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  • 1990-1994  (2,365)
  • 1985-1989  (1,638)
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  • Computational Chemistry and Molecular Modeling  (4,003)
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  • 101
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 50 (1994), S. 109-112 
    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: Steric hindrance has been regarded as a result of nonbonding atomic repulsion and measured in terms of empirically obtained van der Waals radii. The authors sought the cause of steric hindrance using the partial derivatives of the energy-components with respect to a nuclear coordinate. The results show that electrostatic interactions do not produce steric hindrance but the restriction on electron-movement does. Namely, the kinetic energy pressure is the first cause of steric hindrance. © 1994 John Wiley & Sons, Inc.
    Additional Material: 1 Ill.
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  • 102
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 50 (1994), S. 113-134 
    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 method developed previously for computing eigenfunctions of one-dimensional Schrödinger operators is extended to Schrödinger operators in L2(R3N). It is known that in many cases these operators have not a compact resolvent; therefore, the convergence in L2(R3N) of the more used methods for computing the eigenfunctions is not guaranteed. The idea of the present method consists of replacing the eigenvalue problem in L2(R3N) by one corresponding to the system confined into a box Ω with impenetrable walls [Dirichlet problem in L2(Ω)]. It is shown that the eigenfunctions of the unbounded system can be approximated by those of the confined system when the box Ω is expanded. On the other hand, it is proved that the Schrödinger operator associated to the confined system has a compact resolvent and its corresponding sesquilinear form is bounded and elliptic in the Sobolev space W2,10(Ω). These properties guarantee the convergence in L2(Ω) of the standard methods to solve the Dirichlet problem: the Ritz method as well as the finite-element and finite-difference methods. Therefore, the eigenfuncions of the unbounded system can be approximated in L2(R3N) by means of the numerical solutions of the Dirichlet problem in L2(Ω) with sufficiently large Ω. This property guarantees the accurate computation of the true expectation values. © 1994 John Wiley & Sons, Inc.
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  • 103
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 50 (1994), S. 135-149 
    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: Results are reported from calculations of electric dipole transition moments for various electronic transitions in Be, CH2, and A1H using multireference singles and doubles configuration interaction, quasi-degenerate variational perturbation theory, and multireference averaged coupled pair functional theory. A simple normalization scheme is used for the quasi-degenerate variational perturbation theory and multireference averaged coupled pair functional theory wave functions. In all cases, comparison is made with full configuration interaction results in the valence space. For Be and CH2, all methods are of comparable quality in calculating the transition moments and excitation energies, with averaged coupled-pair functional theory yielding slightly quicker convergence of the excitation energies and transition moments in most cases. For AlH, multireference singles and doubles configuration interaction is somewhat more accurate for the calculation of the transition moment. Factors that affect the accuracy of the methods are discussed. © 1994 John Wiley & Sons, Inc.
    Additional Material: 12 Tab.
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  • 104
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 50 (1994) 
    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
    Type of Medium: Electronic Resource
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  • 105
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    International Journal of Quantum Chemistry 50 (1994), S. 151-160 
    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, Møller-Plesset perturbation theory (MP2), and quadratic configuration interaction, using single and double substitutions (QCISD), calculations were carried out for the NF3+ ion. Optimized structures were examined at the various levels of theory. Calculation of the inversion barrier height shows the importance of optimizing the geometry at the post-Hartree-Fock level and the inclusion of polarization functions. The best calculated inversion barrier was 13.3 kcal/mol, compared to an experimental value of 17.3 kcal/mol. The dissociation transition state was computed to determine the well depth of the NF3+ ion and its stability toward dissociation. The computed well depth was 28 and 48 kcal/mol at the SCF and MP2 levels, respectively. © 1994 John Wiley & Sons, Inc.
    Additional Material: 3 Ill.
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  • 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 have extended our computations of the structure and of the infrared and Raman spectra of methylphosphonates and related compounds to the O-ethyl S-2-diisopropylaminoethylmethylphosphonothiolate molecule (we abbreviate the name to ESD). We have computed the optimized geometry and the vibrational infrared and Raman frequencies of ESD by means of the Guassian 92 Program Package using 6-31G* basis sets. We assign the vibrational frequencies and we correct each frequency by multiplying it with a previously derived 6-31G* correction factor. The result is a computer-generated prediction of the IR and Raman spectra of ESD. The agreement between our theoretical predictions and the experimental IR spectrum of ESD is surprisingly good. © 1994 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 107
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    International Journal of Quantum Chemistry 50 (1994), S. 173-179 
    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 structure of B14, B142-, and B14H142- in octahedral symmetry has been investigated by ab initio calculations at the STO-3G and 4-31G levels. The relationship of molecular orbitals among them has been analyzed and it can be found that the number of valence bonding orbitals of high borane obeys the Wade rule. The similarities and difference between boron clusters and carbon clusters are also discussed. © 1994 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 108
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    International Journal of Quantum Chemistry 50 (1994), S. 189-196 
    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 valence bond method has been implemented for the study of π-electron systems using a semiempirical CNDO-type Hamiltonian. The algorithm used is based on the Clifford algebra realization of the Rumer-Weyl basis presented by Paldus et al. Using this version of the CNDO-VB approach, the effect of the metal hybridization in the electronic delocalization of metallacyclobutadienes is discussed. © 1994 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 109
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    International Journal of Quantum Chemistry 50 (1994), S. 197-205 
    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: Based on the virial theorem and the virial function, a description of the orbital binding effect and the definition of orbital bond order are developed within the framework of molecular orbital theory for both diatomic and polyatomic molecules. Orbital binding effect calculations for N2, CH4, C2H4, C2H2, and C4H4 molecules show that the definition is reasonable. © 1994 John Wiley & Sons, Inc.
    Additional Material: 5 Tab.
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  • 110
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    International Journal of Quantum Chemistry 50 (1994), S. 181-188 
    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: Catalysts based on oxides of transition metals were studied by Xα-DV calculations. The chemical composition and electronic structure of surface layers for platinum(IV) oxide catalysts modified under percompound electrosynthesis were determined by X-ray photoelectron spectroscopic, quantum chemical, and electrochemical data. The main regularities in electronic structure change under the transition from solid pure oxide PtO2 to its, in part, N-substituted PtO2-xNx were analyzed. Then, we looked for perspective catalysts, calculating the electronic structure for analogous compounds of Ir(III), Ir(IV), Rh(III), and Pd(II). We found that the changes in electronic structure of rhodium oxide under O - N-substitution allowed us to predict the excellent properties of its compound as a catalyst for percompound electrosynthesis reactions. © 1994 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 111
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    International Journal of Quantum Chemistry 50 (1994) 
    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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  • 112
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    International Journal of Quantum Chemistry 50 (1994), S. 207-231 
    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 article, we demonstrate a complementarity between the quasi-spin SU(2) algebra of the Hubbard model and the pseudo-orthogonal group O(m,m), where n = 2m is the number of lattice sites. It is shown that all N-electron states for the one-dimensional Hubbard model, corresponding to given values of spin and quasi-spin, give rise to an irreducible representation of O(m,m). Moreover, the cyclic group Cn symmetry of the Hamiltonian is investigated and the O(m,m) ↓ Cn branching rules are determined with the use of the U(n) q-dimension formula. © 1994 John Wiley & Sons, Inc.
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  • 113
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    International Journal of Quantum Chemistry 50 (1994), S. 233-242 
    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: Based on the EHMO approach, an approximate treatment of electronic energy-band structures is suggested. By employing this treatment, computations of the band structures for the Al-doped superconductors YBa2Cu3-xAlxO7 + δ were carried out. It is shown by analysis of the band structures and the density of states that the 2D Cu-O planes in the Y—Ba-Cu—O superconducting system play a dominant role in superconductivity, whereas the 1D Cu—O ribbons have indirectly an influence on superconductivity through the connection of the O(4) atoms to two Cu—O planes. © 1994 John Wiley & Sons, Inc.
    Additional Material: 3 Ill.
