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  • Articles: DFG German National Licenses  (1,718)
  • 1985-1989  (1,718)
  • 1860-1869
  • Atomic, Molecular and Optical Physics  (1,119)
  • pharmacokinetics  (599)
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  • Articles: DFG German National Licenses  (1,718)
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Year
  • 101
    ISSN: 1573-904X
    Keywords: otitis media ; pharmacokinetics ; amoxicillin ; trimethoprim ; sulfamethoxazole
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Antimicrobial treatment of otitis media, especially drug dosing considerations, is largely empiric, with few reported pharmacologic studies of drug distribution into the middle ear. A chinchilla animal model of serous and purulent otitis media has been used for some time to investigate mechanisms of disease pathogenesis. This model was adapted to investigate the penetration of amoxicillin, trimethoprim, and sulfamethoxazole into middle ear effusion. Purulent otitis media was produced by direct middle ear inoculation with type 7F Streptococcus pneumoniae. Serous otitis media was produced by eustachian tube obstruction using silastic sponge or Coeflex cement, but the Coeflex caused an undesirable local inflammatory response. The three antibiotics were administered to chinchillas with serous and purulent middle ear effusion. Plasma and ear fluid drug concentrations were measured by liquid chromatography and demonstrated the value of this model in assessing antibiotic penetration.
    Type of Medium: Electronic Resource
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  • 102
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 6 (1989), S. 367-372 
    ISSN: 1573-904X
    Keywords: drug targeting ; site-specific delivery ; steady state ; pharmacokinetics ; pharmacodynamic model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Physiological models have often been used to investigate the processes involved in drug targeting. Such a model is used to investigate some aspects of drug targeting, including the pharmacodynamics of therapeutic and toxic effects. A simple pharmacodynamic model is incorporated in a three-compartment pharmacokinetic model. Conventional administration and drug targeting are compared at steady state for the same degree of therapeutic effect. The efficiency of drug targeting is quantified as the ratio (TA) of the rates of administration of free drug or of a drug–carrier complex required to achieve this effect. Also, the ratios of drug concentrations in the toxicity compartment (DTI) or of the consequent degree of toxic effects (TI) are used to compare conventional administration with drug targeting. The kinetic characteristics of the drug–carrier complex, rate of elimination, and rate of free drug release, influence TA but not DTI or TI. The importance of these characteristics depends on the cost and toxicity of the drug–carrier complex or of the carrier alone. The pharmacodynamics of the free drug in both the target and the toxicity compartments have an important influence on TI but not on TA or DTI. As the pharmacological selectivity of the drug increases, so does TI. However, a drug with good pharmacological selectivity may not be suitable for drug targeting. TI is also very dependent on the shape of the effect–concentration curves, particularly that for toxicity. While TA increases as the rate of elimination of free drug from either central or target compartments increases, TI may actually be reduced if release of free drug is not confined to the target compartment.
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  • 103
    ISSN: 1573-904X
    Keywords: pharmacokinetics ; scopolamine ; drug disposition ; motion sickness drug
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The pharmacokinetics and bioavailability of scopolamine were evaluated in six healthy male subjects receiving 0.4 mg of the drug by either oral or intravenous administration. Plasma and urine samples were analyzed using a radioreceptor binding assay. After iv administration, scopolamine concentrations in the plasma declined in a biexponential fashion, with a rapid distribution phase and a comparatively slow elimination phase. Mean and SE values for volume of distribution, systemic clearance, and renal clearance were 1.4 ± 0.3 liters/kg, 65.3 ± 5.2 liters/hr, and 4.2 ± 1.4 liters/hr, respectively. Mean peak plasma concentrations were 2909.8 ± 240.9 pg/ml following iv administration and 528.6 ± 109.4 pg/ml following oral administration. Elimination half-life of the drug was 4.5 ± 1.7 hr. Bioavailability of the oral dose was variable among subjects, ranging between 10.7 and 48.2%. The variability in absorption and poor bioavailability of oral scopolamine indicate that this route of administration may not be reliable and effective.
    Type of Medium: Electronic Resource
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  • 104
    ISSN: 1573-904X
    Keywords: carboplatin ; pharmacokinetics ; platinum, total, ultrafilterable ; urinary excretion ; cancer patients ; chemotherapy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The pharmacokinetics of platinum was investigated in 10 cancer patients treated with a 1-hr infusion of 300 mg/m2 of carboplatin which was given 2–4 days after the administration of 100 mg/kg (20-mg/kg bolus and 80-mg/kg intravenous infusion) of methotrexate. Platinum was analyzed in the samples by flameless atomic absorption spectrophotometry. The concentration vs time data for total platinum in plasma followed a two-compartment model and the mean (and SE) values for β, TBC, V c, and RC were 0.0827 (0.22) hr−1, 2.355 (0.252) liters/hr · m2, 10.74 (0.62) liters/m2, and 2.405 (0.228) liters/hr · m2, respectively. There was no significant change in the creatinine clearance or TBC with repeated treatment. The ultrafilterable platinum which was measured in the plasma of two patients constituted 82 and 11.3% of the total platinum at 1 and 24 hr, respectively, and the data conformed to the one-compartment model. The mean (SE) values for t β, TBC, and V d for free platinum were 1.844 (0.208) hr, 4.583 (1.059) liters/hr · m2, and 11.88 (1.45) liters/m2, respectively. The above data are in good agreement with those reported earlier for platinum following the administration of carboplatin as a single agent. These results suggest that high-dose methotrexate therapy, when administered 2–4 days before carboplatin, does not affect the pharmacokinetics of platinum in the plasma.
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  • 105
    ISSN: 1573-2592
    Keywords: Interferon-γ ; Kaposi's sarcoma ; human immunodeficiency virus (HIV) ; pharmacokinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract A Phase I study of recombinant interferon-gamma (rIFN-γ) was conducted to determine the toxicity and pharmacokinetics of this lymphokine in acquired immunodeficiency syndrome (AIDS) patients with Kaposi's sarcoma (KS). Sixteen patients with AIDS/KS were entered into a fixed-dose trial at either 0.001, 0.01, 0.1, or 1.0 mg/m2 of rIFN-γ. rIFN-γ was initially administered either as a single 24-hr continuous iv infusion or as a single im injection, followed 4 days later by a 10-day course of daily therapy by the same route. Following a 1-week washout period, this sequence of administration was then repeated, with the drug given by the alternate route. Pharmacokinetic analysis of the 1.0-mg/m2 group revealed that peak serum levels of up to 153 U/ml occurred 2–4 hr after im injection and that steady-state levels of up to 40 U/ml were reached approximately 7–12 hr after beginning iv infusion. Dose-related toxicities in this trial included fever, headache, fatigue, nausea, and hepatitis, all of which were most severe at the two highest doses. Dose-dependent depression of the total white blood-cell (WBC) count, affecting both granulocytes and lymphocytes, was the most common laboratory abnormality. Natural killer (NK)-cell activity was slightly enhanced at a dose of 0.1 mg/m2 but suppressed at 1.0 mg/m2 of drug; monocyte-mediated cytotoxicity, in contrast, was significantly increased only at the highest dose. No dose-related changes were noted in KS lesions, HLA-DR expression by peripheral blood mononuclear cells, lymphocyte blastogenesis, or the ability to culture cytomegalovirus (CMV) from body fluids. We conclude that a maximally tolerated dose (MTD) for this drug is in the range of 0.1–1.0 mg/m2 and that at least modest evidence of systemic immunomodulation may be seen when rIFN-γ is given at doses at or near this MTD.
