Resonance energy of very large benzenoid hydrocarbons

The resonance energy of conjugated benzenoid systems is expressed as contributions arising from independent conjugated circuits. The scheme has been applied to numerous very large conjugated systems. In many cases, it was possible to find regularities in the increments for the resonance energy within a family of benzenoid systems as the number of benzene rings is increased.     

Additivity of resonance energy in benzenoid hydrocarbons

A simple method is described for the calculation of resonance energies (RE ) of linear acenes based on their number of Kekulé structures. The values obtained for the first five linear acenes are used to graph–theoretically calculate RES of a wide variety of benzenoid hydrocarbons. Excellent linear relationships are found between RES and each of A-II, graph-theoretical (GT ), Hess–Schaad (HS ), and Dewar resonance energies (SCF ). These relations apply to 42 hydrocarbons and lead to the following equations: A-II = 0.084RE + 0.080 (0.9999); GT = 0.072RE + 0. 135 (0.9832); HS = 0. 106RE + 0. 169 (0.9889); and SCF = 0.316RE + 0. 166 (0.9899). Correlation coefficients are shown in parentheses. A linear relation also exists between RES and the square roots of the wavelengths of the UV spectra of hydrocarbons of the linear acenes and phene series. Least-squares analysis of the data leads to the following equation: RE = 0.412(λ)^½ ?15.479, with a correlation coefficient equal to 0.9903, in which λ is the wavelength of the β band of the UV spectra of these hydrocarbons. The method predicts no resonance energies for both open chain polyenes and the radialenes.     

The Asymptotic Linearity Theorem for the study of additivity problems of the zero-point vibrational energy of hydrocarbons and the total pi-electron energy of alternant hydrocarbons

By using the approach via the aspect of form and general topology, as well as basic notions of abstract algebra, a theoretical framework has been developed which elucidates the mechanism of the additivity relationships between structure and properties in molecules having many identical moieties. The main theorem, the Asymptotic Linearity Theorem (ALT), together with an auxiliary theorem, the a Independence Theorem, implies that the zero-point vibrational energy (or total pi-electron energy for the case of alternant hydrocarbons)E _n of a linearly extended system B-A _n -B having n repeating identical moieties has the asymptotic expansionE _n = n + +o(1) as n , where is independent of the choice of the end moieties B and B. The theorem being formulated in a general context, the actual implication of the ALT is much broader than the above two applications would indicate.On leave from: Institute for Fundamental Chemistry, 34-4 Nishihiraki-cho, Takano, Sakyo-ku, Kyoto 606, Japan.     

Photosensitized decomposition of hydrocarbons by infrared-laser-induced energy transfers

Using the technique of CO₂ laser photosensitized decomposition, ethane and propane decomposition was investigated in relation to energy transfer from an SF₆ photosensitizer to the hydrocarbon. The end products appearing in the course of irradiation are similar to those formed during classical thermal pyrolysis. The energy transfer from SF₆ to the hydrocarbon is closely related to hydrocarbon decomposition. A similar overall kinetic behavior for the two alcanes allows the use of a general diffusional kinetic treatment, provided pressure, intensity, and duration of irradiation are well defined.     

On total π-electron energy of benzenoid hydrocarbons

Hall's observation that the total π-electron energy E of benzonoid hydrocarbons is a linear functions of the number of Kukule structures is supported by theoretical arguments and extensive numerical work. A rather accurate topological formula for E is obtained.     

Semi-empirical calculation of the energy of formation of hydrocarbons and radicals

A method of calculating the energy of formation of hydrocarbons and radicals having at the same time, single, double and triple bonds, conjugated or not, is developed. The -bond energy and the -bond energy are considered independently. The -bond energy is represented by a sum of terms, each of which is associated with a bond of the molecule. The -bond energy is calculated by an extension of the Pariser, Parr and Pople method. The agreement with experimental results is satisfactory.

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Zusammenfassung Es wird eine Methode entwickelt, für konjugierte und nicht konjugierte Kohlenwasserstoffe und Radikale mit einfachen, Doppel- und Dreifachbindungen die Bildungsenergie zu berechnen. Die Anteile der - und -Elektronen an der Bildungsenergie werden getrennt berechnet. Die Bindungsenergie der -Elektronen wird durch eine Summe von jeweils mit einer Molekülbindung verknüpften Termen dargestellt, die der -Elektronen mit einer erweiterten PPP-Theorie. Die Rechenergebnisse stimmen mit den Experimenten gut überein.

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Résumé Nous proposons une méthode de calcul de l'énergie d'atomisation ou de formation d'hydrocarbures et de radicaux pouvant contenir à la fois des liaisons simples, doubles et triples, conjuguées ou non. Nous calculons séparément la contribution des électrons et des électrons à l'énergie de liaison. L'énergie de liaison est représentée par une somme de termes dont chacun est associé à une liaison de la molécule. L'énergie de liaison est calculée à l'aide d'une extension de la méthode de Pariser, Parr et Pople. Les résultats du calcul sont en accord satisfaisant avec les données expérimentales.