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  • 114
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    International Journal of Quantum Chemistry 50 (1994), S. 243-271 
    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 superdirect configuration interaction (Sup-CI) method has the usual versatility and stability of the CI methods with computational efficiency typical to that of the many-body methods, such as the many-body perturbation theory (MBPT). The Hamilton operator is projected into a space of a few trial vectors, such as Krylov, Nesbet, or Møller-Plesset correction vectors. In this space, Hamiltonian matrix elements may be directly computed in the many-body fashion, as weighted sums of integral products over orbital indices. The variation-perturbation method based on the first-order wave function is equivalent to the Sup-CI method with a single correction vector of the Møller-Plesset type. Different points of view on the superdirect CI method are discussed and a version in which third-order contributions are computed for a relatively small (10-100) space of reference and correction vectors is tested. Selection of the best “effective first-order spaces” and size-extensivity corrections in Sup-CI are briefly discussed. Møoller-Plesset, Epstein-Nesbet, and other correction vectors are included in the model calculations on the symmetric stretch of bonds in water, acetylene, and the NH2 molecule. Errors are almost independent of molecular geometry and the method appears to be superior than the multireference second-order perturbation methods. © 1994 John Wiley & Sons, Inc.
    Additional Material: 6 Ill.
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  • 115
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    International Journal of Quantum Chemistry 50 (1994), S. 273-277 
    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 isodesmic energy analysis has been carried out at the MP2/6-31G*//HF/3-21G level for the nonplanar ground state (1) of 1,3,5,7-cyclooctateraene and for two planar forms, one having complete π delocalization (2) and the other having alternating single and double bonds (3). 1 is found to have a considerable degree of stabilization, which is attributed to limited π delocalization. The polyene 3 is the more stable of the two planar forms; it is a transition state in the inversion between two possible nonplanar structures. 2 is found to be a triplet at the Hartree-Fock level and is a critical point on an alternate pathway between the two possible arrangements of alternating single and double bonds in 3. Both 2 and 3 have negative isodesmic energies, indicating the presence of stabilizing factors. Our results for 3 show that an “antiaromatic” system need not necessarily show a net destabilization. © 1994 John Wiley & Sons, Inc.
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  • 116
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    International Journal of Quantum Chemistry 50 (1994) 
    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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  • 117
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    International Journal of Quantum Chemistry 49 (1994), S. 739-770 
    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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  • 118
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    International Journal of Quantum Chemistry 49 (1994), S. 727-738 
    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 Hubbard model is rederived from a tight-binding band calculation, showing that, as long as parameters are properly chosen, the model is justified for calculating electronic properties of narrow-band systems. The treatment is extended by including correlations and it was found that bound solutions called dimers exist. The concept of dimers is found to be very powerful for understanding the unusual properties of heavy fermion systems. However, a Mott-Hubbard-like model may be required to calculate properties of high Tc cuprates. © 1994 John Wiley & Sons, Inc.
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  • 119
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    International Journal of Quantum Chemistry 49 (1994), S. 771-771 
    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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  • 120
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    International Journal of Quantum Chemistry 49 (1994) 
    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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  • 121
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    International Journal of Quantum Chemistry 49 (1994), S. 781-788 
    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 electronic structures calculations are reported for the four low-lying electronic states X 2B1, 2B2, 2A2, and 2A1 of the CH2NO2 radical. The geometric parameters for the ground-state X 2B1 are predicted by MRSDCI calculations with a double zeta plus polarization basis set. The vertical excitations energies for these electronic states are determined using MRSDCI/DZ+P calculations at the ground-state equilibrium geometry and in agreement with the recent experimental data obtained via PES of the CH2NO2- anion. The oscillator strenghts and the radiative lifetimes for these electronic states and the spin properties for the ground state are calculated based on the MRSDCI wave functions, predicting results in good agreement with available experimental data. © 1994 John Wiley & Sons, Inc.
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  • 122
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    International Journal of Quantum Chemistry 49 (1994), S. 789-804 
    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 many-fermion interacting system is investigated within the scenario of the Feynman path integral representation of quantum mechanics. Short-time propagator algorithms and a basis set, closely related to the coherent states, are used to obtain the many-body analytic propagator. A second-quantized Hamiltonian involving a restricted set of two-body interactions and the whole set of Coulomb interactions are separately and shown to lead to an exact and an approximate propagator, respectively. In the latter case, use of a grand canonical ensemble allows the grand partition function and the density operator matrix to be readily obtained. No further approximations are required in the calculation of the trace of the evolution operator involved in the evaluation of statistical expectation values. © 1994 John Wiley & Sons, Inc.
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  • 123
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    International Journal of Quantum Chemistry 49 (1994), S. 773-780 
    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 problem of the determination of eigenvalues for two coupled Schrödinger equations is considered. A new method to solve this problem is presented. This method replaces the use of the wave functions (with unknown initial values) by eight canonical functions αij and βij (i = 1,2; j = 1,2) having well-defined initial values at an arbitrary “origin” r0. These functions are collected in four couples; each one is the solution of the given coupled equations. For a given E, an “eigenvalue functions” D(E) is defined by an analytical expression depending on αij (r) and βij (r) at r = 0 and r = ∞ only. The successive eigenvalues En of the given system are precisely the successive intersection of the graph D(E) with the E-axis. The present method eliminates the conventional use of wave function initial values as well as the conventional problem of the prior guess of the limit points; it determines these points automatically. It eliminates also the use of trial values for E and the need of iterations for its correction. The numerical application of a standard example used by Friedman and co-workers (1990) shows that the eigenvlues computed by the present method are highly accurate for low and high levels; the average relative discrepancy between computed and exact levels is about 3.4 × 10 -15 (this discrepancy never exceeds 1.6 × 10 -14), which is almost the precision of the computer. © 1994 John Wiley & Sons, Inc.
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  • 124
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    International Journal of Quantum Chemistry 49 (1994), S. 805-816 
    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 equilibrium geometry of some benzylidene, arylethylidene, and heterocyclic arylidene malononitriles has been calculated within the framework of the MNDO-MO formalism. Various structural factors are analyzed and discussed in terms of localized and delocalized MOS and π-interaction between methylene malononitrile (MMN) and aryl moieties. The possibility of charge transfer (CT) from aryl to MMN moieties has been examined. The presence of a heterocyclic ring introduces a small perturbation into the MMN nuclear frame. p-Substituents have a pronounced effect on the magnitude and direction of the dipole moment. The variation of ionization potentials and bond order with the Hammet σ p are examined and a straight-line relationship is obtained. The correlation between physiological activity and quantum mechanical properties is analyzed in terms of heat of formation, ionization potential, dipole moment, and charge density on the aryl ring. © 1994 John Wiley & Sons, Inc.
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  • 125
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    International Journal of Quantum Chemistry 49 (1994), S. 835-848 
    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 derivation of the linear response function for the Brueckner coupled cluster method is presented that enables the calculation of second-order molecular properties such as frequency-dependent polarizabilities. By using the Brueckner orbital variant of coupled cluster theory, the spurious pole structure inherent in the standard coupled cluster approach with orbital relaxation is avoided. © 1994 John Wiley & Sons, Inc.
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  • 126
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    International Journal of Quantum Chemistry 49 (1994), S. 817-833 
    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: Contracted split valence 311 Gaussian basis sets optimized for the averaged relativistic effective potentials (AREP) of Christiansen et al. are developed for the main-group elements B—Ne, Al—Ar, and Ga—Kr. These triple-zeta basis sets are intended for use in valence-only molecular calculations with inclusion of correlation. The performance of the optimized basis functions is first analyzed in HF atomic calculations and compared with HF-limit results. Molecular calculations at the HF, MP2, and CISD levels of theory are performed for some selected diatomics, using these potentials and the optimized sets supplemented by one standard d-type polarization function. Results are reported for bond lenghts, harmonic vibrational frequencies, dipole moments, atomization energies, and ionization energies and compared with all-electron reference calculations and experimental data. © 1994 John Wiley & Sons, Inc.
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  • 127
    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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  • 128
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    International Journal of Quantum Chemistry 49 (1994), S. 849-875 
    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 d(AG) · d(CT), d(TG) · d(CA), d(AC) · d(GT), and d(TC) · d(GA), which are stacked base pairs in the DNA double helix, are elucidated for A and B conformations in detail by DV-Xα cluster calculations. By using the S̃r values of the O2 (and O3) of each phosphate in the clusters together with those calculated in previous articles, it becomes possible to treat chemical reactivities of phosphates as recognition sites for all DNA fragments. Contour maps of the wave function of the HOMO and LUMO for bases differ subtly among the clusters and show the various fields around the P ion induced by the respective stacking constructed from four kinds of bases. © 1994 John Wiley & Sons, Inc.