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  • 106
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Chirality 1 (1989), S. 174-177 
    ISSN: 0899-0042
    Keywords: pharmacokinetics ; terbutaline ; enantiomers ; human ; Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Terbutaline is a β2-agonist and administered as the racemic mixture. The pharmacokinetics of the separate enantiomers differ with respect to degree of absorption and clearance. In the present study, repeated doses of racemic terbutaline were given to six healthy volunteers. Plasma was analyzed for the concentrations of the two enantiomers. The observed plasma concentrations at steady state differed from those predicted from the values observed after single dose administration of the separate enantiomers. The difference between the observed and predicted values can be tentatively explained by a combined influence of (-)-terbutaline on the absorption of (+)-terbutaline and the influence of (+)-terbutaline on the elimination of (-)-terbutaline. The results have implications for the interpretation of effect/concentration studies with terbutaline, but do not affect the doses used in clinical practice.
    Additional Material: 2 Ill.
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  • 107
    Electronic Resource
    Electronic Resource
    Springer
    Cardiovascular drugs and therapy 3 (1989), S. 482-497 
    ISSN: 1573-7241
    Keywords: pharmacokinetics ; calcium antagonists ; liver disease ; renal disease ; hepatic enzymes ; metabolites
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A survey of the pharmacokinetic properties of the three prototypical calcium antagonist agents shows that they have in common a very high rate of hepatic first-pass metabolism with, in the case of verapamil and diltiazem, the formation of an active metabolite that affects the dose during chronic therapy. Therefore, the major factor altering the pharmacokinetic properties and the dose of the drug required is the capacity of the liver to metabolize the drug, which in turn depends on the hepatic blood flow and the activity of the hepatic metabolizing systems. Hence liver disease, a low cardiac output, and coadministration of certain drugs inducing or inhibiting the hepatic enzymes, all indirectly affect the pharmacokinetic properties of the calcium antagonists. There are also other potential drug interactions of a kinetic or dynamic nature that may arise. In general, renal disease has little effect on the pharmacokinetics of calcium antagonists.
    Type of Medium: Electronic Resource
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  • 108
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 17 (1989), S. 347-364 
    ISSN: 1573-8744
    Keywords: hypersensitivity ; propranolol ; pharmacokinetics ; pharmacodynamics ; modeling ; β receptor ; adrenergic stimulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A pharmacokinetic/pharmacodynamic model of hypersensitivity to adrenergic stimulation following abrupt withdrawal of chronic β blockade was developed. The model employs the Hill equation, a term which describes the competition between isoproterenol and l- propranolol for β receptors, and a kinetic term which characterizes the appearance and disappearance rates of up-regulated β receptors. The model predicted peak chronotropic hyperresponsiveness to isoproterenol 48 hr following abrupt withdrawal of chronic treatment with daily propranolol doses of 160 mg, and a drug half-life of 3.5 hr. The model also predicted that increasing the dose rate and prolonging the half-life of propranolol delayed and decreased the extent of adrenergic hypersensitivity. The time-course of adrenergic hypersensitivity simulated by our model was in excellent agreement with that observed in studies which were published earlier by our laboratory. The model underestimated the extent of adrenergic hypersensitivity. The results of our simulation are consistent with a β agonist-receptor-effector system, which involves spare receptors, amplification of response by second and third messengers, and β agonist-antagonist-induced receptor regulation.
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  • 109
    ISSN: 1573-8744
    Keywords: propranolol ; pharmacokinetics ; pharmacodynamics ; myocardial contractility ; hypertensive ; rabbit
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Myocardial contractility of normotensive and spontaneously hypertensive rabbits was determined following an iv bolus injection of propranolol HCl. Left ventricular pressure and dimension were used to calculate the contractility parameters of (dP/dt) max ,maximum fiber shortening velocity V cf , and the slope of the end systolic pressure-end systolic volume line (ESP-ESV line). Hypertension was induced by a methoxamine HCl iv infusion which mimicked the cardiac effects seen in essential hypertension. Propanolol caused a significant decrease in all contractility parameters (p〈0.05)within 15min after administration, with a peak effect occurring after 30–35 mins. The pharmacokinetics and pharmacodynamics of propranolol were fit using Hill's equation in conjunction with the concentration of drug in the theoretical effect compartment. The normotensive group of rabbits had a calculated EC (50) of 12.7 ng/ml, while the hypertensive group had an EC 50 of 6.9 ng/ml,indicating that the hypertensive rabbits were much more sensitive to the propranolol than the normotensive group. In addition, the normotensive group of rabbits demonstrated a much different pharmacokinetic-pharmacodynamic relationship than that of the hypertensive group, indicating that the hypertensive state of the animal has a significant effect upon the concentration-effect relationship.
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  • 110
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    Springer
    Journal of pharmacokinetics and pharmacodynamics 17 (1989), S. 109-123 
    ISSN: 1573-8744
    Keywords: anesthetics, gases ; pharmacokinetics ; volatile anesthetics ; inhalation agents
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The theoretical groundwork for a rate constant formulation of inhaled anesthetic elimination kinetics is discussed. In an effort to simulate recent experimental results a linear flow-limited five-compartment model was used comprising lung, vessel-rich tissue, muscle, nonvisceral fat, and an additional compartment, marrow-visceral fat whose functional existence recently has been experimentally demonstrated. Hypothetical but plausible parameters for the marrow-visceral fat compartment were used. The theoretically predicted values were in good agreement with experimental results suggesting that this model is appropriate for the elimination kinetics of agents that are not metabolized to any significant degree. Simple approximate expressions for the rate constants were also derived and were in reasonable agreement with experimental results. The model was also employed to clarify the effect of anesthetic duration on subsequent elimination kinetics.
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  • 111
    Electronic Resource
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    Springer
    Journal of pharmacokinetics and pharmacodynamics 17 (1989), S. 327-345 
    ISSN: 1573-8744
    Keywords: enterohepatic recirculation ; pharmacokinetics ; hepatic extraction ; area under the first moment curve ; model ; bile ; mean residence time ; mean absorption time ; formulations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A physiologically realistic model of enterohepatic cycling (EHC) which includes separate liver and gallbladder compartments, discontinuous gallbladder emptying and first-order absorption from both an oral formulation and secreted bile (ka po and ka b, respectively) has been developed. The effect of EHC on area under the first-moment curve (AUMC) of drug concentration in plasma and on parameters derived from the AUMC was investigated. Unlike AUC, AUMC is dependent on the time and time-course of gallbladder emptying, increasing as the interval between gallbladder emptying increases. Consequently, mean residence time (MRT) is also a time-dependent parameter. Analytical solutions for MRTiv and MRTpo were derived. Mean absorption time (MAT = MRTpo — MRTivj is also time-dependent, contrary to findings previously published for a model of EHC with a continuous time lag. MAT is also dependent on k a po , k a b and the hepatic extraction ratio. The difference between MRT po s two formulations with unequal k a po values may deviate from the difference in the inverse of their absorption rate constants. Implications for design and interpretation of pharmacokinetic studies include (i) MAT values may be dominated by the time-course of recycling rather than the time-course of the initial absorption, depending on the extent of EHC and (ii) the unpredictable nature of the time of gallbladder emptying will contribute to intrasubject variability in derived parameters during crossover studies. Knowledge of the extent of EHC is invaluable in deciding whether modification of the in vitro release characteristics of an oral formulation will have any effect on the overall time-course of absorption in vivo. Techniques to monitor or control gallbladder emptying may be helpful for reducing variability in pharmaco-kinetic studies for compounds which are extensively cycled in bile.
