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  • 1995-1999  (699)
  • 1997  (699)
  • Theoretical, Physical and Computational Chemistry  (699)
  • Nuclear reactions
  • 1
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 305-310 
    ISSN: 0894-3230
    Keywords: non-covalent interactions ; host-guest complexes ; fluorinated phenyl compounds ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Complexation constants with the macrocyclic azoniacyclophane CP44 and phenyl guest compounds with at least four fluorine atoms or alternatively protons at the ring were obtained by NMR shift titrations in water. The fluorinated compounds show free energies of complexation which are smaller by ΔΔG=3·4-7·7 kJ mol-1 in comparison with the protonated compounds. The NMR shifts induced upon 100% complexation (CIS values) were obtained simultaneously from non-linear least-squares fitting and indicate intra-cavity inclusion in all cases. The CIS values agree roughly with screening constants calculated from aromatic ring current and linear electric field effects, the latter resulting from the permanent charges at the host compound. Molecular mechanics calculations (CHARMm) indicate that intracavity inclusion is possible with all compounds with negligible strain induced (〈1 kJ mol-1) in the macrocycle upon complexation. In contrast, α-cyclodextrin can accommodate fluorinated phenyl compounds only at the rim of the cavity without larger strain. Preliminary data with α-cyclodextrin, obtained by competitive UV-visible titration with methyl orange, indicate again a smaller association free energy (ΔΔG=1·-7 kJ mol-1) for pentafluorphenol compared with normal phenol as guest. © 1997 John Wiley & Sons, Ltd.
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  • 2
    ISSN: 0894-3230
    Keywords: hydrophobic cavity characterization ; cyclophanes ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The guest-binding behavior of two different cyclophane hosts, each being capable of providing a three-dimensionally extended hydrophobic cavity toward aromatic guests, was examined in aqueous media: a steroid cyclophane bearing four rigid cholate moieties and an octopus cyclophane having four flexible double-chain segments. Even though the binding constant for 2,7-dihydroxynaphthalene with the steroid cyclophane was comparable to that with the octopus cyclophane, the guest binding modes were very different from each other, as confirmed by 1H NMR spectroscopy. That is, the steroid cyclophane incorporates the guest into its rigid macrocyclic cavity with axial geometry whereas the octopus cyclophane provides a three-dimensional space created by the macrocyclic skeleton and the flexible hydrocarbon chains so that the long axis of the guest becomes more or less perpendicular to the molecular axis of the host upon complexation. Temperature-dependent molecular recognition by these hosts toward 8-anilinonaphthalene-1-sulfonate was examined by means of fluorescence spectroscopy. Characteristic differences in the guest-binding mode between these hosts were sensitively reflected in the thermodynamic entropy change on host-guest complexation and the temperature-dependent microscopic viscosity experienced by the guest at the binding site. © 1997 John Wiley & Sons, Ltd.
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 254-272 
    ISSN: 0894-3230
    Keywords: π-π interactions ; self-assembly ; catenanes ; cyclophanes ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The recent surge of interest in the control of molecular organization in both the solution state (i.e. self-assembly) and the solid state (i.e. crystal engineering) has led researchers to recognize increasingly the importance of weak non-covalent interactions. The design and synthesis of an efficient molecular construction set are dependent upon a very close interplay between x-ray crystallography and synthetic chemistry. π-π Stacking interactions between π-donors, such as hydroquinone, resorcinol or dioxynaphthalene residues, and π-accepting ring systems, such as bipyridinium or π-extended viologen units, can govern the self-assembly of a variety of complexes and interlocked molecular compounds in both the solid and solution states. Non-covalent bonding interactions (i.e. π-π interactions) can be considered as information vectors: they define and rule the self-assembly processes that lead to the formation of the desired molecular and supramolecular architectures, and thereafter they still govern the dynamic processes occurring within the self-assembled structures and superstructures. The manner in which such molecules and supermolecules can contribute to an understanding of non-covalent interactions at both structural and superstructural levels is described, with reference to numerous examples of self-assembly processes in synthesis, of dynamic processes in the solution state, and of the packing of molecules and molecular complexes in the solid state. © 1997 John Wiley & Sons, Ltd.
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 323-334 
    ISSN: 0894-3230
    Keywords: redox-switched amphiphiles ; ferrocene derivatives ; vesicles ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---Thirty ferrocene derivatives were prepared and their ability to form vesicles in aqueous solution when oxidized was assessed. The compounds included alkyl ferrocenylmethyl ether derivatives of the form C10H9FeCH2OR in which R=octyl, dodecyl, tetradecyl, hexadecyl, octadecyl and eicosanyl. One single-tailed amine derivative, C10H9FeCH2NR2, R=octadecyl, was studied. Alkylferrocene derivatives had the form C10H9FeR in which R=butyl, decyl, tetradecyl, hexadecyl, octadecyl, eicosanyl and docosanyl. Sixteen symmetrical 1,1′-disubstituted ferrocenes were also studied. Three ethers were of the form C10H8Fe-1,1′-(CH2OR),2, R=tetradecyl, hexadecyl and octadecyl. Four corresponding dialkyl derivatives of the form C10H8Fe-1,1′-R2, R=decyl, tetradecyl, hexadecyl and octadecyl, were assessed. Finally, a range of 1,1′-disubstituted ferrocene derivatives were analyzed. These all had the form C10H8Fe-1,1′-(COR)2, for which R has the following identities: octyl, tridecyl, pentadecyl and heptadecyl (ketones); heptadecyloxy, 3-cholesteryl and 3-cholestanyl (esters); and two amides, R=NHC18H37 and N(C18H37)2. The alkyl and ether derivatives could be readily oxidized and formed vesicular aggregates upon sonication. The ketones, esters and amides could be oxidized but the ferricenium derivatives did not form stable aggregates. An interesting observation is that the aggregates formed were vesicular whether the ferrocene derivative had one or two alkyl tails. © 1997 John Wiley & Sons, Ltd.
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  • 5
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 273-285 
    ISSN: 0894-3230
    Keywords: cation-π interactions ; calix[n]arenes ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Non-covalent intermolecular forces have been recognized as a very important part of molecular interactions in complex biological systems. The fundamental functions of living matter such as transcription of genetic information in DNA, spatial arrangement of protein molecules, enzymatic functions or immunity system response are enabled owing to the presence of weak non-covalent forces based on hydrogen bonding interactions, van der Waals interactions, electrostatic interactions, hydrophobic effects, etc. Recently, among them so-called "cation-π" interactions have been proved to contribute to the overall binding process in various artificial or biological systems. Calix[n]arenes have emerged as an important family of molecules with promising applications in many branches of chemistry. Because of their suitable molecular preorganization with aromatic units being "concentrated' in a relatively small space, calix[n]arenes represent interesting compounds exhibiting an enhanced ability for cation-π interactions. The importance of such forces in calix[n]arene chemistry is demonstrated here on several recent examples. © 1997 John Wiley & Sons, Ltd.
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  • 6
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 335-342 
    ISSN: 0894-3230
    Keywords: hydrophobic interactions ; aqueous solutions ; living systems ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---Evidence is provided for the enormous role of hydrophobic interactions in aqueous solutions. It is concluded that complementary functions of hydrophilic and of hydrophobic species are in continuous operation and that these are a conditio sine qua non for the existence of the liquid. With regard to the supermolecular aggregations, hydrophobic interactions are operative on the highest hierarchic levels of the system organization, i.e. at the interface and at the holes around dissolved hydrophobic species. It is further emphasized that water is essential both for the unity and for the differentiation of each living organism. With regard to its role for the differentiation of the body, the hydrophobic interactions are of paramount importance, notably those provided by amphipathic solutes. The cell membrane is considered to be the result of interactions between the highest hierarchic levels of intracellular and extracellular water. The hydrophobic double layer provides the barriers for the separation of intracellular and extracellular water and at the same time the connections for recognition and for exchange of information between them. The DNA structures obtain conservative boundary conditions for their surrounding water systems which do not freeze at -60 °C. These water systems are dynamically superior to all other parts of the water system of the organism. It is suggested that more knowledge about the abilities of liquid water can be obtained by giving appropriate attention to its properties within the living body. © 1997 John Wiley & Sons, Ltd.
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  • 7
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 343-346 
    ISSN: 0894-3230
    Keywords: charge-transfer complexes ; intrinsic (gas-phase) basicities ; stability ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---The standard Gibbs energy changes for the formation of 1:1 charge-transfer complexes between molecular iodine and several bases in solution at 25·0 °C [ΔG0l2(soln)] were determined experimentally. The bases were 2,2,2-trifluoro- ethylamine, cyclopropylamine and 1,1,3,3-tetramethylguanidine. These [ΔG0l2(soln)] values, determined in n-heptane, and also that for the formation of the 1:1 complex between 2,2,2-trifluoroethanethiol and molecular iodine in dichloromethane, were found to follow with excellent precision the correlation equations linking ΔG0l2(soln) and the intrinsic (gas-phase) basicities of N(sp3), N(sp2) and S(sp3) bases. These findings strongly support previous conclusions regarding the relationship between gas-phase and solution reactivity data. © 1997 John Wiley & Sons, Ltd.
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  • 8
    ISSN: 0894-3230
    Keywords: molecular recognition ; non-aqueous titration ; hydrogen bonding ; proton transfer ; pKa shifts ; acid-base catalysis ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Whenever hydrogen bonding is involved in molecular recognition, the possibility of a proton transfer from the donor to the acceptor arises. In most cases the pKa of the donor is far enough above the pKa of the conjugate acid of the acceptor for it to be clear that no proton transfer will occur. However, as the difference between the donor and acceptor pKas decreases, it can become difficult to predict whether a proton transfer will occur. Since most hydrogen bond-driven molecular recognition is studied in low dielectric solvents, non-aqueous titrations can be used to measure the pKas and therefore predict proton transfers. In this paper three studies which involved non-aqueous titrations are summarized. The first deals with distinguishing simple proton transfer from host-guest complex formation. The second involves measuring pKa shifts upon host-guest complex formation. The last is a study of the catalysis of a phosphoryl transfer. In all three scenarios the non-aqueous titration method gave results which would have been difficult to obtain by other means, and which proved crucial for a complete understanding of the molecular recognition process. © 1997 John Wiley & Sons, Ltd.
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  • 9
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 347-350 
    ISSN: 0894-3230
    Keywords: benzene · · · hexafluorobenzene ; supramolecular synthon ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The benzene · · · hexafluorobenzene stacking interaction was evaluated at several levels of theory. At the MP2/6-31G** level, it is estimated that the interaction is stabilizing by approximately 3.7 kcal mol-1. Lower levels of theory perform poorly on this system. This is a fairly strong non-covalent interaction, suggesting this motif may be a valuable supramolecular synthon. © 1997 John Wiley & Sons, Ltd.
