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  • 1995-1999  (1.582)
  • 1996  (1.582)
  • Engineering General  (686)
  • Inorganic Chemistry  (602)
  • Theoretical, Physical and Computational Chemistry  (294)
Materialart
Erscheinungszeitraum
  • 1995-1999  (1.582)
Jahr
  • 1
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The kinetics of the reaction between 1-chloro-2,4-dinitrobenzene and piperidine was studied in several completely non-aqueous binary solvent mixtures where the preferential solvation is the rule at 15, 25 and 40°C. The reaction was chosen as the simplest example of aromatic nucleophilic substitutions (ANS). For (aprotic solvent + aprotic co-solvent) binary systems the co-solvent was toluene, and the rest of the solvents used were selected with different structural characteristics and an extensive range of polarity. In this kind of mixture a property of mixed binary solvents would be defined by means of ET(30) values and the solvent effects on this simple model of ANS reactions are similar to those of aprotic pure solvents, especially if hydrogen-bond donor solvent mixtures are excluded from the analysis. For (aprotic solvent + protic co-solvent) binary systems the co-solvent used was methanol. The presence of a protic solvent in the mixture strongly determines the solvent effects on the reaction. In this type of binary mixture, the chemical probe under consideration may not be generally valid to interpret solvation effects. Additionally, empirical solvent polarity parameters ET(30) were determined UV-VIS spectrophotometrically for some pure aprotic solvents and, as a function of the composition, for (dimethylformamide + toluene), (toluene + methanol) and (1,1,1-trichloroethane + methanol) at 15 and 40°C, with the purpose of extending the studies on the empirical polarity indices in binary solvent mixtures to the thermo-solvatochromic area.
    Zusätzliches Material: 6 Ill.
    Materialart: Digitale Medien
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  • 2
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A theoretical study of the catalytic mechanism of lactate dehydrogenase enzyme on different model systems was carried out with the help of the PM3 semi-empirical procedure and an ab initio method at the 4-31G and 6-31G** basis sets at a Hartree-Fock (HF) level of theory.The geometry, transition vector (TV) and electronic structure of the transition structure (TS) for the acid-catalysed hydride reduction were obtained. The dependence of these properties on the computing method and model system is analysed and discussed. Proton transfer is much more advanced than hydride transfer occurring in roughly perpendicular planes. All the TSs render very similar structural features, the control of the chemical reaction being associated with the hydride transfer process. A comparison among simple and sophisticated molecular models shows that the TS seems to be structurally a rather robust entity. There is a minimal molecular model with a TS which describes the essentials of the chemical interconversion step in a given enzyme mechanism and the corresponding TV is an invariant feature.
    Zusätzliches Material: 11 Ill.
    Materialart: Digitale Medien
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  • 3
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 507-513 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Adamantane and 1,3,5,7-tetradeuterioadamantane were oxidized by RuO4 in two solvent systems, CCl4-CH3CN-H2O and acetone-water, yielding two kinetic deuterium isotope effects (KIEs), 4·8 ± 0·2 and 7·8 ± 0·1, respectively, very similar to those obtained in analogous reactions with cis-decalin and perdeuterio-cis-decalin, 4·8 and 6·8. These results were interpreted as primary KIEs and small or negligible secondary KIEs. From this, sp2-hybridized intermediates were not involved in the reaction path. The kinetic effect of the solvent was investigated by performing the reaction in aqueous acetone and acetonitrile. The rates were correlated with Grunwald-Winstein Y values and with Reichardt ET (30) values. Both correlations showed the reaction to be only moderately dependent on the solvent polarity. 1-Substituted adamantanes were oxidized in CCl4-CH3CN giving a Taft ρ* value of -2·5 ± 0·1. These results were regarded as support for a reaction consisting of a pre-equilibrium with formation of a substrate-RuO4 complex followed by a rate-determining concerted reaction. The results did not support a reaction mechanism with a carbocation or radical intermediate, or a scheme with two competing reactions, one with a carbocation intermediate and the other with a concerted mechanism.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 4
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The product ion distributions and rates of the gas-phase reactions of two series of (radical) anions with chloro- and bromomethanes (CH3Cl, CH2Cl2, CHCl3, CCl4, CH3Br, CH2Br2, CHBr3 and CBr4) were determined with the use of Fourier transform ion cyclotron resonance (FT-ICR) mass spectrometry. The first series consists of anions (HO-, CH3O-, C2H5O-, C3H7O- and CH3S-), for which the corresponding neutral radicals have a relatively high electron affinity (EA 〉 150 kJ mol-1). The second series consists of (radical) anions (CH2S-·, CH2(DOUBLE BOND)CHCH2-, CH2(DOUBLE BOND)C(CH3)CH2-, C6H4-· and C6H5-), for which the corresponding neutral species have a relatively low electron affinity (EA ≤ 100 kJ mol-1). These (radical) anions react mainly with the halomethanes to afford (i) halide ions, (ii) halomethyl anions with the same number of halogen atoms as in the parent halomethane and (iii) halomethyl anions with one halogen atom less than the parent substrate. The last process involves nucleophilic attack on a halogen atom and is particularly important in the reactions with substrates containing three or four halogen atoms. The halide ions may arise by a number of different pathways, such as SN2 substitution, α-elimination, halogen attack followed by dissociation of the thus formed halomethyl anion and overall dissociative electron transfer. The SN2 process is held responsible for the formation of halide ions in the reactions with monohalomethanes, whereas α-elimination is likely to be of importance only for the reactions with trichloro- and tribromomethanes. Attack on a halogen atom followed by dissociation of the ion generated initially is likely to be important if CCl4 or CBr4 is the substrate. Electron transfer is only a dominant pathway in the reactions of the CH2S-· ion with the halomethanes. The occurrence of electron transfer in the reactions of this ion with CHCl3, CCl4 and CHBr3 is evidenced by the formation of minor amounts of stable halomethane radical anions in addition to the generation of CH2SCl- or CH2SBr- ions and abundant halide ions. The interplay between the various possible reactions is discussed on the basis of thermodynamic considerations and the rates of the overall processes.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
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  • 5
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 583-587 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: 3-Chloro-2,2-dimethylpropan-1-ol was pyrolysed in a static system at 410·0-459·1 °C and 62-179 Torr. The reaction, in a seasoned vessel and in the presence of the free radical suppressor propene, is homogeneous, unimolecular, and follows a first-order rate law. The rate coefficient follows the Arrhenius equation: log k1 (s-1) = (13·14±0·15) - (218·8 ± 2.1) kJ mol-1 (2·303RT)-1. The products are isobutene, formaldehyde and HCl gas. The exclusive intramolecular migration of the CH2OH group to the positively charged carbon atom, from the C(SINGLE BOND)Cl bond polarisation, appears to proceed by way of an intimate ion-pair type of mechanism. The intermediate 3-methylbut-3-en-1-ol, under the reaction conditions, undergoes a six-centered decomposition characteristic of β-hydroxyalkenes to produce isobutene, formaldehyde and HCl. The pyrolysis of the deuterated substrate, 3-chloro-2,2-dimethylpropan-1-[2H]ol, serves to support the mechanistic consideration assumed above.
    Zusätzliches Material: 7 Tab.
    Materialart: Digitale Medien
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  • 6
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Geometries of secondary and tertiary benzylic cations, which have bulky substituents at α positions, were optimized by ab initio MO calculations at the RHF/6-31G* and, in part, MP2/6-31G* levels. Calculated øcalc, which is the dihedral angle of the α-C (SINGLE BOND) C bond with respect to the aromatic plane, is compared with the relative resonance demand r/rmax obtained from solvolysis reactivity and also cation stability; r and rmax are the resonance demand in the Yukawa(SINGLE BOND)Tsuno equation for any given system examined and the corresponding ideal full-resonance stabilized demand, respectively. The results suggest that there is a close relationship between the experimental and calculated relative resonance demands expressed by r/rmax = cos2 øcalc, which is suggested by HMO theory for the resonance interaction in the benzyl cation. Thus the r value is a good parameter indicating the degree of resonance interaction between benzylic 2p π-orbital and the benzene π-system.
    Zusätzliches Material: 10 Ill.