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  • 129
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    International Journal of Quantum Chemistry 49 (1994), S. 879-881 
    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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  • 130
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    International Journal of Quantum Chemistry 50 (1994) 
    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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  • 131
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    International Journal of Quantum Chemistry 50 (1994), S. 21-42 
    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: The present work is dedicated to the introduction of a new single-center expansion method derived from the Barnett and Coulson approach leading to reliable numerical algorithms. The basic concept lies in the use of the integral representations of the modified Bessel functions Iλ+1/2 and Kλ+1/2, rather than employing their closed analytical expressions that are known to involve large numbers that usually make the numerical calculation worthless. It is applied to two-center overlap and Coulomb integrals as well as to three-center nuclear attraction integrals useful in density functional theory. © 1994 John Wiley & Sons, Inc.
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  • 132
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    International Journal of Quantum Chemistry 50 (1994), S. 1-20 
    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: Rules for molecular cyclicity based on the global indices resulting from reciprocal distances (Harary number, H) or from resistance distances (Kirchhoff number, Kf) were tested in comparison with those elaborated earlier by means of the Wiener index, W. The Harary number and the Wiener number were found to match molecular cyclicity in an almost identical manner. The Kirchhoff number also generally follows cyclicity trends described previously. H is slightly less degenerate than is W, but Kf has practically no degeneracy in the graphs investigated here. Being much more discriminating than the Wiener number (i.e., practically nondegenerate), Kf allowed the formulation of new rules for systems formed from linearly condensed ribbons of even-membered rings with different sizes as well as for branched ribbons. The topological cyclicity patterns are thus reformulated in an extended basis, proceeding from three different graph metrics. © 1994 John Wiley & Sons, Inc.
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  • 133
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    International Journal of Quantum Chemistry 50 (1994), S. 43-53 
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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 pairon population analysis based on the geminal expansion of pair densities is introduced and applied. As demonstrated by numerical data calculated for a series of simple molecules by the semiempirical MNDO method, the resulting populations provide a new simple means of visualizing the molecular structure. In addition to the reproduction of classical structural formula including the multiplicity of individual bonds, the resulting populations confirm the transferability of bond energies and also provide a simple interpretation of the concept of quantum chemical valence. © 1994 John Wiley & Sons, Inc.
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  • 134
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    International Journal of Quantum Chemistry 50 (1994), S. 55-67 
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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: In the present article, improved algorithms for evaluating the irreducible representations of the symmetric group associated with an arbitrary partition, such as the orthogonal, the natural, and the seminormal representation, are introduced and the relations among them are discussed. With the new algorithms, a representation matrix for the orthogonal or the seminormal representation is expressed as the product of three matrices, where two of them are the triangular intrinsic matrices depending on the irreducible representation of the symmetric group; the other relating to the permutation can be given explicitly. Furthermore, we give a concise description for the irreducible representations of the symmetric group and reach an interesting conclusion that the conjugation transformation matrix between the orthogonal and the natural representation is the intrinsic matrix of the symmetric group. © 1994 John Wiley & Sons, Inc.
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  • 135
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    International Journal of Quantum Chemistry 51 (1994), S. 539-553 
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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 availability of recent supercomputers and massively parallel computing facilities makes possible the calculation of the electronic structure of highly extended (mesoscopic) molecular networks. Disorder, which is practically always present in these systems, causes an extreme complexity of the wave function that typically shows multifractal behavior in the intermediate length scale. Multifractal analysis, however, is possible only on systems that cover several orders of length scales. Though such calculation can be carried out on model systems, it is beyond the bounds of present ab initio or semiempirical treatments. In this contribution, a shape-analysis method of the wave function is given that is applicable both for localized and multifractal one-particle states even in moderately large networks without a regular geometrical structure. No boxing of the distributions is necessary through several orders of magnitude of scaling distances. Multifractal behavior and different regularly decaying localization shape functions can be distinguished. Finite-size multifractal distributions are also discussed. The described method is intended to serve as an easily applicable and efficient tool for bridging over the gap between the wave-function analysis of systems containing macroscopic and moderately large number of particles. © 1994 John Wiley & Sons, Inc.
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  • 136
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    International Journal of Quantum Chemistry 52 (1994), S. 153-163 
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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 vibration and rotation of molecules affects nuclear spin-spin coupling constants. This manifests itself as a temperature dependence of the coupling and also as an isotope effect (after allowing, where necessary, for differing magnetogyric ratios of the two nuclei involved in the isotopic substitution). Within the Born-Oppenheimer approximation, a nuclear spin-spin coupling surface can be defined for each pair of coupled nuclei. This surface is sampled by the nuclei as they undergo the excursions about equilibrium geometry that are governed by the force field. An accurate ab initio carbon-proton spin-spin coupling surface for the methane molecule has been calculated. This was obtained by summing the surfaces for each of the four contributions - Fermi contact, spin-dipolar, orbital paramagnetic, and orbital diamagnetic - expressed as power series in terms of symmetry coordinates. Preliminary calculations for 13CH4 and 13CD4 give a difference of only 6% between the calculated and observed nuclear motion contributions. The observed temperature dependence is also accounted for by the calculations. For these isotopomers, bond stretching plays the dominant role. © 1994 John Wiley & Sons, Inc.
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  • 137
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    International Journal of Quantum Chemistry 52 (1994), S. 177-189 
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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: Using the Hartree-Fock and MP2 methods with bases of up to 6-31++G(2d, 2p) quality, the optimum geometry of the 1:2 and 2:1 (H2O)n… (HF)m complexes of water and hydrogen fluoride is searched in a systematic way. Two minimum-energy conformations are found for the 1:2 complex connected through a low-energy transition state. For the 2:1 complex, only one minimum-energy structure is obtained. The analysis of the geometries of the minima and their vibrational frequencies shows that none of them can be used to explain the existence of the H …F—H reverse complex detected experimentally. © 1994 John Wiley & Sons, Inc.
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  • 138
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    International Journal of Quantum Chemistry 52 (1994), S. 227-245 
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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 dynamical behavior of simple nonrigid molecules still attracts much interest both from experimentalists and theoreticians. On the one hand, modern laser-spectroscopic techniques like SEP allow for the detection of highly excited vibrational-rotational states of a molecule, and advanced theoretical methods, on the other hand, are more and more able to calculate accurate potential energy surfaces and to simulate the intramolecular dynamics. The aim of the present article was to contribute to the understanding of the dynamical properties of simple floppy molecules by means of a comparative study of the two triatomics HCN and HO2. Continuing our earlier work, we start from an analysis of the potential energy surface topography, then we investigate the classical dynamical behavior and the localization of the quantum states. Several conclusions of probably more general validity are drawn. © 1994 John Wiley & Sons, Inc.
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  • 139
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    International Journal of Quantum Chemistry 49 (1994), S. 35-43 
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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 recently introduced second-order similarity index gAB was generalized by using the geminal and/or spingeminal expansion of pair densities that they are derived from. The comparison with previous related studies confirms that the generalization does increase the information content of new indices, especially in providing the information about the difference in the spin recoupling of pure singlet and triplet states of electron pairs. Analogously, as in previous studies, the approach was applied to the analysis of several selected pericyclic reactions and possible mechanistic implications arising from the increased information content are briefly discussed. © 1994 John Wiley & Sons, Inc.
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  • 140
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    International Journal of Quantum Chemistry 49 (1994), S. 59-61 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 141
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    International Journal of Quantum Chemistry 49 (1994), S. 45-57 
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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 advocated to carry out an optimization procedure, which is based upon the variational method, in such a way that the optimum values of the variational parameters are expressed as functions of physical constants, such as the atomic number, Z. The three stages involved in this treatment are illustrated by the optimization of nine correlated wave functions, which describe the ground states of atomic two-electron systems. An analysis of the Z-expansions of the total energies associated with these functions leads to the concept of a class of variational functions. The performances of functions belonging to the same class differ only marginally, especially at larger values of Z. Consequently, the concept of class may be used to bring some order in the plethora of variational functions. © 1994 John Wiley & Sons, Inc.