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  • 10
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 358-368 
    ISSN: 0894-3230
    Keywords: hydrogen bonding ; RP-HPLC C18 stationary phases ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The linear free energy equationlogk′ = c + rR2 + sπ2H + a∑α2H + b∑β2 + vVxwas applied to the capacity factors for various sets of solutes on C18 stationary phases with aqueous methanol and acetonitrile eluents. Here, k′ are the capacity factors for a series of solutes with a given C18 phase and a given eluent, and R2, π2H, ∑α2H, ∑β2, Vx are parameters or descriptors of the solutes as follows: R2 is an excess molar refraction, π2H is the solute polarizability/dipolarity, ∑α2H and ∑β2 are the solute hydrogen-bond acidity and basicity and Vx is the solute volume. It is shown that although the regression coefficients r, s, a, b and v vary widely within the C18 column and mobile phase used, the ratios r/v, s/v, a/v and b/v are remarkably constant. Thus, for the retention of 25 series of solutes on six different C18 columns with 30-90% aqueous methanol as the eluent, all the 25 LFER equations can be combined into one general equation:logk′ = c + v(0.13 R2 - 0.32 π2H - 0.22 ∑α2H - 0.90 ∑β2O + 1.00 Vx)where only c and v vary from system to system. For 11 other phases for which data are available, the ratios v/A and (v + c)/A are constant, where A is the quantity of stationary phase per unit surface area. Similar results were found with C18 phases and aqueous acetonitrile as eluents. Although a first examination of equations based on the first equation above suggests that various C18 phases behave differently, for example the v coefficient, that is related to the observed hydrophobicity of a stationary phase relative to the mobile phase, varies considerably from phase to phase with the same eluent, a detailed analysis led to the conclusion that all the C18 phases examined have roughly the same hydrophobicity, when the v coefficients are corrected for the quantity of stationary phase per unit surface area. It is suggested that these corrected v coefficients, v/A and (v + c)/A, can be regarded as the ‘intrinsic’ phase hydrophobicity. © 1997 John Wiley & Sons, Ltd.
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  • 11
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 286-291 
    ISSN: 0894-3230
    Keywords: chiral recognition ; cyclodextrins ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---The mechanisms for chiral recognition by cyclodextrins (CDxs) are discussed. Examples of host-guest systems where the "lock-and-key mechanism" and the "three-point rule" are applicable are cited and discussed. Most results reported so far suggest that the ability of native CDxs and chemically modified CDxs to discriminate between enantiomers of guests having a central chirality is low in aqueous solutions. Small ΔΔG values for enantioselective complexation of CDxs with amino acids seem to be due to unpredictably small changes in the structures of the complexes of the guest enantiomers. Therefore, it is very difficult to prove the participation of hydrogen bonding in chiral recognition through the "three-point rule" in these systems. The use of the Coulomb interaction and the coordinate bonds as point interactions is discussed. CDxs might be good hosts to recognize axial chirality or helicity of guests. Hydrogen bonding in water is assumed in the recognition of the helicity of bilirubin. Very large ΔΔG values have been reported for the chiral recognition of the binaphthyl derivatives. Such a system seems to be a suitable model system to study the mechanism of chiral recognition by CDxs. © 1997 John Wiley & Sons, Ltd.
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  • 12
    ISSN: 0894-3230
    Keywords: aryliminodimagnesium ; condensation with NO2 and CO groups ; addition to CN group ; single electron transfer efficiency ; σ-complexation ability ; inter- and intramolecular competition ; bifunctional substrates ; positional effect of functional groups ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---The reactions of aryliminodimagnesium [ArN(MgBr)2, IDMg] with p′-substituted p-cyanobenzophenones, 1-cyano-9-fluorenone, o-, m- and p-dicyanobenzenes and o-, m- and p-nitrobenzonitriles were examined, and the relative yields of products were referred to the previous results of electron spin resonance studies. The products of condensation with carbonyl and nitro groups and of addition to cyano groups were formed. From the variations of the yields caused by the molar ratio of the magnesium reagent versus substrates and by the substituents of both reactants, the preferred groups were determined. The groups of p- and m-substrates are consistent with the position of highest density of free electrons in the anion radicals, whereas those of the o-substrates are inconsistent. The consistency indicates competition of functional groups reflecting the relative ability of single electron acceptance from the reagent, whereas the inconsistency is ascribed to cooperation of neighbouring groups for σ-complexation with the Mg atom of the reagent. The categories of competition and cooperation are discussed in relation to fundamental features and general governing factors proposed for the IDMg reactions of monofunctional substrates. © 1997 John Wiley & Sons, Ltd.
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  • 13
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 383-395 
    ISSN: 0894-3230
    Keywords: hydrogen bond strength ; organic groups ; isotopic substitution ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Although the electronic contribution to the strength of a H-bond is unaffected by isotopic substitution, the heavier mass of deuterium compared with protium lowers some of the vibrational frequencies in the complex. The binding energy of the complex, which includes zero-point and thermal vibrational energies, can thus be altered by several tenths of a kcal mol-1 by H/D substitution. Ab initio calculations are used to analyze this phenomenon in a number of common organic functional groups that are prone to form H-bonds: hydroxyl, carboxyl and amide, both self-complexing as homodimers and with water molecules as partners. It is found that any site of D-substitution increases the complexation energy; however, the bridging sites show a stronger preference for D over H than do the non-bridging, or terminal, sites. Hence D-bonding can be considered to be stronger than H-bonding in these functional groups. Of the groups considered, the energetic preference for D over H is greater in the hydroxyl group, so deuterium would be expected to gravitate toward solvent water molecules in isotopic scrambling experiments. The increments in H-bonding energy resulting from each site of substitution are addititve in cases of multiple substitution. © 1997 John Wiley & Sons, Ltd.
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  • 14
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 253-253 
    ISSN: 0894-3230
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
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  • 15
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 405-413 
    ISSN: 0894-3230
    Keywords: non-covalent interactions ; thermodynamic hydrogen bond parameter ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---This paper describes how empirical free energy and/or enthalpy values for hydrogen binding strength are derived from thousands of corresponding measurements between H-bond donors and acceptors, mostly in carbon tetrachloride, and how they can be used to construct common scales or factor values (increments) also for other reactions involving electron donor and acceptor ability of functions. The corresponding databases and programs (HYBOT) allow one to predict thermodynamic values for experimentally unknown equilibria, including also ionophore complexes with crown ethers or cryptands. Applications in QSAR involve the prediction of lipophilicity from any structure on the basis of only two variables, e.g. 234 systems are described this way with a correlation coefficient r=0·96. Similarly, permeabilities and some biological properties such as narcotic activities of chemicals and anti-HIV-1 activity of some porphyrins are evaluated. © 1997 John Wiley & Sons, Ltd.
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  • 16
    ISSN: 0894-3230
    Keywords: inclusion complexation ; cyclobis (paraquat-p-phenylene) ; cyclophanes ; substituted aromatics ; cooperative non-covalent cavity ; external interactions ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---The cooperative nature of non-covalent interactions which give rise to inclusion complexes involving cyclobis(paraquat-p-phenylene), 14+, and related cyclophane derivatives, 24+-44+, with substituted 1,4-phenyl and 4,4′-biphenyl guests has been studied by spectroscopic techniques and ab initio and semiempirical molecular orbital methods. Inclusion complex formation and stability are primarily determined by the combination of two main interaction modes involving aromatic stacking of the guest within the cyclophane cavity and external interactions between guest side arms and the exterior of the cyclophane. A balance between cavity and external forces results in supramolecular association and is shown to change depending upon the functionality and substitution of the guest. Cavity binding was probed using 1,4-phenyl and 4,4′-biphenyl guests, where for the 1,4-phenyl guests the primary basis for energy stabilization with 14+ is found to be short-range stabilizing electrostatic forces complemented by small amounts of polarizability and charge-transfer. In contrast, the cavity binding between substituted 4,4′-biphenyl guests and 14+ is determined by almost equal contributions of polarizability and electrostatics. The effect of solvent is shown to have only a small effect on the computed geometry of 14+ complexes, but its impact upon binding energies is substantial. The first solvation shell of the cyclophanes is computationally approximated by 12 acetonitriles and satisfies the requirements of the 16 relatively acidic protons on the bipyridinium groups. Good correlations between the computed (with solv ation) and experimental 14+ binding energies are found. The degree of linear correlation improves substantially when the comparison between computed and experimentally observed binding energies is restricted to structurally similar (number of aromatic rings, number of substituents and position of substitution) molecular guests. Furthermore, computed molecular properties, such as polarizability, maximum hardness, softness and electronegativity of the isolated guests, correlate well with 14+ binding energies based upon the same requirement of guest similarity. The non-covalent forces associated with the external cyclophane interactions were studied with guest molecules built from symmetrical 1,4-extensions of hydroquinone composed of aliphatic or ethyleneoxy side arms. In particular, side arm length and functionality, and the position and type of heteroatoms along the chain, were systematically varied to define the external interactions between the guest side arms and different host cyclophanes. Specifically, the ethyleneoxy linkages are shown to provide a large chelate and cooperative effect which direct the binding with 14+. In order to probe further the special geometric and electronic character of 14+, we have synthesized and tested a new supramolecular host, 24+, similar to 14+ but where a pentacycloundecane unit replaces one of the xylyl groups. Both experimental and computed data on the new host emphasize the ideal geometry and electronic nature of the 14+ molecular receptor for aromatic guests. The inclusion complexes discussed in this paper are important not only because they, or similar entities, are the main components of many rotaxanes, catenanes and other switchable molecules, but because the intermolecular interactions involved, such as electrostatics, polarizability and charge-transfer, are ubiquitous in supramolecular chemistry. The information reported on the specific interactions involving the 14+-44+ molecular receptors with substituted aromatic guests can also be extended by analogy to many systems of broad interest. © 1997 John Wiley & Sons, Ltd.
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  • 17
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 233-241 
    ISSN: 0894-3230
    Keywords: surface effects ; radical anions ; benzoyl radical ; coupling of radicals ; surface catalysis ; electron transfer ; reactions in the double laye ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Benzaldehyde in THF reacts with lithium metal to give the expected reduction product, benzyl alcohol, plus benzoin and benzyl as minor products. The kinetics of the overall reaction as well as the partial rate coefficients of the several steps have been determined under various reaction conditions. It was found that adsorption on the surface and electron transfer from the lithium to benzaldehyde are the slow steps. The experimental results show interesting surface effects, and evidence for significant radical intermediates, which were characterized by their epr spectra and trapping experiments, results useful to gain insight into the mechanisms of these and other related reactions. © 1997 John Wiley & Sons, Ltd.
