Ionization potentials of halides. Substituent effects in Cl-, Br-, and I-centered radical cations

The first vertical ionization potentials (I) of halides HalX (Hal = Cl, Br, I; X is an inorganic or organic substituent) are linearly related to the inductive (_I), resonance (_R ⁺), and polarizability () constants of the substituents X (I = a + b_I + c_R ⁺ + d). As the atomic number of the Hal element in the Hal^·+X radical cations increases, the inductive interaction is strengthened while the polarizability interaction is weakened. Conjugation remains virtually independent of the Hal atom. The resonance _R ⁺-constants of the MX₃ (M = Si, Ge, Sn, Pb) substituents bound to the Hal^·+ radical cation centers were first calculated.     

Intensity of the η(C≡C) Bands in the IR Spectra of Acetylene Derivatives and σR 0 Constants of Organosilicon,Organogermanium, and Organotin Substituents

The integral absorptivities of shape-characteristic (CC) bands in the IR spectra of 66 acetylene derivatives RCCX (R = H, Me₃M; X are inorganic and organic substituents) are related by a common linear equation to the _R ⁰ constants of the R and X substituents. The _R R⁰ constants of 10 Alk₃M substituents were calculated. The _R ⁰, _R , and _R ⁺ constants of Me₃M substituents were analyzed. The positive _R ⁰ values (0.12, 0.06, and 0.04 for R = Si, Ge, and Sn, respectively) suggest that in the ground electronic state of Me₃MCCX molecules the resonance acceptor effect of the Me₃M substituents (d, conjugation) prevails over donor (, conjugation). The first effect attenuates and the second enhances as the atomic number of M increases.     

The electronic structures of urazole,pyrrole, and their ions. The σ-π separability problem

Ab initio all-electron LCGTO-SCF-MO calculations have been made on the 5-membered ring nitrogen heterocycles urazole (C₂H₃N₃O₂), pyrrole (C₄H₅N), and their ion radicals. Wavefunctions were obtained, population analyses made, and electron density contour maps drawn. The results show that for urazole considerable polarity develops in the bonds as a result of a large shift of charge towards the nitrogen atoms at the expense of the carbon and hydrogen atom -electrons with only little effect on the oxygen atom charges. In addition, it is concluded that the -electron approximation should be used with great caution for this type of molecule since the - separability conditions are not well satisfied.

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Zusammenfassung Für die Fünfring-Stickstoffheterocylen Urazol (C₂H₃N₃O₂), Pyrrol (C₄H₅N) und ihre Ionenradikale wurden ab initio Rechnungen nach der LCGTO-SCF-MO-Methode durchgeführt, wobei alle Elektronen berücksichtigt wurden. Die Besetzungszahlen wurden ermittelt und die Elektronendichten graphisch dargestellt. Die Rechnungen zeigen, daß für Urazol eine beträchtliche Polarität in den -Bindungen vorhanden ist. Der Grund dafür liegt in der starken Verschiebung der -Ladung in Richtung des Stickstoffatoms auf Kosten der -Elektronen des Kohlenstoffs und Wasserstoffs. Die -Ladungen am Sauerstoff werden kaum beeinflußt. Von einer -Elektronenapproximation für diese Art von Molekülen wird abgeraten, da die --Separationsbedingungen nur ungenügend erfüllt werden.

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Résumé Calculs ab-initio LCGTO-SCF-MO pour tous les électrons des hétérocycles pentagonaux: urazole (C₂H₃N₃O₂), pyrrole (C₄H₅N) et de leurs ions-radicaux. Après obtention des fonctions d'onde, l'analyse de population est affectuée et les cartes de densité électronique sont dréssées. Les résultats indiquent que l'urazole présente une forte polarité dans les liaisons sigma résultant d'un transfert de charge sigma vers les atomes d'azote aux dépens des atomes de carbone et d'hydrogène et en affectant peu les atomes d'oxygène. De plus, la séparabilité sigma pi n'est pas bien satisfaite dans ce type de molécule.