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  • 142
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    International Journal of Quantum Chemistry 49 (1994), S. 63-66 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 143
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    International Journal of Quantum Chemistry 49 (1994) 
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  • 144
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    International Journal of Quantum Chemistry 49 (1994), S. 67-80 
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The screened-Coulomb exchange model used first in the Xα method and later on in Kohn-Sham density functional theory is reexamined. Based on the well-elaborated framework of the local spin-density approximation, we show that this model is not well suited when systems with a finite number of electrons are concerned, because it does not respect the pair-density sum rule. A proper modification of the model is proposed by reformulating it in terms of a screened-exchange hole and ensuring the sum rule for this hole. As a result, it is shown how the static screened exchange in finite systems is accompanied by a conjugate antiscreened one. The possible consequences of this effect on the application of the screened-Coulomb exchange model are discussed. © 1994 John Wiley & Sons, Inc.
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  • 145
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    International Journal of Quantum Chemistry 49 (1994), S. 81-86 
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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 formula of the coefficient aN-K of the eigenpolynomials connected with the zero-order term's coefficient of the eigenpolynomials corresponding the k-order-induced subgraph's molecular fragments has been induced. From this formula, aN-K can be calculated and the contributions of the induced subgraph's molecular fragments to the stability and reactivity of the molecules are revealed. © 1994 John Wiley & Sons, Inc.
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  • 146
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    International Journal of Quantum Chemistry 52 (1994), S. 879-901 
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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: Ground-state equilibrium geometries and hyperfine structures of a number of organic neutral and charged radical compounds are computed using the linear combination of Gaussian-type orbitals-density functional theory method. In addition to the local spin-density approximation, we also use two different nonlocal (gradient corrected) schemes for the calculations of the exchange and correlation potentials. The different functional forms are found to generate slightly different total and unpaired spin-density distributions in the molecules, and as a result, the computed isotropic hyperfine coupling constants vary markedly. The smallest variations are found for the hydrogens, where the results are generally in satisfactory agreement with experiment. For the carbon atoms, however, large differences in isotropic coupling constants are observed. The anisotropic hyperfine structures are generally very well described at all levels of theory. © John Wiley & Sons, Inc.
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  • 147
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    International Journal of Quantum Chemistry 49 (1994) 
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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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  • 148
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    International Journal of Quantum Chemistry 49 (1994), S. 309-320 
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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 shown that for a number of molecules there exists a Hammett-like equation for the chemical hardness or the HOMO-LUMO energy gap. Substituent effects can be factored out of the molecular hardness. Preliminary results show that a hardness substituent constant, similar to the Hammett σ-constant, can be defined and determined for each substituent. © 1994 John Wiley & Sons, Inc.
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  • 149
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    International Journal of Quantum Chemistry 49 (1994), S. 299-308 
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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 physics of a system is determined by a variation of the action integral, i.e., by a variation of the space-time volume integral of the Lagrange function. If one demands that the properties of an atom in a molecule be derived from physics, the atom must generate its own space-time volume, requiring that its boundaries be defined in real space. The variations in the action are related to the actions of generators of infinitesimal unitary transformations. In the general case, the action integral is altered by generators acting in both the spacelike and timelike surface bounding the space-time volume, whereas for a total isolated system, the physics is totally determined by their action in just the spacelike surfaces at the two time endpoints. It is shown and illustrated for a one-dimensional system that the definition of an atom corresponds to the possibility of choosing a subsystem in such a way that the contributions to the change in action resulting from the evolution in time of its spatial boundaries vanishes identically. The properties of these subsystems and of the total system of which they are a part are, therefore, determined by one and the same action principle. This choice of subsystem corresponds to the possibility of augmenting the Lagrange function by the divergence of the gradient of the electron density a step that, while leaving the equations of motion unchanged, modifies the generating operators in the required manner. © 1994 John Wiley & Sons, Inc.
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  • 150
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    International Journal of Quantum Chemistry 49 (1994), S. 321-342 
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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: With the density functional theory as the underlying framework, the modeling of the ground-state density p(r), using fragments or bonds as appropriate, is considered in both free molecules and in some condensed phases. Emphasis is placed on bringing the models into contact with both first-principles quantum mechanics and available diffraction experiments. Clusters of alkali metals are specifically referred to, since cluster science affords a bridge between the quantum chemistry of small molecules and condensed phases. Finally, amorphous silicon and both solid and liquid alkali metals are considered. © 1994 John Wiley & Sons, Inc.
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  • 151
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    International Journal of Quantum Chemistry 49 (1994), S. 353-361 
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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 spin virial theorem is derived in the density functional theory. The theorem establishes a relation between the differences of spin-up and -down kinetic and potential energies. The theorem is useful for checking the accuracy of spin orbitals. As an illustration, the example of the Xα method is studied. © 1994 John Wiley & Sons, Inc.
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  • 152
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    International Journal of Quantum Chemistry 49 (1994), S. 343-352 
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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 effect of the truncation errors resulting from the numerical integration on the accuracy of the calculation results in the DV-Xα method is analyzed and it is shown that evaluating the overlap integrals analytically or adopting orthogonalized basis sets can reduce the errors on the density matrices to the second order. An approach to improve the calculation accuracy of the total energy is proposed based on the error analysis. The calculation results for several molecules are presented to demonstrate the conclusion. © 1994 John Wiley & Sons, Inc.
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  • 153
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    International Journal of Quantum Chemistry 49 (1994), S. 363-369 
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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: Semiempirical MOPAC RHF/PM3 and BIRADICAL/PM3 calculations are performed on several selected analogs of the Neocarzinostatin chromophore. The critical distance parameter, heat of formation, and pertinent bond orders are reported for each model compound. Heats of reaction are also reported for the cyclization of several model compounds to their corresponding diradical products. It is suggested that 3.49 ÅR represents an upper bound to the critical distance in the cyclization of compound related to Neocarzinostatin chromophore. © 1994 John Wiley & Sons, Inc.
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  • 154
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    International Journal of Quantum Chemistry 49 (1994), S. 383-396 
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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: Structure and properties of Wheland's intermediates are studied in some model systems. The effect of the annelated small ring is simulated by bending two vicinal CH bonds in benzene toward each other. The extent of bending describes the ring-size effect of a small fused fragment molecule. The electrophilic substituent is represented by a proton. Calculations at the HF/6-31G* and MP2/HF/6-31G* levels of sophistication confirm the Mills-Nixon (MN) hypothesis. It is conclusively shown that ß-complexes are more stable than are α-protonated species. The results are interpreted in terms of the ground-state density distribution dictated by rehybridization and of the transition structure π-electron redistribution triggered by protonation. Their effects are additive to a large extent as far as CC bond distances are concerned. Energetic properties are determined by the interplay of two characteristic π-electron localization patterns, one caused by the initial angular strain and the accompanying rehybridization related to the ground state and the other one occurring during formation of the proton σ-complex. This interplay destabilizes α-intermediates relative to ß-intermediates. © 1994 John Wiley & Sons, Inc.
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  • 155
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    International Journal of Quantum Chemistry 49 (1994), S. 429-448 
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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 general Born-Oppenheimer Hamiltonian of an adsorbate is expressed with reference to an AO basis by means of the second quantization technique, and the part representing the in situ adcomplex (admolecule possibly involving adsorption site atoms) is decomposed so as to show how contributions of different effects can be separated. A basic reference Hamiltonian of the adcomplex is defined, and the suggestion is made that it essentially represents a molecular system susceptible of treatment in terms of ordinary localized bonds. This suggestion is shown to be valid for one thing in the highly unsaturated surface complex FeCO (compared with Fe5CO), provided maximum-localization hybrids are used as elements of the AO basis. The example treated has also been used to show how two kinds of effects can be introduced and discussed: inductive effects, which appear to result from hybridization and from feedback compensations to charge shifts, and charge transfer between the adcomplex and the surface. The proposed local (chemical) description of an adcomplex appears to be an extremely useful tool for describing such complex adsorbates as those associated with Fischer-Tropsch catalysts. © 1994 John Wiley & Sons, Inc.
