Graphs corresponding to reference polynomial or to circuit characteristic polynomial

A vertex-weighted graphG ^* is studied which is obtained by deleting edgee _rs in a circuit of a graphG and giving two vertices _r and _s weightsh _r = 1 andh _s = -1, respectively. It is shown that if subgraphG - _r is identical with subgraphG - _s, then the reference polynomial ofG ^* is identical with that ofG and the characteristic polynomial ofG ^* contains the contributions due to only a certain part of the circuits found in the original graphG. This result gives a simple way to find a graph whose characteristic polynomial is equal to the reference polynomial in the topological resonance energy theory or to the circuit characteristic polynomial in the circuit resonance energy theory. This approach can be applied not only to Hilckel graphs but also to Möbius graphs, provided that they satisfy a certain condition. The significances of this new type of reference graph thus obtained are pointed out.     

Atranes

The infrared absorption spectra over the range 400–1700 cm^–1 of ten organyl- and organoxysilatranes, p-CH₃C₆H₄O] are investigated. The SiN coordinate link in these compounds is largely unreflected in the fundamental vibration frequencies of the bonds of the central silicon atom or the internal vibration frequencies of the substituents X linked to that atom. However, all the IR spectra have an absorption band in the 570 cm^–1 region, related to the valence vibrations (SiN), or manifesting itself as the frequency (Si-O) of the XSi (O)₃ group, substantially lowered because of interaction between the Si-O and Si-N bonds. Evidence in favor of this bond is shift of the (Si-H) frequency in the spectrum of silatrane(X=H).For Part V see [1].     

IR-Spektroskopische Untersuchungen an 1,3-Dioxa- und 1,3-Diaza-2-boracyclopentanderivaten

Zusammenfassung Die IR-Spektren von mehreren Dioxa- und Diazaboracyclopentanderivaten wurden zusammen mit jenen von C-deuterierten Verbindungen untersucht. Besonderer Wert wurde auf die Klärung von Kopplungen zwischen BN-, BO- und CH₃-Schwingungen im Bereich zwischen 1550 bis 1300 cm^–1 gelegt.

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IR-spectra of several dioxa- and diaza-boracyclopentanes have been studied together with those of some C-deuterated analogues. Special attention has been given to coupling effects of BN-, BO-, and CH₃-modes in the 1550–1300 cm^–1 region.

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Some anomalies in the vibrational spectra of α, β-unsaturated ketones

Summary Some anomalies in the intensities of the bands of the C=C and C=O bonds in the vibrational spectra of , -unsaturated ketones have been explained by a difference in the sequence of the frequencies of the in-phase (_s) and out-of-phase (_as) vibrations of the multiple bonds in their cis (_s<_as) and trans (_s>_as) arrangements.     

Hydrogen bonding in ε-caprolactam dimer: a quantum-chemical study

The equilibrium geometries, vibrational frequencies, and IR band intensities were calculated for the monomer and hydrogen-bonded cyclic dimer of -caprolactam (1) by the density functional B3LYP/6-311++G(d,p) method and compared with the experimental data. The gas phase IR spectrum of monomer of 1 was first measured. The calculated hydrogen bonding enthalpy H/2 in the hydrogen-bonded dimer in the gas phase (–5.93 kcal/mol) is consistent with the published data. The computed scaled (scaling factor 0.97) vibrational frequencies of the monomer and dimer are in good agreement with the experimental data. The geometry of the -caprolactam monomer remains nearly unchanged in its dimer except for the N-H, C-O, and C-N bond lengths that respectively change from 1.012, 1.230, and 1.369 in the former to 1.029, 1.246, and 1.350 in the latter. The frequencies, eigenvectors, and IR intensities of the amide modes of the monomer and dimer differ dramatically. The calculated NH and CO frequency shifts due to hydrogen bonding are in good agreement with the experimental data, but theoretical intensification of the NH IR band is much greater than that observed experimentally (by nearly 69 times vs. 11 times, respectively). The calculated N...O intermolecular distance in the structure of -caprolactam dimer equals the experimental value (2.89 ). The influence of the basis set employed on the results of calculations is discussed.Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1818–1825, September, 2004.     

Fluxional nickel(II)- and palladium (II)-triazenido (C5H5)(L)(RN3R)M complexes; Evidence for a triplet-state intermediate

Summary The (⁵-C₅H₅)(L)(RN₃R)Ni and (⁵-C₅H₅)(PPh₃)(RN₃R)Pd compounds, with L = PPh₃, CO, CNR, and RN₃R = diaryltriazenido anion, were prepared. The bonding mode of the triazenido ligand is monodentate in the (⁵-C₅H₅)(PPh₃)(RN₃R)M phosphine compounds. The carbonyl and isonitrile groups are inserted into the nickel-nitrogen bond and a five-membered heteronuclear ring is formed in (⁵-C₅-C₅H₅)(L)(RN₃R)Ni, when L= CO and CNR.Most compounds are fluxional, involving site exchange of the triazenidoaryl-groupsvia intermediates with a chelating bonding mode of the triazenido ligand. The (⁵-C₅H₅)(PPh₃)(RN₃R)Ni compound shows anomalous solution paramagnetism, that is correlated with the fluxional mechanism. The temperature dependence of contact shifts in the n.m.r. spectrum was determined and E-values were calculated.     