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  • 18
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    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 292-304 
    ISSN: 0894-3230
    Keywords: calixarenes ; bipyridine ; lanthanides ; luminescence ; preorganization ; solvent effect ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---Based on MD simulations, the structures of Eu3+ and EuCl3 complexes of bipyridine-substituted calixarenes in different environments (in vacuo and in acetonitrile and water solutions) were modelled. The data account for the differences in their luminescence properties. The role of the calixarene platform, preorganization of the ligands, and an explicit account of counterions in different environments are analysed. © 1997 John Wiley & Sons, Ltd.
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  • 19
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    Electronic Resource
    Chichester : Wiley-Blackwell
    Journal of Physical Organic Chemistry 10 (1997), S. 311-322 
    ISSN: 0894-3230
    Keywords: enantioselective binding ; gas chromatography ; chiral selection ; permethyl-β-cyclodextrin ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: ---Stochastic molecular dynamics simulations were used to determine the enantiomer retention orders of moderately polar analytes binding to permethylated β-cyclodextrin, a popular chiral stationary phase used in gas chromatography. It is found that averaging over multiple trajectories, each of which are lengthy, is required to faithfully reproduce experiment. From the simulations we find the major binding domain to be the interior of the macrocycle rather than the exterior with most analytes having a preference for associating to the primary rim rather than to the secondary rim. It is also found that the intermolecular forces responsible for holding the complexes together are the short range dispersion forces, and that the enantiodifferentiating forces of the competing diastereomeric complexes are dominated by the van der Waals contributions to the intermolecular energy. © 1997 John Wiley & Sons, Ltd.
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  • 20
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 61 (1997), S. 11-20 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An algorithm for the evaluation of matrix representations of products of permutation operators and of one- and two-electron spin-dependent operators in a spin-adapted basis of the N-electron spin space is presented. In particular, the case of the basis functions in which p' electrons are described by products of singlet-coupled pairs is considered in detail. The N-electron spin integrals are, in this case, reduced explicitly to the (N - p') electron ones. © 1997 John Wiley & Sons, Inc.
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  • 21
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    International Journal of Quantum Chemistry 61 (1997), S. 77-83 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The one-particle density in momentum space γ(p) is studied for diatomic molecules by using the maximum-entropy technique. The knowledge of one or more momentum expectation values 〈pn〉 provides approximations on the density γ(p) for any value of the momentum, which are convergent when increasing the number of known moments. Other unknown expectation values are estimated in terms of the constructed maximum-entropy densities. A numerical study of the quality of the approximations is carried out by means of experimental and theoretical data for the momentum expectation values involved. Experimental errors are also taken into account to have an idea of the sensibility of the results to the information from which they are obtained. © 1997 John Wiley & Sons, Inc.
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  • 22
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    International Journal of Quantum Chemistry 61 (1997), S. 107-116 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: With large Hylleraas-configuration interaction (CI) basis sets highly accurate upper bounds for the lowest 2Po states of the Li isoelectronic series up to Ne are given. The corresponding Hamiltonian H and the operator Σi 〈 j, ▿i ▿j are transformed into nonorthogonal coordinates expressed in interparticle and angular terms. The evaluation of the occurring integrals is reduced to the calculation of well-known auxiliary integrals. Furthermore some expectation values and isotope energies are calculated. The isotope energies are obtained using perturbation theory in first-order approximation. © 1997 John Wiley & Sons, Inc.
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  • 23
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    International Journal of Quantum Chemistry 61 (1997), S. 21-34 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Matrix element formulas for spin-dependent operators in a basis of spin-adapted antisymmetrized products of orthonormal orbitals (configuration-state functions) are presented. The coefficients of one- and two-electron integrals depend only on the form of the spin-dependence of the operator and on the mutual arrangement of the orbitals which are singly occupied in the pertinent pair of the configuration-state functions. The formulas are useful in implementations of relativistic two-component CI approaches, such as the Pauli CI and projected no-pair CI method. They may be readily used within existing nonrelativistic SGA - CI codes. As examples of applications of the new formulae, spin-own-orbit and scalar spin - spin matrix elements were derived. © 1997 John Wiley & Sons, Inc.
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  • 24
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    International Journal of Quantum Chemistry 61 (1997), S. 67-76 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A variation of the frozen-core potential (FCP) method is developed and implemented within the modified version of the method of partial retention of diatomic differential overlap (PRDDO/M). The explicit treatment of core electrons is replaced with a potential based on the actual core-valence integrals rather than upon an arbitrary model potential. The core-valence orthogonality requirement is replaced by an energy shift operator. PRDDO/M/FCP calculations exhibit good agreement with ab initio calculations with the same basis set, while reducing the computational cost significantly. © 1997 John Wiley & Sons, Inc.
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  • 25
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    International Journal of Quantum Chemistry 61 (1997), S. 101-105 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The correlation-function potential-harmonic and generalized Laguerre function method (CFPHGLF) proposed recently by us is used to directly solve the Schrödinger equations of low-lying triplet states n3S (n = 2-5) for a set of heliumlike systems, including He, Li+, and Be2+. The eigenenergies converge fast and steadily with potential harmonics (PH) and generalized Laguerre functions (GLF). With 10 PH, the percentage errors in the convergent ionization energies for 23S, 33S, 43S, and 53S states of the helium atom are 0.548, 0.291, 0.247, and 0.265% relative to the Hylleraas CI variational values. Somewhat better precision is achieved for Li+ and Be2+ systems. © 1997 John Wiley & Sons, Inc.
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  • 26
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    International Journal of Quantum Chemistry 61 (1997), S. 153-153 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: No abstract.
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  • 27
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    International Journal of Quantum Chemistry 61 (1997), S. 181-196 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The charge response quantities of the Lewis acid (A)-basis (B) reactants, reflecting their actual interaction in A-B, are recommended as tools for diagnosing trends in chemical reactivity. These truly two-reactant quantities preserve the memory of the reaction stimulus generated by the presence of the other reactant and are mainly localized in the reaction region. The Fukui function indices (FFI) of separated and interacting reactants are resolved into the pure charge transfer (CT) and CT-induced polarization (P) components, respectively, and a role of the reactant charge relaxations, accompanying the primary charge displacements on the reaction partner is investigated in more detail. The associated reactant off-diagonal responses are included in the resultant in situ FFI, in addition to the usual reactant diagonal contributions. The new collective populational reference frames reflecting the mutual interaction between reactants are introduced and used to describe the FFI of open and closed (isoelectronic) A-B systems. They include the relaxed normal modes of the reactants, externally decoupled modes from the maximum overlap criterion, and the interreactant coupling modes. Their use in describing the open-and closed-system responses in systems consisting of large reactants is tested by illustrative applications to model chemisorption systems: toluene-[V2O5] and water-[(110)-rutile]. The interaction-shaped responses are shown to reflect the chemistry of these surface complexes much better than the corresponding separated reactant quantities; the interaction-dependent coordinate systems are shown to give rise to the most compact description of the relevant CT processes. © 1997 John Wiley & Sons, Inc.
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  • 28
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    International Journal of Quantum Chemistry 61 (1997), S. 541-546 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The hydrated gadolinium(III) ion cluster Gd3+ (H2O)x, with x = 8,9, was studied using density functional theory. The different conformations of the first hydration shell were calculated. For x = 8, the results for the cubic conformation correspond to previously published Hartree-Fock and MP2 results, whereas much lower energies were found for the square antiprismatic and dodecahedral conformations. For x = 9, the energy of the tricapped trigonal prism is nearly identical to the one of the antiprism plus an extra free water molecule. © 1997 John Wiley & Sons, Inc.
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  • 29
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The geometrical and spectroscopic parameters of SiF2, SiCl2, GeF2, GeCl2, SnF2, and SnCl2 were determined using the linear combination of Gaussian-type orbitals-local spin density (LCGTO-LSD) method and employing both the local (LSD) and nonlocal functionals (NLSD) for the exchange-correlation energy. A general good agreement with available experimental information and with previous high-level correlated computations was found. Data on cations and anions are reported for the first time and can be used, together with those on neutral systems, to stimulate future and desirable experimental work on this significant class of molecules. © 1997 John Wiley & Sons, Inc.
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  • 30
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    International Journal of Quantum Chemistry 61 (1997), S. 579-588 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Optical excitation energies of MnO-4, CrO2-4, and RuO4 are calculated using the density functional methodology. A short outline of some important developments in this theory for the determination of excited-state properties is given. A practical working procedure for the calculation of transition energies including multiplet splitting is described. This method is based on a transition-state approach which is connected, as will be shown, to Slater's transition-state concept. Results obtained by this working procedure are compared to the energy differences between separately converged configurations of ground and excited states and the corresponding multiplet structure, denoted as the ΔSCF calculation in the following. © 1997 John Wiley & Sons, Inc.
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  • 31
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    International Journal of Quantum Chemistry 61 (1997), S. 635-639 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electronic structure of the cubo-octahedral Au13 cluster was investigated within a self-consistent molecular-orbital Slater-type-orbital framework. The scalar relativistic calculated density of states (DOS) for the gold cluster under consideration show relatively similar features to those obtained experimentally or theoretically earlier calculated by fully relativistic methods. © 1997 John Wiley & Sons, Inc.
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  • 32
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    International Journal of Quantum Chemistry 61 (1997), S. 647-656 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Calculations of the directional Compton profiles and the anisotropies of Compton scattering are reported, based on the density functional theory in the local density approximation, performed in the plane-wave basis, and using full, unscreened Coulomb potentials for both Li and H atoms. It is shown that converged results can be obtained without employing pseudopotentials, and the Compton profiles obtained are in excellent agreement with experiment. The influence of correlation on Compton profiles in LiH is found to be very weak. Possibilities (and limits) of extending the plane-wave calculations with the full Coulomb potentials to other atoms and substances are discussed. © 1997 John Wiley & Sons, Inc.
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  • 33
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    International Journal of Quantum Chemistry 61 (1997), S. 705-709 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electronic structures of U2Fe2Sn and UFe2Ge2 are self-consistently calculated within the local density functional theory using the augmented spherical wave (ASW) method. Calculations are scalar relativistic. The experimentally observed Pauli paramagnetic behavior of the two systems is accounted for and the influence of hybridization between the different l-states on the chemical bonding is discussed from the site-projected densities of sates (DOS) as well as from the modulation of the DOS by the sign and magnitude of the overlap integral, i.e., with the so-called COOP. From this, we propose a mechanism for the evolution of bonding within the series to which the two compounds belong. © 1997 John Wiley & Sons, Inc.
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  • 34
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    International Journal of Quantum Chemistry 61 (1997), S. 711-717 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: LDA-LCAO molecular orbital calculations were carried out on various clusters modeling a tungsten tip and an Al(100) surface interaction. The surface is depicted by Alx aggregates (x varying from 5 to 66) while the tip is modeled by Wy clusters (y = 1,5,10,14). Electronic structures were obtained for isolated aluminum and tungsten clusters and for interacting Alx(SINGLE BOND)Wy ones. For the latter, the W-A1 equilibrium distance was determined from the total energy results. Total and local densities of states were analyzed vs. cluster sizes. The occupied bandwidth, the Fermi level, and LDOS structures become stable from x equal to 25. Electronic structures obtained through the cluster description are in rather good agreement with a slab calculation for the surface using the same theoretical approach and with other theoretical calculations. The general trends of Al(SINGLE BOND)W interactions are discussed. © 1997 John Wiley & Sons, Inc.