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  • 156
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    International Journal of Quantum Chemistry 52 (1994), S. 1219-1228 
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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: Two cases of bilinear coupling of a particle to a medium are compared. They differ in that one of the mediums does not modify the particle potential, whereas the other does. Two corresponding kramers-type rate equations for adiabatic reactions are derived directly from a dynamic rate theory and interpreted from the view of the stochastic theory. Both equations become identical in the weak coupling limit. Their relations to transition-state theory are also discussed. Corresponding results for nonadiabatic reactions are considered. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 52 (1994), S. 1245-1245 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 158
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    International Journal of Quantum Chemistry 49 (1994), S. 591-600 
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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 dimensionally scaled generalization of constrained search density functional theory allows access to some simple model problems. These might be valuable for testing and perhaps improving conventional density functionals. One specific model problem is solved: When extrapolated to infinite numbers of spatial dimensions, the energy density functional for spherically symmetric, two-electron systems can be calculated to arbitrary accuracy. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 49 (1994), S. 581-589 
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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 diatomic charge density distribution function may be partitioned into free atom and delocalization components. Integrating the electrostatic force on one of the nuclei as the atoms join to bond yields a repulsive atom superposition energy Er(R) and an attractive delocalization energy Ed(R) which, when added, equal the Born-Oppenheimer potential energy, E(R). Bond stretch force constants may be calculated to quite good accuracy from the Poisson equation ▽R2E(R) = 4πZbpa(r = R), where Zb is the charge of nucleus b at a distance of R from nucleus a and pa is the charge-density distribution function of isolated atom a. This equation follows if the delocalization density component is rigid during molecular vibrations and Ed = c/R, where c is a constant. Ed(R) is well approximated by the change in orbital energy, δEMO(R), for the bond-forming reaction a + b → a - b as obtained from a modified extended Hückel procedure. The resulting E() = Er(R) + δEMO(R) generalizes immediately to polyatomic molecules and solids and can be used for the calculation of structures and other properties and their molecular orbital interpretation. The current understanding of the atom superposition and electron delocalization molecular orbital (ASED-MO) theory is presented in this article. It is pointed out that a parallel exists with the density functional theory, wherein the Born-Oppenheimer potential function may be constructed from energy points E(R) that are functionals of the molecular charge density distribution function. Calculations of molecular structures with density functional theory has also become possible only through the introduction of electron orbitals. However, the approaches are otherwise different, for density functional theory works with the total energy of the molecule and the ASED approach works with the molecular binding energy obtained by integrating the electrostatic force on a nucleus, which is zero for the isolated atoms. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 49 (1994), S. 613-623 
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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: Self-consistent Kohn-Sham density functional calculations have been carried out to study the structure of the ammonia dimer. The local-density approximation yields unusually large binding energy and short internitrogen distance compared with the experimental and more accurate theoretical data. The results from the Becke-Perdew gradient-corrected functionals are generally in good agreement with those at the SCF MP2 level when the geometry is fully optimized with various large basis sets. With our best estimation, the staggered quasi-linear structure (Cs) is 0.6 kcal/mol lower in energy than the symmetric cyclic one (C2h). The hydrogen-bonded N - H bond in the staggered quasi-linear structure is found to be 0.008 Å longer than the N - H bond in ammonia. In our calculations, we could not find the minima on the energy surface corresponding to the two asymmetric cyclic structures suggested by microwave spectra and coupled pair functional calculations. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 49 (1994), S. 601-612 
    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 a method closely related to configuration interaction over single excitations (CI-S) for the calculation of static dipole moments and polarizabilities, which we call modified configuration interaction over single excitations (MCI-S). This method allows for orbital relaxation through the inclusion of single excitations on a correlated first-order Rayleigh-Schrödinger wave function. An approximation to our MCI-S results in an inexpensive method to calculate polarizabilities that yields good results when compared with the full configuration interaction (CI-F) results. This method, called modified configuration interaction over single excitations without triple excitations (MCI-S_WT), seems particularly suitable to applications for large systems. Examples are presented using the intermediate neglect of the differential overlap model Hamiltonian (INDO/1), which indicates that the MCI-S_WT procedure presents an error of less than 15% with respect to the CI-F values in a fraction of the computational effort. © 1994 John Wiley & Sons, Inc.
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  • 162
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    International Journal of Quantum Chemistry 49 (1994), S. 657-674 
    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: By combining Hartree-Fock results for nonrelativistic ground-state energies of N-electron atoms with analytic expressions for the large-dimension limit, we have obtained a simple renormalization procedure. For neutral atoms, this yields energies typically threefold more accurate than the Hartree-Fock approximation. Here, we examine the dependence on Z and N of the renormalized energies E(N, Z) for atoms and cations over the range Z, N = 2 → 290. We find that this gives for large Z = N an expansion of the same form as the Thomas-Fermi statistical model, E → Z7/2(C0 + C1Z-1/3 + C2Z-2/3 + C3Z-3/3 + ⃛), with similar values of the coefficients for the three leading terms. Use of the renormalized large-D limit enables us to derive three further terms. This provides an analogous expansion for the correlation energy of the form δE δZ4/3(δC3 + δC5Z-2/3 + δC6Z-3/3 + ⃛); comparison with accurate values of δE available for the range Z ≤ 36 indicates the mean error is only about 10%. Oscillatory terms in E and δE are also evaluated. © 1994 John Wiley & Sons, Inc.
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  • 163
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    International Journal of Quantum Chemistry 49 (1994), S. 705-725 
    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 generalized nonlinear Schrödinger equation has been solved in order to understand how electronegativity and the covalent radius of an atom vary during a chemical reaction. The chemical reaction is modeled as an atom in an external field and also as an atom colliding with an ion. Temporal evolution of charge density, current density, and effective potential has also been studied for a better understanding of the process. © 1994 John Wiley & Sons, Inc.
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  • 164
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    International Journal of Quantum Chemistry 49 (1994), S. 675-703 
    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 states of reactants in the donor (base, B)-acceptor (acid, A) systems are examined and the charge transfer (CT) in situ sensitivities, including the chemical potential, hardness, softness, and Fukui function (FF) data, are derived within the atoms-in-molecules (AIM) resolution. Relaxational correction to the reactant CT FF vector is identified and qualitatively examined. The previously introduced intersecting state model (ISM) of the A-B systems is generalized beyond the N-restricted CT energy profile and formulated in terms of the intersecting energy paraboloids of reactants, within both uncoupled (qualitative) and coupled (quantitative) formulations; here, N is the total number of electrons. The model identifies the N-unrestricted reaction paths in the AIM electron population space, possible when the system can exchange electrons with its environment and generally corresponding to a lower activation energy. The orientation of the reactant FF vector as a function of the hardness tensor structure is qualitatively examined in a model system consisting of two populational degrees of freedom (2 df), and the resulting conclusions are used to examine the mutual orientation of the hardness ellipses of the 2 df reactants in the A-B systems. Predicted orientations and trends in activation barriers are discussed in the context of the hard-soft acids and bases principle. © 1994 John Wiley & Sons, Inc.
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  • 165
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    International Journal of Quantum Chemistry 52 (1994), S. 173-180 
    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: 1,3-Substituted-1,4-dihydropyridines easily add water to the 5,6-double bond in acid catalysis resulting in 6-hydroxy-1,4,5,6-tetrahydropyridines. The influence of various substituents in position C-5 and C-6 over the hydration of 1-methyl-1,4-dihydromethylnicotinate, used as a model compound, was investigated in the framework of the AM1 molecular orbital approximation. Since the rate-limiting step of the reaction is a proton transfer from the acidic species to the C-5 position of the substrate, calculated proton affinities (PA) were used as reactivity indexes. The results, in agreement with experimental evidences, indicated that electron-donating (+I) substituents increase the PA and destabilize 1,4-dihydropyridines towards hydration, while electron-withdrawing (-I) groups have the opposite effect. Calculated vertical ionization potentials (Ip) indicate that similary +I groups facilitate the one-electron oxidation, while -I groups stabilize the molecules toward this reaction. Several molecular properties derived from the principle of maximum hardness were also used for the investigation of the stability of the dihydropyridines. © 1994 John Wiley & Sons, Inc.