Diffusion Sensor of Mechanical Signals: Frequency Response at High Frequencies

The frequency response of a diffusion transducer with gauze electrodes, studied theoretically at high frequencies, is proportional to ^-3/2 starting with = D/R ² at < /R ² and to ^-1 at > /R ². Here, = 2f, f is the signal frequency, the electrolyte viscosity, D a diffusion coefficient, and R the radius of the gauze filaments. The calculation is compared with experiment.     

Infrared spectroscopy of hydrogen bond and substituent effects in electron donor molecules

The frequency shift, , of the O—H stretching mode in the IR spectra of the H-complexes of phenol with electron donor molecules BX_i (B is the n- or -donor center and X_i are substituents; a total of eight series), the change in the Gibbs free energy, G, due to H-complexation, and the parameter (a measure of the ability of BX_i molecules to donate an electron pair; two series) are determined by both the electrostatic interaction and charge transfer in the formation of H-complex. The , G, and values depend not only on the inductive and resonance effects, but also the polarizability of substituents characterized by the parameters.     

An attempt to predict the relative resonance stabilization of some non benzenoid π-electron systems with the perimeter model

The -electron systems of cata condensed aromatic hydrocarbons containing 4 carbon atoms are viewed as perturbed perimeters. The influence of the geometry of crosslinks or of hetero-atoms on the resonance stabilization is assessed. The model is limited to cases in which changes in -strain energy are unimportant.

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Zusammenfassung Die -Elektronen-Systeme kata-kondensierter aromatischer Kohlenwasserstoffe mit 4 Kohlenstoffatomen werden als gestörte Perimeter betrachtet. Der Einfluß der Geometrie von Kreuzverbindungen oder die Einführung von Hetero-Atomen werden beurteilt. Die Anwendung des Modells ist auf Fälle beschränkt, in welchen Unterschiede der -Energie vernachlässigbar sind.

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Résumé Les electrons des hydrocarbures aromatiques cata-condensés contenant 4 atomes de carbone sont considérés comme périmétres perturbés. L'on estime ainsi l'influence de la géometrie des liaisons transversales ou de l'introduction d'hétéro-atomes. Le modèle est limité à des cas où la difference relative d'énergie est négligeable.

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I wish to thank Prof. H. Labhart, Prof. E. Heilbronner and Dr. E. Weltin for useful discussions.     

Far infrared spectra (500–50 cm−1) of the 2,2′-bipyridine complexes of palladium and platinum halides

Summary The far-i.r. spectra of the title complexes have been examined. Band assignments are based on the shifts induced by ligand deuteration and halide substitution. Deuteration of bipyridine causes large shifts ( >10 cm^–1) in internal ligand modes, intermediate shifts between 2 and 9 cm^–1) in metal-nitrogen stretching and bending modes and small to zero shifts in metal-halide stretching and bending vibrations. Generally, the requirements for square planarC _2v synanetry [two (M–N) and two (M–X) bands] are observed. Previous ambiguities in the assignment of the (M–N) bands have been resolved by the isotopic labelling technique employed in this study.     

Frequencies and integral intenstities of the lactone and ester carbonyls of natural guaianolides

The frequencies and integral intensities of the IR bands of the stretching vibrations of lactone and acyclic ester carbonyls at C-8 of ten natural guaianolides and their derivatives, and of three model compounds have been studied. The most probable interpretation of the change in the value of A_C=O and _C=O of the lactone carbonyl have been suggested. In elegin and some of its derivatives, acroptilin, chlorohyssopifolin B, and eleganin, a lowering of the values of A_C=0 and _C=0 in comparison with dihydroelegin, hexahydroelegin, and the hydroxylactone of cynaropicrin is caused by nonvalent interactions of the lactone carbonyl with the -exocyclic double bond. The increase in A_C=O and _C=O in dihydroelegin, hexahydroelegen, and the hydroxylactone of cynaropicrin is due to the angular strain of the -lactone ring. It has been shown that in an acyclic side chain at C-8 an increase in the integral intensity and in the frequency of the ,-unsaturated ester carbonyl relative to guaianolides in which the terminal vinyl group at C-17 is absent is due to a conjugation effect.Institute of the Chemistry of Plant Substances, Uzbek SSR Academy of Sciences, Tashkent. Translated from Khimiya Prirodnykh Soedinenii, No. 6, pp. 805–811, November–December, 1987.     