     

Calculation of σ→π* and π→σ* transitions in vinylboranes

Calculations are presented of the energies of the ground and excited and electronic states of ethylene and substituted vinylboranes. The Pople-Segal-Santry method was employed throughout. It is concluded that the excited state of lowest energy in ethylene has * character whilst the lowest energy ultra-violet spectral bands of the latter compounds stem from ^* transitions.

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Zusammenfassung Valenzelektronenrechnungen nach Pople-Segal-Santry wurden für Äthylen und Vinylborane durchgeführt. Danach hat der niedrigste angeregte Zustand von Äthylen ^*-Charakter, während die längstwellige UV-Bande der Vinylborane einem ^* -Übergang entspricht.

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Résumé Calculs de l'énergie pour les états fondamentaux et excités et de l'éthylène et des vinylboranes substitués. Utilisation de la méthode de Pople-Ségal-Santry. L'état excité le plus bas pour l'éthylène résulte d'une transition ^* , alors qu'il résulte d'une transition ^* pour les vinylboranes.

     

Acid — Base properties of 3(5)-azido-1,2,4-triazoles

The pK_a and values of a series of 3(5)-azido-1,2,4-triazoles are correlated with the _I and _C constants according to the equation pK =_II + _CC + pK_o. The high _I values in both cases are due to the closeness of the substituent to the reaction center. The _C/_I ratio attests to different contributions of the inductive and mesomeric effects of a substituent during transmission of its effect from the 5-position to the N₁ and N₄ heteroatoms.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 9, pp. 1288–1291, September, 1974.     

Spectral Characteristics and Surface Morphology of Organic Polymer Films Containing Vanadium Pentoxide Nanoparticles

Films of nanosized composites of poly(N-epoxypropylcarbazole) (pEPC) and poly(3,6-di-Br-N-epoxypropylcarbazole) (pdBEPC) with vanadium pentoxide (V₂O₅) are produced for the first time ever. The electroconduction in dark and when illuminated, absorption spectra, steady-state photoluminescence spectra, and time-resolved photoluminescence spectra for the composite films are studied. The results are compared with relevant data for the pEPC, pdBEPC, and V₂O₅films. A conclusion about the formation of donor–acceptor complexes with incomplete charge transfer [pEPC⁺···V₂O ₅ ^- ] and [pdBEPC⁺···V₂O₅ ^-] is made. The surface morphology of the composites differs in the size of V₂O₅ fibers and polymer grains; the polymer inclusions in the composites are of different character. A surface morphology study reveals that the composite constituents—polymer base and V₂O₅ fibers—are nanosized.     

Hyperconjugation of unsymmetrical groups

The interaction of the -bond system with the -electron system in molecules of type {ie427-01} is easily determined for the symmetrical CH₃ group by isolating the -component from the system of three -bonds; CH₃ is thus treated as a C=X quasivinyl group. The theory is extended to unsymmetrical groups.Read at the Symposium on Quantum Chemistry, Palanga, June 1965.     

Correlation of nucleae quadrupole resonance frequencies with some chemical constants in the aliphatic series

Linear relationships are established between the nuclear quadrupole resonance frequencies of alkyl chlorides, RCl, on the one hand, and the pK_a values of RCOOH and RNH₂ as well as the Taft ^* constants, on the other hand. Similar linear correlations were found between the NQR frequencies of the substituted compounds XCH₂Cl and the pK_a of XCH₂COOH, XCH₂NH₂, XCH₂OH, as well as the ^* constants of XCH₂ radicals, where X are electronegative substituents. X substituents with unshared electron pairs (RO, RS, F, Cl, Br) are an exception; nevertheless, the deviation of these points is regular and depends linearly on the resonance parameters _R ⁰ or _R of the X substituents. The relationships can be used for an approximation of the ionization constants of a number of fatty acids, for the calculation of the Taft ^* constants of radicals R and XCH₂ and of the resonance parameters _R ⁰ and _R of X substituents with an accuracy which in many cases is in no way inferior to that of the experimental values, and also for the approximate evaluation of the ionization constants of XCH₂NH₂ amines and XCH₂OH alcohols.     