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  • 35
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    International Journal of Quantum Chemistry 61 (1997), S. 741-746 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The model based on the assumption of the existence of an interatomic distance-dependent, local, effective crystal field applied to the alkaline metals (Int. J. Quantum Chem. 52, 321-328 (1994)) is modified and applied to the diamondlike structure crystals (C, Si, Ge, Sn). In the referred to model, a part of the electron density was missed - not included in the calculation (the density in the spaces between the shells). Such an approach could be used for the alkaline metals, but for the covalent crystals, this is a bad approximation. To avoid that problem, we assumed that the atom shells can overlap in such a way that the entire electron density is taken into the calculation. In this case, the electron density is “moved” from the outside of the shells mostly into the interatomic bond region. We applied the modified model to the calculation of the binding energy and the bulk modulus for the diamondlike crystals. The results show that well-chosen parameters allows one to reproduce the proper values of the binding energy at the equilibrium position. The bulk moduli calculated for these crystals are in quite good agreement with ones calculated as (regular crystal structure) B = 1/3(C11 + 2 C12), where C11 and C12 are elastic constants. © 1997 John Wiley & Sons, Inc.
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  • 36
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Previous ab initio computations revealed that the conformational building unit of the right-handed helix (φ ≈ -54°, ψ ≈ -45°) is not an energy minimum on two-dimensional-type Ramachandran potential energy surfaces (E = E{φ, ψ}). Theoretical investigations were performed on several single-amino-acid diamides such as For-Gly-NH2, For-L-Ala-NH2, Ac-L-Ala-NHMe, and For-L-Val-NH2 containing amino acid residues (e.g., Ala) which can often be found in helices as shown by X-ray data analysis of globular proteins. The current ab initio [self-consistent field (SCF)] results (based on four different basis sets [3-21G, 4-21G, 4-21G*, and 6-31G*]) presented point toward an intrinsic (i.e., non-environmental-assisted) stability of the right-handed helical subconformation of a simple amino acid diamide if the residue contains a polar side chain. Such is the case for a serine derivative when its (SINGLE BOND)CH2OH side chain is favorably oriented. For the For-L-Ser-NH2 model compound two slightly different right-handed helical backbone conformations were determined. Depending on the relative orientation of the side chain, the conformational monomer of the 310 helix (a sharper helical structure with an [i, i + 3]-type H-bond network) as well as the building block of the “standard” α-helix (the regular helical structure with an [i, i + 4]-type H-bond network) were determined computationally by geometry optimization. © 1997 John Wiley & Sons, Inc.
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  • 37
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    International Journal of Quantum Chemistry 61 (1997), S. 847-857 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Electron exchange between allyl molecules is studied using quantum chemical ab initio methods in order to model interchain electron transfer (ET) in polyacetylene. The reaction path, reorganization energy for ET (λ), and the electronic factor (Δ) are calculated using the UMP2, CASSCF, CASPT2, and CASSI methods. Changes in bond lengths are very small and their contribution to the internal reorganization energy almost negligible. Only changes in the bond angle leave significant contributions to the reorganization energy. The calculated potential energy surfaces can be represented as interacting parabolic-well potentials only in the case of CASSI. The UMP2, CASSCF, and CASPT2 methods give the localization of the electron even in the symmetric case and incorrect energy surfaces, with a cusp at the symmetry point. The electronic factor Δ is calculated using the two different methods, Koopmans' theorem and CASSI, with the same basis set. They are quantitatively very close for all intermolecular distances under study. However, Δ is sensitive to the basis set and cannot be calculated accurately in the present case. © 1997 John Wiley & Sons, Inc.
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  • 38
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    International Journal of Quantum Chemistry 61 (1997), S. 899-918 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: This article deals with the calculation of the shielding tensor of nuclear magnetic resonance (NMR) spectroscopy based on a scalar relativistic two-component Pauli-type Hamiltonian. A complete formulation of the method within the framework of the gauge including atomic orbitals (GIAO) is given. Further, an implementation, based on density functional theory (DFT) is presented. The new method is applied to the 17O shielding in transition-metal oxo complexes [MO4]n- (M = Cr, Mo, W; Mn, Tc, Rh; Ru, Os) and to the metal chemical shift in transition-metal carbonyls M(CO)6 (M = Cr, Mo, W). This represents the first calculation of heavy-element shifts that is based on a relativistic first-principle quantum mechanical method. The inclusion of relativity is crucial for a proper description of ligand and metal shieldings in 5d complexes, but it is also important in 4d complexes. Limitations of the method, among them the neglect of the spin-orbit coupling, are discussed in detail. © 1997 John Wiley & Sons, Inc.
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  • 39
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    International Journal of Quantum Chemistry 61 (1997), S. 935-941 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Correlation of a quantum many-body state makes the one-particle density matrix nonidempotent. Therefore, the Shannon entropy of the natural occupation numbers measures the correlation strength on the one-particle level. Here, it is shown how this general idea of a correlation entropy must be adapted for two-electron systems in view of conservation laws which mix Slater determinants even in the noninteracting limit. Results are presented for the correlation entropy s of H2 as a function of the nucleus-nucleus separation R. In the ground state, the entropy of the spatial factor of the wave function maximizes 1.7 bohr beyond the Coulson-Fischer separation. The role of the correlation entropy in density functional theory is also discussed. © 1997 John Wiley & Sons, Inc.
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  • 40
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    International Journal of Quantum Chemistry 61 (1997), S. 981-990 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Geometry optimization of small (H2O)n+ clusters (n ≤ 4) at the UHF/4-31 + + G** level indicates that the cations consist of two fragments: the OH radical and the H2n-1 O+n-1 ion. The latter can be considered as a thermodynamically stable combination of a distorted H3O+ ion and (n-2) H2O molecules. The H bond between the fragments becomes weaker with increasing cluster size. Extrapolation of the adiabatic ionization potentials calculated for the (H2O)n oligomers (n ≤ 4) at the MP2 level to an infinite cluster size provides the value of approximately 8.7 eV, which can be presumably necessary for the ionization of liquid water in a vacuum. © 1997 John Wiley & Sons, Inc.
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  • 41
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    International Journal of Quantum Chemistry 62 (1997), S. 125-135 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We apply an algebraic technique to describe the evolution of a parametric harmonic oscillator forced by a constant quartic potential. As the first step, we make use of iterative Bogolubov transformations (IBT) to incorporate information from the anharmonic part of the interaction in a nonperturbative form, yielding a unitary time-evolution operator. Later on, we make use of first-order perturbation theory to deal with that part of the interaction which was not incorporated previously. We show numerically that the resulting time-evolution operator is closer to unitarity than is the one obtained if no IBT is applied. The quantum fluctuations of position and momentum are evaluated for “the ground” state. Squeezing and correlation effects are observed. © 1997 John Wiley & Sons, Inc.
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  • 42
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    International Journal of Quantum Chemistry 62 (1997), S. 153-165 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In any optimization using the augmented Hessian technique, the step is not restricted to any length. Since the restriction of the step at each iteration is very important in order to achieve good convergence, we present a coupled method such that the augmented Hessian automatically gives both the adequate length of the step and the correct Hessian structure. The method is showed for the minima and saddle points of any order. © 1997 John Wiley & Sons, Inc.
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  • 43
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    International Journal of Quantum Chemistry 61 (1997), S. 665-671 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The self-consistent reaction field scheme for taking into account solvent effects was implemented in the density functional deMon program. Both the electrostatic and the dispersion contributions of solute-solvent interactions were included in the developed procedure. Test calculations were performed with systems in which the dipole moments assume zero values (trans rotamers). Results for the geometrical structure and conformational equilibrium of 1,2-dichloroethane and glyoxal systems in different media are in agreement with available experimental data and previous theoretical studies. © 1997 John Wiley & Sons, Inc.
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  • 44
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    International Journal of Quantum Chemistry 61 (1997), S. 689-697 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A comparison of DFT-LSD-CGA (DZVP/A1 and DZVP2/A2) and restricted Hartree-Fock (RHF) (6-31G and 6-311G**) results on geometries, dipole moments, and electric polarizabilities of a series of molecules incorporating quinoid or phenyl groups in the skeleton is reported. DFT results, obtained with substantially less computational effort, compare favorably with RHF results. © 1997 John Wiley & Sons, Inc.
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  • 45
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    International Journal of Quantum Chemistry 61 (1997), S. 859-863 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Ab initio calculations are used to compute the change in the vibrational frequency of CN with an applied electric field aligned parallel to the bond axis. The effect of the field on the CN- vibrational frequency is of the same magnitude as for CN, but in the opposite direction. These results are compared to previous results for CO. © 1997 John Wiley & Sons, Inc.
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  • 46
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    International Journal of Quantum Chemistry 61 (1997), S. 865-879 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A theoretical investigation on the rates of electron-transfer processes Q-I + QII → Q-I + Q-II and Q-I + Q-II → QI + Q2-II was carried out by using the Marcus theory of long-range electron transfer in solution. The molecular reorganizational parameter λ, the free-energy change ΔG0 for the overall reaction, and the electronic matrix element HDA for these two processes were calculated from the INDO-optimized geometries of molecules QI, QII, and histidine. QI and QII are plastoquinones (PQ) which are hydrogen-bonded to a histidine each, and the two histidines may or may not be coordinated to a Fe2+ ion. The plastoquinone representing QI is additionally flanked by two peptide fragments. Each of the species (Pep)2QI · His and His · QII has been considered to be immersed in a dielectric continuum that represents the surrounding molecules and protein folds. INDO calculations confirm the standard reduction potential for the first process (calculated 0.127 V; observed 0.13 V) and predict a midpoint potential of 0.174 V for the second process at 300 K at pH 7 (experimental value remains uncertain but is known to be close to 0.13 V). The plastoquinone fragment carries almost all the net charge (about 95.7%) in [PQ · His]- and the net charge in [PQH · His]-. The electron is transferred effectively from the plastoquinone part of [(Pep)2QI · His]- to the plastoquinone moiety of QII · His in the first step and to the plastoquinone fragment of HisH+ · Q-II in the second step. Therefore, we made use of the formula for the rate of through-space electron transfer from QI to QII (and to Q-II). The plastoquinones are, of course, electronically coupled to histidines, and the transfer is, in reality, through the molecular bridge consisting of histidines and also Fe2+. The through-bridge effect is inherent in our calculation of ΔG0, HDA, and the reorganization parameter λ. We investigated the correlation between half-times for the transfer and (D-1op- D-1s), where Dop and Ds are, respectively, optical and static dielectric constants of the condensed phase in the vicinity of the plastoquinones. We found that with reasonable values of Dop (2.6) and Ds (8.5) the experimental rates are adequately explained in terms of transfers from the plastoquinone moiety of QI to that of QII. The t1/2 values calculated for the two processes are 247 and 472 μs in the absence of Fe2+ and 134 and 181 μs in the presence of Fe2+. These are in good agreement with the observed values which are ≈ 100 and ≈ 200 μs when Fe2+ is present in the matrix and which are known to be almost twice as large when the Fe2+ is evicted from the matrix. The present work also shows that the Marcus-Hush theory of long-range electron transfers can be successfully applied to the investigation of processes occurring in a semirigid condensed phase like the thylakoid membrane region. © 1997 John Wiley & Sons, Inc.