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  • 112
    Electronic Resource
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    Springer
    Journal of pharmacokinetics and pharmacodynamics 17 (1989), S. 571-592 
    ISSN: 1573-8744
    Keywords: pharmacokinetics ; variability ; parameter estimation ; modeling ; nonlinear regression ; Wagner-Nelson method ; mixed effects models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The impact of assay variability on pharmacokinetic modeling was investigated. Simulated replications (150) of three “individuals” resulted in 450 data sets. A one-compartment model with first-order absorption was simulated. Random assay errors of 10, 20, or 30% were introduced and the ratio of absorption rate (K a )to elimination rate (K e )constants was 2, 10, or 20. The analyst was blinded as to the rate constants chosen for the simulations. Parameter estimates from the sequential method (K e )estimated with log-linear regression followed by estimation of K a and nonlinear regression with various weighting schemes were compared. NONMEM was run on the 9 data sets as well. Assay error caused a sizable number of curves to have apparent multicompartmental distribution or complex absorption kinetic characteristics. Routinely tabulated parameters (maximum concentration, area under the curve, and, to a lesser extent, mean residence time) were consistently overestimated as assay error increased. When K a /K e =2,all methods except NONMEM underestimated K e ,overestimated K a ,and overestimated apparent volume of distribution. These significant biases increased with the magnitude of assay error. With improper weighting, nonlinear regression significantly overestimated K e when K a /K e ,=20. In general, however, the sequential approach was most biased and least precise. Although no interindividual variability was included in the simulations, estimation error caused large standard deviations to be associated with derived parameters, which would be interpreted as interindividual error in a nonsimulation environment. NONMEM, however, acceptably estimated all parameters and variabilities. Routinely applied pharmacokinetic estimation methods do not consistently provide unbiased answers. In the specific case of extended-release drug formulations, there is clearly a possibility that certain estimation methods yield K a and relative bioavailability estimates that would be imprecise and biased.
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  • 113
    ISSN: 1435-1463
    Keywords: Aminoadamantanes ; pharmacokinetics ; CNS ; membrane anisotropy ; excitability ; spinal alpha- and gamma-motoneurons
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The structure-activity relationship of two isomeric 1-aminoadamantanes, 1-C-ethylaminoadamantane (D 174) and 1-amino-3-ethyladamantane (D 175), on membrane anisotropy and the excitability of neurons was studied in the CNS of the rat and in the decerebrated cat. Mass spectrometric analysis showed that after a single, 40 mg/kg dose, D 174 and D 175 were unevenly distributed within the CNS of the rat, moreover the distribution pattern of the two substances was different. As measured by fluorescence depolarization in controls the membrane anisotropy was found to be higher in the older parts as compared with the younger parts of the CNS. After i.p. application of 40 mg/kg the membrane anisotropy was reduced in the cortex by D 174, whereas D 174 and D 175 increased the rigidity in striatal membranes. If cortical membranes were incubated with the substances, the fluidizing effect of D 174 was more prominent than that of D 175. In the decerebrated cat only D 174 in a dose of 5 mg/kg i.p. raised the discharge of spinal alpha-motoneurones significantly. The results suggest that the membrane architecture is more affected by D 174 as compared with D 175 which is reflected by a greater effect on membrane anisotropy as well as on the activity of spinal alpha-motoneurones.
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  • 114
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 167-180 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: There are significant differences between the conditions for chemical and biochemical reactivity. There-fore, models for treating chemical reactions are mostly not suitable for investigating interactions and transformations of bio(macro)molecules. Common features of numerous processes occurring in vivo and in vitro (such as the role of water, ions, and colloids and the significance of Helmholtz energy surfaces) are outlined. Some characteristics of a model suitable for studying van der Waals interactions between biomacromolecules, based on Brownian dynamics and the Lifshitz theory, are described.
    Additional Material: 3 Ill.
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  • 115
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 181-191 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Quantum chemical studies (INDO-RHF-SCF) have been made for the resting state active sites of three closely related heme proteins, cytochrome c peroxidase (CCP), metmyoglobin (MMB), and catalase (CAT). The relative energies of the germane sextet, quartet, and doublet spin-states of each active site were calculated. Both CCP and MMB have similar heme units, consisting of an Fe(III)-protoporphyrin-IX with an imidazole and water as axial ligands. Our calculations show that the larger doming of the porphyrin, greater out-of-planarity of the iron, and the shorter iron-water distance in MMB leads to a sextet ground state with a low-lying quartet state. By contrast, the order of these two states is reversed in CCP, when a neutral imidazole is used as the endogenous axial ligand. An imidazolate ligand, on the other hand, which is an extreme representation of the H-bonding believed to occur in CCP with a nearby aspartate residue, leads to a sextet ground state with a low-lying quartet state. Assuming at least a partially anionic ligand in the intact protein, it follows that the quartet contribution to the ground state properties will be larger in CCP than in MMB. These predictions are consistent with the observed differences in the temperature-dependent magnetic susceptibility for these two proteins. The present results suggest that the experimentally observed Mössbauer resonance spectra of CCP should be reinterpreted in terms of sextet and quartet state contributions to the electric field gradient. Calculations for catalase, which has a single phenolate ligand, result in a sextet ground state with a low-lying quartet state consistent with available Mössbauer and magnetic susceptibility data. Our calculations of the Im- form of CCP show that it more closely resembles CAT. Thus, the effect of proton transfer in CCP can account at least in part for the similarities between CCP and CAT function. Minor differences in ground spin-state and electronic properties calculated for CCP and MMB, however, cannot explain why MMB does not have significant peroxidase activity. The different functions of MMB and CCP must then be due in part to other known differences in their protein environment such as polar residues around the distal ligand binding pocket of CCP, which are absent in MMB, and could help its transformation to an active oxidizing state.
    Additional Material: 5 Tab.
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  • 116
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 223-239 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Recent studies performed in our group on a classical problem of quantum chemistry, with strong implications for theoretical biochemistry and pharmacology, are here summarized. Ab initio descriptions of noncovalent interactions, and in particular H bonds and acid-base couples, have been reexamined using as novel tools the decomposition of ΔE with the inclusion of CP corrections and a further decomposition of the ΔE components into group contributions. Some results of systematic analyses performed over H-bonded dimers are reported, supplemented by a successful application of this approach to a problem of noticeable economic importance (the identification of catalysts for the industrial synthesis of tensioactives). A new feature, presented here for the first time, is the extension of the CP-corrected decomposition of ΔE to bimolecular interactions in solution.
    Additional Material: 8 Ill.
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  • 117
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 297-303 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Two new numerical methods for solving the Schrödinger equation for an N-well periodic potential are presented. One is a diagonalization method based on Floquet-Bloch formalism, and the other is a renormalized Numerov-Cooley method with periodic boundary conditions. The numerical superiority of these methods over the standard diagonalization technique is demonstrated. The methods are illustrated by applications to internal rotation.
    Additional Material: 2 Ill.
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  • 118
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 325-330 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is shown that configuration interaction calculations, with inclusion of the relativistic corrections, constitute an appropriate approach for the prediction of atomic energy levels and that results of experimental accuracy are possible given the availability of large-scale, fast computers. The results obtained for He through F emphasize both the practical difficulties to be encountered and the possibility of predictions with less than 1% error.
    Additional Material: 2 Ill.
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  • 119
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 331-337 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Through a formalism developed in formr papers, some problems, set by the determination, from experimental data of the evolution equation of an n-states quantum system are considered.
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  • 120
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 361-372 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An “apparatus” operator approach is presented for the extension of the density functional theory of Hohenberg, Kohn, and Mermin. Using the Mermin entropy principle, a one-to-one correspondence is established between the density matrix for the system and the electron charge density for a finite-temperature system in the presence of an apparatus. In the zero-temperature limit in the absence of an apparatus, the Hohenberg-Kohn theory is recovered. The central aspect of this new density functional theory is that the principle of maximum entropy is applied to the system plus its surroundings under the additional constraint that the electron charge density is given. The system is treated as a subsystem of a composite system and is not necessarily in the equilibrium state as in the Mermin theory. As an example, it is shown how, in principle, excited states are encompassed by the theory.
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  • 121
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    International Journal of Quantum Chemistry 35 (1989), S. 577-580 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 1 Ill.
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  • 122
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989) 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 123
    Electronic Resource
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 581-581 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 124
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 593-612 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A practical method for generating irreducible matrix reps of point groups and a concise formula about projection operators are proposed. By using this formula as well as versatile classification schemes, the symmetry adaptation of a many-electron system is simplified. A unified algorithm and program of symmetry adaptation of spin-free space have been developed.
    Additional Material: 4 Tab.