    Materialart: Digitale Medien
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  • 7
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: To probe regioselectivity in Meisenheimer complexation, the reaction of two picryl halides (PiX where X = F, Cl) with a series of aryloxide nucleophiles (phenoxide, 2,4,6-trimethylphenoxide and 2,6-di-t-butylphenoxide) were monitored by 1H NMR spectroscopy in dimethyl sulphoxide at ambient temperature and in acetonitrile-dimethoxyethane(MeCN-DME) at low temperature (-40°C). The reactions of both picryl halides with the ambident (oxygen versus carbon) nucleophile, phenoxide ion (PhO-), and 2,4,6-trimethylphenoxide (mesitoxide, MesO-) leads to clean SNAr displacement of X via the oxygen site of the nucleophile to form the respective aryl picryl ethers, i.e. phenyl picryl ether (3a) and mesityl picryl ether (3b). Meisenheimer complex formation at C-1 or C-3 was not detected in these systems. With 2,-6-di-t-butylphenoxide (2,6-DTBPhO-), where oxygen attachment of the aryloxide is precluded by the bulky ortho t-butyl groups, para-carbon attachment was found to occur at C-1 to give picryl 2,6-di-t-butylphenol (3d) in competition with C-attack at C-3 to give the respective carbon-bonded Meisenheimer complexes [X = Cl (4) and X = F (5)]. For both picryl halides, the ratio of 3d, the product of C-1 attack, to the product of C-3 attack, 4 or 5, was roughly 7:1. These findings are considered with regard to the nucleofugality of the halide, X, steric hindrance (F-strain) to attack by the aryloxides at the various positions and stereoelectronic stabilization of C-1 adducts afforded by n → σ* donation.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 8
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996) 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Materialart: Digitale Medien
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  • 9
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 593-597 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A study of the acid-base behaviour of the three isomeric pyridinecarboxylic acids (picolinic, nicotinic and isonicotinic acid) was carried out using spectrophotometric and potentiometric measurements. The cationic form of picolinic acid converts partially into the corresponding zwitterion (pK1) within a borderline acidity range where neither the pH scale nor the acidity functions work satisfactorily. Protonation of the carboxyl groups (pK33) occurred at the highest acidity levels employed. The medium effects observed on the spectral curves were corrected by factor analysis. The potentiometric measurements gave values for pK1 and pK2 only, which were in good agreement with those determined spectrophotometrically.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 10
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The crystal structure at 200 K of the complex formed by the optically active host (R,R)-(-)-trans-4,5-bis(hydroxydiphenylmethyl)-2,2-dimethyl-1,3-dioxolane (2) and 4-nitro-5-methylpyrazole (1b) and toluene as guests was determined by x-ray analysis. Although only the NH protons corresponding to tautomer 1b were found in the structure, some anomalies in the bond angles involving the nitrogen atoms of the pyrazole ring suggested the presence of about 25% of a structure containing the 3-methyl-4-nitropyrazole tautomer (1a). This hypothesis was confirmed by 13C cross polarization magic angle spinning NMR spectroscopy.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 11
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 619-622 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Photolysis of (dimethylphenylsilyl)(trimethylsilyl)diazomethane in t-BuOH yielded three different t-BuO-substituted (silylalkyl)silanes. The migratory aptitude of substituents from the silicon atoms to the carbenic center was found to be in the order Ph: Me (on phenyl-substituted Si):Me (on TMS) = 3·8:1·0:1·0, the opposite of that reported for monosilylcarbenes. The photolysis of (1-phenyl-1-silacyclobutyl)(trimethylsilyl) diazomethane gave two silyl-substituted silacyclobutanes and one ring-expanded silacyclopentane. Again, the migratory aptitude of substituents was in the order Ph: ring-methylene: Me = 4·5:1·4:1·0, showing that the ring shifts faster than Me and also Ph shifts faster than any alkyl substituent.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 12
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 598-610 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Biphenyl-2-ylcarbenes, 2-ArC6H4CR, were generated photolytically and thermally from diazo precursors. Cyclization, leading to fluorenes, competes with capture of the carbenes by methanol but proceeds faster than intramolecular hydrogen shifts (with R = Me) and intermolecular C(SINGLE BOND)H insertion reactions (with R = H in cyclohexane). By comparison of product ratios with kinetic data for related carbenes from the literature, the cyclization rate is estimated as ca 1011s-1. The intramolecular reactivity of biphenyl-2-ylcarbenes is not significantly attenuated by variation of R (R = H, Me, Ph). Very minor effects of triplet sensitization and methanol quenching indicate that fluorenes arise from spin-equilibrated biphenyl-2-ylcarbenes, presumably from the singlet state. When Ar = mesityl, the carbene predominantly inserts into C(SINGLE BOND)H bonds of the 2′-methyl groups, giving rise to a dihydrophenanthrene. Formation of a fluorene derivative, by formal insertion into C(SINGLE BOND)C bonds, occurs as a minor process. This unprecedented reaction points to intervention of an o-xylylene in which the methyl group migrates. Laser flash photolysis (LFP) of 2-PhC6H4CN2Ph generates a transient absorption which is due to the T0 → Tn transition of 9-phenylfluorene rather than to the presumed o-xylylene. On LFP of 2-ArC6H4CN2Ph in trifluoroethanol-acetonitrile, protonation of the carbenes gives rise to carbocations, 2-ArC6H4CH+Ph. The transient absorption spectra of these cations are strongly influenced by twisting about the Ar(SINGLE BOND)Ar bond (Ar = Ph 〈 o-tolyl 〈 mesityl) whereas the rates of nucleophilic capture vary only slightly. Biphenyl-2-ylcarbenium ions (Ar = R = Ph) cyclize more slowly than the analogous carbenes, by a factor of ≥104.
    Zusätzliches Material: 9 Ill.
    Materialart: Digitale Medien
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  • 13
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 781-786 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: 13C and 15N NMR data are reported for two substituted nitronaphthalenes 1,8-bis(4-toluenesulphonamido)-2,4,7-trinitronaphthalene and 1,8-bis(4-toluenesulphonamido)-2,4,5,7-tetranitronaphthalene and their salts with 1,8-dimethylaminonaphthalene. The salts are shown to contain NHN+ and NHN- intramolecular hydrogen-bonded systems in CD3CN solutions, in agreement with x-ray diffraction data on solid samples and 1H NMR studies on solutions. Examples are given of both a symmetrical and an unsymmetrical bonding system for the NHN atoms. 15N NMR is shown to be particularly helpful in these studies, both 15N shielding and 1J(15N, 1H) couplings are of value. Additional assistance is obtained from 3J(13C9, N1H) data. © 1996 John Wiley & Sons, Ltd.
    Zusätzliches Material: 1 Ill.
    Materialart: Digitale Medien
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  • 14
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 66-78 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Ab initio calculations at both the Hartree-Fock and Møller-Plesset (MP2) levels of theory utilizing various basis sets were carried out on propargyl alcohol and its derivatives. The results of these calculations were used in conjunction with available experimental data in the formulation of an MM3 force field for these compounds. The energetic data obtained via the ab initio calculations were modeled well within the MM3 formalism, and are in agreement with the experimental results to within 1 kcal mol-1. For those structural parameters which were the focus of this study, the calculated results agreed well with existing experimental and ab initio data. The vibrational frequencies are also in good agreement with only small deviations in a few modes of methyl propargyl ether and propargyl fluoride.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
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  • 15
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: This paper reports a theoretical approach based on ab initio calculations for the evaluation of intrinsic reaction constants of resonance, field/inductive and polarizability effects of compounds subject to protonation. Field/inductive and polarizability constants can be evaluated from direct relationships between δΔEp and intrinsic contributions of the substituent. On the other hand, resonance constants should be estimated from relationships between the proton charge in the protonated molecular form and the intrinsic contributions of the substituent. It is also shown that during a protonation process the change in π charge of the carbon atom that is to bear the substituent should be the most suitable index for determining the π-electron demand of the structure concerned.
    Zusätzliches Material: 4 Ill.
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  • 16
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 105-110 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The oxidation of several monosubstituted phenoxyacetic acids by pyridinium hydrobromide perbromide (PHPB) was studied in aqueous acetic acid. The reaction is first order with respect to PHPB. Michaelis-Menten-type kinetics are observed with respect to phenoxyacetic acids. The oxidation of [2,2-2H2]phenoxyacetic acid exhibits a substantial kinetic isotopic effect. The effect of solvent composition indicates that the transition state is more polar than the reactants. The formation constants of the intermediate phenoxyacetic acid-PHPB complexes and the rates of their decomposition were determined at different temperatures. The rates of oxidation of para- and meta-substituted phenoxyacetic acids were correlated with Hammett's substituent constants. The ρ value is -2·59 at 35°C. The rates of oxidation of ortho-substituted compounds are correlated with Charton's triparametric equation. A mechanism involving transfer of a hydride ion from the substrate to the oxidant is proposed.
    Zusätzliches Material: 1 Ill.
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  • 17
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 119-127 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The conformational space of the 2-cyano-1,1-dihydroxyethane molecule was studied at the semi-empirical PM3 level and ab initio MP2/6-31G**//6-31G level in the gas phase and in a low-polarity medium. This system has been chosen as a model compound for 2-cyanocyclohexanone propylene and ethylene acetals. This has allowed the study of the role of polar groups on the relative conformation of two adjacent OH groups, which is of interest also in relation to the anomeric effect in carbohydrate chemistry. Solvent effects are taken into account using a continuum model with general cavity shapes.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 18
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 111-118 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A spectrofluorimetric titration analysis of the proton dissociation and the interactions of human serum transferrin with hydrogencarbonate was performed at pH 7·0-9·0. Apotransferrin loses a single proton probably per binding site with Ka = (6·80 ± 0·35) × 10-9 M. This proton dissociation is independent of the hydrogencarbonate concentration. Apotransferrin does not interact with CO32-. However, it interacts with two HCO3-, exhibiting two different affinity constants; the dissociation constant presumably for the C-site is KC = (4·40 ± 0·15) × 10-3 M and that for presumably the N-site is KN = (3·60 ± 0·30) × 10-2 M. These interactions are independent of pH and occur with the unprotonated and protonated apotransferrin species with the same low affinities. Such affinities are probably induced by ionic interactions involving the side chain of the arginine residues in each of the two binding sites. As for the proton dissociation, it can occur with one of the other side-chains of the amino acid residues of these binding sites.
