We have shown that such a procedure leads to the appearance of an “internal magnetic vector potential.” We also establish the connection between the electronic phase and the geometrical (“Berry”) phase accompanying the adiabatic transport of a quantal system around a closed loop in parameter space. This leads to a generalization of the current density concept and allows us to discuss the geometrical phase in terms of the circulation of this current in parameter space.
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  • 7
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Environmental effects on the electronic structure of molecules caused by external perturbations are studied by means of an expansion of molecular orbital wave functions into valence-bond (VB) wave functions. Applications are carried out to the π system of butadiene, hydroxyethylene, acrolein, and carbonyl oxide and also to the full electronic system of water. The external perturbations considered are uniform electric fields, nonuniform electric fields, and reaction fields created by solvents. A different behavior is found between nonpolar and polar species in the presence of solvents. Some consequences on the behavior of molecules under the influence of the different electric fields are discussed.
    Additional Material: 3 Ill.
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 527-544 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The Hartree-Fock problem in two dimensions (2D) has been solved for 1 ≤ Z ≤ 24 using a Gaussian basis and assuming r-1 Coulomb interactions. The order of occupation of the one-electron states is \documentclass{article}\pagestyle{empty}\begin{document}$$ 1s\, \ll \,2s\, 〈 2p\, 〈 3s\, 〈 3p 〈 4s\mathop 〈 \limits^ \approx \,3d 〈 4p $$\end{document} like in the 3D case. The 1s shell is found to be particularly small and strongly bound, making the 2D hydrogen a “superhalogen” and the 2D He a “superinert gas.” In contrast to 3D, 4s13d2 and 4s23d3 configurations are preferred for the 2D “Sc” and “Cu,” respectively. The six first 2D atoms have stronger and the later ones weaker valence-bonding energies than do their 3D analogs. It is noted that the 2D Dirac energy expression for a hydrogenlike atom for mj = l + 1/2 agrees with the 3D Klein-Gordon one.
    Additional Material: 5 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 559-576 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electronic structure of a 2D polyglycine network with a pleated sheet structure has been computed at the Hartree-Fock level and by including electron correlation effects within the second order of many-body perturbation theory (electron polaron model). The influence of the size of the atomic basis set and of the extension of the virtual space has been investigated both for single- and many-particle properties. Comparison with the energy of the corresponding single chains showed that interchain interactions (mainly hydrogen bonding) provide an extra stabilization for the 2D network by 7.4 and 10 kcal/mole per glycine residue at the Hartree-Fock and correlated levels, respectively. The energy dispersions are rather anisotropic for all bands whose widths are about 0.5-1 eV along the polypeptide backbones and 0.1-0.2 eV in the perpendicular direction (hydrogen bonds). The HF value of the fundamental energy gap is reduced by 4 eV to 9.2 eV for electron polarons. The wave functions and interaction integrals obtained can be used to calculate further optical and lattice vibrational properties.
    Additional Material: 4 Ill.
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 623-642 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The application of contact transformation theory to the perturbed harmonic oscillator is reexamined in the light of the harmonic oscillator tensors previously presented. It is found that the recasting of the formalism of this problem in terms of harmonic oscillator tensors results in great simplifications, most of which stem from the introduction of the additional algebraic quantum numbers (l, m). The order of magnitude of each fragment of the Hamiltonian is easily recognizable, and the diagonal and nondiagonal parts contained therein are readily identifiable. The determination of the contact transformation operator is reduced to a simple formula. First, an analysis is made for a single mode of vibration, and it is subsequently extended to a multimode case. The perturbed diatomic vibrator is presented as an example.
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  • 11
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 695-702 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The nonlinear Thomas-Fermi-Dirac equation is solved variationally for positive and negative point charges in various III-V compound semiconductors. The parameters are presented, and the results are compared with those obtained numerically.
    Additional Material: 4 Ill.
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  • 12
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991) 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 13
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 745-752 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We present an efficient scheme to evaluate the [0](m) integrals that arise in many ab initio quantum chemical two-electron integral algorithms. The total number of floating-point operations (FLOPS) required by the scheme has been carefully minimized, both for cases where multipole expansions of the integrals are admissable and for cases where this is not so. The algorithm is based on the use of a modified Chebyshev interpolation formula to compute the function exp(-T) and the integral Fm(T) = ∫01u2mexp(-Tu2) du very cheaply.
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  • 14
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 781-787 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A contracted [9s6p2d] basis set derived from Dunning's (14s11p5d) primitive Gaussian set for bromine has been used in ab initio molecular orbital calculations of the dissociation energies of HBr, CH3Br, and Br2, the ionization potentials of Br and HBr, and the electron affinity of Br. The calculated energies are within 0.1 eV of the experimental values. This is similar to the accuracy obtained in a previous study, also using a contracted [9s6p2d] basis set, of the dissociation and ionization energies of the GeHn, AsHn, and SeHn hydrides.
    Additional Material: 3 Tab.
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  • 15
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 847-863 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A distributed-memory model is adopted for the development of parallel ab initio codes with an emphasis on portability as well as efficiency. A highly portable message-passing toolkit (inspired by the Argonne ACRF PARMACS) is described. Examples and results of its use are presented.
    Additional Material: 3 Ill.
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  • 16
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. vii 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 17
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 1-8 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 18
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 49-59 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The effects of the solvent on the stability of the zwitterion in the active site of papain is investigated with numerical methods. The solvent is represented by a homogeneous dielectric continuum surrounding a cavity, defined by a fragment of the protein enclosed by a surface obtained following Connolly's method. The discretisized boundary surface is used to solve the Poisson equation in its integral form by means of a numerical approximation based on the boundary element method (BEM), resulting in a set of surface polarization charges. The solvent effect on the proton transfer in papain is studied on the basis of MO-SCF-direct reaction field (DRF) calculations of the energy and charge distribution of the fragment in the field of the surface charges. The role of Asp-158 in the proton transfer in the active site of papain is reevaluated in the presence of the solvent. It is concluded that the effect of the negative charge of Asp-158 is nearly completely screened by the solvent.
    Additional Material: 5 Ill.
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  • 19
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 99-118 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electronic factor for electron transfer (Δ) is calculated in proteins and in model systems using the CNDO/S and ab initio methods. The decrease of |Δ| with distance for oligoglycins in different conformations is compared to the decrease in other oligomers. The rate of an intramolecular ET reaction in azurin from a disulphide bridge to Cu(II) is calculated with satisfactory agreement with the experiments. For a pathway with three aromatic side groups we obtain a slightly larger electronic factor than one without such groups but the latter do not seem to be essential for the ET process in this case. The primary electron transfer step in the bacterial photosynthetic center of Rhodopseudomonas viridis is studied. The calculated |Δ| for a direct electron transfer process P*BChlLBPhL—P+BChlLBPhL- is very small and inconsistent with the high rate measured. The accessory chlorophyll, being almost perpendicular to the special pair and pheophytin chromophores, does not seem to have good bridging properties and a much larger coupling is provided by the Tyr M208 phenol side group. However, this coupling is also too small to explain the rapid primary charge separation. We believe that the energy splitting between the charge separated singlet and triplet states caused by this coupling is essential to prevent wasteful triplet formation.
    Additional Material: 6 Ill.