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  • 125
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 35 (1989), S. 679-685 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The self-consistent multiple scattering Xα (MSXα) method is used to arrive at the electronic structure of a helium-trapped vacancy in aluminum using a cluster model. The calculated orbital energies, electron density, and charge distributions are compared with the available theoretical results. It is shown that helium trapping causes the reshuffling and upward movement of the cluster levels (with vacancy).
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  • 126
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    International Journal of Quantum Chemistry 35 (1989), S. 779-791 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Light positive particles can be introduced in metallic lattices where they take up interstitial positions. The motion of particles between these sites is usually described as a phonon-assisted tunneling process, which at high temperatures approaches a classical over-barrier jump motion.The present paper reviews briefly the study of such phenomena at very low temperatures where phonon assistance is no longer effective. Experiments on proton transfer between certain sites in niobium metal and on positive muons which diffuse in copper or aluminium lattices show unusual temperature dependencies, which have been explained quantitatively with recent tunneling theories. These approaches take into account the simultaneous dissipation of energy to the electron bath, a phenomenon which was shown by J. Kondo to be determined by the screening electrons following the particle. The temperature dependence is essentially an effect of the Fermi distribution of the conduction electrons. The interaction of the particle with the itinerant electrons will also determine whether the particle wavefunction will be localized or form an extended (Bloch-like) state.
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  • 127
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    International Journal of Quantum Chemistry 35 (1989), S. 827-838 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The reflected and transmitted electric fields generated by s- and p-polarized incident radiation are discussed using a microscopic approach that matches the solution of Maxwell's equation (obtained by integration over the surface region) to the incident and the reflected fields in the vacuum and to the transmitted fields in the bulk. At positions where the dielectric response is varying rapidly, the parallel components of the oscillating polarization are the sources of reflected as well as transmitted fields, and the corresponding perpendicular components (which exist only for p-polarized incident radiation) lead to charge oscillations that are the source of both longitudinal and transverse fields. The presence of the surface makes possible the generation of transverse and longitudinal excitations with large normal components of the wave vector, whose propagation directions are given by the conservation of the parallel component of the wave vector. This formulation does not make use of additional surface boundary conditions (ABC) but requires an explicit model for the nonlocal dielectric function in the surface region. Besides discussing the fields, we discuss the choice of electromagnetic potentials. We also discuss nonlinear properties with applications to second harmonic generation.
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  • 128
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    International Journal of Quantum Chemistry 36 (1989), S. 1-3 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 129
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    International Journal of Quantum Chemistry 36 (1989), S. 19-33 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A set of 18 aryltriazenes and the antitumor drug DTIC, whose mutagenicity has been determined in the Ames test, has been studied using octanol-water partition coefficients (P) as a measure of relative hydrophobicity and MNDO molecular orbital energies and electron distributions to account for variation in their electronic characteristics. A good structure-activity relationship was found using log P in combination with either εHOMO, or qHOMO, where the latter is defined as the HOMO electron density on N1 of the triazene. The dependence of mutagenicity on hydrophobicity is similar to what had been found earlier by Venger, Hansch, Hatheway, and Amrein [4] for the aryltriazenes alone using σ+ as a descriptor of electronic characteristics. A consistent role for electronic factors is found using σ+, εHOMO and qHOMO, namely, increased mutagenicity is associated with structural variations that increase the electron donating ability of the triazenes.
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  • 130
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    International Journal of Quantum Chemistry 36 (1989) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 131
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    International Journal of Quantum Chemistry 36 (1989), S. 119-125 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Static longitudinal polarizabilities αzz and cubic hyperpolarizabilities γzzzz are obtained by the FPT-INDO method for finite chain C4N+2H2N+4 (N = 1-15) models of polydiacetylene and polybutatriene. For the acetylenic structure the onset of saturation first becomes evident at about C14—C18 for the linear polarizability and C22—C26 for the cubic term. The values per C4H2 unit are accurately extrapolated to the infinite chain limit. In the case of the butatrienic structure, no saturation is observed through C54.
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  • 132
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    International Journal of Quantum Chemistry 36 (1989), S. 187-188 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 133
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    International Journal of Quantum Chemistry 36 (1989), S. 225-240 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Analytical and numerical studies are performed concerning the exclusion of the basis set superposition error (BSSE) from the SCF calculations of intermolecular interactions. Based on these studies a new procedure is proposed, which consists of the following steps: (1) determine the orbitals by the SCF scheme based on the recent “chemical Hamiltonian approach” (CHA-SCF method), i.e., excluding the delocalization effects caused by BSSE, and then (2) calculate the usual energy expectation value. (This gives results superior to those obtained by the previous nonsymmetric CHA energy formula.) The actual numerical calculations performed for different simple systems (He2, water dimer) by using various basis sets indicate that the CHA/CE (CHA with “conventional energy” formula) potential curves are well-balanced and are close to those obtained by the Boys-Bernardi (BB) method and usually (but not necessarily) go slightly beyond the latter. So our method gives results better than (or close to) those given by the BB method by performing only a single ∼N4 calculation at each geometrical arrangement of the system.
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  • 134
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    International Journal of Quantum Chemistry 36 (1989), S. 127-140 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A explicit expression for the unitary group Clebsch-Gordan coefficients, which couple two fully antisymmetric single-column states into the two-column Gel'fand-Tsetlin states, is given in terms of isoscalar factors for the canonical subgroup chain U(n) ⊃ U(n - 1) ⊃ … ⊃ U(1). The isoscalar factors are expressed through the step numbers labeling canonical basis states and enable a straightforward construction of Gel'fand-Tsetlin states in the Clifford algebra unitary group approach, without the use of the tables for the symmetric group outer-product reduction coefficients.
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  • 135
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    International Journal of Quantum Chemistry 36 (1989), S. 379-389 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this article, the Hamiltonian for the scattering of the He + H2 system is given by using the interaction potential V(X, Y, Θ) determined by experiments and the semiclassical method. From this Hamiltonian we find a dynamical algebra h6. The statistical expectation of the energy and the transition probability of H2, Pn→m, are derived; therefore, selection rules have been found easily.
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  • 136
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    International Journal of Quantum Chemistry 36 (1989), S. 427-427 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 137
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    International Journal of Quantum Chemistry 36 (1989), S. 241-253 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Ab initio molecular orbital methods are employed to study the low-lying states of C3H+, SiC2H+, Si2CH+, and Si3H+. Special attention is paid to a comparative study between C3H+ and Si3H+. In both cases a 3B2 state is found to lie the lowest at the HF level, although inclusion of correlation effects favor a linear structure (1Σ+ state) for C3H+, which lies 25 kcal/mol below the 3B2 state at the MP4 level, and a bent structure (1A′ state) for Si3H+, which lies just 2 kcal/mol below the 3B2 state. The proton affinities of C3, SiC2, Si2C, and Si3 are estimated at different levels of theory. Both protonation at carbon and silicon atoms are considered for SiC2 and Si2C. It is found that C3 comparatively has a low proton affinity. On the other hand, Si3 has a relatively high proton affinity compared with the protonation at silicon atom for both SiC2 and Si2C. These results are discussed on the basis of electronic structure arguments.
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  • 138
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    International Journal of Quantum Chemistry 36 (1989), S. 341-351 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An alternative scheme for ab initio polymer band structure calculations based on a Filon-type quadrature is proposed. This scheme avoids the explicit calculation and the storage of the “troublesome” Fourier transforms of the LCAO density matrix elements and is a first step towards a better control of the convergence of the different lattice sums appearing in the configuration space LCAO-SCF-CO method. The potential of the proposed technique is illustrated by a minimal basis set calculations on an infinite chain of H atoms.
