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  • 1
    ISSN: 0948-5023
    Keywords: Gas phase ion pairs ; Multiple proton exchange ; Ab initio calculations ; Density functional calculations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract High level ab initio and density functional calculations, extrapolated to QCISD(T)/6-311+G(3df,2p)//MP2/6-31+G**+ZPE, reveal that cyclic ion pairs can form in the hydrogen bonded complexes of haloboric acids BHnX3-n–HX, X=F, Cl, with Lewis bases HX, H2O, CH3OH, and NH3, even in isolation (e.g., in the gas phase). The intrinsic acidities (deprotonation energies) required for protonation of these bases with formation of gas phase ion pairs are calculated to be 〈295 kcal/mol for water, 〈301 kcal/mol for methanol, and 〈306 kcal/mol for ammonia; such values are common for acidic sites in zeolites. All gas phase ion pairs prefer symmetric bidentate or tridentate structures. In the other cases where hydrogen bonded complexes prevail, symmetric ion pair-like transition structures for multiple hydrogen exchange are computed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 105 (2000), S. 145-155 
    ISSN: 1432-2234
    Keywords: Key words: Potential-energy surface ; Reaction-path following ; Saddle point ; Reduced gradient ; Gradient extremal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. A simple procedure with low computational efforts is proposed to follow the reaction path of the potential-energy hypersurface (PES) starting from minima or saddle points. The method uses a modification of the so-called “following the reduced gradient” [Quapp W, Hirsch M, Imig O, Heidrich D (1998) J Comput Chem 19:1087]. The original method connects points where the gradient has a constant direction. In the present article the procedure is replaced by taking iterative varying directions of the gradient controlled by the last tangent of the searched curve. The resulting minimum energy path is that valley floor gradient extremal (GE) which belongs to the smallest (absolute) eigenvalue of the Hessian and, hence, that GE which usually leads along the streambed of a chemical reaction. The new method avoids third derivatives of the PES and obtains the GE of least ascent by second-order calculations only. Nevertheless, we are able to follow the streambed GE uphill or downhill. We can connect a minimum with its saddles if the streambed leads up to a saddle, or we find a turning point or a bifurcation point. The effectiveness and the characteristic properties of the new algorithm are demonstrated by using polynomial test surfaces, an ab initio PES of H2O, and the analytic potentials of Lennard-Jones (LJ) clusters. By tracing the streambeds we located previously identified saddle points for LJ N with N=3, 7, 8, and 55. Saddles for LJ N with N=15, 20, and 30 as presented here are new results.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-2234
    Keywords: Protonated olefins ; Carbenium and Carbonium type ions, existence and stability of ∼ ; Solvation influence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The calculation of carbenium and carbonium type cations resulting from the protonation of olefins with growing length and increasing chain branching was carried out by quantum chemical methods which were tested elsewhere. One result is the distinction of olefins with an equal number of alkyl substituents on both sides of the double bond and other ones with different number. In the latter case generally no bridged structures could be defined. The influence of nucleophilic solvents on the stability of the cationic structures is simulated on the basis of Klopman's solvaton model. These calculations show that solvents may change the gas phase data in a remarkable way.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 70 (1986), S. 89-98 
    ISSN: 1432-2234
    Keywords: Potential energy surface ; Theory of chemical reactivity ; Saddle points of index 2 ; Descent and decomposition vectors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract After a general characterization of “second order” saddle points two boundary cases are derived and illustrated by examples. The utilization of the classification is pointed out. One type, the virtual saddle point of index 2 (V-SP 2), may be understood as “geometrical” superposition of two saddles of index 1 (transition structures) which belong to relatively independent processes within the chemical system.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1432-2234
    Keywords: Key words: Three-dimensional potential energy surface ; Reaction path bifurcation ; Valley-ridge inflection ; Reduced gradient following ; Gradient extremal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. This paper serves for the better understanding of the branching phenomenon of reaction paths of potential energy hypersurfaces in more than two dimensions. We apply the recently proposed reduced gradient following (RGF) method for the analysis of potential energy hypersurfaces having valley-ridge inflection (VRI) points. VRI points indicate the region of possible reaction path bifurcation. The relation between RGF and the so-called global Newton search for stationary points (Branin method) is shown. Using a 3D polynomial test surface, a whole 1D manifold of VRI points is obtained. Its relation to RGF curves, steepest descent and gradient extremals is discussed as well as the relation of the VRI manifold to bifurcation points of these curves.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 66 (1984), S. 245-260 