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  • 20
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 151-164 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A one-dimensional model for the agonist action of phenoxypropanolamine agents on the β1-adrenoceptor can be based on two electronegative receptor sites positioned from known ligand-receptor interactions. One of these sites interacting with the protonated amine moiety of the ligand and associated with the initiation of stimulus action was shown to be consistent with the presence of an anion in a related article. Contraction of the relevant unbound phenoxypropanolamine conformer is required to enhance the charge-charge interaction. The free energy of contraction of the phenoxypropanolamine conformer with consequent movement of the side chain polar moieties to a position more coincident with that of an ethanolamine has been estimated in two parts using minimal basis STO-3G calculations. The unprotonated species was considered adequate for estimating the intrinsic changes in the backbone compression. Movement of the aromatic ring in the one-dimensional axis due to in-plane meta and para hydrogen atom distortion was earlier shown to be consistent with a displacement of 0.1 Å with an enthalpy requirement of 2.2 kcal. For the aliphatic side chain, an STO-3G enthalpy estimate of 4.6 kcal was required for a movement of 1.0 Å in the position of the protonated amine moiety towards the aromatic ring. Changes in vibrational contributions due to the contraction were small, the entropic contribution being 0.15 kcal, giving a free energy of distortion in the aliphatic side chain of 4.7 kcal. The net movement of the protonated amine and its attendant β-hydroxyl is thus some 1.1 Å in the onedimensional axis for an estimated expenditure of 6.8 kcal enthalpy. Since there is an estimated 6-7 kcal enthalpic advantage shown by the side chain's polar interaction in agonist as opposed to antagonist action, this degree of distortion is consistent with the production of a partial agonist. In the dominant axis of the compression model, the phenoxypropanolamine phenyl ring lies some 0.5-0.7 Å below that of the nonarenaline conformer. The net lowering of the amine moiety in this axis would therefore be 1.6-1.8 Å, but for its raising by 1.9 Å due to the presence of the —OCH2 moiety. The estimate for the distortion for each of the receptor polar sites for agonist interaction would be less than 0.15 Å. In addition, there may be a further 1-2 kcal of free energy still available for further ligand distortion due to the potential amplification of the stimulus signal. The energetics of the model are therefore of the right order in estimating the position of polar receptor sites with good accuracy.
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  • 21
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. 213-229 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We have performed all-atom constant temperature (T = 285 K) molecular dynamics (MD) simulations on d(GA4T4C)2 and d(GT4A4C)2 for 200 ps using the NMR-derived structures as the starting points. The major purpose of MD simulation is to search the conformational space so that we can construct an ensemble of conformations that will reproduce the experimentally observed 2D NMR NOESY spectra. Analyses of the ensemble of duplex structures reveal that in both oligomers constituent nucleotides predominantly display BI conformations. A simple two-parameter analysis shows that the nature of the long-range collective bending motion is different in the two duplexes. The conformations obtained by use of molecular dynamics are very similar to each other for the same molecule, the root mean square deviation (RMSD) being 1.6 Å for d(GA4T4C)2 and 1.1 Å for d(GT4A4C)2. We have computed theoretical 2D NOESY spectra for an ensemble of a large library of 1200 structures in the MD trajectory for d(GA4T4C)2. Theoretical MD-derived 2D NOESY spectra, averaged through an automated loop computation procedure over the 1200 timewise additivity NOESY simulation spectra, are compared with the corresponding experimental spectra. The agreement between the theoretical and experimental NOESY spectra is good. The results suggest that there is no longer any need to interpret NMR data on the basis of a “nonexistent” time-average structure and that worthwhile information about the realistic composition of the ensemble of conformations that are present in solution can be obtained by interconnecting MD simulations and NMR data.
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  • 22
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An empirical approach for the computation of log P for flexible molecules has been developed. This approach is based upon the use of fragmental parameters for obtaining the free energy of solvation of a given molecular conformation in both water and octan-1-ol. Two parametrization methods have been investigated, and the quality of the fragment parameters obtained assessed by computation of log P values for a number of compounds which can only adopt a single conformation. Comparison of these calculated log P values with experimental measurements revealed that simple empirical models which assume a linear relationship of transfer free energy and fragment solvent accessible area do not adequately represent the interaction of polar fragments with water molecules. In the second parametrization method, therefore, a novel step function was introduced, based upon physical models of the specific hydration of polar fragments able to participate in hydrogen bonding, by water molecules. Fragment parameters derived by the second approach gave excellent agreement between calculated and experimental log P values for rigid molecules containing several classes of functional group.
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  • 23
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 40 (1991), S. ix 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 24
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 3-10 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 25
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 47-57 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A set of electron impact cross sections for vibrational excitation of water in the gaseous phase are first presented. The associated loss function is used in conjunction with a rotational loss function to generate efficiencies for the conversion of low-energy electron energy to rotational and vibrational excitation. An analogous calculation is carried out for intramolecular and intermolecular modes in the liquid phase leading to similar results. We also examine a simple model for the time dependence of the electron hydration process based on a square well with a time-dependent radius and well depth. We can fit the time and wavelength dependence of the experimental absorption coefficients if we introduce another time-dependent parameter that might be encompassed by a diffuse potential well model.
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  • 26
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 115-121 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A non-local core pseudopotential has been used in the framework of floating spherical Gaussian orbital (FSGO) model to study the equilibrium geometries and valence electronic structures of some organolithium and organoberyllium systems. The calculated equilibrium geometries, heats of hydrogenation, average electric polarizabilities, and magnetic susceptibilities are in good agreement with the results of the all-electron FSGO model calculations. Valence electron wave functions obtained here have been used to predict the valence electron Compton profiles (CP) and electron momentum distributions (EMD) of the systems studied. A good correlation has been shown among the peak height of the CP (J(0)), valence electron energy (Ev), and number of valence electrons (Nv).
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  • 27
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991) 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 28
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 149-157 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Ab initio Hartree-Fock band structure and molecular calculations have been performed to study the electronic structure of LiN3 in a monoclinic C 2/m crystal structure. The total energy, band structure, density of states, and charge densities are computed. The calculated lattice energy (energy to separate the ions infinitely apart) of 8.6 eV agrees very well with 8.45 eV deduced from Madelung and London polarizability energies. The calculated split of the N 1s core bands of 5.0 eV compares favorably with the experimental X-ray photoelectron value of 4.4 eV. This good agreement is not contributed to crystalline environment effects as proposed in earlier MO studies of N3- where the best values obtained were 5.1, 5.8, and 6.3 eV, but to the quality of the nitrogen core basis set. The calculated valence density of states supports one of two competing interpretations that peak III observed in the X-ray photoelectron spectrum arises from contaminations or other extrinsic states.
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  • 29
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    International Journal of Quantum Chemistry 39 (1991), S. 197-209 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The correct description of energetic separations between atomic states arising from s2dn, s1dn+1, and dn+2 electronic configurations is known to be essential to treat transition metals. Effective core potentials calculations for first-row transition elements with an Ar core show important errors in these energies when compared with all-electron values. A procedure to eliminate errors while maintaining the formalism unaltered and retaining the ar core is proposed.