Die IR-Spektren von B-Methoxy- und B-Trideuteromethoxyborazinen und-boroxinen und Tri[methoxy(d3)boran

Zusammenfassung In Methoxyverbindungen des Bors tritt eine Verminderung der Frequenz der B—O-Valenzschwingung gengenüber den entsprechenden Trideuteromethoxyverbindungen auf. Dies wird durch zufällige Entartung von B—O und CH₃ erklärt, die zu einer Abstoßung und zur Vermischung des Schwingungscharakters dieser beiden Schwingungen führt. Hiedurch werden die B—O-Valenzschwingungen zu tieferen und die CH₃-Deformationsschwingungen zu höheren Wellenzahlen verschoben. Ähnliche Erscheinungen sind auch in Methoxyborazinen durch Wechselwirkung von BN und CH₃ zu beobachten. Diese Deutung gibt auch Hinweise für Zuordnungen in den Spektren von N-Methylborazinderivaten.

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In methoxy substituted boron compounds bands arising from B—O stretching and (O)–CH₃ deformation modes show accidental degeneracy. The frequency of the CH₃ absorption is increased whereas BO is decreased compared to the corresponding CD₃-compounds. The spectra of B-methoxyborazines show similar effects between BN and (O)–CH₃ bands, which is analogous to interference between BN and (N)–CH₃ in N-methylborazines.

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Infrarotspektren von Nickel- und Kobaltphosphit

Zusammenfassung Es wurden Infrarotabsorptionsspektren von NiHPO₃·4 H₂O und den - und -Isomeren von CoHPO₃·2 H₂O im Bereich von 700 bis 3600 cm^–1 aufgezeichnet und die Banden entsprechend zugeordnet. Aus den Spaltungswerten der Absorptionsbande der antisymmetrischen Valenzschwingung _as der PO₃-Gruppe folgt, daß durch den Einfluß der Kationen die Symmetrie des Phosphitanions verringert ist, und am besten mit Punktgruppe C_s beschrieben werden kann. Dies wird durch Vergleich der Wellenzahl der symmetrischen Valenzschwingung _s (PO₂) mit dem nach derRobinsonschen Beziehung ermittelten Wert bestätigt. Aus den Wellenzahlen der Valenzschwingungen _s (PO₂), _as (PO₂) und (PO) wurden die Kraftkonstanten und Längen der PO-Bindungen berechnet, die den beim Kupferphosphit und Magnesiumphosphit mittels Röntgenstrukturanalyse ermittelten Werten entsprechen. Aus der Form der Absorptionsbande der Valenzschwingung der OH-Gruppe wurde die Möglichkeit des Vorkommens einer Wasserstoffbindung über ein Wassermolekül diskutiert.

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Infrared spectra of nickel and cobalt phosphite

The IR spectra of NiHPO₃·4 H₂O and of the -and -isomers of CoHPO₃·2 H₂O have been recorded in the 700–3600 cm^–1 region and frequencies assigned. From splitting values of _as (PO₃) a symmetry decrease of the phosphite anion due to the influence of the cation was found. The symmetry of the phosphite anion therefore is best described under point group C_s. A confirmation was possible by comparing the experimentally obtained symmetric stretching mode _s (PO₂) with the value calculated from Robinson's equation. Stretching vibration wave numbers were used to calculate force constants and PO-bond lengths; these agree with bond lengths found by X-ray analysis of Cu- and Mg-phosphites. The possible existence of a hydrogen bond due to the presence of a water molecule was discussed on the basis of the shape of the _OH bond.

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α BB Resonance in the ν8 Band of Borazine –10B

The high-resolution FTIR spectrum of the fundamental ₈ of borazine ¹⁰B₃ ¹⁴N₃ ¹H₆ was reanalyzed taking into account the ^BB resonance with the combination band (₁₀ + ₁₇). A parameter set for the states ₈ = 1 and ₁₀ = ₁₇ = 1, respectively, is given, reproducing the observed spectrum at least up to J = 30 with experimental accuracy.     

IR-Untersuchungen an B-Tris (dimethylamino) boroxin und B-Tris[dimethylamino (d6)] boroxin

Zusammenfassung In B-Tri(dimethylamino)boroxin zeigt — im Gegensatz zum B-Trimethoxyboroxin — die B–O-Hauptbande nur geringe Kopplung mit CH₃-Deformationsschwingungen. Die B–N-Valenzbande tritt hingegen mit _sCH₃ in Wechselwirkung, wodurch Banden mit gemischtem Schwingungscharakter entstehen. In der deuterierten Verbindung liegt BN verkoppelt mit BO bei 1461 cm^–1

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In B-Tri(dimethylamino)boroxin coupling between the B–O ring stretching main-band and CH₃ is weak in contrast to B-trimethoxyboroxine. Interference between BN and CH₃ leads to bands of mixed character, one of them is above 1500 cm^–1. In [(CD₃)₂NBO] BN coupled with BO is at 1461 cm^–1.