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  • 47
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    International Journal of Quantum Chemistry 61 (1997), S. 943-952 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Correlation-consistent valence basis sets were developed for the third-row main block elements (K, Ca, Ga - Kr) for use with relativistic effective core potentials. These basis sets are somewhat larger than double-zeta in size, with polarization functions, and are balanced for use in both Hartree-Fock and correlation calculations. Spin-orbit splittings for atoms and molecules are calculated and compared to experiment. These calculations use the approximate spin-orbit operator from the relativistic effective core potentials. The use of these results in the calculation of accurate thermochemical data is discussed. © 1997 John Wiley & Sons, Inc. This article is a US Government work and, as such, is in the public domain in the United States of America.
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  • 48
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    International Journal of Quantum Chemistry 62 (1997), S. 185-197 
    ISSN: 0020-7608
    Keywords: alloy clusters ; isomers ; homotops ; isomerization ; meltinglike transition ; surface melting ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Structural and dynamical properties of model 13-atom NinAlm alloy clusters derived from a many-body potential are presented and discussed. Characterization of the structures corresponding to a given stoichiometric composition (i.e., chosen number of Ni and Al atoms) is carried out in terms of isomeric (geometric) forms and different distributions of the two types of atoms between the sites of a chosen isomer. We use the term homotops (“the same topography or geometry”) to label the structural forms that differ only by these distributions. The number and the energy spectra of the homotops are sensitive functions of the stoichiometric composition and isomeric form. Similarly to homogeneous clusters, alloy clusters undergo a solid-to-liquidlike transition as their energy is increased. Individual stages in the transition, such as isomerizations involving only surface atoms, isomerizations involving all atoms, surface melting (in a system as small as 13 atoms), and complete melting are identified and characterized. The actual occurrence of some or all of these stages in the meltinglike transition of a given cluster depends on the character of the energy spectra of its homotops, i.e., ultimately, on its stoichiometric composition. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 62: 185-197, 1997
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  • 49
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    International Journal of Quantum Chemistry 62 (1997), S. 223-235 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: New formulas in the basis of explicitly correlated Gaussian basis functions, derived in a previous article using powerful matrix calculus, are implemented and applied to find variational upper bounds for nonrelativistic ground states of 4He, ∞He, Ps2, 9Be, and ∞Be. Analytic gradients of the energy are included to speed optimization of the exponential variational parameters. Five different nonlinear optimization subroutines (algorithms) are compared: TN, truncated Newton; DUMING, quasi-Newton; DUMIDH, modified Newton; DUMCGG, conjugate gradient; and POWELL, direction set (nongradient). The new analytic gradient formulas are found to significantly accelerate optimizations that require gradients. We found that the truncated Newton algorithm out-performs the other optimizers for the selected test cases. Computer timings and energy bounds are reported. © 1997 John Wiley & Sons, Inc.
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  • 50
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    International Journal of Quantum Chemistry 62 (1997), S. 363-372 
    ISSN: 0020-7608
    Keywords: bioenergetics ; organized collective behavior ; nonlinear kinetic equations ; nonequilibrium thermodynamics ; informational statistical thermodynamics ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We consider the emergence of the so-called Fröhlich's effect in a biosystem, a phenomenon consisting of the condensation of excitations in the polar vibrational modes lying at the bottom of these modes' frequency spectrum. This complex behavior of the system, which seems to have relevance in bioenergetics, may arise in open biomaterial, which is governed by nonlinear kinetic equations, and when under the action of a pumping source of metabolic energy. We analyze here in detail the dynamics of (i) the transient stage before the establishment of a steady state and (ii) the relaxation to the original thermodynamic equilibrium state after the pumping source is turned off. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 62: 363-372, 1997
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  • 51
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The radial functions Pi in the nonrelativistic description of the electronic structure of atoms are solutions of eigenvalue equations. These equations are treated as two-point boundary value problems for bound one-electron states and can be solved to high accuracy with finite difference methods. For these numerical techniques the transformation to a suitable new radial variable is essential. The effects and consequences following from an arbitrary suitable variable transformation are studied in the most general way. Important results following from this general analysis are the extension of the range of application of the standard Numerov scheme and the outline for an algorithm of increased overall efficiency and reliability. Especially, the explicit use of transformed solution functions is shown to be unnecessary. Radial functions can be determined for arbitrary effective potentials resulting from the underlying theoretical description. It is demonstrated that all numerical results can be calculated to within a consistent numerical truncation error of order h4 in the grid point spacing. The approach can be extended to handle unbound one-electron states and is applicable in other fields, where differential equations of similar character occur, e.g., in the description of the vibration of a diatomic molecule. A similar analysis for relativistic electronic structure calculations for atoms will be given in Part II. © 1997 John Wiley & Sons, Inc.
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  • 52
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    International Journal of Quantum Chemistry 63 (1997), S. 111-119 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: This article investigates a new approach to local approximations to exchange. When a finite basis set is introduced, any operator may be regarded as equivalent to a local operator if its matrix can be reproduced as the matrix of a multiplicative function operator. The expectation values of such operators can be determined from the electron density. Any matrix can be divided into local and nonlocal components, in a way dependent on linear dependencies among basis-set products. A measure of locality is provided by the ratio of the norm of the local component to that of the whole matrix. The local contribution to an expectation value can also be compared with the total. The self-consistent field exchange matrices and their expectation values for atoms Li through Ne and for LiH and HF with several Cartesian Gaussian basis sets were investigated in this way, and for the atoms, the exchange supermatrix was also examined. It has been found in all cases that the matrices and expectation values are more than 92% local; most are more than 99% local. © 1997 John Wiley & Sons, Inc.
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  • 53
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    International Journal of Quantum Chemistry 62 (1997), S. 571-591 
    ISSN: 0020-7608
    Keywords: atomic correlation ; density functional ; scaling ; Hartree-Fock ; excited states ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In the introductory section, we compare the total, kinetic, nuclear-electron, Coulomb, exchange, and correlation energies of ground-state atoms. From the analyses of the data, one can conclude that the Hartree-Fock (HF) model is notably good and might require only a small perturbation to become essentially an “accurate” model. For this reason and considering past literature, we present a semiempirical extension of the HF model. We start with a calibration of three independent models, each one with an effective Hamiltonian, which introduces a small perturbation on the kinetic, the nuclear-electron, or the Coulomb HF operators. The perturbations are expressed as very simple functions of products of orbital probability density. The three perturbations yield very equivalent results and the computed ground-state energies are reasonably near to the accurate nonrelativistic energies recently provided by E. Davidson and his collaborators for the 2-18 electron systems and the estimates by Clementi and his collaborators for the 19-54 electron systems. The first ionization potentials from He to Cs, the second ionization potentials from Li to Zn, and excitation energies for npn, 3dn, and 4s13dn configurations are used as additional verification and validation. The above three effective Hamiltonians are then combined in order to redistribute the correlation energy correction in a way which exactly satisfies the virial theorem and maintains the HF energy ratios between kinetic, nuclear-electron, and electron-electron interaction energies; the resulting effective Hamiltonian, named “virial constrained,” yields good quality data comparable to those obtained from the three independent effective operators. Concerning excitation energies, these effective Hamiltonians yield values only in modest agreement with experimental data, even if definitively superior to HF computations. To further improve the computed excitation energies, we applied an empirical scaling in the vector coupling coefficient; this correction yields very reasonable excitations for all the configurations that we have considered. We conclude that the use of effective potentials to introduce small perturbations density-dependent onto the HF model constitutes a broad class of practical and reliable semiempirical solutions to atomic many-electron problems, can provide an alternative to popular proposals from density functional theory, and should prepare the ground for “generalized HF models.” © 1997 John Wiley & Sons, Inc. Int J Quant Chem 62: 571-591, 1997
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  • 54
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    International Journal of Quantum Chemistry 62 (1997), S. 653-658 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The possibility to predict the stability constants of the complexes of magnesium, zinc, cadmium, and lead cations with anions of different carboxylic acids by PM3 calculations was investigated. Linear correlation between calculated complex-formation reaction enthalpies and experimentally measured stability constants were obtained for complexes of each metal, while the overall correlation was not satisfactory. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 62: 653-658, 1997
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  • 55
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    International Journal of Quantum Chemistry 63 (1997), S. 1-2 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: No abstract.
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  • 56
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    International Journal of Quantum Chemistry 63 (1997), S. 31-33 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A very simple constructive proof of Löwdin's pairing theorem is presented. © 1997 John Wiley & Sons, Inc.
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  • 57
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    International Journal of Quantum Chemistry 63 (1997), S. 39-48 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The relations between the general form of Carbó's quantum similarity measure and the similarity measure based on the Löwdin transform of approximate density matrices are discussed. These relations provide the basis for the study of macromolecular forces and small deformations of electron densities induced by limited changes of nuclear configurations of both small and large molecules. © 1997 John Wiley & Sons, Inc.
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  • 58
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    International Journal of Quantum Chemistry 63 (1997), S. 93-97 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Calais and Löwdin developed a simple method using the interelectronic distance as an integration variable to treat two-electron integrals occurring in correlated nonrelativistic atomic calculations. This contribution merges their method with a related one to further evaluate two-body integrals occurring in relativistic configuration interaction calculations. © 1997 John Wiley & Sons, Inc.
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  • 59
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    International Journal of Quantum Chemistry 63 (1997), S. 105-109 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The scaling-nesting similarity measures were proposed earlier for an intuitively simple shape comparison of molecular “bodies” enclosed by isodensity surfaces. Similarity measures have extended utility and provide rigorous comparisons which can be treated by well-known mathematical techniques if they fulfill the conditions for a metric. Here, a proof is presented showing that the symmetric scaling-nesting dissimilarity measure is indeed a proper metric. Some additional features, relevant to the newly proven properties of these similarity measures, are discussed. © 1997 John Wiley & Sons, Inc.