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  • 30
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    International Journal of Quantum Chemistry 39 (1991), S. 235-250 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 31
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    International Journal of Quantum Chemistry 39 (1991), S. 399-409 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The effects of perturber gases, partial pressures in the range 0-50 atm, on the absorption spectra of high-n Rydbergs, n ≥ 10, in methyl iodide and benzene have been investigated. The perturbers were rare gases and H2. It has been shown that the spectroscopic energy shift Δ = Δ(ρ, n) is given by Δ = Δ°ρ, where ρ is the number density of the perturber, for n ≥ 10. The shift data can be interpreted using a Fermi model, and values of scattering lengths for perturbers can be extracted. These scattering lengths are internally consistent, independent of the absorber, and in excellent agreement with electron-swarm results. Given that the Fermi model is nonspecific and microscopic, scattering shifts and lengths for mixtures of perturber gases can be predicted. These predictions, having been verified by experiment for He/Ar mixtures, provide a means of “tailoring” any required scattering length. Finally, it is shown empirically that the determinative scattering parameter is the polarizability of the perturber, and a universal relationship a = -0.26α + 1.18 between scattering length a, in Bohr radii, and polarizability α is found to exist.
    Additional Material: 9 Ill.
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  • 32
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    International Journal of Quantum Chemistry 39 (1991), S. 449-454 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The intermolecular modes of the bifurcated water dimer are determined at the HF level using an extended basis set. In these computations, the donor libration frequency is found to be real and the bifurcated structure does not collapse toward the linear dimer. This result is contrary to all previous ab initio computations, which have predicted a Hessian with one negative eigenvalue. A good representation of other intermolecular modes, such as the libration of the acceptor, also requires an extended basis set. An interesting infrared active transition is predicted around 444 cm-1. This transition, which corresponds to the donor wag, is found in the low-temperature spectrum of water in a N2 matrix.
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  • 33
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    International Journal of Quantum Chemistry 39 (1991) 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 34
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    International Journal of Quantum Chemistry 39 (1991), S. 561-583 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Perturbation theory for the rate constant of nonadiabatic solvation is presented. Miller's treatment of the RRKM theory is used for the unperturbed rate constant, and thereby the “string model” of chemical reaction is used for the description of the perturbation of solvation. The reaction path under the influence of the external force field is defined as the intrinsic reaction coordinate (IRC) that is treated as a string. The string is thrown in the external static force field that acts as a nonadiabatic source of perturbation. As an application of the present treatment, the effect of the external point charge for hydration reaction of CO2 is calculated as a preliminary model for catalytic activity of the carbonic anhydrase in the tissues and lung capillary vessels.
    Additional Material: 15 Ill.
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  • 35
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    International Journal of Quantum Chemistry 39 (1991), S. 615-623 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The square root of the electron density satisfies a Schrödinger equation having a correction term, called the Pauli potential, in addition to the Kohn-Sham potential. The Pauli potential is given in exact form for the ground state of two- and three-level atoms and ions (e.g., Be and C). Expressions for the kinetic energy and the one-body virial are also derived.
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  • 36
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    International Journal of Quantum Chemistry 39 (1991), S. 649-656 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A modification of virtual orbitals seems to be an inexpensive way of calculating a large part of the correlation energy. Three types of MVOS have been compared in this paper, on the basis of limited valence-shell CI calculations for some lower states of the H2O molecule: A  -  orthogonalized eigenfunctions of exchange operators; B  -  eigenfunctions of one combined exchange operator; C  -  eigenfunctions of the Fock operator for a highly ionized system. For small virtual spaces (20% of available orbitals used), approach C gives 70% of EcorrCI-SD, being superior to the two other approaches. When using only 50% of MVOS, all the three types of approaches result in calculating 90% of EcorrCI-SD, but the ionic orbitals give a better description of the state separations.
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  • 37
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    International Journal of Quantum Chemistry 39 (1991), S. 699-708 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: SC-MEH-MO calculations have been carried out on select clusters of the YBa2Cu3O7 lattice structure. The results of an earlier computation on small CuO clusters are presented for comparison with the finding obtained on a YBa2Cu8O26+ extended cluster. In the latter, the antiferromagnetic coupling of singularly occupied Cu and O levels is analyzed.
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  • 38
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    International Journal of Quantum Chemistry 39 (1991) 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 39
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    International Journal of Quantum Chemistry 39 (1991), S. 805-812 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We have adopted the uniformly charged sphere model of atomic nucleus for one-electron atoms H, Ar17+, Xe53+, Hg79+, and U91+ and calculated several energy levels by solving the matching equations of the inward and the outward radial wave functions for the Schrödinger as well as for the Dirac equations. The finite-size effect (FSE) of the atomic nucleus on the energy levels of nonrelativistic atoms has been found one order of magnitude smaller than the effect on the relativistic atoms. The FSE works mainly on s states for nonrelativistic atoms, whereas for relativistic atoms, it works on s and p1/2 states. The energy levels of p states have been calculated lower than the energies of the corresponding s states when we have included the FSE.
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  • 40
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    International Journal of Quantum Chemistry 40 (1991) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 41
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    International Journal of Quantum Chemistry 40 (1991), S. 3-9 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A counterexample to the adiabatic approximation theorem is given when degeneracies are present. A formulation of an alternative version is proposed. A complete asymptotic decomposition for n dimensional self-adjoint Hamiltonian systems is restated and used.
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  • 42
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    International Journal of Quantum Chemistry 40 (1991), S. 55-66 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A theoretical one-body model of librational motion in liquid water and ice Ih is proposed within the quantum mechanical treatment of a rigid and pointlike dipole in a permanent electric field and the concept of the internal electric field justified for V-structure of liquid water.
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  • 43
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    International Journal of Quantum Chemistry 40 (1991), S. 127-137 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Ab initio MO calculations have been carried out for the unimolecular decomposition of formamidine. The Hartree-Fock method in LCAO approximation with the 4-31G basis set was used. The 4-31G potential hypersurface has been further studied. The stationary points (R, TS, and P) were localized. A reaction analysis by correlation of bond-order indices and localized molecular orbitals demonstrated that the decomposition is an asynchronous process. The TS can be described as four-membered ring.
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  • 44
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    International Journal of Quantum Chemistry 40 (1991), S. 179-199 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: This is the first of a series of papers on the ab initio calculation of the second, third, and fourth derivatives of the energy with respect to nuclear coordinates. The knowledge of these derivatives yields anharmonic spectroscopic constants. Here, we present efficient formulae for the analytic evaluation of these derivatives for closed-shell SCF wave functions. We discuss our implementation of the third derivative formula, in particular the integral and vectorization procedures. Applications are reported for H2S, CHOF, and HCCF.
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  • 45
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    International Journal of Quantum Chemistry 40 (1991) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 46
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    International Journal of Quantum Chemistry 40 (1991), S. 305-314 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We studied the midgap levels appearing in the photoexcited conductive polymers such as trans- and cis-polyacetylenes, poly(p-phenylene), polypyrrole, and polyacene based on the molecular orbital analysis. The midgap levels are constructed from the transformation of the highest occupied molecular orbital and the lowest unoccupied molecular orbital of the ground state. As the result of the localization of the wave functions associated with these midgap levels, large polarization is induced between adjacent carbon atoms. Based on the examination of the energy gap between the two midgap levels, the polymers with a nondegenerate ground state such as cis-polyacetylene, poly(p-phenylene), and polypyrrole would show no sizable photoconductivities.
    Additional Material: 8 Ill.