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
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  • 19
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A series of 23 bridgehead-substituted bicyclo[1.1.1]pentanes were synthesized and the 3J(C1-H) coupling constants determined from their proton-coupled 13C NMR spectra. It was found that the values of the couplings are strongly dependent upon the type of substituent present, with powerful effects exerted by the halogens in particular. The IPPP-CLOPPA-INDO theoretical approach, which was employed to provide a measure of the extent of through-bond versus through-space transmission of coupling information, was found to give 3J(C1-H) values in good agreement with experimental data. Empirical substituent parameter regressions were performed and found to be consistent with the CLOPPA description of the increase in both the through-bond and through-space contributions to the coupling. The substituent parameter regressional analyses also demonstrated that electronegativity effects play a predominant role in determining the magnitude of the couplings, particularly in those substrates in which the substituent is attached to the ring system by a second-row element.
    Zusätzliches Material: 4 Ill.
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  • 20
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The molecular and crystal structures of two crystalline forms of hexa(pyrazol-1-yl)benzene were determined by x-ray analysis. They correspond to two conformational polymorphs: form I is obtained in acetic acid and form II in ethanol or dichloromethane. The crystal packing of both conformers is different; however, that of form I is analogous to that of hexa(3,5-dimethylpyrazol-1-yl)benzene, having similar cell dimensions and space groups R-3. No significant interactions except the van der Waals interactions were observed. Semiempirical calculations at the AM1 and SAM1 levels, exploring all possible conformations of the pyrazole rings, reveal that the most stable conformation presents the pyrazole rings with the N(2) alternating between both sides of the phenyl plane as it occurs in the solid state, crystalline form I (conformation 8h). The computed minimum energy for conformer 7a, which is related to crystal form II, presents a different sequence of pyrazole arrangements [N(2) up or down] and is only 1·6-2·0 kcal mol-1 less stable than the previous one in both parametrizations. The SAM1 method yields pyrazole moieties more perpendicular to the benzene ring than the AM1 one.
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
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  • 21
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A theoretical study on the structures and internal rotations of methyl N,N-dimethylcarbamate and its sulphur, selenium and tellurium homologues [Me2NC(O)YMe, 1 (Y = O), 2 (Y = S), 3 (Y = Se), 4 (Y = Te)] was performed by means of ab initio molecular orbital calculations at the MP2/3-21G(*)//HF/3-21G(*) level. These calculations indicate that 1-4 are all planar with Z-conformation with respect to the central bonds of their O(DOUBLE BOND)C(SINGLE BOND)Y(SINGLE BOND)Me units, whereas the corresponding E-forms are transition states for rotation about Y(SINGLE BOND)C(O) bonds which have energies higher than the E-forms by 20·6, 15·4, 13·9, and 9·6 kcal mol-1, respectively. The energy of 1 increases monotonically from the Z-form to the E-form with rotation about the Y(SINGLE BOND)C(O) bond, but in 2-4 a transition state and a local minimum were found between the two forms. This different phenomenon for 1 compared with its homologues 2-4 arise mainly from the large steric repulsion between a methyl group on the nitrogen and that on the oxygen in E-1. Optimization of the transition states (TSa and TSs) for rotation about N(SINGLE BOND)C(O) bonds showed that TSa is favoured by 2-4 but disfavoured by 1 owing to the repulsion between lone pairs on the nitrogen and oxygen atoms in its TSa. The barriers for rotation about N(SINGLE BOND)C(O) bonds were estimated to be 16·1, 14·7, 14·7, and 15·7 kcal mol-1 for 1,2,3,4, respectively.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
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  • 22
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996) 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Materialart: Digitale Medien
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  • 23
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Reactions of morpholine in dimethyl sulphoxide at unsubstituted ring positions of 1,3,5-trinitrobenzene, and phenyl 2,4,6-trinitrophenyl ether, yield anionic σ-adducts via zwitterionic intermediates. Reactions at the 1-position of phenyl 2,4,6-trinitrophenyl ether, phenyl 2,4-dinitronaphthyl ether, and phenyl 2,4-dinitrophenyl ether result in substitution of the phenoxy groups. In both these reaction types proton-transfer is rate-limiting. Comparison of kinetic and equilibrium data with those for corresponding reactions of piperidine shows that rate constants for proton transfer are similar for the two amines, but equilibrium constants for zwitterion formation have lower values for morpholine, the less basic amine. Implications for base catalysis are discussed.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 24
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 348-354 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The molecular gas-phase elimination kinetics of the series (Cl(CH2)nCOOH (n = 1-4), show changes in mechanisms from polar five-centered intramolecular displacement of the Cl leaving group by the acidic hydrogen of the COOH to neighboring group participation of the oxygen carbonyl of the COOH group. The mechanisms for the series 2-, 3- and 4-chlorobutyric acids are explained similarly as above. The leaving chloride at the 2-position of acetic, propionic, and butyric acids is displaced by the hydrogen of the COOH group through a prevaling path of a five- centered cyclic transition-state mechanism. This type of mechanism is also described for the pyrolysis of 2-hydroxy-, 2-alkoxy-, 2-phenoxy-, and 2-acetoxycarboxylic acids. The ease with which the groups at the 2-position of acetic and propionic acids are displaced by the H of COOH give rise the sequences AcO 〉 OH 〉 PhO 〉 EtO 〉 MeO 〉 Cl and AcO 〉 PhO 〉 Br 〉 EtO 〉 MeO 〉 MeO 〉 OH 〉 Cl, respectively. These two sequences differ only in the OH leaving group position. Additional work on glycolic acid pyrolysis is needed to explain the above differences.
    Zusätzliches Material: 8 Tab.
    Materialart: Digitale Medien
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  • 25
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The unimolecular decomposition of substituted N-chloro-α-glycine anions was examined by an ab initio method using the 6-31G* basis set to obtain an insight into the relationship between transition-state structure and reactivity. The complete potential energy surface was explored and the stationary points corresponding to reactant and transition structure were localized. A reaction analysis by correlation of bond orders revealed that the reaction mechanism corresponds to an asynchronous fragmentation. The transition structure for all the compounds has an antiperiplanar conformation between the C(SINGLE BOND)C and N(SINGLE BOND)Cl bond breaking and it has a product-like character. The influence of the substitution on the α-carbon and on the nitrogen is discussed. When the size and number of substituents on the α-carbon and to a lesser extent on the nitrogen atom increase the relative energy decreases. The size of the substituent produces perpendicular effects and the type and number of substituents give parallel effects.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 26
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 398-402 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The kinetics of complex formation between Pd(H2O)42+ and S-carboxymethyl-L-cysteine (SCMCH2) was investigated in the presence of sodium dodecyl sulphate in the acidity range between 2 M HClO4 and pH 5. Although the mechanism was not affected by the presence of anionic micelles, retardation (2·2 〈 pH 〈 5) and acceleration (pH 〈 2·2) of the complex formation were observed compared with its rate in aqueous solution. These effects were interpreted in terms of the long-range electrostatic interactions between the negatively charged micellar surface and ligand species which can be in different ionic forms depending on the pH.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
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  • 27
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 381-386 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Electrical currents trigger oxidation or reduction reactions in conducting polymers. Changes in volume associated with these redox processes can be transformed into macroscopic movements of more than 180° by the construction of a bilayer: polypyrrole-flexible and inactive polymer (artificial muscle). The effects of the applied potential, the nature of the solvent and the electrolyte concentration on the angular movement of the free end of the bilayer were analysed. The movement accelerates with increasing anodic (or cathodic, when the movement is reversed) overpotentials, with increasing electrolyte concentration or by using more polar solvents, leading to the conclusion that the movement is linked to electrochemically driven exchange of hydrated counterions between the solution and the conducting polymer. Geometrical considerations give a simple equation for both the microscopic and macroscopic changes of volume associated to the penetration of counterions during oxidation, which is able to explain the experimental behaviour.
    Zusätzliches Material: 9 Ill.