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  • 166
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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 have performed a conformational analysis of double-stranded (dA:pT)5 and triple-stranded (dA:pT · pT)5 helices for all possible variants of mutual orientation of oligoamide and oligonucleotide strands by means of AMBER 3.0. Computation results showed that the conformational flexibility of chimeric helices is practically like the DNA flexibility, although orientation of atoms around the amide bond is almost planar. cis- and trans-orientations are close in energy. Permissible changes in helical parameters of chimeric helices practically coincide with the corresponding parameters of double- and triple-stranded DNA helices. Double-stranded chimeric helices exhibit a tendency to twist accompanied by helical pitch decreasing. Three-stranded chimeric complexes, on the contrary, exhibit a tendency to unwinding. Energy gain of chimeric helices is noticeable. Thus, double-stranded chimeras are characterized by the energy of 20 kcal/mol per monomer unit lower than double-stranded DNAs. The energy gain of triple-stranded chimeric complexes is about 40 kcal/mol per monomer unit. There is qualitative correlation between the experimentally obtained enthalpy of chimeric complexes and their calculated potential energy. It fully explained the ability of oligoamides to interact with DNA following oligoamide strand invasion of the duplex through D-loop formation. The dependence of energy on mutual strand orientation in chimeric duplexes is weak. Energy penalty of duplexes with parallel orientation of 5′ → 3′ and N → C chain vectors is about 0,7 kcal/mol per monomer unit. The dependence of energy on mutual strand orientation in chimeric triplexes is much more appreciable. The most advantageous is parallel orientation of 5′ → 3′ and N → C vectors of Watson-Crick chains accompanied by antiparallel orientation of the Hoogsteen oligoamide chain. It was shown that the stability of double-stranded oligonucleotides may be increased as a result of oligoamide insert of three or four monomer units in one of the oligonucleotide chains. The length and base sequence in the insert allowed one to modulate the degree of duplex stabilization. It is important that such stabilization may be obtained without any distortion in vector character of nucleotide duplex formation. It is evident that this method of stabilization of helices is suitable also for triplexes. Moreover, in this way, one can overcome the difficulties connected with the low penetration ability of PNA in living cells. © 1994 John Wiley & Sons, Inc.
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  • 167
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    International Journal of Quantum Chemistry 52 (1994), S. 187-194 
    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 the low-temperature phosphorescencent probe 6-thioguanine was investigated. Structural transitions in some alcohols (ethanol, glycerol, propanediol) were obtained using this probe in the range 4.2-273 K. Aqueous solutions of native and denatured DNA and those of native DNA with propanediol and DMSO added were studied in the range of 4.2-273 K. The analysis of the luminescence spectra of DNA solutions permits the assumption of the energy transfer to the probe on UV radiation of DNA. © 1994 John Wiley & Sons, Inc.
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  • 168
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    International Journal of Quantum Chemistry 52 (1994), S. 209-214 
    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 transform index (FTm) is a unitary representation of a molecule based on a Fourier operation on the bond distance or graphical descriptor matrices of the structure while incorporating the atomic number of the constituent atoms. In a series consisting of phosphonates, phosphonothionates, and a phosphinate, the FTm gave an excellent linear correlation (R = 0.91) with experimentally determined octanol/water partition coefficients (log Po/w). In a second group containing phosphonofluoridates, thionophosphonofluoridates, and phosphoramidofluoridates, the FTm correlation with log Po/w, calculated by the π-fragment method, served to separate the fluoridates and amidates as structural subclasses. © 1994 John Wiley & Sons, Inc.This article is a U.S. Government work and, as such, is in the public domain in the United States of America.
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  • 169
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    International Journal of Quantum Chemistry 52 (1994), S. 215-225 
    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 consider the paradoxical situation arising in the standard multiple regression analysis in that as the standard error of prediction decreases by introduction of additional variables (descriptors) at the same time the standard error of the coefficients of the regression analysis increases, often to the point of the coefficients having no statistical validity. We trace the origin of this paradoxical situation to intercorrelation of the variables. A remedy to this curve-fitting paradox is in the introduction of orthogonal variables or descriptors. © 1994 John Wiley & Sons, Inc.
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  • 170
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    International Journal of Quantum Chemistry 52 (1994), S. 195-207 
    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: Chemical and biological damage, caused by directly or indirectly ionizing radiations, is attributable to the action of the charged particle tracks in the absorbing medium. Attempts to elucidate the biophysical mechanisms involved, and to quantify the damage, are typically made in terms of one or more of the main physical parameters descriptive of the charged particle tracks. To meet a need for a ready reference source of such information, tables of the relevant parameters have been calculated for a liquid water medium. The full tables are obtainable elsewhere. Here, a description is given of the quantities calculated and an extended example is given of their application in elucidating the physical mechanisms of radiation-induced biological damage. A representative selection of data is displayed graphically to illustrate the extent of the information obtained and its value in, e.g., application to fundamental radiation dosimetry. Track structure data is tabulated for instantaneous energies of individual particles and for the fluence and dose-weighted spectra at charged particle equilibrium. Data are listed for incident electrons (50 eV to 30 MeV); characteristic Kα X-rays from carbon to uranium; commonly used radioisotope sources of 241Am, 137Cs, and 60Co and for continuous X-ray spectra (≤300 kV); Auger electron and beta-emitter radionuclides; heavy charged particles having specific energies of 0.5 keV/μ to 1 GeV/μ for 74 ion types ranging from protons to uranium ions, and for monoenergetic neutrons (0.5 keV to 100 MeV). Quantities listed are kerma factors; fluence of charged particles per unit source concentration; buildup factors; track and dose-average LET and restricted LET; W values; z2/β2;β2; delta-ray yields, energies, and ranges; ion ranges; and the mean free path for primary ionization and the linear primary ionization. For indirectly ionizing radiations, the microdose quantities, frequency, and dose means of lineal energy are tabulated along with typical energy deposition distribution spectra for neutrons and gamma rays in micron and nanometer volumes. © 1994 John Wiley & Sons, Inc.
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  • 171
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    International Journal of Quantum Chemistry 52 (1994), S. 237-251 
    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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  • 172
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    International Journal of Quantum Chemistry 52 (1994), S. 315-338 
    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 ab initio theories of electronic and vibrational circular dichroism are presented in brief. For electronic circular dichroism, emphasis is placed on the derivation of optical rotatory strengths by the perturbative configuration interaction approach as implemented in the program PCI. An application to the chiroptical properties of the disulfide chromophore is described. In the infrared region, the ab initio vibronic coupling theory (VCT) of vibrational circular dichroism (VCD) as implemented in the program VCT90, is presented. The relationship to the ab initio magnetic field perturbation (MFP) formalism and an approximate locally distributed origin-gauge (LDO) model is described. The VCT and MFP formulations are compared in large basis set and electron correlated studies of the model system, NHDT, and the experimentally characterized molecule, 2,3-dideuteriooxirane. The LDO model of VCD is applied, together with NMR and molecular mechanics techniques, to the investigation of the conformations of the anticancer drug, taxol. Coupled oscillator models are introduced. Applications both in the area of electronic and vibrational circular dichroism, especially to the determination of secondary structures of proteins and nucleic acids are remarked upon. © 1994 John Wiley & Sons, Inc.
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  • 173
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    International Journal of Quantum Chemistry 52 (1994), S. 349-360 
    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 PM3 quantum-mechanical method has been used to study large water clusters ranging from 8 to 42 water molecules. These large clusters are built from smaller building blocks. The building blocks include cyclic tetramers, pentamers, octamers, and a pentagonal dodecahedron cage. The correlations between the strain energy resulting from bending of the hydrogen bonds formed by different cluster motifs and the number of waters involved in the cluster are discussed. The PM3 results are compared with TIP4P potential and ab initio results. The number of net hydrogen bonds per water increases with the cluster size. This places a limit on the size of clusters that would fit the Benson model of liquid water. Many of the 20-mer clusters fit the Benson model well. Calculations of the ion cluster (H2O)40(H3O+)2 reveal that the m/e ratio obtainable by mass spectrometry experiments can uniquely indicate the conformation of the 20 water pentagonal dodecahedron cage present in the larger clusters. © 1994 John Wiley & Sons, Inc.
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  • 174
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    International Journal of Quantum Chemistry 52 (1994), S. 379-393 
    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 CCSDT-1 method is used to calculate electric dipole, quadrupole, and octopole moments for the HF and H2O molecule and the F- anion, together with the associated higher-order polarizabilities. All multipole moments are computed as expectation values. Externally perturbed moments are used to determine the components of the electric tensors of second and higher order. It is shown that the correlated electric moments are in good agreement with experiment and that they may be used to obtain the electric polarizability and hyperpolarizability tensors in an effective way. © 1994 John Wiley & Sons, Inc.