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  • 47
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    International Journal of Quantum Chemistry 40 (1991), S. 379-388 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We have recently proven an inequality for the exact noninteracting kinetic energy density functional \documentclass{article}\pagestyle{empty}\begin{document}$ T_s [n]:\mathop {\lim }\limits_{x \to \infty } T_s [n_\lambda ^x] \le T_s [n_s^y [n] + T_S^2 [n] 〈 \infty,where{\rm }n_\lambda ^x (x,{\rm }y,{\rm }z) = \lambda n(\lambda x,{\rm }\lambda {\rm y, }\lambda z) $\end{document}. It is known that the gradient expansion through fourth order, TsGE[n], violates this inequality. Toward improving TsGE[n], we have constructed two new functionals, Ts1[n] and Ts2[n], by keeping the zeroth and second orders in TsGE[n] and replacing the fourth order with two simple terms, respectively, so that these new functionals satisfy the inequality. Numerical tests are presented for Ts1[n], Ts2[n], and TsGE[n] and for the gradient expansion through second order. Hartree-Fock and hydrogenic atomic densities are employed.
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  • 48
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    International Journal of Quantum Chemistry 40 (1991), S. 429-432 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 49
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    International Journal of Quantum Chemistry 40 (1991) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 50
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    International Journal of Quantum Chemistry 40 (1991), S. 491-500 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Two possible reaction paths for the pyrolysis of the ethylester of glyoxylic acid have been studied by ab initio molecular orbital calculations. The basis sets 3-21G and 6-31G* have been used, and electron correlation has been included by Møller-Plesset calculations up to fourth order. Our calculations indicate that the reaction leading to acid and ethylene through a 6-membered ring transition state is favored relative to a process involving a formyl hydrogen transfer via a 5-membered ring to the alkyl unit leading to ethane, CO, and CO2. The predicted activation energies for these two reactions obtained at the highest level of calculation, MP4(SDTQ)/6-31G*, are 50.4 and 71.7 kcal/mol, respectively. The transition states have RHF wave functions that are stable relative to UHF solutions using the 3-21G basis. The geometry of the transition states and IRC following indicate that both reactions are strongly asynchronous: The C—O bond rupture is virtually completed before hydrogen transfer occurs. For comparative purposes, analogous calculations have been performed for the ethylester of formic acid, where it is confirmed that a 6-membered ring transition state is preferred relative to a 4-membered one by around 42 kcal/mol at the highest level of calculation.
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  • 51
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    International Journal of Quantum Chemistry 40 (1991), S. 545-558 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A time-dependent molecular orbital method has been developed to study charge transfer in collisions of ions with metal surfaces at energies between 1 and 100 au. A set of localized basis functions consisting of generalized Wannier functions for the surface and s- and p-atomic functions for the ion, is used to separate the system into primary and secondary regions. An effective Hamiltonian and time-dependent equations for the electron density matrix are obtained in the primary region, where most charge transfer occurs. The equations for the electron density matrix are solved with a linearization scheme. The method is suitable to study atomic orbital orientation for collisions of ions and surfaces. A model calculation for Na+ + W(110) collisions with a prescribed trajectory is presented. The interaction potentials between the W(110) surface and Na+ 3s and 3p orbitals are calculated from Na+ pseudopotentials. Results show that the yield of neutralized atoms in 3p states changes as the collision energy is lowered.
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  • 52
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    International Journal of Quantum Chemistry 40 (1991), S. 605-609 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is shown that the dispute about the conditions for physical admissibility of Schrödinger wave functions may be settled if the following two questions are clarified: (a) Are these condittions rooted in the foundations of quantum mechanics or invoked only for particular physical models? (b) Do we consider either the position-space wave function or the momentum-space wave function? Both the case of closed states and scattering states are considered. Some general remarks about these conditions are made in the Conclusion.
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  • 53
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    International Journal of Quantum Chemistry 40 (1991), S. 643-648 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Parts of the potential energy surface of the title process and related processes have been investigated at the SCF/6-31G**, SCF/6-31++G**, and MP2/6-31++G** levels. The investigated reaction is exothermic (-6.23 kcal/mol, MP4/6-31++G**//MP2/6-31++G** level, ZPE included): A linear intermediate radical anion, Li—H—Li—H⋅-, is significantly stabilized with respect to LiH + LiH⋅- (-38.74 kcal/mol, the same level as above). The BSSE at MP2/6-31++G**//MP2/6-31++G** amounts to 1.8 kcal/mol. The title process seems to be suitable for experimental study in molecular beams.
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  • 54
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is demonstrated, from general physical principles, that a new kind of quantum correlations, associated with the appropriate reduced density matrix, Γ, exist in amorphous condensed matter. The treatment starts from general representation properties of the second-order reduced density matrix. The derivations, using general statistical notions in a quantum mechanical framework, lead to a decomposition of the two-matrix into the large-, the small-, and the unpaired components. Since this result can be identified with the extreme case of Coleman, the formulation is automatically ensemble-representable. Introducing the complex scaling method (CSM) into the Bloch-Liouville equation for Γ it is shown how the temperature T in the aforementioned ensemble can be specified. This defines, in the present development, thermalization in a system far from equilibrium. It is further shown that this thermalization leads to the formation of certain irreducible (Jordan) blocks containing some (incomplete) phase information. The connection between these irreducible blocks and the concept of a coherent-dissipative structure is made. The treatment reveals general features of the coherent-dissipative structure and a certain universality of the coherence-breaking mechanism. The main equations relate the relaxation time Trcl and the temperature T with the minimum degrees of freedom Smin and the associated spatial domain dmin of the structure. Relevant examples are, e.g., proton transfer and H+ conductivity in water, conductivity of molten alkali chlorides, quantum correlation effects in high-Tc superconductors, and spin dynamics of Gd far above the Curie point.
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  • 55
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    International Journal of Quantum Chemistry 40 (1991), S. 721-722 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 56
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    International Journal of Quantum Chemistry 40 (1991), S. 753-772 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A new approach to the evaluation of two-electron repulsion integrals over contracted Gaussian basis functions is developed. The new scheme encompasses 20 distinct, but interrelated, paths from simple shell-quartet parameters to the target integrals, and, for any given integral class, the path requiring the fewest floating-point operations (FLOPS) is that used. Both theoretical (FLOP counting) and practical (CPU timing) measures indicate that the method represents a substantial improvement over the HGP algorithm.
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  • 57
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    International Journal of Quantum Chemistry 40 (1991), S. 789-796 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Balanced atomic basis sets, at the double-zeta level with d functions, have been developed for the elements Li—Ar within the relativistic effective core potential procedure. The number of primitive functions, their orbital exponents, and the number of contractions were chosen for use in both Hartree-Fock and correlated calculations. Spin-orbit splittings have been obtained using the approximate operator corresponding to relativistic effective potentials and are compared with experimental values.
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  • 58
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    International Journal of Quantum Chemistry 40 (1991), S. 829-846 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Ab initio averaged relativistic effective core potentials (AREP), spin-orbit (SO) operators, and valence basis sets are reported for the elements Fr through Pu in the form of expansions in Gaussian-type functions. Gaussian basis sets with expansion coefficients for the low-energy states of each atom are given. Atomic orbital energies calculated under the j-j coupling scheme within the self-consistent field approximation and employing the AREP'S in their unaveraged form (REP'S) agree to within 10% of orbital energies due to numerical all-electron Dirac-Fock calculations. The accuracy of the AREP'S and so operators is also shown to be good through comparisons of calculated so splitting energies with all-electron Dirac-Fock results.