    Materialart: Digitale Medien
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  • 28
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 427-432 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Molecular volumes of 80 compounds (50 liquids and 30 solids), with densities in the range 0·6-3·0 g cm-3, were calculated by molecular mechanics. The densities derived from these molecular volumes (Vmol MM) by the approximation dMM = mol. wt/Vmol MMNA (NA = Avogadro's number) give two linear correlations (one for liquids and one for solids) when plotted versus experimental densities. Two general equations obtained from those relationships give a good precision (3% mean error) when tested in the calculation of the experimental densities of 183 compounds that have different structures and functional groups.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 29
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The effect of temperature on the Dimroth-Reichardt ET(30) parameter of binary mixtures of dimethyl sulfoxide, acetonitrile and nitromethane with alcohols and water was studied. The ET(30) polarity parameter of many of these binary mixtures exhibits a strong synergism. Dimethyl sulfoxide, acetonitrile and nitromethane form hydrogen-bonded complexes with the alcohols more polar than themselves. The ET(30) values of the mixtures were fitted according to an earlier model, based on solvent exchange equilibria, that allows calculation of the ET(30) values of the hydrogen-bonded complexes. The variation of the ET(30) values of the pure solvents and the hydrogen-bonded complexed solvents with temperature shows that the synergism decreases as the temperature increases.
    Zusätzliches Material: 7 Ill.
    Materialart: Digitale Medien
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  • 30
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 436-438 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Carbon-bridged [1.1]ferrocenophanes have generally been assumed to have syn structures, since anti isomers have been considered to be too strained. The recent discovery that such compounds may crystallize as anti isomers raises the question of whether the compounds prefer anti or syn conformations in solution. The synthesis of β-acetyl-[1.1]ferrocenophane (1) and its investigation by 1H,1H-NOESY are reported. Compound 1 was found to be a rapidly equilibrating mixture of syn isomers in CDCl3 at 22 °C.
    Zusätzliches Material: 3 Ill.
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  • 31
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 419-426 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The dynamics of the reaction of P+ with methane were studied by means of a combination of an approximate classical trajectory method and RRKM theory, using accurate ab initio computations of the relevant minima and saddle points of the lowest singlet and triplet potential energy surfaces. The results were compared with those of gas-phase experiments obtained at 300 K. Computed rate coefficients are given for a wide range of temperatures from 40 to 1000 K and may be useful in the modelling of interstellar chemistry, where the reaction of P+ with methane is believed to play a crucial role in the synthesis of small molecules containing a P(SINGLE BOND)C bond. The results appear to imply that an intersystem crossing process may play a key role in the reaction dynamics.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 32
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 661-671 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: In the addition reactions of aniline nucleophiles with a benzylic carbocation, isokinetic behavior is often observed: ρX(ρnuc) vanishes and the rate becomes constant irrespective of the substituent, X, in the nucleophile when α and Y substituents on the benzylic carbon and on the ring, respectively, are kept constant (σ^α and σ^Y). This means that there is a region (σY 〈 σ^Y) where thermodynamically more stable derivatives (δσX 〉 0) are kinetically more labile (δ log kXY 〉 0) so that ρX is positive, i.e. an inverse thermodynamic stability-reactivity relationship holds. The observable isokinetic point at σ^Y is rationalized by the compensation effect of the intrinsic barrier, ΔG0≠, and thermodynamic driving force, ΔG°, for the specified α and Y substituents. Moreover, the two substituents, α and Y, that satisfy the condition of vanishing ρX are found to be related in a compensating manner to preserve the condition of nearly complete cancellation between the two energy terms for the vanishing ρX. The cancellation of the two energy terms is made possible by an imbalance or non-synchronization of the expression of destabilizing polar and stabilizing resonance interactions in the transition state.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 33
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A 1H NMR conformational study of cis- and trans-4-substituted cyclohexene oxides revealed an increased predominance, as compared with the parent 4-substituted cyclohexenes, of the equatorial conformer for cis-isomers and a preference of the axial conformer for trans-isomers. These conformational shifts can be rationalized in terms of intramolecular dipole-dipole and/or steric interactions. However, molecular mechanics calculations failed to reproduce the relative stability of the axial conformer in trans-4-substituted cyclohexene oxides.
    Zusätzliches Material: 2 Tab.
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  • 34
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996) 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Materialart: Digitale Medien
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  • 35
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 711-716 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Reaction pathways leading to nucleophilic addition and enolate formation were investigated for the reaction between acetaldehyde and hydroxide anion. Ab initio calculations predict small activation barriers for both reactions in the gas phase. Monte Carlo simulations were performed to assess the effects of aqueous solvation. It was found that both reaction pathways involve significant solvent-induced activation barriers, in addition to effecting some structural changes in the transition state.
    Zusätzliches Material: 5 Ill.
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  • 36
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996) 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Materialart: Digitale Medien
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  • 37
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 746-750 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The 15N NMR chemical shifts of eight substituted pyridine N-oxides (B) and their complexes (AHB) with methanol and dichloroacetic and trifluoromethanesulfonic acids were measured in chloroform-d at the natural abundance level. The measured chemical shifts are strongly affected by substituents, hydrogen bond strength and protonation. The plot of the relative chemical shifts, Δδ(15N) = δ(AHB) - δ(B), against ΔpKa gives a titration curve that reflects the variation of the hydrogen bond strength and the proton moves from the acid to the N-oxide. According to previous IR data, in the complexes from the inversion region (ΔpKa = 1·26), the proton is either delocalized (B…H…A) or more likely the lifetime is so short (≤10-13 s) that the method does not recognize the B…H-A and B+H…A- species. Protonation of pyridine N-oxides shifts the nitrogen signal ca 50 ppm to lower frequencies compared with the ca 123 ppm for pyridines.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 38
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 159-167 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The structures of several sulfoxides, including dimethyl sulfoxide and pentamethylene sulfoxide, were fitted with the MM3 force field to existing experimental data from electron diffraction and microwave spectroscopy. The vibrational spectra were also fitted for dimethyl sulfoxide. The torsional parameters could not be determined from existing experimental data, so the torsional profile for methyl ethyl sulfoxide was fitted to ab initio values.
    Zusätzliches Material: 1 Ill.
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  • 39
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 129-136 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Previously unknown 1,3-dioxenium perchlorates were obtained by coupling 1,3-diketones with aliphatic ketones in an acetic acid solution of perchloric acid. The dioxenium ring of 4,6-bis(p-methoxystyryl)-2,2-pentamethylenespiro-1,3-dioxenium perchlorate in the crystal possesses the envelope conformation, the geometry of the carbon triad being close to that of the allyl cations. Variable-temperature 1H NMR spectra of unsymmetrical 1,3-dioxenium cations revealed the occurrence of a sufficiently fast enantiotopomerization process governed by the C(SINGLE BOND)O bond dissociation-recombination mechanism.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 40
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 145-151 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Second-order rate constants of reactions of HO- with phosphate, phosphinate and thiophosphinate esters, (PhO)2PO.OC6H4NO2-p, Ph2PO.OC6H4NO2-p, Ph2PO.SPh, Ph2PO.SC6H4NO2-p and Ph2PO.SEt, go through minima with decreasing water content of H2O-MeCN or H2O-t-BuOH. The rate decrease is due to stabilization of the non-ionic ester on addition of organic solvent to H2O. This inhibition is partially offset by stabilization of the anionic transition states and in the drier solvents partial desolvation of HO- increases rates.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 41
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Photoinduced electron-transfer oxygenation of 9,10-dihydroanthracene was carried out with 2,4,6-triphenylpyrylium tetrafluoroborate (TPP) and 9,10-dicyanoanthracene (DCA) as sensitizers. The time course of the oxygenation products was studied, and the results showed that anthrone was formed as a primary product in the DCA-sensitized oxygenation whereas in the TPP-sensitized oxygenation anthracene was the primary, major product which under the reaction conditions was converted to anthrone. A mechanism involving proton transfer in the radical ion pair consisting of 9,10-dihydronathracene radical cation and superoxide radical anion, which cannot occur in the TPP-sensitized oxygenation, was proposed to rationalize the difference in the product distribution in the two sensitized oxygenation reactions.
    Zusätzliches Material: 4 Ill.
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  • 42
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 191-202 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The MM3 force field has been extended to include the nitriles and alkynes. Structures, heats of formation, dipole moments and conformational equilibria for aliphatic nitriles and alkynes compounds are fitted to within experimental error. The vibrational spectra for aliphatic nitriles and alkynes were studied, and the experimental values were fitted to an rms error of about 30 cm-1. Previous MM2 studies of nitriles and alkynes left unresolved the length of the Csp(SINGLE BOND)Csp3 bonds in isopropylnitrile, 3-methylbutyne, and tert-butylacetylene. In each of these compounds, previous MM2 results disagree with experiment. The present MM3 studies and quantum mechanical calculations (MP2/6-31G** and B3LYP/6-31G*) confirmed the previous MM2 results.
    Zusätzliches Material: 10 Tab.
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  • 43
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 227-233 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The diazotization of N-silylated N-methyl- and N-phenylcyclopentenylamines affords products derived from intermediate methyl- and phenyldiazonium ions. However, when this method is applied to N,N-bissilylated cyclopentenylamines, the products obtained do not confirm the formation of a cyclopentenyl cation intermediate.
    Zusätzliches Material: 7 Ill.