New notions of active surface composition of reforming catalysts

Some peculiarities of adsorption and catalytic properties of electron deficient platinum atoms (Pt) in reforming catalysts are presented. It appears possible to improve catalysts modifying Pt centers with -donor molecules.     

Charge control in the formation of complexes of phenol with unsaturated compounds containing organometallic substituents from group IV

The resonance donor effect of the , conjugation of R₃M and R₃MCH₂ (M = Si, Ge, Sn; R is an alklyl group) substituents with the triple bond in compounds R₃MC=CX and R₃MCH₂CCX (X = H, R) changes on passing from isolated molecules to their H-complexes. A partial ⁺ charge on the triple bond enhances , conjugation; a partial ^– charge on the triple bond has practically no effect on the resonance properties of R₃M substituents, whereas the , conjugation of R₃MCH₂ substituents diminishes owing to the effect of negative direct resonance interaction. The effect of , conjugation on the effective negative charges of the carbon atoms in the -CC- fragments was estimated quantitatively.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 6, pp. 1041–1046, June, 1994.This work was supported by the Russian Fundation for Basic Research (Grant 93-03-18372).     

Predissociation lifetime of the 1σ g 2 2σ g diabatic state of He 2 + : a one-channel approach

Summary This work is concerned with the application of a one-channel model to obtaining predissociation lifetimes and transition rates in a system of crossing diabatic states. The calculation focuses on the first shape resonance of the 1 _g ² 2 _g diabatic state of He ₂ ⁺ , which is relatively stable with respect to tunneling. This resonance predissociates as a result of the 1 _g ² 2 _g state being crossed by the 1 _g 1 _u ² dissociative diabatic state near the resonance level. We have estimated its predissociation lifetime to be of the order of 10^–11 s.     

Calculation of two-center zero-field splitting integrals

Two-center zero-field splitting (ZFS) integrals have been calculated by numerical integration of Coulomb repulsion integrals which are evaluated over basic charge distributions as defined by Roothaan in terms of Slater atomic orbitals. The method is applied to the calculation of the ZFS integrals for -, - and - electron interactions on C, N and N⁺ centers. Numerical results are given.

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Zusammenfassung Zweizentren ZFS-Integrale sind mittels numerischer Integration von Coulombintegralen berechnet worden, und zwar die -, -- und --Integrale an C-, N- und N⁺-Zentren. Die numerischen Resultate werden mitgeteilt.

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Résumé Les intégrales bi-centriques de séparation à champ nul (ZFS) ont été calculées par intégration numérique des intégrales de répulsion coulombiennes évaluées pour les distributions de charge fondamentales définies par Roothan en termes d'orbitales atomiques de Slater. La méthode est appliquée au calcul des intégrales ZFS pour les interactions -, - et - sur les centres C, N et N⁺. Résultats numériques.

     

Exchange kernel of density functional response theory from the common energy denominator approximation (CEDA) for the Kohn–Sham Green's function

A complete and explicit expression for the exchange kernel f _x of density functional response theory (DFRT) is derived in terms of the occupied Kohn-Sham (KS) orbitals _i. It is based on the common energy denominator approximation (CEDA) for the KS Green's function (O. V. Gritsenko and E. J. Baerends, Phys. Rev. A 64, 042506 (2001)). The kernel f _x ^CEDA is naturally subdivided into the Slater f _S ^CEDA and the 'response' f _resp ^CEDA parts, which are the derivatives of the Slater _S and response _resp potentials, respectively. While f _S ^CEDA is obtained with a straightforward differentiation of _S , some terms of f _resp ^CEDA are obtained from the solution of linear equations for the corresponding derivatives. All components of f _x ^CEDA are explicitly expressed in terms of the products _i ^* _j of the occupied KS orbitals taken at the positions r ₁ and r ₂, as well as the potentials of these products at r ₃. The coefficients in these expressions are obtained by inversion of the matrix, associated with the overlap matrix of the products _i ^* _j and _k ^* _l . Terms are indicated, which generate in an external electric field an ultra-nonlocal potential _x , counteracting an external field, and possible approximations to f _x ^CEDA are considered.     