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  • 60
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    International Journal of Quantum Chemistry 63 (1997), S. 393-401 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Heteroatomic cages (BN/2NN/2) with borons and nitrogens fully replacing alternant sets of carbons in cages are built graph-theoretically and investigated via the semiempirical MNDO Hamiltonian. The comparison with their parent carbon cages CN is made in terms both of electronic and of geometric changes. Infinite classes first of octahedral symmetry and second of hexagonal-bipyramidal symmetry fullerenoid cages are considered in detail. The difference in the electronegativities for boron and nitrogen implies the opening of HOMO-LUMO gaps for alternant BN clusters. In general, the borons prefer planar geometry (sp2 hybridization) while the nitrogens prefer pyramidalization (sp3 hybridization). © 1997 John Wiley & Sons, Inc.
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  • 61
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    International Journal of Quantum Chemistry 63 (1997), S. 3-3 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: No abstract.
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  • 62
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    International Journal of Quantum Chemistry 63 (1997), S. 5-14 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Because of the high degeneracy of hyperspherical harmonics, a method is needed for selecting the most important ones for inclusion in hyperangular basis sets. Such a method was developed by M. Fabre de la Ripelle, who showed that the most important harmonics are λ-projections of the product of the potential and a zeroth-order wave function; and he gave these the name, “potential harmonics.” In the present study we develop Fourier-transform-based methods for generating potential harmonics and for evaluating matrix elements between them. These methods are illustrated by a small calculation on three-body Coulomb systems with a variety of mass ratios. © 1997 John Wiley & Sons, Inc.
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  • 63
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    International Journal of Quantum Chemistry 63 (1997), S. 23-30 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A mathematically rigorous treatment of the antisymmetrized geminal power (AGP) model is given. The model is advocated as an extremely flexible tool for studying a wide variety of fermion systems, characterized by a single Slater determinant, on the one hand, or Yang's most highly correlated wave function, on the other. When the first-order reduced density matrix of the actual system has eigenvalues which are evenly degenerate, the model can treat one-particle properties exactly. A formula is obtained for the precise energy of an AGP state in the Born-Oppenheimer approximation. An estimate is given of the error which occurs when the second-order density matrix of an AGP state is approximated by the widely used expression involving the so-called anomalous Green's function. © 1997 John Wiley & Sons, Inc.
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  • 64
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    International Journal of Quantum Chemistry 63 (1997), S. 49-56 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The utility of the character projection operator in determining the symmetry of molecular orbitals and in the construction of hybrid bond orbitals is discussed. Examples from the author's work are mentioned. These are topics which this author discussed in detail with Jean-Louis Calais during the past 25 years. © 1997 John Wiley & Sons, Inc.
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  • 65
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    International Journal of Quantum Chemistry 63 (1997), S. 99-104 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The integer quantum Hall effect is analyzed by counting the occupied localized and extended states and studying the variation of their numbers as a function of magnetic field. This provides the simplest but complete understanding of the effect besides revealing some new results. © 1997 John Wiley & Sons, Inc.
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  • 66
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    International Journal of Quantum Chemistry 63 (1997), S. 121-131 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Results from close coupling sensitivity density-based analyses are compared for some representative nonadiabatic collisions with those from Landau-Zener-Stueckelberg (LZS) and adiabatic analyses. These results seem to indicate that while for simple systems modeled by potential energy curves devoid of competing features LZS and adiabatic approaches also offer qualitatively correct insights these can be misleading for dynamics evolving on potential energy curves with competing features. The close-coupling sensitivity densities seem to offer a more reliable guide for detailed understanding of the impact of structure in potential energy curves and coupling matrix elements in the collisional outcome. © 1997 John Wiley & Sons, Inc.
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  • 67
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    International Journal of Quantum Chemistry 63 (1997), S. 165-188 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The main formal aspects of the TB-LMTO and the screened KKR method are reviewed in terms of multiple scattering theory (scattered wave method) as based on a general reference medium. In terms of the corresponding Green's functions, a comparison is made between these two approaches listing similarities and differences and advantages and disadvantages. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 165-188, 1997
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  • 68
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    International Journal of Quantum Chemistry 63 (1997), S. 197-214 
    ISSN: 0020-7608
    Keywords: group theory ; hybrid functions ; gaussian quadrature ; alias functions ; solid harmonics ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A general solution is presented to the problem of finding hybrid functions which point from the center toward the vertices of a regular solid. Results are given for the examples of 6, 8, 12, and 24 vertices. By taking linear combinations with suitable alias functions, the hybrids have been given nodes passing through all vertices except their own. This allows them to be used for interpolation and quadrature. The various functions required are defined as solid harmonics and group theoretical methods of generating these are discussed fully. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 197-214, 1997
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  • 69
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    International Journal of Quantum Chemistry 63 (1997), S. 223-227 
    ISSN: 0020-7608
    Keywords: bloch functions ; born-von kármán region ; momentum space ; reciprocal space ; wave vectors ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An attempt is made to present the connection between periodic boundary conditions and discrete wave vectors in a systematic fashion, with the continuous wave vectors as an extreme special case. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 223-227, 1997
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  • 70
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    International Journal of Quantum Chemistry 63 (1997), S. 257-268 
    ISSN: 0020-7608
    Keywords: reference space ; effective Hamiltonian ; generalized bloch equation ; quartic anharmonic oscillator ; H2O molecule ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Recently, we proposed an iteration method for solving the eigenvalue problem of the time-independent Schrödinger equation [H. Meißner and E. O. Steinborn, Int. J. Quantum Chem. 61, 777 (1997)]. The eigenfunctions are expanded in terms of a basis set. The wave-function expansion coefficients (WECs) are matrix elements of the wave operator. They are determined iteratively by utilizing a reference space, the concept of an effective Hamiltonian, and the generalized Bloch equation. In this article, the WEC iteration method is applied to the calculation of the ground state and of some excited states of a quartic anharmonic oscillator, i.e., a Boson system, using a large reference space, as well as of the H2O molecule, i.e., a Fermion system. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 257-268 1997
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  • 71
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    International Journal of Quantum Chemistry 63 (1997), S. 685-693 
    ISSN: 0020-7608
    Keywords: electrostatic model ; adsorption ; sodium chloride surface ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A previously proposed electrostatic model for physisorption at ionic solids is extended to multiple adsorption of small molecules. A new algorithm is developed to avoid interpenetration of the interacting systems. The geometry optimization procedure is described. Ab initio calculations are used for the application of the method to the adsorption of CO and CO2 at NaCl(100) surfaces simulated by Na25Cl25 clusters. The orientation of the adsorbate molecules in dependence on the cumulative atomic multipole moments (CAMMs) of the cluster atoms is discussed. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 685-693, 1997
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  • 72
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    International Journal of Quantum Chemistry 63 (1997), S. 935-947 
    ISSN: 0020-7608
    Keywords: radial Schrödinger equation ; polynomial oscillators ; Bessel basis ; integrals containing Bessel functions ; perturbed Coulomb potentials ; accurate eigenvalue calculations ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The efficient technique of expanding the wave function into a Fourier-Bessel series to solve the radial Schrödinger equation with polynomial potentials, $V(r)=\sum_{i=1}^{K} v_{2i} r^{2i}$, in two dimensions is extended to N-dimensional space. It is shown that the spectra of two- and three-dimensional oscillators cover the spectra of the corresponding N-dimensional problems for N. Extremely accurate numerical results are presented for illustrative purposes. The connection between the eigenvalues of the general anharmonic oscillators and the confinement potentials of the form $V(r)=-Z/r+\sum_{i=1}^{K-1} c_i r^i$ is also discussed. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 935-947, 1997
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    International Journal of Quantum Chemistry 63 (1997), S. 1001-1022 
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Using variational Monte Carlo, we compare the features of 118 trial wave function forms for selected ground and excited states of helium, lithium, and beryllium in order to determine which characteristics give the most rapid convergence toward the exact nonrelativistic energy. We find that fully antisymmetric functions are more accurate than are those which use determinants, that exponential functions are more accurate than are linear function, and that the Padé function is anomalously accurate for the two-electron atom. We also find that the asymptotic and nodal behavior of the atomic wave function is best described by a minimal set of functions. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 1001-1022, 1997
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  • 74
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    International Journal of Quantum Chemistry 64 (1997), S. 1-5 
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes:    © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 1-5, 1997
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  • 75
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A brief review is given of the development of modern sciences from the early 1800s to the establishment of modern quantum theory around 1925 leading to modern theoretical chemical physics. Special attention is given to the interplay between mathematics, physics, and chemistry and to show how the development in one science strongly influences the development in the other sciences. A special section is devoted to the interplay between basic and applied research and to the interesting phenomenon that one may very likely get more and better technological applications if basic research is left to flourish on its own. In this connection, the relation between teaching and basic research is also discussed. Finally, the importance of modern science for the protection of our global environment is briefly reviewed.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 157-169, 1997
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  • 76
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    International Journal of Quantum Chemistry 64 (1997), S. 205-210 
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Two density-functional methods, B3/LYP/6-31+G(d) and B3/PW91/6-31G(d, p) have been used to investigate some possible decomposition pathways for methyl nitrate. Two likely ones were found to be (a) loss of NO2, followed by eventual rearrangement to H2C(SINGLE BOND)OH, and (b) formation of H2C(DOUBLE BOND)O and HONO. The initial energy requirement for each process is about 40 kcal/mol, and the second is exothermic, ΔH=-16 kcal/mol of H3C(SINGLE BOND)ONO2. The B3/LYP procedure is found to underestimate the H3CO(SINGLE BOND)NO2 and H3C(SINGLE BOND)ONO2 dissociation energies by about 6 kcal/mol.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 205-210, 1997
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  • 77
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    International Journal of Quantum Chemistry 64 (1997), S. 249-254 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Etiocholanes are metabolites of androstenedione (4-androsten-3,17-dione) and testosterone (17β-hydroxy-4-androsten-3-one). These compounds are produced by the action of 5-reductases which break the π double bond of the androstenes at C4 and C5. The most important etiocholanes are 5β-androstanedione (etiocholanedione), 3α-hydroxy-5β-androstan-17-one (etiocholanolone), 3β-hydroxy-5β-androstan-17-one (epietiocholanolone), and 17β-hydroxy-5β-androstan-3-one (5β-dihydrotestosterone; 5βDHT). Among their most important biological effects are depression of the central nervous system, relaxation of smooth muscle, and stimulation of sexual behavior. The intent of the present study is a determination of the effects of carbonyl and hydroxyl groups at C3 and C17 on the electronic structure of these androgens, in an attempt to gain some insight into their biological action. All calculations were of the semiempirical AM1 type. The decrease of enthalpy caused by an hydroxyl group was found to be twice that of a carbonyl group. The effect of two groups was found to be additive. Carbonyl groups on the other hand led to an increase of dipole moment and of the electrostatic charges on neighboring carbons that were higher than those produced by hydroxyl groups. Carbonyl groups at C17 pushed the highest occupied molecular orbital (HOMO) to higher energy whereas a carbonyl at C3 had little or no effect. However, in mono and di-keto structures, both HOMO and lowest unoccupied molecular orbital (LUMO) were located as expected closer to the carbonyl group. Etiocholanedione, a diketo structure, showed degeneracy of frontier orbitals with its related HOMO-1 and LUMO+1. Structures with mono-hydroxyl or di-hydroxyl functional groups showed the lowest HOMO values; the highest LUMO values and quasi degeneracy of HOMO-1 and LUMO+1. The HOMO and LUMO of etiocholane and for the mono and di-hydroxyl structures were observed diffused throughout the molecules in a “sausagelike” or “ribbonlike” fashion. These results might explain some metabolic steps. Likewise, the difference of intermolecular forces, i.e., dipole moments and charges displayed by the carbonyl and hydroxyl groups, might help to elucidate some biological effects.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 249-254, 1997
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  • 78
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    International Journal of Quantum Chemistry 63 (1997), S. 601-614 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We analyze the divergent contributions to the Hamiltonian for extended, nonmetallic systems in one dimension, to both the ground-state correlation energy and to the correlated band structure. It is shown that the contribution from the long-range divergent part of the Hamiltonian tends to zero as 1/M-2, where M is the extent of the troublesome lattice summations. Therefore, it is well justified to neglect such contributions in higher order many-body perturbation theory or coupled cluster treatments of the electronic structure for polymers. © 1997 John Wiley & Sons, Inc.