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  • 44
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 203-211 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A theoretical and experimental analysis of the geometric and electronic properties of compounds containing the aminosulphonylamino moiety was carried out. The theoretical properties were calculated using molecular orbital ab initio methods at the Hartree-Fock (HF) and second order Möller-Plesset (MP2) levels of theory, local density functional (LDF) ab initio methods and the semi-ab initio method, SAM1, on sulphamide and seven heterocyclic compounds containing the aminosulphonylamino group. The experimental analysis has been performed using x-ray structures of related compounds gathered in the Cambridge Structural Database together with experimental dipole moments and 13CNMR shifts of some of the compounds studied. Comparison of the experimental analysis with the theoretical results indicates that none of the methods studied is the most adequate to describe the geometry and electronic distribution of these molecules. The use of the 6-31G* basis set to compute the geometry of these molecules and methods which include electronic correlation (MP2/61G*//RHF/6-31G*, MP2/6-31G* and LDF) to quantify their electronic distribution are proposed.
    Zusätzliches Material: 1 Ill.
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  • 45
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Upon irradiation, 2-(dibenzylamino)ethyl and 2-(N-benzyl-N-methylamino)ethyl acetoacetate (1a and 1b) undergo photocyclization via remote proton transfer from the benzyl group to the acetyl carbonyl oxygen to give eight-membered azalactones. Irradiation of the corresponding (diisopropylamino)- and (dimethylamino)ethyl esters gave no azalactones. Introduction of the methyl group on C-2 of 1a brought about a complicated photoreaction, probably due to competition of α-cleavage. The Stern-Volmer plots for the photoreaction of 1a did not show the linear relationship, indicating that the photoreaction proceeds from two reactive excited states. The Stern-Volmer quenching equation for the system was obtained by applying the steady-state approximation and was used for the analysis of the photoreaction of 1a. The triplet lifetime was determined to be 1·6 × 10-8 s.
    Zusätzliches Material: 4 Ill.
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  • 46
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: In order to extend the the method for preparation of amidines using N-Mg reagents, aryl- and alkyliminodimagnesium [IDMg, ArN(MgBr)2 and RN(MgBr)2] were reacted with esters, amides, ortho- esters, acetals, aminoacetal and arene- and alkane carbonitriles. Among the compounds used, aminoacetal and carbonitriles were proved to be useful as starting materials for amidine preparation; alkyl-IDMgs were successfully used for the first time. It was noted that an excess molar amount of IDMg is needed in the reported reaction of ArN(MgBr)2 with benzonitrile (aryl-aryl combination), whereas no excess is needed in aryl-alkyl, alkyl-aryl, and alkyl-alkyl combinations of reagent and substrate. From the viewpoint previously proposed in terms of relative efficiency of single electron transfer in the reactions of magnesium reagents, the most probable reason for the difference in the need for an excess molar amount of aryl and alkyl IDMg was ascribed to the difference in the electron-donating abilities of reagents. Additional minor reasons are discussed.
    Zusätzliches Material: 1 Ill.
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  • 47
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996) 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Materialart: Digitale Medien
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  • 48
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 234-240 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Information on the rotational motion of various types of spin-labelled long-chain nitroxides was obtained from the anisotropic ESR signals. By varying the position of the nitroxide moiety along the chain, the intrinsic flexibility of molecular chain was examined. The rotational correlation times (τc) of spin-labelled long-chain nitroxides were about 10-10 s. The activation parameters for rotational motion were estimated from the temperature and pressure dependences of τc. It was found that the activation entropy observed for methyl 16-doxyl stearate is obviously large compared with those for methyl 5- and methyl 12-doxyl stearates. The results suggest an increase in the molecular motions at the end of the hydrocarbon chain. The viscosity dependence of τc is discussed in terms of the difference in the strength between solute-solvent and solvent-solvent interactions.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 49
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 295-300 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The ionized (S-) and non-ionized (SH) phenyl (PSH) and methyl (MSH) salicylates exhibit strong and undetectable absorption at 350 nm, respectively. These molecular absorption properties were used to determine the binding constants of S- and SH with the micelles of sodium dodecyl sulphate in terms of the pseudophase model of micelles. The binding constants (K1) of S- are 4·0 ± 2·0 dm3 mol-1 for PSH and 5·7 ± 1·2 dm3 mol-1 for MSH and those (K2) of SH are 2350 ± 90 dm3 mol-1 for PSH and 100 ± 10 dm3 mol-1 for MSH at 30°C.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 50
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 279-286 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The kinetics of the oxidation of six substituted phenethyl alcohols by sodium N-chlorobenzenesulphonamide or chloramine-B (CAB) in the presence of HCl was studied at 35°C. The rate shows a first order dependence on [CAB]0 and [H+] and is of fractional order in [PEA]0 and [Cl-]. Ionic strength variations, addition of the reaction product of benzenesulphonamide and variation of the dielectric constant of the medium have no effect on the rate. The solvent isotope effect k1H2O/k1D2O ≅ 0·78. Proton inventory studies were made in H2O-D2O mixtures. The rates correlate satisfactorily with Hammett's LFER. The reaction constant ρ was -3·5 for electron-releasing substituents and -0·30 for electron withdrawing groups at 35°C. Activation parameters ΔH
    Zusätzliches Material: 7 Ill.
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  • 51
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 255-261 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Measurements were made in CCl4 of the formation constant KHB of the 1:1 hydrogen-bonded complexes between the reference donor 4-fluorophenol and the intramolecular hydrogen-bonded systems I (one lone pair on heteroatom Y, one intramolecular hydrogen bond: 8-hydroxyquinaldine and 2-(2-hydroxyphenyl)benzoxazole); II: (two lone pairs, two intramolecular hydrogen bonds: 2,2′-dihydroxybenzophenone and 1,8-dihydroxyanthrone) and III (two lone pairs, one intramolecular hydrogen bond: tropolone, salicylic acid derivatives and guaiacol). The pKHB values and the structural vibrational studies show that system I has a non-zero hydrogen-bond basicity which is due to the oxygen atom. In system II the non-zero basicity is explained by the two oxygens and the breaking of one intramolecular hydrogen bond. In the push-pull system III (e.g. tropolone), in spite of the great decrease of the basicity of the free lone pair by the intramolecular hydrogen bond (e.g. compared with tropone), Y remains the major site for intermolecular association. However in guaiacol, a non push-pull system III, the cooperativity effect makes the phenolic oxygen the major site.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 52
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 262-264 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: From a set of photochromic spiro[indoline-naphthoxazines] substituted on the oxazine part, a correlation between the electronic charge of the 2′-carbon atom and the absorption wavenumbers of the corresponding coloured forms was found. This relationship is of particular interest to predict the colour developed by this class of photochromic compounds.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 53
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 265-268 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The acid-base properties of eight 3-aminopropionamidine derivatives R1R2N(CH2)2C((DOUBLE BOND)NH)NR3R4 (1, R1 = R2 = R3 = R4 = H; 2, R1 = R3 = R4 = H, R2 = Me; 3, R1 = R2 = R4 = H, R3 = Me; 4, R1 = R2 = H, R3 = R4 = Me; 5, R1 = Tos, R2 = R3 = R4 = H; 6, R1 = Tos, R2 = Me R3 = R4 = H; 7, R1 = Tos, R2 = R4 = H, R3 = Me; 8, R1 = Tos, R2 = H, R3 = R4 = Me; Tos = 4-toluenesulphonyl) related to the antiviral natural product distamycin A were investigated in water and dimethyl sulphoxide (DMSO). The measured pKa values for the ammonium function in 1-4 in water ranged between 7·48 and 7·73, whereas the corresponding values in DMSO were 9·4 ± 0·3. The amidinium moiety of these compounds displayed pKa values in the range 11·4-12·0 and 13·4-13·6 in water and DMSO, respectively. The tosylamide group in compounds 5-8 was deprotonated in the expected pH region and exhibited pKa values between 9·49 and 10·02 in water, but was considerably less acidic in DMSO (14·5 ≤ pKa ≤ 15·7). The behaviour of the amidinium cation of 5-8 in water and DMSO resembled that of 1-4. The measured pKa values are discussed and the solvent-induced pKa shifts are explained in terms of solvent and substituent effects. The observed pKa differences between the ammonium and the amidinium functions in 1-4 render these compounds suitable intermediates in an alternative synthesis of distamycin A.
    Zusätzliches Material: 1 Ill.
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  • 54
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 252-254 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: It is reported that earlier assignments of 2-naphthylphenylcarbene were erroneous and that ESR data support the same assignment as quantum mechanical calculations. An unambiguous nomenclature for geometric isomers of carbenes is proposed.