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  • 139
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Recently we extended our strategy for MRD-CI (multireference double excitation-configuration interaction) calculations based on localized/local orbitals and an “effective” CI Hamiltonian for molecular decompositions of large molecules to breaking a chemical bond in a molecule in a crystal or other solid environment. Our technique involves solving a quantum chemical ab-initio SCF explicitly for a system of a reference molecule surrounded by a number of other molecules in the multipole environment of more distant neighbors. The resulting canonical molecular orbitals are then localized and the localized occupied and virtual orbitals in the region of interest are included explicitly in the MRD-CI with the remainder of the occupied localized orbitals being folded into an “effective” CI Hamiltonian. The MRD-CI calculations are carried out for breaking a bond in the reference molecule. This method is completely general. The space treated explicitly quantum chemically and the surrounding space can have voids, defects, deformations, dislocations, impurities, dopants, edges and surfaces, boundaries, etc. We previously applied this procedure successfully to the H3C—NO2 bond dissociation of nitromethane in a nitromethane crystal with extensive testing of the number of molecules that have to be included explicitly in the SCF and how many molecules have to be represented by more distant multipoles. The results indicated that it took more energy to dissociate the H3C—NO2 bond when the nitromethane molecule was in the crystal than it did to dissociate that bond in the free nitromethane molecule. In this present study we have investigated the effect of voids (both in the nitromethane molecules treated explicitly in the SCF and those in the environment represented by multipoles) on the calculated H3C—NO2 bond dissociation energies.
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  • 140
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    International Journal of Quantum Chemistry 36 (1989), S. 417-425 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The magnetooptical properties (B terms) vibronically induced have been calculated for a series of carbonyl compounds in the region of the first absorption band. The rules deduced experimentally for the signs and sizes of the B terms induced by vibrations of different symmetry are generally confirmed by these calculations.
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  • 141
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    International Journal of Quantum Chemistry 36 (1989), S. 429-453 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A particularly compact form of the orthogonally spin-adapted coupled-cluster equations involving all singly and doubly excited clusters is derived for the general case of a non-Hartree-Fock closed-shell reference determinant. The diagrammatic approach based on the graphical methods of spin algebras is applied. The relationship of different diagrammatic procedures for spin-adaptation, employing both bare and spin-adapted two-electron interaction vertices, is discussed. A comparison with the results obtained with algebraic spin-adaption approaches is also given.
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  • 142
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    International Journal of Quantum Chemistry 36 (1989), S. 533-533 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 143
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    International Journal of Quantum Chemistry 36 (1989), S. 503-524 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A graphical approach to the configuration interaction in the basis of pure Slater determinants is presented. The formulation based on the spin-separated two-slope graph (SSTSG), enabling the selection of determinants with the fixed Ms value, has a direct relation to the well-known concept of the group-function product. The commonly used excitation criterion and the spatial (Abelian) symmetry properties are analyzed in terms of the graph's internal structure. The Slater formulae for the Hamiltonian matrix elements between determinants, in the particle-hole formalism and in the spin-separated form, are related to different classes of loops within graphs. Some aspects of implementation within both the matrix-element-driven (ME) and integral driven (ID, direct) CI algorithms are discussed. The presented formulation, of a general complete active space (CAS) CI type, is a basis of the Graphical Determinantal Configuration Interaction (GDCI) computer program.
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    International Journal of Quantum Chemistry 36 (1989), S. 541-541 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 145
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    International Journal of Quantum Chemistry 35 (1989) 
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  • 146
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We start by pointing out relationships between production of information, global simulation, and supercomputing, thus placing our research activities in today's society context. Then we detail the evolution in hardware and software for 1CAP, our experimental supercomputer, which we claim to be especially well suited for supercomputing in science and engineering. A preliminary discussion of 1CAP/3090 (our latest experimental effort) is included. Many examples from different disciplines are provided to verify our assertions. We “prove” our point by presenting an example of global supercomputing. Starting with 3 nuclei and 10 electrons, building up to a single water molecule, then to a few hundred, we learn, for example, about Raman, infrared, and neutron scattering; we then move up to a few hundred thousand molecules to analyze particle flow and obstructions; finally we experiment, but only preliminarily, with a few million particles to learn more on nonequilibrium dynamics as in the Rayleigh-Benard systems. In this way, quantum mechanics is overlapped with statistical mechanics and expanded into microdynamics. The entire paper is finally reanalyzed from a different perspective, presenting rather systematically, even if most briefly, our ideas on “modern” computational chemistry, where quantum mechanics is as much needed as fluid dynamics and graphics. In this section the main computational techniques are analyzed in terms of computer programs and their associated flow diagrams to solve the basic equations using parallel supercomputers.
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  • 147
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    International Journal of Quantum Chemistry 35 (1989), S. 153-165 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The effects of a proximate condensed environment as the solvent and cellular structured patterns (biopolymers, membranes, etc.) play an important role in determination of the courses of molecular processes in biology. We present here the background of methods developed for such an environmental effects estimation combining the continuum and discrete models. Their applications within theoretical studies into the mechanisms of carcinogenic action of alkylating N-nitrosocompounds are shown. The results given cover four different areas, namely the quantitative structure-activity relationship, mechanistic studies into their metabolic activation reactions, interactions of the ultimate carcinogens with DNA, and finally their genetic consequences.
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  • 148
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    International Journal of Quantum Chemistry 35 (1989), S. 255-255 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 149
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    International Journal of Quantum Chemistry 35 (1989), S. 277-282 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The idea of a Franck-Condon (FC) operator is introduced, and its normally ordered form is obtained through the newly developed technique of “integration within an ordered product of operators (IWOP).” It is shown that the FC operator leads to a new approach for the calculation of FC factors. The results of existing theories are viewed, and the connection between the FC operator and the “squeeze-operator” is pointed out.
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  • 150
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    International Journal of Quantum Chemistry 35 (1989), S. 305-313 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is shown that infinite long polyacene chains may have three energetically close but structurally distinct isomers (a symmetrical, sym, form and two lower symmetry forms: one with double bonds in a trans and another isomer with double bonds in a cis pattern). The energetics is based on solid state MNDO theory. We discuss that the symmetrical form has a substantial energy gap Eg in the Hartree-Fock approach owing to exact exchange terms, which are nonlocal. Broken symmetry Hartree-Fock (HF) solutions for polyacene are also described. An angularly distorted structure suggested earlier on Jahn-Teller grounds is found to be energetically not favorable.
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  • 151
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An extensive theoretical calculation of the tetraphenyldithiapyranylidene DIPSφ4 molecule by means of the MSXα method is presented. The results obtained permit one to interpret the optical spectrum and the XPS spectrum as well as the charge transfer between DIPSφ4 and planar molecular semiconductor compounds such as TCNQ. To our knowledge, this is the first theoretical determination to date of such a charge transfer ratio from separate parameter-free calculations on large-size molecules.
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  • 152
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    International Journal of Quantum Chemistry 35 (1989), S. 813-825 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The ground (N) state and the 1B1u(V) excited state of planar ethylene have been studied at the CPF and MR-SDCI levels of theory, using an extended CGTO basis set of the ANO type. The investigation especially addresses the near-degeneracy problem in the ground state and the coupling between the diffuse character of the π* orbital and the amount of correlation included in the wave function of the V state. The MR-SDCI results yield a vertical excitation energy in the range 7.8-8.0 eV, whereas the CPF result is 7.9 eV. The best MR-SDCI result for 〈1π*‖z2‖1π*〉 is 7.8, whereas CPF calculations based on MR-SDCI INOS give the value 6.7. It is clear from the results that these numbers have not converged and that more extended calculations than was possible in the present work would yield an even more compact wave function.
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    International Journal of Quantum Chemistry 36 (1989), S. 169-178 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The use of a new time-dependent ket, variationally determined as a linear combination of Slater determinants associated with an electric field variant factor, provides an efficient technique for the calculation of dynamic polarizability tensors. Including electron correlation, the method is applied to the evaluation of the frequency-dependent polarizability of H2O and N2 and can be used even when the photon energy is near the excitation energy. With relatively small basis sets, calculated polarizabilities and resonance frequencies are in good agreement with experimental values for H2O but have to be improved for N2.