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Chargé de Recherches du Fonds National Belge de la Recherche Scientifique.     

Eigenvalue distributions and asymptotic lines of the energy in alternant hydrocarbons

The bands of orbital energies for several polymeric species of alternant hydrocarbon are calculated. From these, the densities of states are graphed. By integration over the bands, the slope of the asymptotic line for the energy is calculated and compared with the energies of members of the same series calculated directly. For some series, the second, constant, term in the asymptotic line can also be calculated theoretically and compared with that derived from the molecular energies. The results for some related series indicate that for long molecules the number of Kekulé structures does not influence the major term in the energy. The extension of the argument to twodimensional arrays of hexagons is indicated and some results reported. © 1993 John Wiley & Sons, Inc.     

The ion kinetic energy spectra of some aromatic hydrocarbons

The technique of ion kinetic energy spectroscopy has been applied to the study of the aromatic hydrocarbons benzene, toluene, naphthalene, 2-methyl naphthalene, biphenyl and anthracene. The method is illustrated by a complete study of naphthalene in which transitions of metastable doubly- and singly-charged ions are listed, including reactions in which singly-charged ions are formed by collision induced charge-exchange reactions of doubly-charged ions and by the double process of charge-exchange and metastable decomposition with loss of one or two hydrogen atoms. Decompositions of doubly-charged ions into two singly-charged ions, together with the kinetic energies released in these decompositions, are also given for all the compounds studied.     

Additive nodal increments for approximate calculation of the total π-electron energy of benzenoid hydrocarbons

An approximate method that allows efficient calculation of the total -electron energy (E ) of benzenoid hydrocarbons is presented. It is based on an additive scheme taking into account the characteristic features of variously annelated benzene rings expressed in terms of the numbers corresponding to the different nodes of the dual graph of the hydrocarbon molecule. The parameters of the model are fitted by a test calculation on 1030 hydrocarbons. The mean square error obtained in E is 0.07%. The method provides a connection between the names of hydrocarbons and their stabilities.     

Optimization of the extraction of polycyclic aromatic hydrocarbons from wood samples by the use of microwave energy

A simple and rapid microwave-assisted extraction (MAE) procedure was developed and optimized for benzo[a]anthracene, benzo[e]pyrene, benzo[b]fluoranthene, benzo[k]fluoranthene and benzo[a]pyrene in wood samples. The spiked wood used was prepared 3 months before analysis to simulate weathering processes and to allow the formation of analyte-matrix interaction. The samples, immersed in acetonitrile were irradiated with microwaves in a closed-vessel system. Optimization of the method was achieved by using a factorial design approach on parameters such as extraction time, temperature and sample amount. The analysis of extracts has been carried out by reversed-phase high-performance liquid chromatography with fluorescence detection for quantification and UV-diode-array detection for confirmation. The MAE procedure yielded extracts that could be analyzed directly without any preliminary clean-up or solvent exchange steps.     

Quantum-chemical calculations of the dissociation energy of the C-H bond in hydrocarbons,alcohols, and ethers

The dissociation energy of the C-H bonds in hydrocarbons, alcohols, and ethers were calculated by semiempirical MNDO, AM1, and PM3 methods. The average error of calculations of theD(C-H) values by using various quantum-chemical methods is 1.3 kcal mol^–1.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 12, pp. 2858–2861, December, 1996.     

Strain energy of small ring hydrocarbons. Influence of C-h bond dissociation energies

Ab initio calculations at the G2, G3, and CBS-Q levels of theory have been applied to the question of the origin of ring strain in a series of unsaturated hydrocarbons. In addition to the angular ring strain germane to all three-membered ring hydrocarbons, a general trend is in evidence that suggests that the increased ring strain (SE) of unsaturated small ring alkenes may be attributed in part to their relatively weak allylic C-H bonds. The high strain energy of cyclopropene (54.1 kcal/ mol) is attributed largely to angular strain. The anomalously low SE of cyclobutene relative to cyclobutane (DeltaSE = 4 kcal/mol) is a consequence of normal C-H bond dissociation energies for cyclobutane (100.6 kcal/mol) and very strong vinyl C-H bonds (111.9 kcal/mol) and a relatively strong pi-bond energy (63.5 kcal/mol) for cyclobutene. The greater SE of methylenecyclopropane (39.5 kcal/ mol), relative to methylcyclopropane (29.8 kcal/mol), can be attributed to the strong ring C-H bonds of methylcyclopropane (110.5 kcal/mol) and relatively weak allylic C-H bonds (99.3 kcal/mol) of methylenecyclopropane. The increased SE of 1-methylcyclopropene relative to isomeric methylenecyclopropane is ascribed to its weak ring C-H bonds and to angular strain. The relative thermodynamic stability of a series of small ring alkenes is determined by a measure of their hydrogenation enthalpies. Independent confirmation of the SEs of a series of substituted cyclopropenes is provided by their dimerization/combination with cyclopropane to form a six-membered ring reference compound.     