    Materialart: Digitale Medien
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  • 55
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 241-251 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The known correlations between calorimetric and IR spectroscopic data on hydrogen bonding were reinvestigated for hydrogen bond donors (AH) dissolved in pure bases (B). Ninety-five AH···B systems were considered for which the enthalpies of specific interaction due to hydrogen bonding AH···B (ΔHAH/Bsp.int., kJ mol-1), the weight centers of A-H stretching bands (v, cm-1) and their integral absorption coefficients (α, 104 cm mmol-1) had been measured. The relationships between ΔHAH/Bsp.int. and the parameters of the infrared absorption spectra [weight center shifts Δv and the changes in the square roots of α (Δα1/2)] were analyzed. It was found that the dependence of ΔHAH/Bsp.int. on Δα1/2 consists of two nearly parallel straight lines: the first (-ΔHAH/Bsp.int. = 12·0 Δα1/2 + 0·4) corresponds to water and the weak C(SINGLE BOND)H and O(SINGLE BOND)H H-bond donors (chloroethylenes, acetylenes acetonitrile, nitromethane, chloroform, o, o′-di-tert-butylphenol); the second (-ΔHAH/Bsp.int. = 12·1 Δα1/2 -4·2) corresponds to the stronger N(SINGLE BOND)H and O(SINGLE BOND)H H-bond donors (N-methylaniline, pyrrole, alcohols, phenol, carbon acids). Non-linear dependences of ΔHAH/Bsp.int. on Δv were obtained for all C(SINGLE BOND)H, N(SINGLE BOND)H and O(SINGLE BOND)H H-bond donors except water [-ΔHAH/Bsp.int. = 59·9 Δv/(Δv + 674)]. Enthalpies of specific interaction for water obey another dependence [-ΔHH2O/Bsp.int./2 = 28·5 Δv/(Δv + 269)]. The ΔHAH/Bsp.int. values can be estimated by the above correlations with an accuracy of ±3 to ±6 kJ mol-1. These relationships obtained for solutions of H-bond donors in pure bases differ from the well known dependences determined for the AH···B hydrogen bonding in carbon tetrachloride medium.
    Zusätzliches Material: 5 Ill.
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  • 56
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996) 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Materialart: Digitale Medien
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  • 57
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Pseudo first-order rate constants (kobs1) for methanolysis of ionized phenyl salicylate (PS-) show a decrease of 3-5-fold with increase in CH3CN content from 2 to 60 or 70% (v/v) in mixed aqueous solvents containing 0·01 mol dm-3 LiOH and a constant content of CH3OH. At 0·01 mol dm-3 KOH, the rate constants, kobs1, reveal a decrease of 15-20% and an increase of 70-130% with increase in the CH3CN content from 2 to 30% (v/v) and from 30 to 60 or 70% (v/v) respectively. The values of ΔH
    Zusätzliches Material: 1 Ill.
    Materialart: Digitale Medien
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  • 58
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 433-435 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A kinetic study of the α-cyclodextrin-mediated oxidation of methyl 4-nitrophenyl sulphide by 4-methylperbenzoic acid suggests that the stability constant for the cyclodextrin-peracid complex is two orders of magnitude greater than the value determined previously. Potentiometric studies confirmed this and showed that the 4-methylperbenzoate anion forms a complex of stability similar to that of the molecular acid. A less stable 2:1 cyclodextrin-4-methylperbenzoic acid complex is also observed.
    Zusätzliches Material: 4 Ill.
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  • 59
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 387-397 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The process of intramolecular charge separation was studied in three nearly identical donor-bridge-acceptor compounds (1-3) under jet-cooled conditions. Each consists of a vinylcyanonaphthalene group as a powerful electron acceptor and an anilino derivative as an electron donor, separated by a rigid hydrocarbon bridge. The only difference between the three compounds is the substituent at the para position of the anilino group, which directly influences the ionization potential of the donor. For compound 1, which has the weakest donor of the three, it is found that excitation at (or very near) the electronic origin of the acceptor chromophore results exclusively in local emission, while excitations with an excess energy 〉60 cm-1 lead to a distinct red shift. Comparison with 2 and 3 shows that the red-shifted band can be attributed to a charge-separated state with an extended conformation, in which an electron has been transferred across three sigma bonds. Interestingly, this charge separation process appears to be more efficient in 2 and 3 than in 1, resulting in complete quenching of the local emission even at the lowest energy excitations. These observations are interpreted in terms of intramolecular radiationless transition theory and a comparison is made with the behaviour of (semi)flexibly bridged systems in which charge separation was shown earlier to be linked to a major, electrostatically driven reorganization.
    Zusätzliches Material: 9 Ill.
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  • 60
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 329-336 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The oxidation of organic compounds by hydrogen peroxide, catalysed by transition metal derivatives, e.g. V(V), Mo(VI) and W(VI) complexes, involves the formation of peroxometal complexes. These are much more efficient oxidants than hydrogen peroxide so that the catalysed reactions are of remarkable synthetic significance. Several peroxometal complexes can be isolated and used as stoichiometric oxidants. An appealing feature of these oxidants is their versatility, as demonstrated by the fact that they are able to oxidize substrates such as alkenes, alcohols, ketones, sulphur, phosphorus and nitrogen derivatives and even aromatic and aliphatic hydrocarbons. Either polar or radical oxidations may take place. The reactivity depends on the nature of the metal and especially on the nature of the ligands coordinated to the metal. Therefore, an important goal consists in predicting the reactivity of peroxometal complexes on the basis of their structural features. Examples presented demonstrate that structure-reactivity correlations may be established. However, the effect of the ligands appears to be complex so that care must be exercised in drawing general conclusions.
    Zusätzliches Material: 9 Ill.
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  • 61
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 361-370 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Acetylenic alcohols - ynols - and acetylenic amines - ynamines - have been generated in aqueous solution by flash phololytic decarbonylation of hydroxy- and aminocyclopropenones and their chemistry has been examined in that medium. This has revealed a remarkably strong acid-strengthening effect of the acetylenic group, which ab initio molecular orbital calculations suggest results from a combination of destabilizing inductive effects on the initial state and stabilizing resonance effects on the final state of the acid ionization reaction.
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
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  • 62
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 355-360 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The carcinogens 4-aminobiphenyl, 2-aminofluorene and their N-acetyl derivatives form DNA adducts in vivo with the aryl nitrogen attached at C-8 of guanine. These adducts are proposed to arise through the reaction with the DNA base of a nitrenium ion obtained by N(SINGLE BOND)O heterolysis of a hydroxylamine ester obtained metabolically by oxidation and esterification. Routes have now been discovered for the photochemical generation of these nitrenium ions, the N-acetyl derivatives via a photoheterolysis reaction and the N-H derivatives by protonation of the singlet nitrene photochemically generated from the azide precursor. The nitrenium ions are observed as transient intermediates with laser flash photolysis, and the kinetics of their reaction with various nucleophiles directly monitored. These results, coupled with competition kinetics experiments, show that the nitrenium ions derived from the above amines and amides are relatively long-lived in water, with a remarkably high selectivity in water for reaction with 2′-deoxyguanosine and its 5′-phosphate. The C-8 adduct is the product of this reaction. These behaviours differ considerably from those of analogous carbenium ions. Reactions with vinyl ethers have also been investigated, and also show significant differences between the two types of electrophile.
    Zusätzliches Material: 3 Tab.
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  • 63
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 9 (1996), S. 411-418 
    ISSN: 0894-3230
    Schlagwort(e): Chemistry ; Theoretical, Physical and Computational Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The autoxidation of various retinyl polyenes and carotenoids in chlorobenzene at 45°C and in thin solid films on a support at room temperature was investigated. The compounds used were β-carotene, canthaxanthin, retinyl acetate, methyl (all-E)-retinoate, methyl (13Z)-retinoate, retinal, C18 ketone, β-ionylidene acetaldehyde, ψ-ionone, β-ionone and ethyl sorbate as a model compound. It was shown that the isomerization of polyenyl peroxy radicals occurs during autoxidation of all the compounds studied, excepting β-ionone. A kinetic scheme for the polyene autoxidation process was considered and analysed. The conditions under which the rate constants of elementary reactions may be determined were defined and the rate constants of propagation and termination reactions for different polyenes were evaluated. The disappearance and formation of different functional groups were monitored by the spectroscopic investigation of autoxidation of polyene solid films. Mechanisms of the initial stages of the process are proposed for different polyenes.
    Zusätzliches Material: 12 Ill.
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  • 64
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 1-20 
    ISSN: 1070-5325
    Schlagwort(e): preconditioning saddle-point problems ; eigenvalue estimation ; mixed finite element method ; minimum residual method ; second-order elliptic problems ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: We consider saddle-point problems that typically arise from the mixed finite element discretization of second-order elliptic problems. By proper equivalent algebraic operations the considered saddle-point problem is transformed to another saddle-point problem. The resulting problem can then be efficiently preconditioned by a block-diagonal matrix or by a factored block-matrix (the blocks correspond to the velocity and pressure, respectively). Both preconditioners have a block on the main diagonal that corresponds to the bilinear form(δ is a positive parameter) and a second block that is equal to a constant times the identity operator. We derive uniform bounds for the negative and positive eigenvalues of the preconditioned operator. Then any known preconditioner for the above bilinear form can be applied. We also show some numerical experiments that illustrate the convergence properties of the proposed technique.
    Zusätzliches Material: 2 Tab.