Detector quantum efficiency: An important parameter for FT-IR spectroscopy

Spectral detectivities (D ^*()) are commonly used to characterize the sensitivity of infrared detectors, but for most spectroscopic purposes they are very misleading.For photon detectorsspectral detector quantum efficiencies ( _q ()) are needed in order to calculate the (S/N) ratio for the photon-noise limited situation. An equation to calculate _q(#x03C3;) fromD ^*() values is presented. The results for some common IR-detectors are surprising.As an application for the use of _q () values theS/N ratio of an FT-IR spectrum from an optimized FTS instrument under photon-limited conditions is given.     

Synthesis and protonation of an OS3(μ-H)(CO)10(μ-σ,η2-C≡CCMe2OMe) cluster

Triosmium cluster Os₃(-H)(CO)₁₀(--²-CCC Me₂OMe) (1) was obtained by treating OS₃(-H)(-Cl)(CO)₁₀ with LiCCCMe₂OMe. The reaction of cluster1 with HBF₄ · Et₂O at –60 °C leads to the cationic complex [Os₃(-H)(CO)₁₀(-,,²-C=C=C Me₂)]⁺BF₄ ^– (2) with an allenylidene ligand. The^s1H and¹³C NMR spectra of complex2 reveal the temperature dependence caused by migration of hydrocarbon and carbonyl ligands. Thermodynamic parameters were obtained for be exchange process of the allenylidene ligand.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 12, pp, 2990–2992, December, 1996.     

Substituent parameters for radical reactions Cerium(IV) — substituted toluenes — acrylonitrile system

Summary In the present study, a new approach for the determination of ', that is, radical substituent parameter, has been described. The technique is based on two equations, one reported byYamamoto andOtsu and the other byStreitwieser andPerrin. The system used for the determination of the radical substituent parameter (') was Ce(IV) — substituted toluenes — acrylonitrile system. To explain inhibition, it has been suggested that the reaction scheme involves initiation of polymerization by Ce(IV) and termination by primary radical of the substrate. The kinetic expression based on the reaction scheme formulated could explain the unusual observation of a negative intercept found in the plot of [M]/R _p versus 1/[M]. Whereas a plot of log /₀ against ⁺ did not give a straight line, a good linear plot with zero intercept was obtained when log /₀ was plotted against (⁺ + '). This proves the validity of ' values which have been determinded.     

Photoelectron spectra of vinyl tellurides

The lowest energy band in the photoelectron (PE) spectra of alkyl vinyl tellurides is attributed to-MO with predominant contribution from the p_z-AO of the tellurium atom. The second and fourth lowest energy bands correspond to-MO. An additional-MO is located between these-MO. The introduction of a second vinyl group hardly affects the HOMO. The heterocyclization of divinyl telluride has a large perturbation effect. Nevertheless, divinyl telluride and tellurophene have the same type of orbital structure.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 4, pp. 935–939, April, 1991.     

Hammett-Taft constants of substituted 2- and 4-quinazolinyl groups

From the chemical shifts of the meta- and para-carbon atoms of the phenyl group in phenylquinazolines the _I and _R ⁰ constants of 2- and 4-quinazolinyl groups were determined. Correlation equations which enable us to calculate the constants of various substituted 2- and 4-quinazolinyl groups are proposed.Deceased.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 3, pp. 686–690, March, 1991.     