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  • 59
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
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  • 60
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    International Journal of Quantum Chemistry 40 (1991), S. 9-21 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The calculations for uracil and its three sulfur analogs, 2-thiouracil, 4-thiouracil and 2,4-dithiouracil, were carried out using ab initio LCAO-MO method at the Hartree-Fock level. The molecular structure of uracil was fully optimized using standard 3-21G, 6-31G* and 6-31G** basis sets, while geometry optimizations of the thio- and dithio-uracils were performed at the 3-21G* and 6-31G* levels. The basis set effects on structure optimization and one-electron properties are discussed. The geometrical parameters and dipole moments calculated at different levels are compared with the available experimental data.
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  • 61
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    International Journal of Quantum Chemistry 40 (1991), S. 61-71 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The origin of torsional potentials in H3CSSCH3, H3CSSH, and HOOH and the anisotropy of the local charge distribution has been analyzed in terms of atomic multipoles calculated from the ab initio LCAO-MO-SCF wave function in the 6-31G* basis set. The results indicate that for longer —S—S-bonds the major contribution to these torsional barriers are electrostatic interactions of the atomic multipoles located on two atoms forming the rotated bond. This finding demonstrates the important role of electrostatic 1-2 interatomic interactions, usually neglected in conformational studies. It also opens the possibility to derive directly from accurate ab initio wave functions a simple nonempirical torsional potential involving atomic multipoles of two bonded atoms defining the torsional angle. For shorter —O—O— bonds, use of more precise models and inclusion of 1-3 interactions seems to be necessary.
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  • 62
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    International Journal of Quantum Chemistry 40 (1991), S. 119-130 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Mechlorethamine HN2 is a nitrogen mustard that is recognized as a fundamental model for the alkylating agents belonging to this family. This molecule is an anticancer drug that reacts strongly with intracellular DNA through a complex electrostatic mechanism. An ab initio quantum molecular study of three molecular models (neutral HN2, quaternized HN2+ aziridinium, and HN2+ free carbonium) is presented in this work. The Conformations and the Mulliken charge distributions were obtained by using HF/STO-3G, HF/6-31G*, and HF/6-31G computations. Conformational aspects and electrostatic properties are discussed with respect to the mechanism of alkylation.
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  • 63
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    International Journal of Quantum Chemistry 40 (1991), S. 183-198 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The synthetic polytetrapeptide using the repeating sequence VPGG found in the fibrous protein, elastin, exhibits a reversible inverse temperature transition, i.e., the molecular order increases on raising the temperature of the polypeptide in aqueous solutions. The matrices formed from the coacervate by γ-irradiation-induced cross-linking exhibit an elastic modulus and temperature dependence of elastomeric force with similarity to that of fibrous elastin. As demonstrated on poly(VPGVG), which forms a β-spiral structure with recurring Type II β-turns, the molecular structure of the elastin-based polypeptides is fundamental to an understanding of the mechanism of elasticity.It was found previously that the repeating unit VPGG in the polytetrapeptide forms a Type II β-turn with a hydrogen bond between Val1 C=O and Gly4 NH. This secondary structural feature is confirmed in this report by 2D NMR data as indicated by specific NOE cross-peaks, particularly, dNN(3,4), dαN(2,3), dαN(2,4), and dγN(1,4). The same secondary structural feature is found in the 2D NMR data for its analog polypeptide, poly(IPGG).The NMR data provide conclusive evidence for the Type II β-turn secondary structure. Molecular mechanics computations were performed to develop a more detailed tertiary structure for the polytetrapeptides. The ECEPP/2 potential field and build-up strategy were employed in mapping conformational space of VPGG and its high polymer. In addition, helical structures are sought using the Go-Scheraga condition, on the assumption that the repeated sequence would preferentially adopt a helical or nearhelical conformation on optimization of intramolecular hydrophobic contacts. A number of structures with helically recurring β-turns was obtained and can be used as starting structures in future studies that are to include hydration. The structures were also evaluated in terms of potential energy using the CHARMm force field.
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  • 64
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    International Journal of Quantum Chemistry 40 (1991), S. 231-245 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Qinghaosu (Artemisinin), is a sequiterpene lactone containing a peroxide group, which has been used from ancient times as an anti-malarial agent in Chinese medicine [1]. Unlike chloroquine and related compounds used as anti-malarial agents, resistant strains of malaria have not developed so far to qinghaosu. In this article; we present the results of a theoretical study of the structure of this and related molecules, using both semi-empirical and ab-initio quantum chemical methods, and an investigation of the known structure/activity (S/A) relationships of Qinghaosu and related molecules as anti-malarials using Molecular Electrostatic Potential (MEP) maps. The unusual 1,2,4-trioxane ring system, and other ring systems containing the peroxide linkage occurring in qinghaosu have also been studied in some detail. We speculate that the reactivity of this system in this context is related to a rather dramatic region of negative potential that surrounds the molecule and that includes the —O—O— linkage as well as the ring oxygen atom.
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  • 65
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    International Journal of Quantum Chemistry 40 (1991) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 66
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    International Journal of Quantum Chemistry 40 (1991), S. xi 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 67
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    International Journal of Quantum Chemistry 40 (1991), S. xxix 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 68
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    International Journal of Quantum Chemistry 40 (1991), S. xiii 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 69
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    International Journal of Quantum Chemistry 40 (1991), S. 1-8 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 70
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    International Journal of Quantum Chemistry 40 (1991), S. 35-42 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Electron propagator theory provides a correlated one-electron picture of bonding through accurate calculations of electron binding energies and Feynman-Dyson amplitudes. Reference state averages are improved with certain infinite-order corrections by employing amplitudes from coupled cluster singles and doubles calculations. The results contain all corrections to Koopmans's theorem through third-order and many infinite-order corrections. Illustrative calculations are performed on the ionization energies of H2O, HF, BH, and OH-, and on the electron affinities of CaF+ and CH+.
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  • 71
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    International Journal of Quantum Chemistry 40 (1991), S. 9-34 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is shown that the exact pair-cluster coefficients corresponding to the fully correlated limit of cyclic polyene model satisfy the equations of the approximate coupled-pair theory with quadruples (ACPQ) approach, but do not represent any solution of the standard coupled-cluster method with doubles (CCD) equations. Implications of this result for the performance of various coupled-cluster (CC) approaches, when applied to cyclic polyene model, are discussed.
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  • 72
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    International Journal of Quantum Chemistry 40 (1991), S. 81-93 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A new theoretical tool for analyzing the excited-state wave functions obtained from separate Hartree-Fock or configuration-interaction calculations on each state is proposed. Isopycnic transformations among the natural spin-orbitals of the ground and excited states yield the maximum similarity spin-orbitals (MSOs). These MSOs, which are a generalization of the method of corresponding spin-orbitals due to Amos and Hall, allow one to identify the initial and final spin-orbitals associated with the electronic excitation. The proposed formalism is equally valid in the cases of either identical or different geometries of the ground and excited states and makes it possible to assess magnitudes of the nuclear and electron relaxations accompanying the excitation. The methodology is illustrated using the example of the ROHF/6-31G** calculations on the keto and zwitterionic forms of the 3-hydroxypyrone molecule in their ground and two lowest-lying triplet excited states.