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  • 154
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    International Journal of Quantum Chemistry 35 (1989), S. 103-112 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Results of a Monte Carlo simulation of the hydration of caffeine (1,3,7-trimethyl-2,6-dioxipurine) and three different configurations of its stacked dimer are presented. Simulations were performed in a cluster approximation; the system contained 200 water molecules. The nature of the stabilization of caffeine stacking associates in water was considered. A hydrophobic behavior of methyl groups during association of caffeine molecules in water is shown. Results of the simulation of caffeine hydration are compared with experimental data from the study of the system of caffeine-water.
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  • 155
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    International Journal of Quantum Chemistry 35 (1989), S. 125-139 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A close scrutiny of the relationship between geometric constraints and motion in a system of water molecules allows the prediction of a role of solvent dynamics in the solvent-mediated interaction between two solutes and between different parts of one solute. The predicted mechanism is cooperative, and its operation is widely supported by experiments (not only by our group) in which solvent dynamics were modulated by isotopic or cosolvent perturbations. More recent experimental work by our group and simulation work of MCY water by Fornili et al, strengthens this evidence and visualizes how an immobilized water molecule can “seed” or “pin” a high-connectivity patch of H bonds. Involvement of the mechanism in pattern-specific, solvent-mediated driving forces of significant size (additional to those due to electrostatic recognition determinants) and in functional proton-transfer is inferred from available evidence.
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    International Journal of Quantum Chemistry 35 (1989), S. 495-512 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A many-body diagrammatic perturbation theory of rotation-vibration spectra is elaborated. The present approach is based on two many-body techniques, namely on the second quantization formalism (a rotating-vibrating molecule is formally treated here as a system of interacting vibrons, obeying the Bose-Einstein statistics) and the many-body diagrammatic theory of a model Hamiltonian, initially suggested in the microscopic theory of nuclei and in the last decade very frequently exploited in the accounting for the correlation effects in many electron systems. In the framework of this theory, the rotation-vibration energies are determined as the eigenvalues of a finite-dimensional model eigenproblem.
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  • 158
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    International Journal of Quantum Chemistry 35 (1989), S. 519-549 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The contributions of the triple and quadruple excitations to the fifth-order perturbation energy for the perturbation configuration interaction using localized orbitals (PCILO) method are derived. This completes the development of a fifth-order constant denominator perturbation theory initiated in a previous paper [5] with the single and double excitations. This theory is tested on molecules containing strained ring geometries, stretched bonds, strongly polarized bonds, and delocalized pi systems: cases where the starting zero order reference wave function poorly describes the system. Although the perturbation expansions turn out to be slowly convergent, the Padé approximant taken from an energy series which itself is constructed from Padé approximants provides results accurate to within a few kilocalories/mole of benchmark calculations. Computational times as in the original PCILO procedure remain proportional to N3, where N is the number of bonds.
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  • 159
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    International Journal of Quantum Chemistry 35 (1989), S. 257-266 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Wave function tails are analyzed quantitatively by investigating the dependence of exterior electron density (EED) on basis sets; the EED is defined as the integrated electron density outside the repulsive molecular surface. Ab initio MO calculations with large scale basis sets were performed to establish the benchmark order of EED values for valence orbitals of some simple molecules. It is found that very popular basis sets, such as 4-31G, which are determined by energy optimization, are inferior in describing the wave function tails to some similar size basis sets, such as MIDI-4, which are obtained by least-squares fit to near Hartree-Fock atomic functions. Further the EED values for atomic 2s functions are shown to be unfavorably smaller than those for atomic 2p functions when the same value is used for the exponent α in the GTO basis sets. This indicates that the frequently used constraint αs = αp is not appropriate for describing wave function tails with medium-size basis sets. Deficiencies in the energy-optimized basis sets are found to become more serious for molecules including heavier atoms.
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  • 160
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    International Journal of Quantum Chemistry 35 (1989), S. 267-275 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We present a simple model for calculating the interatomic interaction energies in the electron gas approximation. We use a generalization of the supermolecular electronic density which includes a density overlap term. We present numerical calculations for the He-He interaction as an illustration of the method.
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  • 161
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    International Journal of Quantum Chemistry 35 (1989), S. 665-677 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: N-Nitrosamines are believed to act as carcinogens by alkylating DNA in their ultimate carcinogenic forms which are produced by metabolic activation. Alkylation at certain oxygen sites in DNA, described as “promutagenic,” appears to be of particular significance for mutagenesis and cancer, as indicated by experimental findings. This theoretical study deals with two factors involved in the alkylation of these promutagenic oxygen sites by N-nitrosamine ultimate carcinogens. The first is the competition between alkylation at the promutagenic O6-guanine and O4-thymine sites and that at the nonmutagenic N7-guanine site, which is here related to the degree of participation of cationic ultimate carcinogens as compared with neutral ultimate carcinogens. Parent dialkylnitrosamines are classified structurally according to their degree of cationic ultimate carcinogen participation and preference for promutagenic alkylation. The second factor is the thermodynamic facileness of alkylation at the O6-guanine and O4-thymine sites. Heats of alkylation by candidate ultimate carcinogens are calculated here for numerous parent dialkylnitrosamines. Finally, these two factors are jointly considered in an attempt to correlate them with experimental carcinogenic potency of the parent nitrosamines. Out of the patterns of correlation observed, light is shed on mechanistic factors likely to be involved in the modulation of parent carcinogenic potency.
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  • 162
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    International Journal of Quantum Chemistry 35 (1989), S. 717-719 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 163
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    International Journal of Quantum Chemistry 35 (1989), S. 751-760 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Formulas for the energies and widths of shape resonances, i.e., quasi-stationary levels for a quantal particle moving in a spherically symmetric potential, valid also close to the top of the potential barrier, have been published by Drukarev, Fröman, and Fröman. On the basis of these formulas, in the present paper the potential is explicitly expressed in terms of experimental data on the energies and widths of the quasi-stationary states. The treatment is related to previous treatments by Wheeler and by Cole and Good, Jr., which are in turn related to the Rydberg-Klein-Rees method.
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  • 164
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Structural parameters of a set of five thiocarbonyl molecules in the lowest nπ* states are calculated by using a generalized orbital optimization algorithm (a variant of the orthogonal gradient method) in an INDO MCSCF framework. Transition energies, singlet-triplet splittings, planar inversion barriers, and dipole moments in nπ* states of different spin multiplicities are reported. Predicted structural features agree reasonably well with available experimental or theoretical data. Some interesting trends are noted in the computed inversion barrier heights, singlet-triplet splittings, and dipole moments in nπ* states.
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  • 165
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    International Journal of Quantum Chemistry 35 (1989), S. 687-700 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We consider the Hückel approximation to the π-electron spectrum of molecules which are built by linking a number of identical fragments to a central atom in an identical manner. The Hückel matrix H of the composite molecule (or equivalently the adjacency matrix of the molecular graph) is simply related to the Hückel matrix h of the fragment and a vector \documentclass{article}\pagestyle{empty}\begin{document}$ vec{f} $\end{document} which encodes the bonding of a fragment to the central atom. The eigenvalues and eigenvectors of H are obtained from those of h. The orbitals of the composite molecule are of three types: (1) a molecular orbital of the fragment localized on one of the fragments, (2) a molecular orbital of the fragment spread over more than one fragment, and (3) orbitals spread over the entire molecule including the central atom. The orbital energies Λ of the first two types of orbitals are same as the orbital energies λ of the fragment. Energies of the third type of orbitals separate a subset of orbital energies of the fragment and, barring accidental degeneracy, they are distinct from all orbital energies of the fragment. It is only through the third type of orbitals that the composite molecule manifests itself as a new entity rather than an aggregate of noninteracting fragments. It is shown that the graph group of H fails to explain its degeneracy if any eigenvector of the subgraph, not orthogonal to the connection vector \documentclass{article}\pagestyle{empty}\begin{document}$ vec{f} $\end{document}, belongs to a degenerate manifold of h. This solves a long-standing puzzle regarding degeneracy in the Hückel spectrum of triphenylmethyl.