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  • 175
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    International Journal of Quantum Chemistry 52 (1994), S. 199-210 
    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: Unrestricted Hartree-Fock calcuations coupled with second-order Møller-Plesset correlation correction were performed to study the structures and energetics of microlusters. For (BN)2, linear and rhombus forms are almost isoenergetic, whereas cyclic forms are preferable for (BN)3 and (BN)4 clusters. As a general trend, linear isomers prefer the triplet spin state, whereas cyclic isomers prefer the singlet spin state. Total charge density plots show a strong dominace of the B—N bond, indicating that the extent of its polar character becomes stronger with the increase in the cluster size. The loss of a BN monomer is shown to be the most likely fragmentation channel for both neutral and single-ionized clusters. We find that neutral (BN)n clusters have the same structural configurations as those of their corresponding C2n counterparts. This similarity follows the isoelectronic principle and is of importance due to recent interest in the investigations of BN fullerene analogs. © 1994 John Wiley & Sons, Inc.
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  • 176
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    International Journal of Quantum Chemistry 52 (1994), S. 611-624 
    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 first-principles quantum molecular dynamics scheme based on density-functional theory is used to investigate the finite-temperature properties of metallic hydrogen at density 2.7 g cm-3 (rs = 1), in particular to determine melting temperature, velocity autocorrelation functions below and above melting, and the temperature dependence of proton self-diffusion in the liquid phase. A strong deviation from the prediction of the one-component plasma model is found in the value of the melting temperature. Results of simulations of the molecular phase are also presented and found to be in agreement with previous work on dense molecular hydrogen. The scheme is based, for the modeling of the electrons, on time-dependent Schrödinger equations, coupled to classical equations of motion for the protons. All numerical results were obtained using a parallel computer, and an outline of the computer program implementation is presented. © 1994 John Wiley & Sons, Inc.
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  • 177
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    International Journal of Quantum Chemistry 52 (1994), S. 667-673 
    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: Self-consistent electronic subband structure calculations of periodic n-type delta (δ)-doped layers in Si and GaAs are performed within the local density-functional approximation. The behavior of the energy levels, potential profiles, miniband occupancies, and Fermi level position with the variation of the dopant concentration ND and the spacing between the δ-layers ds is examined for Si δ-doping in GaAs and Sb δ-doping in Si. The physical properties of these δ-doping structures show a strong dependence on ds, reflecting a transition from isolated delta-wells to superlattices as ds decreases. The crossover involving the change from a two-dimensional to three-dimensional behavior is discussed for both kinds of systems. © 1994 John Wiley & Sons, Inc.
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  • 178
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    International Journal of Quantum Chemistry 52 (1994), S. 655-666 
    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: Structures and energies have been calculated for HO, H2O, O2, HO2, H2O2, and O3 molecules using the nonlocal functionals PW, PW91, B-P86, and B-LYP with the goal of obtaining their atomization energies. Results were compared with those from highly correlated methods and experiment. It was found that all nonlocal functionals perform similarly to or better than correlated methods MP4 and QCI (using relatively equivalent basis sets). All nonlocal energies were self-consistently calculated using the optimized geometries for each functional. None of the results contain any empirical correction except those inherent to some of the functionals. Increasing the size of the basis set when using the nonlocal functionals does not lead to any significant improvement of the energies and surprisingly it worsens the results for one of the functionals. © 1994 John Wiley & Sons, Inc.
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  • 179
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    International Journal of Quantum Chemistry 52 (1994), S. 645-654 
    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 interaction of the CO2 molecule with a single palladium atom has been studied by means of a linear combination of Gaussian type orbitals-density functional (LCGTO-DF) method, as implemented in the code deMon. Local and nonlocal functionals were used. The core electrons of the palladium atom were represented by a model core potential, which includes relativistic effects. Several coordination modes of the CO2 moiety to the Pd atom were studied. They were fully optimized by allowing both electronic and structural relaxation. The calculations indicate a dihapto CO (η2-CO) coordination mode (or mixed Pd—C/Pd—O bonding), of Cs symmetry, as the one of lowest energy. There is a strong charge transfer from Pd to CO2, which produces a large structural change in CO2: It goes from a linear to a bent geometry. The calculated frequencies of CO2 in Pd—CO2 are 689, 1212, and 2018 cm-1 for the bending, symmetric, and asymmetric vibrational modes, respectively. These results agree reasonably with the observed frequencies of CO2 adsorbed on H2O/Pd(110) and Pd(111)/Na surfaces. The η2-CO structure is a likely candidate for the adsorption of CO2 on palladium surfaces, since the asymmetric mode is observed. This mode is dipole allowed in Cs symmetry but dipole forbidden in C2v. The monohapto C (η1-C) coordination mode, of C2v symmetry, was found to be a transition state, 2.2 and 8.4 kcal/mol, for the local and nonlocal levels, respectively, above the (η2-CO) minimum. The η2-O—O mode is not attainable for Pd—CO2; calculations started with this configuration converge to the η2-CO mode, the ground state. This is a quite different picture to that found for Ni—CO2, where the moiety is chemisorbed in the dihapto η2-O—O coordination mode. © 1994 John Wiley & Sons, Inc.
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  • 180
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    International Journal of Quantum Chemistry 52 (1994), S. 675-686 
    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 work functions and surface energies of Al(111) films ranging from one to seven layers thick have been calculated using the linear combinations of Gaussian type orbitals-fitting function (LCGTO-FF) technique, as implemented in the program package FILMS, an all-electron full-potential electronic structure method. Both quantities exhibit significant quantum size effect (QSE), in basic agreement with three previous investigations using more approximate techniques. However, there are significant quantitative differences among the four sets of results. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 52 (1994), S. 695-710 
    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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  • 182
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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: High-Tc superconductors (HTSCS) are usually obtained by doping electron donors or acceptors into parent materials. The actual role played by doping is still uncertain with various interpretations. The present electronic structure study provides some hints which may help to solve the mystery. © 1994 John Wiley & Sons, Inc.
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  • 183
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    International Journal of Quantum Chemistry 52 (1994), S. 867-877 
    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: Coordination compounds are usually symmetrical molecules with degenerate orbitals. Hence, the individual multiplet states arising from open-shell configurations can, in general, not be expressed by a single determinant. We have therefore exploited symmetry to the largest possible extent in order to simplify the relation between the multiplet splitting and single-determinant energies and thus developed a new method based on vector coupling to keep the computational effort to a minimum. A system of computer programs working on both mainframe and personal computers has been developed, carrying out for any desired point group the required group theoretical manipulations. The description of the method is illustrated by considering three practical examples. © 1994 John Wiley & Sons, Inc.