Surface charge density on spherical silica particles in aqueous alkali chloride solutions

The results of a systematic investigation on the influence of different alkali ion species on the surface charge density, ₀, of spherical silica particles (AEROSIL 300) in the pH range between 4 and 8 and with electrolyte concentrations from 0.005 M to 0.3 M are presented. The accuracy of the data may be described by a residual deviation,s( ₀ ^m ), including at least four single measurements:s( ₀ ^m )>0.2C/cm². The alkali sequence found for the spherical particles is in agreement with data for porous silica published by other authors.     

Zur objektiven Bewertung des Nachweisverm?gens in der Emissionsspektrographie

Zusammenfassung Für den speziellen Fall der Emissionsspektrographie wird ein allgemein anwendbares Verfahren zur Auswertung von Mehrfachbestimmungen beschrieben, das anzuwenden ist, wenn in n von N Versuchen das analytische Signal unter der Nachweisgrenze liegt. Aus N und n lassen sich bei bekannter Standardabweichung des Meßverfahrens beim betreffenden Gehalt mit Hilfe der normierten Gauß-Verteilung und unter Berücksichtigung des Konfidenzintervalls des Parameters p der Binomialverteilung Konfidenzgrenzen für den Mittelwert der abgebrochenen Meßwertverteilung angeben, woraus über die Eichfunktion entsprechende Gehaltsangaben ermittelt werden können. Vorausgesetzt wird dabei, daß die Meßwerte normalverteilt sind oder durch eine Transformation in normalverteilte Größen überführt werden können. Für kann in vielen Fällen die in einfacher Weise zu ermittelnde Blindwertstandardabweichung _Bl (vgl. I. Mitteilung) eingesetzt werden, andernfalls ist aus Messungen bei höheren Gehalten abzuschätzen. Gleichungen zur Berücksichtigung des Konfidenzintervalls von und eventuell sporadisch auftretender Blindwerte werden angegeben. Die Beeinflussung der Genauigkeit der erhaltenen Ergebnisse durch die Anzahl der Bestimmungen N bei verschiedenem n wird an Hand von Modellrechnungen demonstriert. Ferner wird gezeigt, daß man bei der spektrographischen Bestimmung sehr kleiner Gehalte eine lineare Eichkurve in den Koordinaten [ Y ^*=Y _L+U–Y inU; c] bis zu Y^*=0,18 erhält. Diese bisher nicht beachtete Möglichkeit zur Aufstellung der Eichfunktion bei spektrographischen Spurenbestimmungen vereinfacht nicht nur die Anwendung des beschriebenen Verfahrens zur Auswertung von Mehrfachaufnahmen, sondern ist wegen der Zeitersparnis und der Verringerung der Fehlermöglichkeiten im Vergleich zur üblichen Eichkurvenaufstellung mit Untergrundkorrektur von allgemeiner Bedeutung.

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Summary A general method for the estimation of amounts and concentrations, respectively, below the limit of identification [12] is described and applied to emission spectrographic analysis. In this range it is impossible to calculate an average result of N replicate determinations by measuring the line blackening in the N spectra, because in n of these the line blackening is not to be separated with certainty from the background fluctuations, i.e. the analytical line is below the limit of detection [9]. In these cases the confidence limits of the mean value of the censored sample can be estimated from n and N only, provided the data of conventional measurements were normally distributed and their standard deviation is known. Methods of finding out are shown and the effect of N and of the reliability of on the results is demonstrated. Furthermore the sporadic appearance of blanks is considered and a convenient method for establishing spectrographic working curves in trace analysis is recommended.

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2. Mitteilung: Ehrlich, G., u. R. Gerbatsch: diese Z. 225, 90 (1967).

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Herrn Dr. rer. nat. habil. W. Richter vom II. Institut für Angewandte Mathematik der TU Dresden danke ich für Beratung in mathematischen Fragen, Herrn Dr. R. Gerbatsch für klärende Diskussionen.