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  • 166
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    International Journal of Quantum Chemistry 35 (1989), S. 711-715 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A personal and partially anecdotal account is given of the role of the Debye-Waller factor in protein crystallography and protein dynamics.
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  • 167
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    International Journal of Quantum Chemistry 35 (1989), S. 745-749 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A quantum system is repeatedly prepared in the same way and then observed in measurement processes. The following problem is stated and solved: Given the results of a series of observations, what is the best guess for a density matrix describing the ensemble of prepared systems? The corresponding classical problem and its solution are obtained as a special case.
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  • 168
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    International Journal of Quantum Chemistry 35 (1989), S. 887-893 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: New solutions for reaction-diffusion equations, called singletons and polytons, are found to be of fundamental significance. They exhibit properties of self-formation. In the presence of nonlinear saturation effects their evolutions in time have pronounced maxima. Information about details of an initial spatial distribution is found to be carried along in time with the dynamic process of forming a growing singleton and to be restored at a later stage.
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  • 169
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    International Journal of Quantum Chemistry 36 (1989), S. 277-285 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The effect of electron correlation on the results of pseudopotential calculations was examined using a simple analytical semiempirical pseudopotential and a correlated floating-type one-center wave function. Investigations were performed for the XH alkali metal hydride molecules (X = Na, K, Rb, Cs). The inclusion of the electron correlation in the ground state proved important for the calculation of the dissociation and ionization energies, but it is less significant for the determination of the equilibrium nuclear distances. The ground state potential energy curves are also determined.
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  • 170
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  • 171
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    International Journal of Quantum Chemistry 36 (1989), S. 473-486 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: It is shown that doubly excited states play an important role in calculations of the optical activity of molecules with well-conjugated electron systems, such as the DNA bases. In some significant cases it is necessary to include a large number of excited states in the configuration interaction (CI) to obtain a reliable, converging result. A new version of the CNDO/OPTIC method, which includes doubly excited states in the CI, is proposed. As an application, the electric transition moments in different pyrimidines are considered. The calculated results agree with experimental data and results obtained from ab initio calculations and INDO calculations using doubly excited states in the CI.
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  • 172
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    International Journal of Quantum Chemistry 36 (1989), S. 157-167 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The simple semiquantitative approach to the calculation of the energy of surface states, proposed recently by the authors, is applied to high-symmetry surfaces of selected transition metal carbides, nitrides, and oxides. The results are compared with recent experimental and theoretical data. The necessity to include the changes in the potential at the crystal surface is indicated.
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  • 173
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    International Journal of Quantum Chemistry 36 (1989), S. 201-211 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this paper a general method for the evaluation of the matrix elements of spin-dependent operators is proposed to improve the treatment primitively suggesteed by Cooper and Musher. This approach is largely based on the recent results which the present authors have achieved in the representation theory for the inner- and outer-product reduction of the symmetric group. It is shown that the so-called outer-product coupling coefficients (OPCC) can be used to generalize the method for constructing the irreducible tensor operators of group Sn. Together with the use of inner-product coupling coefficients (IPCC), an expression for the matrix elements of spin-dependent operators is presented as the product of a Racah coefficient for Sn and a reduced matrix element which can be expressed in terms of IPCC, OPCC, and the related integrals. The treatment for one- and two-electron spin-dependent operators is discussed in detail.
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  • 174
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    International Journal of Quantum Chemistry 36 (1989), S. 599-632 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A spin-free symmetry-adapted valence bond (VB) state, named bonded tableau (BT), is deduced from the classical bonded function and labeled by an at most two-column Weyl tableau. The complete set, which is composed of the BT basis or canonical bonded tableau (CBT), can be constructed from an overcomplete set of BT states. CI CBT and VB CBT are two kinds of complete sets that are constructed in this paper. They can be used, respectively, in the CI and VB theory. It is shown that there is a one-to-one correspondence between the labeling scheme for CI CBT and the Gelfand-Tsetlin (GT) basis. This relationship enables an efficient generation and compact representation of the BT basis if one desires to use the known global representation scheme for the GT basis. Effective algorithms for the matrix element evaluation of unitary group generators and products of generators between BT states are presented. In the formulation, the action of a generator on a BT state yields another BT state times a coefficient, so that the matrix elements of an arbitrary multiple product of generators are reduced to a calculation of the overlaps between BT states. The evaluation of the overlaps leads to a simple factorization into cycle contributions, whose values are given explicitly and only depend on the length parameters of the cycles. It is hoped that the presented formalism can facilitate the procedures for handling of the many-electron correlation problem.
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  • 175
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    International Journal of Quantum Chemistry 36 (1989), S. 647-657 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A well-known model of two coupled Morse oscillators is studied within the context of box quantization. Two variants are considered: analysis of stabilization graphs or addition of an optical potential. These methods are shown to give efficient alternatives for the determination of unimolecular dissociation rates.
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    International Journal of Quantum Chemistry 36 (1989) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 177
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    International Journal of Quantum Chemistry 36 (1989), S. 705-726 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Linkage properties of the diagrammatic representation of the energies obtained in the multireference many-body perturbation calculations with respect to the incompleteness or completeness of the model space are discussed. The case of not completely degenerate model space is considered for which a comparison with the standard single-reference many-body perturbation expansion is possible. The Hose-Kaldor type of graphical representation of the perturbation expansion for the effective Hamiltonian is used in this comparison. It is shown that for an incomplete model space the perturbation expansion is not size-extensive. In this case, for a truncated expansion of the effective Hamiltonian, the energies obtained by diagonalization of the effective Hamiltonian matrix are represented by both linked and unlinked irreducible contributions. The unlinked ones do not appear when the complete model space is used.
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    International Journal of Quantum Chemistry 36 (1989), S. 791-791 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 179
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    International Journal of Quantum Chemistry 36 (1989), S. 553-561 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electronic properties of a one-dimensional diatomic crystal have been analyzed by using the MO-LCAO method in the tight binding approximation, with mathematical techniques involved in setting up and solving difference equations. The approach gives the exact sets of analytic solutions for both localized and nonlocalized states. The theory of surface states is developed as a characteristic value problem. To illustrate the method the surface states for a semiinfinite crystal which contains a local imperfection at the surface were examined. It appears that this method has advantages over previous methods developed to solve surface problems in crystalline lattices.
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    International Journal of Quantum Chemistry 36 (1989), S. 633-646 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Energy levels of I2 ⃛ X van der Waals (VDW) molecules, where X is a rare gas atom (X = He, Ne) are obtained in an approximate way by using cofocal elliptic coordinates and taking the I2 internuclear axis as a quantization axis. This is the starting point to study vibrational predissociation (VP) of larger I2 ⃛ Xn (n ≥ 2) clusters, where a good energetic description may provide accurate initial conditions from which trajectory calculations can be carried out.
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    International Journal of Quantum Chemistry 36 (1989), S. 669-670 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 182
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    International Journal of Quantum Chemistry 36 (1989), S. 765-771 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Vibrational and vibration-rotational energy levels of ozone and its isotopic substitutes have been calculated variationally by the ladder operator method. Thirty vibrational band origins and rotational energies of vibrational ground states for these molecules have been given. The good agreement between the calculated results and the observed values shows that the calculation method is a promising one for variational studies of vibrational and vibration-rotational properties of nonlinear polyatomic molecules.
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    International Journal of Quantum Chemistry 36 (1989), S. 741-748 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Earlier work on the Pauli potential VPauli, which allows the square root of the electron density to be calculated directly from a Schrödinger equation, is generalized from two-level (radial) systems such as the Be atom to the n-level case in one dimension. This is achieved using hyperspherical functions, in terms of which the first- and second-order density matrices are expressed. It is confirmed that VPauli can be constructed from the ground-state density ρ (x) and its first two derivatives, plus the functional derivative of the single-particle kinetic energy with respect to ρ. Finally, contact is made with the Harriman construction, but now using approximate one-body orbitals.