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  • 65
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996) 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
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  • 66
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 275-300 
    ISSN: 1070-5325
    Schlagwort(e): sparse QR factorization ; multifrontal method ; parallelism ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: We describe the design and implementation of a parallel QR decomposition algorithm for a large sparse matrix A. The algorithm is based on the multifrontal approach and makes use of Householder transformations. The tasks are distributed among processors according to an assembly tree which is built from the symbolic factorization of the matrix ATA.We first address uniprocessor issues and then discuss the multiprocessor implementation of the method. We consider the parallelization of both the factorization phase and the solve phase. We use relaxation of the sparsity structure of both the original matrix and the frontal matrices to improve the performance. We show that, in this case, the use of Level 3 BLAS can lead to very significant gains in performance. We use the eight processor Alliant˜FX/80 at CERFACS to illustrate our discussion.
    Zusätzliches Material: 12 Ill.
    Materialart: Digitale Medien
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  • 67
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 113-124 
    ISSN: 1070-5325
    Schlagwort(e): iterative methods ; linear systems ; multisplittings ; overlap ; parallel algorithms ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: Parallel two-stage multisplitting methods with overlap for the solution of linear systems of algebraic equations are studied. It is shown that, under certain hypotheses, the method with overlap is asymptotically faster than that without overlap. Experiments illustrating this phenomenon are presented.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 68
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 91-111 
    ISSN: 1070-5325
    Schlagwort(e): boundary integral operators ; domain decomposition ; interface operators ; fast elliptic problem solvers ; parallel algorithms ; preconditioning ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: In this paper a method for fast computations with the inverse to weakly singular, hypersingular and double layer potential boundary integral operators associated with the Laplacian on Lipschitz domains is proposed and analyzed. It is based on the representation formulae suggested for above-mentioned boundary operations in terms of the Poincare-Steklov interface mappings generated by the special decompositions of the interior and exterior domains. Computations with the discrete counterparts of these formulae can be efficiently performed by iterative substructuring algorithms provided some asymptotically optimal techniques for treatment of interface operators on subdomain boundaries. For both two- and three-dimensional cases the computation cost and memory needs are of the order O(N logp N) and O(N log2 N), respectively, with 1 ≤ p ≤ 3, where N is the number of degrees of freedom on the boundary under consideration (some kinds of polygons and polyhedra). The proposed algorithms are well suited for serial and parallel computations.
    Zusätzliches Material: 2 Ill.
    Materialart: Digitale Medien
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  • 69
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 173-177 
    ISSN: 1070-5325
    Schlagwort(e): diagonally dominant matrix ; determinant ; norm ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: A property of strictly diagonally dominant matrices and a generalization of a Varga's bound for ∥ A-1∥∞ to the case ∥ A-1B∥∞ are given and the two-sided bounds for the determinants of strictly diagonally dominant matrices are derived
    Materialart: Digitale Medien
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  • 70
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 513-524 
    ISSN: 1070-5325
    Schlagwort(e): regularization ; I-norm ; discontinuous solutions ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: In certain inverse problems it is useful to be able to compute solutions which are, in some sense, as simple as possible. For example,k one may wish to compute solutions which are piecewise constant and with as few discontinuities as possible. Such solutions are suited to describe models, e.g., geological layers, where the coarse structure is more important than the fine structure. A natural generalization of piecewise constant functions is piecewise polynomial solutions. In this paper we present a new algorithm which is capable of computing solutions that are piecewise polynomials, without having to specify a priori the positions of the break points between the polynomial pieces.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
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  • 71
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 491-512 
    ISSN: 1070-5325
    Schlagwort(e): unsymmetric ; Krylov subspace ; IOM(q) ; FOM ; truncated ; basis vector ; orthonormality ; convergence ; restarted ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The incomplete orthogonalization method (IOM(q)), a truncated version of the full orthogonalization method (FOM) proposed by Saad, has been used for solving large unsymmetric linear systems. However, no convergence analysis has been given. In this paper, IOM(q) is analysed in detail from a theoretical point of view. A number of important results are derived showing how the departure of the matrix A from symmetric affects the basis vectors generated by IOM(q), and some relationships between the residuals for IOM(q) and FOM are established. The results show that IOM(q) behaves much like FOM once the basis vectors generated by it are well conditioned. However, it is proved that IOM(q) may generate an ill-conditioned basis for a general unsymmetric matrix such that IOM(q) may fail to converge or at least cannot behave like FOM. Owing to the mathematical equivalence between IOM(q) and the truncated ORTHORES(q) developed by Young and Jea, insights are given into the convergence of the latter. A possible strategy is proposed for choosing the parameter q involved in IOM(q). Numerical experiments are reported to show convergence behaviour of IOM(q) and of its restarted version.
    Zusätzliches Material: 6 Tab.
    Materialart: Digitale Medien
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  • 72
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 413-426 
    ISSN: 1070-5325
    Schlagwort(e): iterative methods ; linear systems ; singular matrices ; block methods ; multisplitting ; two-stage ; non-stationary ; Markov chains ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The use of block two-stage methods for the iterative solution of consistent singular linear systems is studied. In these methods, suitable for parallel computations, different blocks, i.e., smaller linear systems, can be solved concurrently by different processors. Each of these smaller systems are solved by an (inner) iterative method. Hypotheses are provided for the convergence of non-stationary methods, i.e., when the number of inner iterations may vary from block to block and from one outer iteration to another. It is shown that the iteration matrix corresponding to one step of the block method is convergent, i.e., that its powers converge to a limit matrix. A theorem on the convergence of the infinite product of matrices with the same eigenspace corresponding to the eigenvalue 1 is proved, and later used as a tool in the convergence analysis of the block method. The methods studied can be used to solve any consistent singular system, including discretizations of certain differential equations. They can also be used to find stationary probability distribution of Markov chains. This last application is considered in detail.
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  • 73
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 349-350 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: No Abstract
    Materialart: Digitale Medien
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  • 74
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 427-453 
    ISSN: 1070-5325
    Schlagwort(e): mixed method ; nonconforming method ; multilevel preconditioner ; condition number ; second order elliptic problem ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: A new approach for constructing algebraic multilevel preconditioners for mixed finite element methods for second order elliptic problems with tensor coefficients on general geometry is proposed. The linear system arising from the mixed methods is first algebraically condensed to a symmetric, positive definite system for Lagrange multipliers, which corresponds to a linear system generated by standard nonconforming finite element methods. Algebraic multilevel preconditioners for this system are then constructed based on a triangulation of the domain into tetrahedral substructures. Explicit estimates of condition numbers and simple computational schemes are established for the constructed preconditioners. Finally, numerical results for the mixed finite element methods are presented to illustrate the present theory.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 75
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 455-457 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
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  • 76
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 473-489 
    ISSN: 1070-5325
    Schlagwort(e): conjugate gradients ; biconjugate gradients ; conjugate directions ; non-symmetric linear systems ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: In this paper three basic conjugate direction methods for solving non-symmetric linear systems are described and compared. All three have entirely different basic structures and, consequently, completely different characteristics. The motivation for this work is the comparative assessment of the methods in order to decide which of the three is the most suitable for further development.
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
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  • 77
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996) 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 78
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 543-545 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 79
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 21-44 
    ISSN: 1070-5325
    Schlagwort(e): first-order PDEs ; iterative methods ; preconditioners ; Toeplitz ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: Preconditioners to nonsymmetric, nondiagonally dominant systems of equations are constructed and examined numerically. The preconditioners are based on a Toeplitz approach with a certain symmetry that we define. The inversion of the preconditioners is defined through a Fast Modified Sine Transform. As a model problem we study the systems of equations arising from a implicit time-discretization with a large time-step of a scalar hyperbolic PDE.
    Zusätzliches Material: 17 Ill.
    Materialart: Digitale Medien
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  • 80
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 45-64 
    ISSN: 1070-5325
    Schlagwort(e): Toeplitz least squares problems ; circulant preconditioned conjugate gradient method ; deconvolution ; image restoration ; atmospheric imaging ; medical imaging ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: In this paper, we propose a method to generalize Strang's circulant preconditioner for arbitrary n-by-n matrices An. The th column of our circulant preconditioner Sn is equal to the th column of the given matrix An. Thus if An is a square Toeplitz matrix, then Sn is just the Strang circulant preconditioner. When Sn is not Hermitian, our circulant preconditioner can be defined as . This construction is similar to the forward-backward projection method used in constructing preconditioners for tomographic inversion problems in medical imaging. We show that if the matrix An has decaying coefficients away from the main diagonal, then is a good preconditioner for An. Comparisons of our preconditioner with other circulant-based preconditioners are carried out for some 1-D Toeplitz least squares problems: min ∥ b - Ax∥2. Preliminary numerical results show that our preconditioner performs quite well, in comparison to other circulant preconditioners. Promising test results are also reported for a 2-D deconvolution problem arising in ground-based atmospheric imaging.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
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  • 81
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 65-80 
    ISSN: 1070-5325
    Schlagwort(e): boundary value problem ; boundary element method ; preconditioning ; iterative method ; fast Fourier transform ; parallel algorithm ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The parallel version of precondition iterative techniques is developed for matrices arising from the panel boundary element method for three-dimensional simple connected domains with Dirichlet boundary conditions. Results were obtained on an nCube-2 parallel computer showing that preconditioned iterative methods are very well suited also in three-dimensional cases for implementation on an MIMD computer and that they are much more efficient than usual direct solution techniques.