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Untersuchungen zur Thermischen Zersetzung von Aluminiumchloridhexahydrat unter Dynamischen und Quasiisothermen Bedingungen

Zusammenfassung Die Zersetzung des Aluminiumchloridhexahydrats wurde mit Differentialthermoanalyse und Thermogravimetrie in Kombination mit Thermogastitrimetrie unter Anwendung eines Q-Derivatographs untersucht. Es wurde gefunden, daß die Reaktion zu Aluminiumoxid über die Zwischenstufe eines basischen Aluminiumchlorids abläuft. Aus dem Vergleich der unter dynamischen und quasiisothermen Heizbedingungen erhaltenen Ergebnisse folgt, daß diese Zwischenstufe nur unter quasiisothermen Bedingungen beobachtbar ist.

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The decomposition of aluminium chloride hexahydrate was examined by differential thermal analysis and thermogravimetry in combination with evolved gas analysis. The examinations were carried out by means of a Q-Derivatograph. It was found that in the course of the decomposition reaction the compound transformed into aluminium oxide through the formation of basic aluminium chloride as intermediate. Comparison of the curves obtained under dynamic and quasi-isothermal heating conditions showed that the formation of the above intermediate could be observed only under quasiisothermal heating conditions.

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Résumé La décomposition du chlorure d'aluminium hexahydraté a été étudiée par analyse thermique différentielle et thermogravimétrie en association avec l'analyse des gaz, à l'aide d'un Derivatograph Q. La réaction de décomposition conduit à l'oxyde d'aluminium avec formation intermédiaire d'un chlorure basique d'aluminium. La comparaison des courbes obtenues en conditions dynamiques ou quasi-isothermes a montré que l'étape intermédiaire ne s'observe qu'en conditions quasi-isothermes.

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, . Q- . , . - , , - .

     

Analysis of the Temperature and Composition Dependence of Viscosimetric Properties of 2-Butanone <Emphasis Type="Bold">+</Emphasis> 2-Butanol Solvent Mixtures

Kinematic viscosities were measured for 2-butanone + 2-butanol binary liquid mixtures with a capillary Ubbelohde routine viscometer in the temperature range from 273.15 to 353.15 K at atmospheric pressure, and covering the whole miscibility field (0x_i1). Experimental data have been correlated by means of different empirical or semiempirical relationships, such as =(T), =(x_i), and =(T, x_i). Viscosity deviations, , from ideal behavior are negative at all experimental conditions, confirming that structure breaking effects prevail in the liquids. Furthermore, the thermodynamics of viscous flow and excess Gibbs energy of activation of viscous flow, G*^E, have been calculated. As an alternative and complementary approach to such investigations, the fluidity () of this binary system has been analyzed by the modified—Batschinski theory. The results are discussed in terms of the specific molecular interactions between the mixture components.     

A DV-Xα study of lithium-doped magnesium oxide

Quantum-chemical modeling of Li-doped MgO complexes had been carried out. Interaction of anion vacancies with O₂ molecule has been considered. It has been confirmed that this interaction can lead to the pronounced activation of lattice oxygen as a reactant participating in the oxidative coupling of methane.

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- MgO: O^– , . . , , . .

     

Volumetric Parameters of Interaction of Monosaccharides (D-xylose,D-arabinose,D-glucose,D-galactose) with NaI in Water at 298.15 K

Densities for monosaccharide (D-xylose, D-arabinose, D-glucose, D-galactose)–NaI–water solutions were measured at 298.15 K and were used to calculate the apparent molar volumes of these saccharides and NaI. Infinite dilution apparent molar volumes for the saccharides (V_,S) in aqueous NaI and those for NaI (V_,E) in aqueous saccharide solutions and partial molar volumes of the saccharides (V_S) and NaI (V_E) at each composition have been evaluated, together with the standard transfer volumes of the saccharides (_tr V_S) from water to aqueous NaI and those of NaI (_trV_E) from water to aqueous saccharide solutions. It was shown that the _tr V_S and _trV_E values are positive and increase with increasing co-solute molalities. Volumetric parameters indicating the interactions of NaI with saccharides in water were also obtained and applied to explore the interactions between saccharides and NaI in water. A comparison of the _ES value for NaI with those for NaCl and NaBr showed that for a given saccharide, except for glucose, the _ES value for NaBr is the largest of three sodium halides (NaCl, NaBr and NaI). These were interpreted in terms of the apparent molar electrostriction volumes ( V_e) and the structure interaction model.