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  • 73
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    International Journal of Quantum Chemistry 40 (1991), S. 71-80 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The sum of the second- and fourth-order Hylleraas functionals and the Newton-Raphson optimization technique have been used to optimize a manifold of first- and second-order correlation orbitals (FOCOS and SOCOS) for the spin-restricted Hartree-Fock (RHF) wave function. The correlation orbitals are linear combinations of the RHF virtual orbitals. The computational implementation of the new method is discussed and a numerical application to a simple model system is presented to illustrate the capabilities of the proposed methodology.
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  • 74
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    International Journal of Quantum Chemistry 40 (1991), S. 43-70 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The energy at sixth-order Møller-Plesset (MP6) perturbation theory is given and dissected into 36 size-consistent energy contributions resulting from single (S), double (D), triple (T), quadruple (Q), pentuple (P), and hextuple (H) excitations. It is shown that MP6 is an O(N9) method, but less costly approximations to MP6 are possible. MP6 is used to analyze and compare coupled cluster (CC) and quadratic configuration interaction (QCI) methods, namely CCD, CCSD, CCSD(T), CCSD(TQ), CCSDT, CCSDT(Q), CCSDT(QQ), QCISD, QCISD(T), and QCISD(TQ). For larger molecules and molecules with distinct T contributions, CCSD is significantly better than QCISD because CCSD covers a relatively large number of T contributions and in particular T,T coupling effects at sixth order. Differences between the two methods become larger at higher orders of perturbation theory. If T and Q excitations are included in QCISD and CCSD in a noniterative way - thus leading to QCISD(T), CCSD(T), QCISD(TQ), and CCSD(TQ) - then differences between QCI and CC decrease. Hence, if a given molecular problem depends on the inclusion of T effects, improved calculational results will be obtained in the following order: MP4(SDTQ) 〈 QCISD(T) 〈 CCSD(T) 〈 QCISD(TQ), CCSD(TQ) 〈 CCSDT. None of the methods investigated is correct in sixth order. Only if CCSDT is extended to CCSDT(QPH), which is also an O(N9) method, are all MP6 energy contributions then covered.
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  • 75
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    International Journal of Quantum Chemistry 40 (1991), S. 95-106 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We derive semiclassical energy functions in configuration space that provide upper or lower bounds to the energies of quantum-mechanical systems. The bounds are predicted by rigorous theorems about the local energy which we choose to depend on adjustable parameters in order to improve the accuracy of the results. We apply the method to one-dimensional models, central-field systems, and the Zeeman effect in hydrogen.
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  • 76
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    International Journal of Quantum Chemistry 40 (1991), S. 107-111 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We discuss the solution of the time-dependent Schrödinger equation. The split operator method is used to propagate an initial wave function and the continuous Fourier transform is applied to obtain the energy eigenvalues. High resolution in the energy is obtained without line shaping techniques.s
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  • 77
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    International Journal of Quantum Chemistry 40 (1991), S. 131-139 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A demonstration of kinetic balance failure in heavily contracted basis sets is given. Other possible methods of constructing small component basis sets for 4-component relativistic calculations are discussed. The position of the additional negative energy levels in extended balance calculations in some recent many-electron calculations is examined.
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  • 78
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    International Journal of Quantum Chemistry 40 (1991), S. 121-130 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The extension of the relativistically parameterized extended Hückel method REX to systems with translational symmetry is reviewed. This extension (REXBAND) is then applied to the description of the electronic structures of a number of heavy-element solids, namely UB2, UB4, UC, UBC, and UPt3.
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  • 79
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    International Journal of Quantum Chemistry 40 (1991), S. 141-153 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The quantum time evolution in a two-state curve-crossing situation can be computed with the split operator FFT method. We present a version of that scheme that is based on the analytic exponentiation of two-by-two matrices. We use this approach to investigate the vibrational dynamics of the coupled b′, c′1 Σu+ states of the N2 molecule. We focus our study on the sensitivity of time-dependent transition amplitudes to the features of the curve-crossing topology.
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  • 80
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    International Journal of Quantum Chemistry 40 (1991), S. 113-120 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Relativistic self-consistent field (SCF) calculations have been performed on a number of neutral and ionized atoms with basis sets of contracted and uncontracted Gaussian-type functions. Both Dirac-Fock and Dirac-Fock-Breit SCF calculations have been performed with the intent of observing to what extent basis set contraction affects the calculated relativistic and Breit interaction contributions to total atomic energy. It is found that extensive basis set contraction has relatively little effect on the calculated relativistic and Breit interaction energies.
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  • 81
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    International Journal of Quantum Chemistry 40 (1991), S. 155-164 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A general algebraic procedure that yields to raising and lowering operators for the solutions of second-order differential equations is presented. The method is illustrated by applying it to the differential equations of Hermite and Laguerre polynomials. Taking advantage of the algebraic representation of these polynomials, the ladder operators for harmonic oscillator and hydrogen atom wavefunctions are straightforwardly deduced without resorting to specialized factorizations. The proposed algebraic approach can be extended to the determination of new sets of ladder operators that could be used in the calculation of matrix elements in specific applications.
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  • 82
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    International Journal of Quantum Chemistry 40 (1991), S. 183-192 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We applied special graphical technique to investigate the influence of side/end groups of macromolecules upon long range electron transfer. We show that in case of acyclic side/end groups the Green function may be cast in the form of continued fraction, similarly to the result of electron transfer in random media. The structure of continued fraction correlates exactly to the side/end graph's structure. The rules of graphical construction of Green functions (which are solutions of Schwinger-Dyson equations) are presented in concise form.
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    International Journal of Quantum Chemistry 40 (1991), S. 193-207 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Constrained Hartree-Fock methods in which orbitals are constructed from strictly local nonorthogonal subsets of the molecule's atomic orbital basis have been known for over a decade. These methods have been principally used to generate localized molecular orbitals and interpret intramolecular interactions. In this paper, constrained Hartree-Fock results from basis sets ranging from minimal to extensive are presented for hydrogen-bonded dimers in which individual molecular orbitals are constructed from atomic orbitals belonging to individual monomers. These calculations eliminate both basis set superposition errors (BSSE) as well as charge transfer between monomers. This allows one to examine the effects of basis sets on the electrostatic and polarization components to the energy unmasked from BSSE. The charge transfer components are also isolated by comparing results to unconstrained calculations near the Hartree-Fock limit, where BSSE is vanishingly small. Finally, at moderate intermolecular separations when charge transfer becomes negligible, the constrained results are compared to both counterpoise-corrected and unconstrained calculations.
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  • 84
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    International Journal of Quantum Chemistry 40 (1991), S. 165-181 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The interactions between atoms are so strong that they create an infinite number of unphysical states of lower energy than the physical ground state, thus raising the question of the significance of second and higher order perturbation energies. We have carried out a series of configuration interaction calculations which shed light on this question and other questions regarding the perturbation theory of intermolecular interactions. The calculations used an unconventional set of configuration functions, each being the product of two Slater determinants, one for each atom. This makes it possible to calculate approximations to both unphysical and physical states, and to follow the changes in eigenstate energies as the interaction is turned on between atoms. We report results for LiH which show that eigenvalues of Ĥ0 + λV̂, where Ĥ0 is the sum of atomic Hamiltonians and V̂ the interaction potential, undergo avoided crossings between λ = 0 and 1. The perturbation expansion of the ground state energy must become divergent at the first avoided crossing, λ = 0.76. In addition, we report results of calculations with three effective Hamiltonians which have all unphysical state energies shifted into the physical continuum. They show no avoided crossings between the ground state and other states until λ is almost equal to 1. The perturbation expansion derived from one of these effective Hamiltonians is shown to have several desirable properties which the expansions derived from the other two lack. Its one fault is that it must diverge at λ = 1, where an avoided crossing occurs. This avoided crossing is related to the exchange symmetry of electrons. The implications of our results for the meaning of second-order perturbation energies and for the development of convergent exchange perturbation methods is discussed.