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  • 79
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    International Journal of Quantum Chemistry 63 (1997), S. 615-621 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Solid energetic substances have long played an important technological role as explosives, as well as for fuels. In this article, the authors concentrate on a type of explosive considered a primary explosive, lead azide, and its related compounds, lithium azide and sodium azide. Recent interest in more fundamental questions relating to the basic properties of these systems as materials, coupled with a desire to probe fundamental questions relating to the initiation and sustaining of the chemical reactions leading to combustion/detonation, is generating significant interest in the basic solid-state properties of such energetic systems. In particular, recent analysis of detonation by Gilman emphasizes the need to include excitation of the electronic system in obtaining an understanding. In this article, the band structures of the three solid metal azides are studied. This is done for both the normal lattice geometry and also in isotropically compressed geometries. These studies found that the alkali azide band gaps are far wider than is the lead azide gap and the lead azide gap is far more sensitive to narrowing with lattice compression than are the gaps for the alkali azides. In fact, the gap for sodium azide is found to widen with compression rather than narrow. The authors found that there is much seen in the band structures of these azides to lend some support to the Gilman model and also to demonstrate the importance of solid-state effects on the electronic structure and possible behavior of such energetic systems. © 1997 John Wiley & Sons, Inc.
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  • 80
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    International Journal of Quantum Chemistry 64 (1997), S. 481-494 
    ISSN: 0020-7608
    Keywords: Polyethylene ; energy bands ; dispersion relation ; Hamiltonian matrix eigenfunctions ; non-one-dimensionality ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The alternative way of solving secular problems for the Hamiltonian matrices of regular quasi-one-dimensional systems developed previously [V. Gineityte, Int. J. Quant. Chem. 60(3), 717 (1996)] has been applied to polyethylene. An implicit form of the dispersion relation has been obtained in terms of three local-structure-determined energy-dependent functions δ(ε), τ(ε), and η(ε), describing the effective interactions inside a separate CH2 group and those between first- and second-neighboring CH2 groups, respectively. The actual shapes of dispersion curves proved to be determined by relative mean values of the functions τ(ε) and η(ε) within the ε region under interest. The unusual minimum within the low-energy branch of dispersion curves situated at a low-symmetry point of the first Brillouin zone (k≈0.6π/a) has been established to appear owing to considerable values of effective interactions between the second-neighboring CH2 groups within the respective energy interval. Just the latter type of interactions has been concluded to be responsible also for non-one-dimensionality of the polyethylene chain. The Hamiltonian matrix eigenfunctions of this chain have been expressed as the Bloch sums of eigenvalue-dependent local-structure-determined basis orbitals.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 481-494, 1997
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  • 81
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    International Journal of Quantum Chemistry 64 (1997), S. 553-560 
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We discuss the symmetries, the behavior of the diabatic energy curves, as well as the static aspects of vibronic interaction for diatomic molecules in the presence of a strong magnetic field. Our central subject of investigation is the topology of the adiabatic electronic potential energy surfaces of diatomic molecules which are discussed using some selected examples of the surfaces of the H2+ ion. Global equilibrium configurations corresponding to stable molecular states are found both for the parallel as well as for the perpendicular configurations. For a higher degree of excitation, we observe that the global minimum can belong to the lowest possible symmetry of the ion in the presence of a magnetic field. As an example, we discuss the topology of the 3u potential energy surface.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 553-560, 1997
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  • 82
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    International Journal of Quantum Chemistry 64 (1997), S. 599-605 
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    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The Verdet constant describing magnetic optical rotation (MOR) in atoms and molecules is analyzed in terms of polarization propagators. The effect, rotation of the plane of polarization of light by a perturbing magnetic field, is modeled through quadratic response functions (QRFs). For atomic systems, we prove that the standard third-order MOR expression simplifies to the Becquerel dispersion formulation, also known as the normal Verdet constant. This is shown to arise naturally from QRFs under spherical symmetry. A general proof is also offered for the gauge origin invariance of third-order expressions in systems possessing an inversion center. Finally, methods for assessing the completeness of basis-set representation with respect to MOR calculations are discussed.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 599-605, 1997
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  • 83
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    International Journal of Quantum Chemistry 64 (1997), S. 619-628 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We discuss the opportunities for experiments in quantum chemistry and molecular physics at magnetic fields in excess of 100 Tesla. In a multinational collaboration, scientists at Los Alamos National Laboratory have led a campaign of experiments using explosively driven generators with peak fields between 130 and 1000 Tesla. Most of these experiments explored quantum-limit phenomena. We expect to conduct a similar campaign in the spring of 1997. We are also planning experiments with several reusable laboratory facilities: (1) the Pegasus high-energy-density facility, an operating 4 MJ fast capacitor bank system, which should be capable of reaching fields of 600 Tesla in practical experimental volumes; (2) the 100 Tesla nondestructive magnet, which is expected to be in operation by 1998; and (3) the Atlas facility, 38 MJ fast capacitor bank system, which should be capable of reaching fields of 1800 Tesla in practical experimental volumes. Atlas should be in operation by 1999. We also discuss some of the experimental techniques developed for both physics and chemistry experiments at high magnetic fields.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 619-628, 1997
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  • 84
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    International Journal of Quantum Chemistry 64 (1997), S. 661-668 
    ISSN: 0020-7608
    Keywords: Hyperspherical harmonics ; radial correlation ; angular correlation ; l limits ; 1S and 3S states of the helium atom ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Effects of different subsets on convergence patterns of hyperspherical harmonic (HH) expansions for the low-lying 1S and 3S states of the helium atom have been investigated with the correlation-function-hyperspherical-harmonic-generalized-Laguerre-function (CFHHGLF) method by successively introducing HH subsets with the fixed three-dimensional angular momentums (l) into the atomic wave functions. The eigenenergies given by the HH subsets of l=0, 1, 2, and 3 are in good agreement with the best s-, sp-, spd-, and spdf limits of variational configuration interaction (CI) calculations, respectively. The final eigenenergies of the ground state as well as the examined low-lying excited 1S and 3S states are quite close to the exact Hylleraas CI (HCI) values at the sixth decimal place. Moreover, l=0 and l≠0 expansion results also tell us that it is not necessary to take into account too many HHs at the given l, especially for higher l, and that the more the absolute electron correlation energies the bigger l it takes to obtain precise eigenenergies.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 661-668, 1997
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  • 85
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    International Journal of Quantum Chemistry 64 (1997), S. 703-710 
    ISSN: 0020-7608
    Keywords: Superconductor ; Ba0.6K0.4BiO3-δ ; oxygen content ; band structure ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The band structure calculations on the K-doped superconductor Ba0.6K0.4BiO3-δ were carried out, and the effect of the oxygen content on its electronic structures was studied in the present work. The results show that the variation in the oxygen content caused by the partial substitution of K for Ba has a great effect on its electronic structure. The oxygen vacancies cause the saddle point singularity to be displaced gradually as the oxygen content is decreased, whereas the band structure is only translated a little and remains unchanged in shape, which reflects the non-rigid-bandlike behavior of Ba0.6K0.4BiO3-δ in the presence of the oxygen vacancies. When the saddle point singularity is displaced and lies at the Fermi level Ef, the total density of states at Ef, N(Ef), has the highest value which is twice as large as that of the Ba0.6K0.4BiO3 compound without the oxygen vacancies. These results reveal the important role of the oxygen content in the Ba-K-Bi-O superconducting system.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 703-710, 1997
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  • 86
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    International Journal of Quantum Chemistry 64 (1997), S. 721-733 
    ISSN: 0020-7608
    Keywords: Flavins ; ab initio calculations ; CIS/CNDO ; electronic properties ; reactivity of flavoproteins ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Electronic and structural properties of three protonated forms [HFlox, H2Flox+(N5), and H2Flox+(N1)] of lumiflavin have been determined at the HF/3-21G level of approximation. Larger delocalization and basicity explain the favorable protonation of N1 with respect to N5 whereas N1 protonation considerably activates the electrophilicity of N5 with respect to C4a. The relative position of the first electronic transition evaluated at the CNDO/CI level for the radicalar H2Fl·(N5) and H2Fl·(N1) structures further supports the classification of the flavoenzymes into two classes. Moreover, the π-π* transition has been correctly placed as the lowest energy transition for the neutral oxidized lumiflavin and predicts a blue shift of the low-lying electronic transition upon monoprotonation. Finally, from the analysis of the molecular complex between oxidized lumiflavin (HFlox) and hydroquinone, we have rationalized the complex formation in terms of the complementarity between the molecular electrostatic potentials as well as in terms of the overlap between the frontier orbitals involved in these charge transfer process.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 721-733, 1997
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  • 87
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    International Journal of Quantum Chemistry 65 (1997), S. 37-48 
    ISSN: 0020-7608
    Keywords: pseudo-Jahn-Teller effect ; vibronic coupling ; molecular geometry ; energy surfaces ; random-phase approximation ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The traditional description of pseudo-Jahn-Teller molecular configuration instability based on Bader's formula for the curvature of the adiabatic potential is reconsidered in order to make it consistent with straightforward calculations of the ground-state energy surface within Hartree-Fock-Roothaan approximation. The proposed approach employs floating molecular orbitals constructed by “frozen LCAO” coefficients (computed in the reference geometry) and floating atomic orbitals, which allows one to exclude the vibronic mixing with the excited states irrelevant from chemical point of view. The relaxation (vibronic) contribution to the instability, expressed in terms of one-electron quantities, involves two sets of orbital vibronic constants. These are, respectively, defined as matrix element derivatives of correct and “frozen LCAO” Fock operators between occupied and unoccupied molecular orbitals. The canonical form of the relaxation contribution can be achieved when the vibronic interaction is presented as a mixing between the ground electronic state and the excited states calculated within the random-phase approximation   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 37-48, 1997
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  • 88
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    International Journal of Quantum Chemistry 65 (1997), S. 107-119 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The properties of the spin-adapted reduced Hamiltonian (SRH) matrices and of their eigenvectors permit in many cases a projection of the two-electron matrices, which amounts to an effective truncation of the basis at the stage of the calculations which are time and as memory consuming. Besides this effective truncation of the basis, another simplification can be introduced by segregating an n-electron cloud from the N electrons of the system. Thus, the energy and the electron distribution of a smaller electronic cloud, for instance, the π or the σ cloud in aromatic systems, can be calculated; their separability being subsequently analyzed. Different relevant spaces have been examined in the study of the π-electron cloud in benzene and naphthalene.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 107-119, 1997