    ISSN: 1432-2234
    Keywords: Potential energy surface ; role of coordinate system ; path of steepest descent ; curvilinear coordinates ; mass weighted coordinates
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Some confusion regarding the properties of minimum energy paths is evident in the literature. We show that a way of steepest descent on a potential surface can be defined independently upon the choice of the coordinate systems. The result is applied to mass-weighted coordinates and their use is critically reviewed. Fukui's IRC appears to be a special case of the steepest descent path starting from a saddle point. The impossibility to define a general ascent path is illustrated and the relations of IRC to real trajectories are discussed.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 14 (1993), S. 1149-1163 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: High-level ab initio calculations {QCISD(T)/6-311 +G**//MP2(fu)/6-31 +G**, with corrections for higher polarization [evaluated at MP2/6-311 +G(3df,2p)] and ΔZPE//MP2(fu)/6-31 +G**, i.e., comparable to Gaussian-2 theory} indicate concerted mechanisms for double- and triple-hydrogen exchange reactions in HF and HCl dimers and trimers, in mixed dimers and trimers containing one NH3, and in mixed dimers of HF, HCl, and NH3 with formic acid. All these reactions proceed via cyclic four- or six-center transition structures, the latter being generally more favorable. Calculated activation barriers (ΔHd̊ at 0 K, kcal/mol) are 42.3 for (HF)2, 20.3 for (HF)3, 41.2 for (HCl)2, 25.6 for (HCl)3, 36.0 for NH3-HF, 10.6 for NH3(HF)2, 19.9 for NH3-HCl, 2.3 for NH3(HCl)2, 9.7 for HCO2H-HF, 7.0 for HCO2H-HCl, and 11.3, for HCO2H-NH3. The barriers are lower for the more ionic systems and when more ion pair character is present. © John Wiley & Sons, Inc.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 9 (1988), S. 810-818 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this article, a modification of a procedure proposed by Zirrilli et al. for solving nonlinear equations is presented. The method permits the computation of minima and saddle points of energy functionals. The Müller-Brown test potential and the quantum chemical description of some proton transfer reactions are given as examples.
    Additional Material: 10 Tab.
    Type of Medium: Electronic Resource
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  • 9
    ISSN: 0173-2803
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 19 (1998), S. 1087-1100 
    ISSN: 0192-8651
    Keywords: saddle point ; distinguished coordinate ; valley-ridge inflection point ; H2CO potential energy surface ; HCN⇌CNH isomerization ; azidoazomethine⇌1H-tetrazole isomerization ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The old coordinate driving procedure to find transition structures in chemical systems is revisited. The well-known gradient criterion, ∇E(x)=0, which defines the stationary points of the potential energy surface (PES), is reduced by one equation corresponding to one search direction. In this manner, abstract curves can be defined connecting stationary points of the PES. Starting at a given minimum, one follows a well-selected coordinate to reach the saddle of interest. Usually, but not necessarily, this coordinate will be related to the reaction progress. The method, called reduced gradient following (RGF), locally has an explicit analytical definition. We present a predictor-corrector method for tracing such curves. RGF uses the gradient and the Hessian matrix or updates of the latter at every curve point. For the purpose of testing a whole surface, the six-dimensional PES of formaldehyde, H2CO, was explored by RGF using the restricted Hartree-Fock (RHF) method and the STO-3G basis set. Forty-nine minima and saddle points of different indices were found. At least seven stationary points representing bonded structures were detected in addition to those located using another search algorithm on the same level of theory. Further examples are the localization of the saddle for the HCN⇌CNH isomerization (used for steplength tests) and for the ring closure of azidoazomethine to 1H-tetrazole. The results show that following the reduced gradient may represent a serious alternative to other methods used to locate saddle points in quantum chemistry.   © 1998 John Wiley & Sons, Inc.   J Comput Chem 19: 1087-1100, 1998
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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