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  • 85
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    International Journal of Quantum Chemistry 40 (1991), S. 209-223 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The goal of this article is to illustrate the use of symbolic computation in solving problems in physics and chemistry. For instance, the application of the inner projection technique combined with renormalization is shown to give very tight bounds for the ground-state energy of anharmonic oscillators. Some typical results are presented. Further, it has been observed that inner projection is directly applicable to the PPP and Hubbard Hamiltonians. The results for the model of benzene are briefly presented. A new method for summing divergent series, which we call the Weniger summation method, is proposed. This method is used, with excellent results, for the summation of divergent perturbation series for the energy of anharmonic oscillators. This method is also applied for the summation of the divergent series corresponding to the ground-state energy of the Hubbard Hamiltonian of the infinite chain. Other applications of the Weniger summation method to diffusion and heat conduction problems are summarized.
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  • 86
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    International Journal of Quantum Chemistry 40 (1991), S. 249-259 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We have used density functional theory in the local density approximation, as implemented in the DMol-double numerical plus polarization (DMol/DNP) procedure, to calculate optimized geometries for a group of molecules containing only first-row atoms. The results are in generally satisfactory agreement with experimentally determined structures. The DMol/DNP atomic and molecular energies are rather poor, when compared to high-level ab initio GAUSSIAN 1 values (which are taken as the standard), but the errors do show excellent linear correlations with the total energies. These relationships allow the DMol/DNP results to be corrected to a high degree of accuracy, so that they can then be used to obtain atomization and dissociation energies that compare well with measured values. It is shown that the errors in the DMol/DNP energies tend to increase as the number of electrons becomes larger and the number of nuclei smaller.
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  • 87
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    International Journal of Quantum Chemistry 40 (1991), S. 225-234 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Algebrants are generalized matrix functions; they are multilinear forms of which the determinant, the permanent, and the immanant are special cases. A formal definition and fundamental properties of algebrants was given in paper I of this series. The present work develops algorithms for computation of those algebrants that arise in computational spin-free quantum chemistry for valence bond (VB) wave functions built on nonorthogonal orbitals. Namely, we exploit the left- and right-hand antisymmetry of N P N ˚A to develop algorithms that greatly reduce or eliminate the N! problem. The algorithms can be implemented in any computer language; our implementation in FORTRAN is available upon request. The savings effected by spin-free vs Slater determinant versions of VB theory are illustrated for 2, 3, …, 10 electrons.
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    International Journal of Quantum Chemistry 40 (1991), S. 235-248 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: To understand the density-gradient expansion approximation for the exchange-correlation energy of density-functional theory from a fundamental viewpoint, we have performed an analysis of the corresponding expansion of the Fermi-coulomb hole charge distribution. The Fermi-Coulomb hole represents the correlations between electrons resulting from the Pauli exclusion principle and Coulomb's law. The analysis is performed in the exchange-only approximation by considering the expansion for the Fermi hole to terms of O(▽3) as applied to atoms. Our study shows that the expansions to O(▽), O(▽2), and O(▽3) all severely violate the constraint of positivity, becoming progressively worse with increasing orders of ▽. Further, the expansion to O(▽2) also severely violates the constraint of charge neutrality. (Terms of O(▽) and O(▽3) do not contribute to this constraint or to the exchange energy.) Thus the description of the physics of Pauli correlations in atoms as given by this approximation is highly unphysical. In spite of this, the exchange energy to O(▽2) is superior to the local density approximation because the expansion hole better approximates the exact Fermi hole in the interior of atoms from which arise the principal contributions to the energy. However, the improvement is not substantial, as the oscillations in the expansion Fermi hole occur within the atom itself. For asymptotic positions of the electron, the expansion holes to each order neither approximate the local density approximation nor the exact Fermi hole. Thus we understand why the expansion cannot lead to accurate highest occupied eigenvalues. The oscillations of the expansion Fermi hole also demonstrate why the Slater potential and electric field that result from these hole charge distributions are singular. On the other hand, we show that the expansion approximation is mathematically consistent in that the coefficient of the gradient correction term for screened Coulomb interaction to O(▽2) as obtained from the approximate Fermi hole is the same as that derived from linear response theory. We conclude with remarks on the Coulomb hole as obtained within this gradient expansion approximation scheme.
    Additional Material: 6 Ill.
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  • 89
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    International Journal of Quantum Chemistry 40 (1991), S. 261-268 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The functionals adopted in the present work are those of DePristo and Kress [Phys. Rev. A35, 438 (1987)] for the kinetic energy, of Cedillo et al. [Phys. Rev. A38, 1697 (1988)] for the exchange energy, and of Wilson and Levy [Phys. Rev. B41, 12930 (1990)] for the correlation energy. In addition to the kinetic-, exchange-, and correlation-energy functionals, the total-energy functional used in the present calculations contains also the functional describing the interaction of the electrons with the atomic nucleus, and the functional describing the classical or direct part of the interaction among the electrons. Using these functionals, a two-parameter and a three-parameter variational density-functional calculation of the total atomic binding energy of the Ne atom is carried out. The electron (number) density of the Ne atom is modeled by using hydrogenlike one-electron radial wavefunctions (with the 2s radial function orthogonalized to the 1s radial function) containing two/three variational parameters. It is found that the calculated correlation energies are in reasonable agreement with the correlation energy value obtained from the Wilson and Levy expression with a Hartree-Fock electron density.
    Additional Material: 5 Tab.
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  • 90
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    International Journal of Quantum Chemistry 40 (1991), S. 269-279 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The molecular and electronic structures of ADPO 1, a model thiapentalene 2, and [Xe2F3]+ have been calculated in the local-density functional (LDF) formalism with polarized double numerical basis sets. The molecules were calculated to have planar C2ν structures in agreement with experiment and in contrast to Hartree-Fock molecular-orbital calculations. The vibrational spectra of all species were calculated to show that the optimized structures are indeed minima. The calculated spectrum of [Xe2F3]+ is compared with the experimental one and excellent agreement is found. These results demonstrate that the LDF method can be applied to the prediction of molecular structures containing hypervalent bonds.
    Additional Material: 4 Tab.
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  • 91
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    International Journal of Quantum Chemistry 40 (1991), S. 299-309 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Molecular dynamics simulation of mixed quantum-classical systems, in situations where the quantal degrees of freedom undergo transitions among states, poses a number of challenging problems. Among the difficulties are bifurcation of trajectories that evolve into different quantum states and proper treatment of quantum coherence. In this article we outline the problems and contrast the ways in which they are addressed by current methods for nonadiabatic molecular dynamics. In the course of this comparison we present a new result, the relationship between the velocity adjustment in the “surface hopping” method and the “Pechukas force,” as well as some new reflections on an old result, oscillatory yields in ion-surface scattering.