    Zusätzliches Material: 6 Ill.
    Materialart: Digitale Medien
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  • 82
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 91-93 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
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  • 83
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996) 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 84
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 345-348 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
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  • 85
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 391-411 
    ISSN: 1070-5325
    Schlagwort(e): finite difference discretization ; fast adaptive composite grid method ; convergence rate ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The fast adaptive composite grid (FAC) method is an iterative method for solving discrete boundary value problems on composite grids. McCormick introduced the method in [8] and considered the convergence behaviour for discrete problems resulting from finite volume element discretization on composite grids. In this paper we consider discrete problems resulting from finite difference discretization on composite grids. We distinguish between two obvious discretization approaches at the grid points on the interfaces between fine and coarse subgrids. The FAC method for solving such discrete problems is described. In the FAC method several intergrid transfer operators appear. We study how the convergence behaviour depends on these intergrid transfer operators. Based on theoretical insights, (quasi-)optimal intergrid transfer operators are derived. Numerical results illustrate the fast convergence of the FAC method using these intergrid transfer operators.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
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  • 86
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996) 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
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  • 87
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 459-471 
    ISSN: 1070-5325
    Schlagwort(e): alternating projection method ; Dykstra's algorithm ; patterned matrix ; constrained least-squares ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: We apply Dykstra's alternating projection algorithm to the constrained least-squares matrix problem that arises naturally in statistics and mathematical economics. In particular, we are concerned with the problem of finding the closest symmetric positive definite bounded and patterned matrix, in the Frobenius norm, to a given matrix. In this work, we state the problem as the minimization of a convex function over the intersection of a finite collection of closed and convex sets in the vector space of square matrices.We present iterative schemes that exploit the geometry of the problem, and for which we establish convergence to the unique solution. Finally, we present preliminary numberical results to illustrate the performance of the proposed iterative methods.
    Zusätzliches Material: 4 Tab.
    Materialart: Digitale Medien
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  • 88
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 125-145 
    ISSN: 1070-5325
    Schlagwort(e): orthogonalization ; QR factorization ; polar decomposition ; subspace tracking ; error analysis ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: We consider the problem of computing Uk = QkUk-1(where U0 is given) in finite precision (εM = machine precision) where U0 and theQi are known to be unitary. The problem is that Ûk, the computed product may not be unitary, so one applies an O(n2) orthogonalizing step after each multiplication to(a) prevent Ûk from drifing too far from the set of untary matrices(b) prevent Ûk from drifting too far from Uk the true product.Our main results are1. Scaling the rows to have unit length after each multiplication (the cheaptest of the algorithms considered) is usually as good as any other method with respect to either of the criteria (a) or (b).2. A new orthogonalization algorithm that guarantees the distance of Ûk (k = 1, 2, …) to the set of unitary matrices is bounded by n3.5εM for any choice of Qi.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 89
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996) 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 90
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 147-159 
    ISSN: 1070-5325
    Schlagwort(e): elasticity ; finite-element ; multilevel ; a posteriori error estimation ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The constant γ in the strengthened Cauchy-Buniakowski-Schwarz (C.B.S.) inequality plays a crucial role in the convergence rate of multilevel iterative methods as well as in the efficiency of a posteriori error estimators, that is in the framework of finite element approximations of SPD problems.We consider the approximation of the 2D elasticity problem by the Courant element. Concerning multilevel convergence rate, that is the γ corresponding to nested general triangular meshes of size h and 2h, we have proved that γ2≤ 3/4$ uniformly on the mesh and the Poisson ratio. Concerning error estimator, that is the γ corresponding to quadratic and linear approximations on the same mesh, numerical computations have shown that the exact γ for a reference element deteriorates that is goes to one, when the Poisson ratio tends to 1/2
    Zusätzliches Material: 1 Ill.
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  • 91
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 161-172 
    ISSN: 1070-5325
    Schlagwort(e): smoothing property ; multigrid method ; semi-iterative smoother ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: In this paper we present an extension of Reusken's Lemma about the smoothing property of a multigrid method for solving non-symmetric linear systems of equations. One of the consequences of this extended lemma is the verification of the smoothing property for all damping factors οε(0, 1). Additionally, a semi-iterative smoother is constructed which gives, in some sense, optimal smoothing rate estimates.
    Materialart: Digitale Medien
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  • 92
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 179-183 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
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  • 93
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 185-203 
    ISSN: 1070-5325
    Schlagwort(e): orthotropic partial differential equation ; preconditioned conjugate gradient method ; parallel algorithm ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: Finite element meshes and node-numberings suitable for parallel solution with equally loaded processors are presented for linear orthotropic elliptic partial differential equations. These problems are of great importance, for instance in the oil and airfoil industries. The linear systems of equations are solved by the conjugate gradient method preconditioned by modified incomplete factorization, MIC. The basic method presented, is based on fronts of uncoupled nodes and unlike earlier methods it has the advantage of no requirement of a specific orientation of the mesh. This method is however, in general, restricted to small degree of anisotropy in the differential equation. Another method, which does not suffer from this limitation, uses rotation of the differential equation and spectral equivalence. The rotation is made in such a way that in the new co-ordinate system, the basic method is applicable. The spectral equivalence property is used for estimation of the condition number of the preconditioned system. Both methods are suitable for implementation on parallel computers. The computer architecture could be single instruction multiple data (SIMD) as well as multiple instruction multiple data (MIMD) with shared or distributed memory. Implementation of the basic method on a shared memory parallel computer shows a significant improvement by use of the MIC method compared with the diagonal scaling preconditioning method.
    Zusätzliches Material: 13 Ill.
    Materialart: Digitale Medien
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  • 94
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 221-237 
    ISSN: 1070-5325
    Schlagwort(e): sparse matrix ; iterative methods ; preconditioning ; graph partitioning ; domain decomposition ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: Domain decomposition methods for finite element problems using a partition based on the underlying finite element mesh have been extensively studied. In this paper, we discuss algebraic extensions of the class of overlapping domain decomposition algorithms for general sparse matrices. The subproblems are created with an overlapping partition of the graph corresponding to the sparsity structure of the matrix. These algebraic domain decomposition methods are especially useful for unstructured mesh problems. We also discuss some difficulties encountered in the algebraic extension, particularly the issues related to the coarse solver.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
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  • 95
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 205-220 
    ISSN: 1070-5325
    Schlagwort(e): elliptic equations ; multilevel methods ; finite element ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: New uniform estimates for multigrid algorithms are established for certain non-symmetric indefinite problems. In particular, we are concerned with the simple additive algorithm and multigrid (V(1,0)-cycle) algorithms given in [5]. We prove, without full elliptic regularity assumption, that these algorithms have uniform reduction per iteration, independent of the finest mesh size and number of refinement levels, provided that the coarsest mesh size is sufficiently small.
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  • 96
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996) 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 97
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 239-249 
    ISSN: 1070-5325
    Schlagwort(e): non-linear equations ; global convergence ; Lagrangians ; non-linear programming ; Lagrangian globalization ; detour potentials ; homotopy methods ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The Lagrangian globalization (LG) method for non-linear equation-solving proposed in [10] is developed through theoretical analysis, the formulation of a particular LG algorithm, and a numerical illustration. New merit functions (termed detour potentials) for non-linear equation-solving, which broaden the LG concept, are also defined.
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  • 98
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 251-254 
    ISSN: 1070-5325
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 99
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 255-274 
    ISSN: 1070-5325
    Schlagwort(e): conjugate gradient method ; preconditioning ; two-level method ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: The presented paper contains a suggestion and an analysis of a two-level preconditioner appropriate for unstructured meshes. The convergence analysis is done for H1-equivalent forms in the two-dimensional case; ways for generalization are discussed, too. The efficiency is demonstrated by numerical experiments.
    Zusätzliches Material: 1 Ill.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 100
    Digitale Medien
    Digitale Medien
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 3 (1996), S. 329-343 
    ISSN: 1070-5325
    Schlagwort(e): iterative methods ; GMRES ; Krylov methods ; incomplete orthogonalization ; quasi-minimization ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik
    Notizen: We describe a Krylov subspace technique, based on incomplete orthogonalization of the Krylov vectors, which can be considered as a truncated version of GMRES. Unlike GMRES(m), the restarted version of GMRES, the new method does not require restarting. Like GMRES, it does not break down. Numerical experiments show that DQGMRES(k) often performs as well as the restarted GMRES using a subspace of dimension m=2k. In addition, the algorithm is flexible to variable preconditioning, i.e., it can accommodate variations in the preconditioner at every step. In particular, this feature allows the use of any iterative solver as a right-preconditioner for DQGMRES(k). This inner-outer iterative combination often results in a robust approach for solving indefinite non-Hermitian linear systems.
    Zusätzliches Material: 9 Tab.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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