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  • 89
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    International Journal of Quantum Chemistry 65 (1997), S. 151-158 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A relativistic direct perturbation theory approach has been implemented at the multiconfiguration Hartree-Fock level into the numerical program package LUCAS. The method has been applied to the closed-shell Be, Zn, Cd, and Hg atoms and to the rare gases Ne to Rn. The scalar relativistic valence-correlation correction to the rare gases is found to be very small, while for Zn, Cd, and Hg the first-order relativistic corrections to the valence-correlation energy are calculated to be -4.6, -6.3, and -17.4 mH, respectively.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 151-158, 1997
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  • 90
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    International Journal of Quantum Chemistry 65 (1997), S. 89-96 
    ISSN: 0020-7608
    Keywords: Semiclassical approach ; rotational excitation ; A-A variables ; Monte Carlo calculation ; total cross section ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A semiclassical approach is applied to calculating the state-to-state cross sections of rotational excitation of ammonia molecule scattering with the argon atom. Semiclassical theory is more useful in studying heavy molecular scattering. Ammonia molecule is regarded as a rigid symmetric top and argon as a structureless atom. The inversion motion of ammonia is not taken into account. We make use of classical action-angle variables to describe the degrees of freedom of the system. The ab initio potential is used, and at two different energies the computing of total cross sections are performed by using the Monte Carlo procedure. Good agreements with close-coupling calculations and crossed molecular beam experiment are obtained. The semiclassical approach thus appears to be valid for ammonia-argon scattering system.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 89-96, 1997
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  • 91
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    International Journal of Quantum Chemistry 65 (1997), S. 143-150 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We express the hydrogen-type orbitals as integral transforms of Gaussian functions. The topographic features of the analytical expressions for the weight functions provide ways for the design of basis sets.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 143-150, 1997
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  • 92
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    International Journal of Quantum Chemistry 64 (1997), S. 669-678 
    ISSN: 0020-7608
    Keywords: Molecular geometry ; symmetry ; symmorphy ; topology ; electron density ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Relations between an earlier generalization of molecular symmetry called symmorphy and a molecular equivalence based on diffeomorphisms of electron density functional graphs (the so-called DFG equivalence introduced in our previous work) are analyzed. Any two DFG-equivalent electron density functions can be derived from one another by a suitable transformation of the spatial coordinates and the electronic charge density scale; the classes of DFG equivalence are the orbits of a group of linear operators operating in the space of electron density functions. Within the symmorphy framework, the symmetry group is derived from the symmorphy group by taking an intersection of a subgroup of the symmorphy group and the group of isometries for a natural choice of the Riemannian metric tensor. The Riemannian metric properties provide a choice for a suitable reference electron density function for each class of equivalent densities. Such reference densities serve as tools for a systematic classification of the infinite family of electron densities of molecular conformations.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64: 669-678, 1997
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  • 93
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    International Journal of Quantum Chemistry 65 (1997), S. 709-717 
    ISSN: 0020-7608
    Keywords: Monte Carlo simulation ; amides ; hydrogen bond ; radial distribution functions ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Monte Carlo simulations of liquid formamide, N-methylformamide (MF), and N,N-dimethylformamide (DMF) have been performed in the isothermal and isobaric ensemble at 298 K and 1 atm, aiming to investigate the C(SINGLE BOND)H(DOTTED BOND)O and N(SINGLE BOND〉H(DOTTED BOND)O hydrogen bonds. The interaction energy was calculated using the classical 6-12 Lennard-Jones pairwise potential plus a Coulomb term on a rigid six-site molecular model with the potential parameters being optimized in this work. Theoretical values obtained for heat of vaporization and liquid densities are in good agreement with the experimental data. The radial distribution function [RDF, g(r)] obtained compare well with R-X diffraction data available. The RDF and molecular mechanics (MM2) minimization show that the C(SINGLE BOND)H(DOTTED BOND)O interaction has a significant role in the structure of the three liquids. These results are supported by ab initio calculations. This interaction is particularly important in the structure of MF. The intensity of the N(SINGLE BOND)H(DOTTED BOND)O hydrogen bond is greater in the MF than formamide. This could explain some anomalous properties verified in MF.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 709-717, 1997
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  • 94
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    International Journal of Quantum Chemistry 65 (1997), S. 749-758 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A density functional theory study of Au, Au2, Au3, and Au4 is performed focusing on the study of gold tips or contacts of interest in investigations of molecular-scale electronics. The ground state for the four systems corresponds to the one with the lowest multiplicity, and the ordering of energies follows the multiplicity in all cases. It is found that the tetrahedral geometry of Au4 is not the preferred one for the lowest spin states with neutral charge, but is the preferred one for charged systems. The ionization potential and electron affinities for the four systems were also obtained. A qualitative interpretation of the Kohn-Sham highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) orbitals is given based on the present calculations.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 749-758, 1997
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  • 95
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    International Journal of Quantum Chemistry 65 (1997), S. 997-1003 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Values of several parameters appearing in the modified Bethe-Bloch theory must be known if one is to calculate the stopping power for a given projectile-target combination within the energy interval of applicability of the theory. In the course of the past several years, the author has established values for kapton and mylar target materials through fits of experimental data with the modified Bethe-Bloch theory. During the past year, several sets of measurements of polystyrene stopping powers for light projectiles have been studied so as to extract values of Bethe-Bloch parameters also for this target material. Results of these studies, including uncertainties in the parameter values that reflect the number and accuracy of the measurements analyzed, are summarized in this presentation.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 997-1003, 1997
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  • 96
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    International Journal of Quantum Chemistry 65 (1997), S. 1065-1076 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We consider the problem of quantitative characterization of the molecular surface. We start with a set of matrices, the elements of which give interatomic separation and higher powers of the separations. Averaged row sums of individual matrices suitably normalized give molecular profiles. The problem that we consider is how to generalize this approach to 2-dimensional and 3-dimensional objects. By using a large number of random points distributed over the molecular surface or molecular volume, respectively, we arrive at matrices from which one can extract invariants that offer a good characterization of the molecular surface and the molecular volume. It is suggested that the ratio V/S, where V and S are components of the volume and surface profile for a molecule, respectively, represents a novel shape index.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 1065-1076, 1997
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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  • 97
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 65 (1997), S. 1107-1114 
    ISSN: 0020-7608
    Keywords: Valpromide derivatives ; anticonvulsant activity ; similarity analysis ; pharmacophore ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A conformational and electronic semiempirical quantum-chemical study of several N-substituted valpromides is presented, followed by a similarity analysis that takes into account the flexibility of the molecules. Rigid analogs are included in the comparison in order to help identify the anticonvulsant active conformations. On the basis of a superposition analysis, which includes both active and nonactive structures, and uses the global minimum-energy conformation of phenytoin as a template, the pharmacophoric pattern of N-substituted valpromides is defined. It is related to the antiperiplanar orientation of the amide function relative to the hydrocarbon chain.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 1107-1114, 1997
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 98
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 65 (1997), S. 1125-1134 
    ISSN: 0020-7608
    Keywords: leupeptin ; papain ; semiempirical ; cysteine protease ; active center ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this work, we modeled leupeptin (Ac.Leu.Leu.Arg.CHO), a natural inhibitor of proteases, and the active site of papain, a cysteine protease, using as a template the crystal structure of a leupeptin-papain complex recently obtained by Schroder and co-workers [FEBS Lett. 135(1), 38 (1993)] and including 11 amino acids relevant to the proteolytic activity of the enzyme. Our results show that the AM1 fully optimized leupeptin is more stable than is the leupeptin crystal structure by about 6.0 kcal/mol. Our results show also that in the modeled active center of papain the S - H⋅⋅⋅N structure is favored. When the aldehyde is included in the calculation, however, proton transfer occurs with a strengthening of the S-⋅⋅⋅HIm+⋅⋅⋅O(DOUBLE BOND)C (Asn175) catalytic triad. The AM1 method reproduces fairly well the interactions between the enzyme and the host molecule.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 1125-1134, 1997
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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  • 99
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 65 (1997), S. 1135-1152 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A series of semiempirical molecular orbital calculations using the AM1 method were performed on the inclusion complexes of α- and β-cyclodextrin with benzoic acid and phenol in the “head-first” and “tail-first” positions. The AM1 results show that α-cyclodextrin complexes with both guest compounds in the “head first” position are more stable than in the “tail-first” position, while the β-cyclodextrin complex with phenol in the “tail-first” position is more stable, but with benzoic acid, the “head-first” position is more stable. The driving forces for complex formation were investigated based on different intramolecular and intermolecular interactions. In addition, 1SCF AM1 calculations were performed on the β-cyclodextrin complexes with benzoic acid in the “tail-first” and “head-first” positions with the benzoic acid moved stepwise along the Z-axis of the β-cyclodextrin principal axis coordinate system.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 1135-1152, 1997
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 100
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 65 (1997), S. 625-631 
    ISSN: 0020-7608
    Keywords: ab initio ; oxygen vacancy ; doping ; titanium oxide surface ; varistor ceramics ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We theoretically investigated how the formation of oxygen vacancies and the addition of niobium and chromium atoms as dopants modify the varistor properties of TiO2. The calculations were carried out at the HF level using a contracted basis set, developed by Huzinaga et al., to represent the atomic centers on the (110) surface for the large (TiO2)15 cluster model. The change of the values for the net atomic charges and band gap after oxygen vacancy formation and the presence of dopants in the lattice are analyzed and discussed. It is shown that the formation of oxygen vacancies decreases the band gap while an opposite effect is found when dopants are located in the reduced surface. The theoretical results are compared with available experimental data. A plausible explanation of the varistor behavior of this system is proposed.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 625-631, 1997
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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