    Additional Material: 2 Ill.
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  • 92
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    International Journal of Quantum Chemistry 40 (1991), S. 289-297 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A density-functional theory describing the superconducting state of matter is presented. The formalism leads to a set of single-particle equations that are structurally similar to the Bogoliubov-de Gennes equations but (in contrast to the latter) incorporate both normal and superconducting exchange-correlation effects. It is demonstrated via a rigorous decoupling scheme that these single-particle equations are equivalent to a set of normal Kohn-Sham equations, and a BCS-type gap equation to be solved self-consistently with the Kohn-Sham equations.
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  • 93
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    International Journal of Quantum Chemistry 40 (1991), S. 311-323 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Determining mechanisms of chemical reactions involves finding dynamical paths between desired (given) reactant and product states. We have developed a method that is based on recasting the principle of stationary action into a general and computationally tractable form that yields all dynamical paths connecting the initial and final configurations of the system. Thus the method has advantages over the traditional initial-value trajectory calculations for solving such boundary value problems. We give some examples of reaction paths for H(2S) + O2(3Σg-) ↔ OH(2II) + O(3P) on the ground state potential energy surfaces HO2(2A″).
    Additional Material: 6 Ill.
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  • 94
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    International Journal of Quantum Chemistry 40 (1991), S. 281-288 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Electrostatic solvation energies of singly charged monoatomic ions may be predicted from the knowledge of an electrostatic potential buildup from a physically meaningful ionic radius. Since the asymptotic behavior of the electrostatic potential for cations and anions do not follow the same pattern, different methodologies are needed. The reaction field potential required for the calculation of Born's solvation energies of singly charged cations may be obtained from the simple Thomas-Fermi-Dirac theory, based on the condition that the electrostatic potential of the ground-state atomic ions do exactly equal the negative of their chemical potentials. For singly charged anions, electrostatic solvation energies may be directly obtained from Sen-Politzer electrostatic potentials. Numerical results are presented for two representative series of ions and compared with experimental data.
    Additional Material: 3 Tab.
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  • 95
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    International Journal of Quantum Chemistry 40 (1991), S. 325-333 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electrophilic substitution in a series of 5-aminobenzofurans was investigated by all-valence electron AM1 molecular orbital calculations. Various molecular properties of the reactants, intermediates, and products were computed and compared with available experimental data. The results indicate that while calculated ground-state charge densities cannot be used to predict reactivity and orientations, the relative thermodynamic stabilities of the reaction intermediates (arenium ions, σ complexes) reflected by calculated heats of formation (ΔHƒ) accurately indicated the isomers resulting from the kinetically controlled substitutions. The relative stabilities of the reaction products could be used to predict reaction preferences for the thermodynamically controlled electrophilic substitutions. Positions 4 for both aniline and 5-aminobenzofurans were the most susceptible toward electrophilic attack. The calculated ΔHƒ of the reaction intermediates, in good agreement with the experimental data, were capable of distinguishing between slightly nonequivalent positions such as the ortho and ortho prime to a substituent. Calculated AM1 ΔHƒ may represent practical guides in the prediction of sites of electrophilic aromatic substitutions for molecules with complex structures.
    Additional Material: 1 Ill.
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  • 96
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    International Journal of Quantum Chemistry 40 (1991), S. 347-358 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We have performed ab initio (3-21 G) calculations on the weakly bound donor-acceptor complex between benzene and tetracyanoethylene (TCNE) as a function of various intermolecular motions. The resultant potential energy surface (PES) was then fit to the product of analytical functions. Classical dynamics was performed on this PES by solving Hamilton's equations using a fourth-order Runge Kutta differential equation solver. Time steps were of the order of 1.0 femtosecond and the system was allowed to evolve for 1,000,000 time steps. Fast Fourier analysis of the resulting trajectories indicate that the primary intermolecular vibrational frequencies are 118, 228, and 232 cm-1. These correspond to the motion of the intermolecular separation coordinate, and the two twisting coordinates. We also discuss other possible solutions, zero-point energies, etc.
    Additional Material: 10 Ill.
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  • 97
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    International Journal of Quantum Chemistry 40 (1991), S. 371-385 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Some of the fundamental theoretical concepts for molecules in homogeneous strong magnetic fields are discussed. First, we perform the pseudoseparation of the center of mass motion for neutral as well as charged systems. The resulting Hamiltonian allows us to investigate the problem of the Born-Oppenheimer adiabatic separation of electronic and nuclear motion in the presence of a magnetic field. In particular, we study the most important differences to the field-free case. Finally we discuss the symmetry groups for molecules in a magnetic field and investigate the possibilities and effects of the interaction of molecular electronic states through nuclear motion. Even for diatomic molecules severely enhanced nonadiabatic effects may occur in a magnetic field.
    Additional Material: 2 Ill.
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  • 98
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    International Journal of Quantum Chemistry 40 (1991), S. 335-345 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this work we analyze the interrelations between potential energy changes and molecular shape changes along the reaction paths for a series of ring-opening reactions. The processes studied correspond to the opening of the four-member rings of 1,2-dioxete, 2H-oxete, 2H-thiete, and 1,2-dithiete, which recently have been given considerable attention in the literature. We describe the molecular shape in terms of a continuum of fused-sphere surfaces, which are characterized by using molecular topological methods. The four processes cover a range of reaction enthalpies from largely exothermic to almost thermoneutral. The similarity between the configurations found along the reaction path is assessed quantitatively in terms of parameters associated with the molecular shape and the path itself. We find a correlation between the value of the energy barriers (and reaction enthalpies) and the similarity parameters. The correlation is comparable to that found in the case of various other processes, such as torsional changes, collisions, and intramolecular atom displacements or shifts. The results are in line with the intuitive correlations expected from the Hammond postulate.
    Additional Material: 8 Ill.
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  • 99
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    International Journal of Quantum Chemistry 40 (1991), S. 359-370 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A general procedure to evaluate the rotational state population distributions of the nascent photofragments from the photodissociation of polyatomic molecules has been implemented with the use of the kinematic distribution function developed by Chen and Pei [Chem. Phys. Lett. 124, 365 (1986)]. Numerical evaluations of rotational state population distributions of diatomic photofragments from photodissociation of the general class of triatomic molecules are presented. The calculated rotational state population distributions are compared with the most recent experimental data on OH and SH photofragments to obtain the information on the kinematic aspects of the photodissociating H2O and H2S molecules.
    Additional Material: 4 Ill.
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  • 100
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    International Journal of Quantum Chemistry 40 (1991), S. 401-414 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The study of atoms and ions in unusual environments is an area of current interest. Examples of such environments are the Crab pulsar, where magnetic fields well in excess of 1012 G are encountered and plasmas, studied under intense laser irradiation, where “confined” atoms are subjected to electric fields corresponding to laser fluxes of 1018 W/m2. In this article, a unified theoretical approach is presented to treat atoms in such intense fields. The major theoretical tool employed is the Bloch or canonical density matrix. This is used first for treating magnetic fields, numerical examples of heavy atoms, and ions in intense fields being referred to specifically. Then the same theory is used for “confined” atoms in intense electric fields. Very brief reference is made to molecules in magnetic fiels, with the illustrative example of the simplest molecular ion H2+.
    Additional Material: 1 Tab.
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