Efficient method for calculating the resonance energy expression of benzenoid hydrocarbons based on the eunumeration of conjugated circuits

To reduce the calculating time for the summations over linearly independent and minimal conjugated circuits of benzenoid hydrocarbons (BHs), an approximate method is proposed that counts only the numbers of the first four classes of conjugated circuits R1, R2, R3, and R4, respectively. By representation of BHs as custom-made "ring-block chains" and use of the techniques of Database and visual computing, an application software is realized that is much faster and more powerful than the old one based on an enumeration technique.     

Chemical effects of low energy electron impact on hydrocarbons in the gas phase: III. Cyclopropane

The simulated radiolysis of cyclopropane with low energy electrons (3.5 to 15.0 eV) was investigated. The setup used for the irradiations has been described previously. Appearance curves of the various products formed under electron impact were determined. The features observed on these curves yield various indications.(1) Some products arise from the dissociation of excited molecules. Contributing states are the following ones: a triplet state at 7.4 eV, singlet states at 6.7 and/or 7.7 eV, at 8.55 eV, at 9.4 and/or 9.95 eV and superexcited states lying around 10.2 eV. As in other hydrocarbons studied, the electron impact excitation cross section shows a steep increase at the ionization potential. (2) Other products result from ion fragmentation and ion—molecule reactions.A reaction scheme was proposed to account for the chemical effects associated with excited states and the yields of excited molecules in dissociating states were derived from experimental data. The observations relative to excited molecule fragmentation are in conformity with photolysis data. Additional information on the decomposition processes of molecules excited in the triplet state at 7.4 eV, in the singlet states at 6.7 and/or 7.7 eV and in the superexcited states were obtained.Owing to the complexity of ionic mechanisms it was not possible to distinguish between the contributions of ionization and excitation. Only the radiation chemical yield of products, G(products), was evaluated. The values found for G(products) just above the ionization potential are close to the data obtained in conventional radiolysis which could indicate that secondary electrons having such energies play an important role in radiation chemistry.     

Identification of polycyclic aromatic hydrocarbons (PAHs) in soil by constant energy synchronous fluorescence detection

In this paper, a novel method of constant energy synchronous fluorescence (CESF) was proposed to the simultaneous determination of different polycyclic aromatic hydrocarbons (PAHs) in a mixture of 16 components. When different appropriate intervals of the constant energy (Deltanu=1400 or 4800cm(-1)) were chosen during constant energy synchronous scanning, 13 PAHs could be identified and quantified by the corresponding synchronous spectra. Results show that their linear relations are fine and the limits of detection (LODs) were between 0.2 and 7.6ngml(-1). Then the application of CESF method proposed in the analysis of the real soil samples under the optimum conditions indicated that 11 PAHs could be identified and the total concentration of PAHs in a real soil sample is 5.1microg g(-1), most of PAHs in the soil samples had three or four rings. Recoveries of these PAHs were from 70.9 to 121.4% in most cases. This CESF method is a simple, rapid, sensitive method with high resolution and also suitable to analyze the complex mixtures of PAHs in other environmental samples.     

Excitation energy calculation of conjugated hydrocarbons: a new Pariser-Parr-Pople model parameterization approaching CASPT2 accuracy

A new parameterization for the Pariser-Parr-Pople (PPP) model for conjugated hydrocarbons is proposed in this work. The distance-dependence of PPP parameters are obtained from CASPT2 ground state and low-lying excited state energies of ethylene and its cation at various C-C single bond lengths and are fitted to a set of carefully chosen mathematical functions. Our new PPP model is applied to the calculation of vertical singlet-triplet energy gaps and the excitation energies for low-lying π→π(*) valence excitations in various π-conjugated molecules. Results with the new PPP model are consistently better than the standard PPP model in use. It often surpasses density functional theory and single-reference excited state methods such as configuration interaction singles or time-dependent density functional theory in terms of its accuracy and agrees reasonably well with high-level theories or experiments.     

A linear energy relationship between activation energy and absolute hardness: a case study with the O(3P) atom-addition reactions to polyaromatic hydrocarbons

A new linear relationship between absolute hardness and global activation energy of O-addition reaction to a series of aromatic hydrocarbons (benzene, naphthalene, phenanthrene, and pyrene) is presented. A total of seventeen O((3)P)-addition reactions were evaluated. Thermal rate constants were calculated for each elementary reaction and used to estimate the total rate constants. This information was employed to obtain the global activation energy. A new linear relationship is shown and is estimated that it can be used within the RC-TST framework to predict relative rate constants for any reaction within an O-addition to PAH class from just absolute hardness values.     

On the classification of polyhex hydrocarbons

A novel classification scheme for polyhex hydrocarbons is proposed.