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  • 184
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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: Spin-polarized Xα-SW calculations of [Fe6(μ3-S)8(PH3)6]2+ as a model of the cluster [Fe6(μ3-S)8(PEt3)6] (BPh4)2 have been performed. The highest occupied energy levels are well separated from empty levels, and up to a maximum of eight electrons can be unpaired, giving a maximum spin state with S = 4. This electronic state is consistent with the magnetic data of [Fe6(μ3-S)8(PEt3)6](BPh 4)2, which have been interpreted using the Heisenberg-Dirac-Van Vleck exchange spin Hamiltonian. The S = 4 state arises from the magnetic coupling between five low-spin (Si = 1/2) and one intermediate-spin (S = 3/2) iron(III) center. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 52 (1994), S. 927-934 
    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 structure of cryolite is investigated with a theoretical approach based on LDF calculations. In fact, experimental techniques for structural studies are difficult to perform in cryolite melts because of hard experimental conditions (high temperature, corrosiveness, etc.). Use of the DMol software allows us to determine the stabilities and the vibrational frequencies of AlF63-, AlF52-, and AlF4- isolated complexes. The results obtained compared with published experimental works confirm that AlF52- should be considered in the dissociation scheme of cryolite as previously evidenced by other authors. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 50 (1994), S. 279-292 
    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 configuration interaction (CI) calculations have been performed for the O2 + H2 complex in a trapezoidlike collision arrangement with C2v symmetry. The potential energy surfaces of the four lowest states of this van der Waals complex (arising from the X3 Σg-, a1 Δg, and b1 Σg+ states of the oxygen moiety), as well as the collision-induced b1 Σg+ - a1 Δg electric dipole transition moment (Mb-a), have been analyzed for different CI expansions, using as a reference determinant the restricted open-shell Hartree-Fock (ROHF) function for the ground state of the complex H2(X1 Σg+) + O2(X3 Σg-). The geometry optimized at the ROHF/6-311G** level was refined by a partial optimization at the CI level scanning the intermolecular distance. The equilibrium distances for the X, a, and b states have been found to be a slightly different in the region 3.02-2.98 Å. The larger binding energy of the b1 Σg+ state (2.96 kJ/mol) in comparison with the a1 Δg (2.1 kJ/mol) and ground X3 Σg- states (1.35 kJ/mol) presumably could be explained as resulting from charge-transfer interactions. A good convergence of the calculated transition moment Mb-a for the larger CI expansions (approximately 50,000 configuration-state functions) has been obtained. The calculated collision-induced intensity of the b1 Σg+-a1 Δg and a1 Δg-X3 Σg- transitions in molecular oxygen are in reasonable agreement with recent experimental data for several foreign gases. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 50 (1994), S. 293-315 
    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 coefficients of fractional parentage (CFP), treated by tradition as antisymmetrizing multipliers, do not exist as such in the second-quantization representation, because, therein, by definition, there is nothing to antisymmetrize. This by no way means that the above-mentioned representation is less relevant in theoretical atomic spectroscopy than is any other one. On the contrary, all the well-known mathematical apparatus is still successfully applied, alongside with numerous new useful features. Moreover, the analysis presented here yields some results not so obvious from the point of view of the coordinate representation, namely, the consequent application of the second-quantization representation led us to an expansion of many-shell wave functions employing analogs of many-shell CFP, which appeared to be considerably simpler than the traditional CFP expansion. Also, a generalization of Redmond's formula for the case of many-shell CFP and a straightforward method of deriving summation rules for products of CFP are clear in the second-quantization representation and are sketched here. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 51 (1994), S. 105-112 
    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 influence of accepting the hydrogen bond by N(3) of adenine on the conformational preferences of the N(6) substituent in modified nucleic acid base N6-(N-glycylcarbonyl)adenine (gc6Ade) has been modeled by the protonation of N(3). The preferred orientation of the glycylcarbonyl substituent changes on the protonation of N(3). The preferred conformation for the N(3) protonated base is the planar, intramolecular bifurcated hydrogen-bonded structure involving the interaction of the ureido N(11)H with the N(1) of the purine and the O(13b) of the amino acid carboxyl. Another conformation of nearly equal stability, having the internal hydrogen bonding of O(13b) with the N(6)H, is also predicted. Such protonation or hydrogen-bonding-induced conformational flipping may enable the structural reorientation of the anticodon loop required for the functioning of tRNA. © 1994 John Wiley & Sons, Inc.
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  • 189
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    International Journal of Quantum Chemistry 51 (1994), S. 123-133 
    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 important duality problem of phase-space representations of quantum mechanics is discussed and the class of self-dual representations is established. It is shown that self-dual phase-space representations may be endowed with a Hilbert space structure resembling the standard picture of quantum mechanics. A stationary variational principle is then formulated, enabling one to solve eigenproblems of observables directly in phase space. A modified, more usable form of this variational principle is also given together with an example of practical application to the 1D Coulomb system. © 1994 John Wiley & Sons, Inc.
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  • 190
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    International Journal of Quantum Chemistry 51 (1994), S. 141-159 
    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 study of the dimer form of 1,3-dimethyluracil was carried out. The optimum geometric parameters in the monomeric and dimeric forms were obtained using the AM1 semiempirical method. The results were compared with those reported by X-ray diffraction. The energies in the dimer formation and in the intramolecular C—H···O interaction were calculated. Electronic density maps in two and three dimensions were drawn. Several calculated thermodynamic parameters are discussed. © 1994 John Wiley & Sons, Inc.
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  • 191
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    International Journal of Quantum Chemistry 51 (1994), S. 135-140 
    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 helium atom in its ground state, subject to strong magnetic fields, is treated using a variational method. Trial functions consisting of Gaussians with nonlinear parameters variationally optimized are used. The form of these functions is a generalized s-symmetry-state properly modified to admit spatial deformation along the direction on which the magnetic field is applied. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 51 (1994), S. 161-172 
    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 transition states for unimolecular HF elimination from a series of methylene halides and vinyl halides have been located and properly characterized at the AM1, MNDO, PM3, RHF/6-311G (d, p), and MP2/6-311G (d, p) levels. Whereas the semiempirical MO methods deal well with the structures of the stable molecules, the structural differences between the ab initio and semiempirical transition states are considerably larger. The AM1 and PM3 activation energies appear to be relatively more accurate. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 51 (1994), S. 173-180 
    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: Within the framework of the AMO-EHF approximation for the Hubbard model, it is shown that the band gap ΔE of an arbitrary regular alternant 1D π-system (polymer), having a singlet ground state, is different from zero, i.e., the ground state is a dielectric one. At least one of the three components of the energy gap - the topological, Δtop; the geometrical, Δgeom; or the correlation, Δcorr (combined via the equation ΔE = {Δcorr2 + (Δtop + Δgeom))2}1/2 - is different from zero. Numerical results for several 1D alternant polymers with conjugated π-systems are given. © 1994 John Wiley & Sons, Inc.
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  • 194
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    International Journal of Quantum Chemistry 51 (1994) 
    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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  • 195
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    International Journal of Quantum Chemistry 51 (1994), S. 181-186 
    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 eigenspectrum of a Möbius graph is a complete inversion of a Hückel graph for odd-numbered monocycles. For even-numbered monocycles, the Coulson-paired levels (xi, - xi) in a Hückel graph become the degenerate levels (x′1, x′1) in a Möbius graph. Here, we present the proof of a general theorem stating that the same eigenspectral relationship is found in a much wider class of graphs. © 1994 John Wiley & Sons, Inc.
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  • 196
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    International Journal of Quantum Chemistry 51 (1994) 
    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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  • 197
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    International Journal of Quantum Chemistry 51 (1994), S. 329-333 
    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 ground state of the 2D electron crystal is investigated using a localized representation for the electrons. Assuming a neutralizing background, calculation for a nonmagnetic electron crystal is performed. The areal electron densities corresponding to the crystallization for different rs values are computed and these are compared with the available experimental areal densities. An upper limit for the obtainable areal density has been predicted from our results. © 1994 John Wiley & Sons, Inc.
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  • 198
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    International Journal of Quantum Chemistry 51 (1994), S. 319-328 
    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 MS-LSD method remains a method of interest when rapidity and small computer resources are required; its main drawback is some lack of accuracy, mainly due to the muffin-tin distribution of the potential. In the case of large clusters or molecules, the use of an empty sphere to fill, in part, the large intersphere region can improve greatly the results. Calculations bearing on C60 has been undertaken to underline this trend, because, on the one hand, the fullerenes exhibit a remarkable possibility to fit a large empty sphere in the center of the cluster and, on the other hand, numerous accurate calculations have already been published, allowing quantitative comparison with our results. Our calculations suggest that in case of added empty sphere the results compare well with the results of more accurate calculations. The calculated electron affinity for C60 and C60- are in reasonable agreement with experimental values, but the stability of C602- in gas phase is not found. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 51 (1994), S. 345-356 
    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: Among the methods that may be used to carry out multicenter integrals over STOS, the one-center two-range expansion is probably the oldest one. However, the convergence of the leading series is generally slow and, hence, time-consuming. Therefore, it was the aim of the present work to show that the so-called nonlinear sequence transformations may be of substantial help for improving the rate of convergence of such series. © 1994 John Wiley & Sons, Inc.
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    International Journal of Quantum Chemistry 51 (1994), S. 369-388 
    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: The general theoretical background for solving approximately the contracted Schrödinger equation (CSchE) in a self-consistent (SC) way has recently been proposed [F. Colmenero and C. Valdemoro, Phys. Rev. A 47, 979 (1993)]. Here, a spin-free procedure is developed and the convergence of the SC iterative process is analyzed using as test cases the beryllium atom and four isoelectronic ions in their ground states. Damping and extrapolation procedures are employed to improve and accelerate the convergence. The results obtained are in very close agreement with those obtained by means of the full configuration-interaction (FCI) method. © 1994 John Wiley & Sons, Inc.
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