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    International Journal of Quantum Chemistry 35 (1989), S. 373-383 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The Herndon-Simpson model for a particular catacondensed polyphene chain is considered as a nontrivial many-body Hamiltonian, defined on a space with a basis of orthonormal Kekulé structures. An Explicitly correlated cluster expanded resonance-theoretic wave function is described for this model, and its quality is judged by calculation of the standard deviation for the energy expectation. The quality is found to be high. Indeed, for a particular parameter ratio within the range of experimental interest, the wave function ansatz is found to be exact. This very accurate solution is then used to gauge the quality of the common ansatz with equally weighted Kekulé structures, and it is found to be reasonably good.
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    International Journal of Quantum Chemistry 35 (1989), S. 433-439 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We show that even when the nuclear motion is quantum mechanically described, the energy of a molecular state can be exactly expressed as a sum of terms, each one related to a nuclei of the molecule. This is a generalization of a similar result obtained by Politzer and Parr for the case in which the nuclei are in fixed positions. In fact, the nuclear motion is exactly taken into account through a modified screening function derivative evaluated on each nucleus of the molecule. We discuss how the screening function derivatives corresponding to the fixed nuclei case relate to those which take into account the nuclear motion. A simple relation between these two arises in the so-called crude Börn-Oppenheimer approximation.
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  • 186
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    International Journal of Quantum Chemistry 35 (1989), S. 461-470 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A combinatorial derivation of the product of the class of three cycles, [(1)N-3(3)]N with an arbitrary class operator of the symmetric group SN is presented. The form of this result suggests a conjecture concerning the expression of the general class operator product in terms of a relatively small number of reduced class coefficients. The conjecture is applied to the determination of the products of [(1)N-4(4)]N, [(1)N-4(2)2]N, and [(1)N-5(5)]N with arbitrary class operators. General expressions for the reduced class coefficients of the simplest type are obtained.
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  • 187
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    International Journal of Quantum Chemistry 35 (1989), S. 513-518 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The local energy is examined as an indicator of the accuracy of approximate wave functions for the ground state of helium. It is observed that at a given point (1) an inaccurate local energy may or may not correspond to an inaccurate value of the wave function or probability density, but (2) a value of the local energy within 0.1 a.u. of the ground-state energy corresponds to a value of the approximate wave function or probability density within about 10% of that for the ground-state wave function.
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    International Journal of Quantum Chemistry 35 (1989), S. 567-575 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A configuration-averaged Fock (CAHF) operator is developed within the restricted open-shell formulation (ROHF) for the case of any number of open-shell orbitals containing any number of electrons. The resulting orbitals and energies should be useful for those cases where there is a great degeneracy of states, either preventing self-consistent field convergence, or negating the value of a pure state description itself. This procedure is compared with the hyper-Hartree-Fock method of Slater and the grand canonical Hartree-Fock ansatz of Abdulnar, Linderberg, Öhrn, and Thulstrup.
    Additional Material: 2 Tab.
    Type of Medium: Electronic Resource
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  • 189
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    International Journal of Quantum Chemistry 35 (1989), S. 585-592 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A new unitary operator U, which can transform the Fock space of a three-dimensional isotropic harmonic oscillator into the space in which the Hamiltion of three coupled oscillators is diagonized, is found. The coordinate representation of U is presented and is used to directly derive the wave function of the energy eigenstate of the coupled oscillators.
    Type of Medium: Electronic Resource
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  • 190
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    International Journal of Quantum Chemistry 35 (1989), S. 649-663 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An explicit relation is derived between the one-body potential energy and the electron density for the ground state of the Be atom in a nonrelativistic framework. This same relation applies to any four-electron atomic ion (or to Be itself) in a state where the electrons occupy two doubly filled orbitals. The relation is interpreted as an exact Hartree-like model of the Hohenberg-Kohn theorem within the general context of N electrons and a potential that is not necessarily spherically symmetrical.
    Type of Medium: Electronic Resource
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  • 191
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    International Journal of Quantum Chemistry 35 (1989), S. 701-701 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 192
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    International Journal of Quantum Chemistry 35 (1989), S. 769-778 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: After a brief review of the historical development of the concept “antiparticle,” some recent theoretical results on CP violation are reviewed.
    Type of Medium: Electronic Resource
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  • 193
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    International Journal of Quantum Chemistry 36 (1989), S. 35-48 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A spin-free polynomial representation of antisymmetrized geminal products is presented for several cases. In particular, products of identical geminals, which possess different spin multiplicity, are considered. The cases of singlet geminals, singlet geminals with one or two triplet geminals coupled to the lowest possible spin multiplet, and triplet geminals coupled to an arbitrary multiplet are considered in detail, and explicit polynomial representation is given.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 194
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    International Journal of Quantum Chemistry 36 (1989), S. 61-65 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The Riccati equation is shown to be suitable for obtaining implicit approximate analytic expressions for the eigenvalues of quantum-mechanical systems. The Hamiltonian operator H = (1/2)p2 - (Z/r) + λr2 is used as a test example, and the resulting formulae are modified to deal with the Zeeman effect in hydrogen.
    Additional Material: 2 Tab.
    Type of Medium: Electronic Resource
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  • 195
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    International Journal of Quantum Chemistry 36 (1989), S. 49-60 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A perturbative SCF CI treatment to obtain energy levels of coupled oscillator systems is proposed. The method uses the virtual SCF basis set, and the SCF equations are solved by means of a perturbative treatment that provides the diagonal matrix elements involved in the CI calculation. The off-diagonal matrix elements are calculated using a commutation relationship derived from exact quantum theorems. Numerical results for several systems are obtained and compared with those from others SCF, SCF CI, and variational treatments.
    Additional Material: 8 Tab.
    Type of Medium: Electronic Resource
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  • 196
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    International Journal of Quantum Chemistry 36 (1989), S. 545-552 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Oxygen clusters of the equilateral ring types On and their negative ions On- are studied by the recently developed pictorial-topological quantum chemistry method, VIF (valency interaction formulas), of this author. The species are found to be of high energy relative to separated oxygen atoms, the cause being evident from the VIF pictures. The odd n rings should be at local minima but are not likely to have observable negative ions. The even n rings have distortional instabilities, yet their negative ions are more likely to be observed as transients in beam experiments.
    Type of Medium: Electronic Resource
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  • 197
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    International Journal of Quantum Chemistry 36 (1989), S. 587-598 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The possible conformational changes of L-serine phosphate due to the interaction with ammonia are investigated by means of ab initio MO-LCAO-SCF calculations, using a supermolecule approach and an STO-3G basis set. The most favorable conformation of a four-hydrated L-serine phosphate anion is found to be changed by the binding of an ammonium ion. Cointeraction of ammonia and NH4+ suggests another conformational change through the displacement of the bridging water molecule of the polyhydrated L-serine phosphate anion.
    Additional Material: 1 Ill.
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  • 198
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    International Journal of Quantum Chemistry 36 (1989), S. 671-672 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 199
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 36 (1989), S. 689-704 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Correlation forms for electrons of the same spin small molecules are analyzed by taking the LiH molecule as an example. The analyses are carried out on the basis of the reduced density matrix theory and for both the ground state and the first excited state. It turns out that although there is a certain similarity, the correlated motions of parallel-spin electrons in this four-electron molecule are more complicated than those found for the two-electron molecule. The correlation forms are not always constant. They vary essentially from one state to another, but are insensitive to fairly large changes of the internuclear distance for a given state.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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  • 200
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    International Journal of Quantum Chemistry 36 (1989), S. 727-739 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Electronic structure and geometry of XY diatomics (X, Y = H, Na, K, Rb, Cs, Cu, Ag, and Au) have been studied by nonempirical versions of ZDO methods which account for major relativistic effects. Influence of the basis set size is investigated for these systems exhibiting the bonding controlled by the [(n - 1)d10]ns1[np0] ⃛ [(n - 1)d10]ns1[np0] interactions; [] are optical.
    Additional Material: 8 Tab.
    Type of Medium: Electronic Resource
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