The transition time for the ground state hyperfine splitting of209Bi82+

The lifetime of the excited hyperfine state of the ground state level of²⁰⁹Bi⁸²⁺ is calculated. The result of (Bi⁸²⁺)=400.09 s still exhibits a discrepancy to the experimental value ^ex=351(16) s of about 14%.     

Accurate lifetime measurements of the 2p 3d 1 D 0 and 2p 3d 3 P 2 0 levels in N II with the beam-foil-laser method

We have obtained accurate values for the radiative lifetimes of the 2p 3d ¹ D ⁰ and 2p 3d ³ P ₂ ^o levels in NII by the cascade-free beam-foil-laser spectroscopy method. Our results are (2p 3d ¹ D ⁰)=0.346±0.012 ns and (2p 3d ³ P ₂ ^o )=0.457±0.020 ns. Comparison of these results with experimental and recent theoretical lifetimes reported previously is also made.Senior Research Associate of the Belgian FNRS     

Über die Diffusion von Makromolekeln in Lösung

Zusammenfassung Polyisobuten (PIB) und Polyphenylvinylketon (PPVK) wurden mit 2 s-Impulsen von 15 MeV-Elektronen oder 25 ns-Lichtblitzen (=347 nm) in verdünnter Lösung in der Hauptkette abgebaut. Die dem kurzzeitigen Abbau folgende Separierung der Molekelfragmente wurde anhand der Änderung der Streulichtintensität (LSI) untersucht. Relaxationszeiten (LSI) > 10 s wurden gemessen. Die Zeit (S), in der eine Kettenspaltung erfolgt, beträgt im Falle des PPVK etwa 0,1 s. Auch für PIB ist (S) (LSI), da in Gegenwart von Cyclohexen zwar der Abbau stark inhibiert wird, (LSI) jedoch unbeeinflußt bleibt. (LSI) wird daher durch die Diffusion der Fragmente bestimmt. Parameterstudien bestätigen dies: (LSI) steigt linear mit der Mikroviskosität an. Im Falle des PIB nimmt (LSI) mit steigender Polymerkonzentration ab. (LSI) hängt nur geringfügig vom mittleren MolekulargewichtM ab ((LSI) M^0,2, im Falle des PPVK und (LSI)M ^0,3 im Falle des PIB). Daher wird geschlossen, daß (LSI) nicht der translatorischen, sondern der Entknäuelungs-diffusion zuzuordnen ist. Dies wird bestätigt durch die signifikante Abhängigkeit von (LSI) von der Knäueldichte. (LSI) steigt nämlich an, wenn man die Knäueldichte von PIB-Molekeln durch Zusatz vonn-Propanol zun-Hexanlösungen erhöht.

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Summary Polyisobutene (PIB) and polyphenylvinylketone (PPVK) were degraded in the main chain in dilute solutions by irradiation with 15 MeV electrons or 25 ns light flashes ( = 347 nm). The separation of the fragments of the macromolecule following the rapid degradation was monitored by measuring the change of the light scattering intensity (LSI). Relaxation times (LSI), > 10 s were found. The time for establishing a chain scission is ca. 0.1 s in the case of PPVK. Also for PIB (S) (LS)) since in the presence of cyclohexene the degradation is strongly inhibited whereas (LSI) remains constant. Therefore, (LSI) corresponds to the diffusion of the fragments. Further evidence for this was obtained by other studies: (LSI) increases linearly with microviscosity. In the case of PIB (LSI) decreases with increasing polymer concentration. (LSI) depends only weakly on the average molecular weightM. ( (LSI) M ^0.2 for PPVK and (LSI)M ^0.3 for PIB). Thus it is concluded that (LSI) does not correspond to translatory diffusion but to disentanglement diffusion. This is furthermore evidenced by the significant dependency of (LSI) on coil density. (LSI) increases by increasing the coil density whenn-propanol is added to n-hexane solutions containing PIB.

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Mit 8 Abbildungen und 1 Tabelle     

Effects of an avoided crossing on linewidths of resonances in the H2 i3Π g state

We have investigated the influence of nonadiabatic effects on the linewidths of quasi-bound rovibrational levels in the i³ _g state of molecular hydrogen. This state has a potential barrier due to the interaction of then=3³ _g Rydberg series and the Q1³ _g valence state. The radial coupling with the higher lying³ _g states has been modelled into a diabatic problem. The widths of thev=4 and 5 levels, a measure for their lifetimes, have been determined both in the adiabatic i³ _g potential, and in the two-state system. The results show small shifts of the i³ _g (v=4,5;N=1) levels of a few wavenumbers, and a significant increase of 49% in the lifetimes of these levels. Both effects are large enough to be important in spectroscopic experiments. The magnitude of the effect is in accordance with observed linewidths obtained in recent experiments. Model calculations for differently shaped potential barriers have been carried out to study the generality of the above conclusions.     

Intramolecular Mobility in the Complexes 2SbCl3· p-C6H4(CH3)2and SbCl3· C6H5COCH3according to 35Cl NQR Data

Temperature dependences of the ³⁵Cl and ¹²¹Sb spin-lattice relaxation time ₁in antimony trichloride complexes with p-xylene and acetophenone were studied using NQR spectroscopy. The activation energies of the retarded motion (similar to that discovered in some v complexes of SbCl₃) of chlorine atoms were determined from the ³⁵Cl ₁(T) function. New data on the shape of the ¹²¹Sb ₁(T) function are discussed.     

A simplified model of the ECD

A simplified model of the ECD is presented, which is based on the assumption that only a change in the concentration of electron is generating a signal. The model allows to determine four different time constants related to: the collection of electrons (₁), the loss of electrons in the capture process by the impurity molecules (₂), the loss of sample molecules by electron capture (_n) and the removing rate of molecules from the detector volume by the carrier gas (_v). The values of these time constants have been estimated to be in the range of s for ₁, ms for ₂, a part of a second for _n and a few seconds for _v. The electron capture efficiency coefficient (p) and the detection coefficient (S_d) have been defined. These coefficients serve in the model for the coulometric calculation of the mass of analyzed compounds, if the detector works using the conditions described.     

Transient photocapacitance study in 4-nitro-4′-aminodiphenyl layers

In 4-nitro-4-aminodiphenyl (NAD) layers the photocapacitance (PhC) transients were investigated. PhC spectral distribution as well as the temperature dependences of time constants (under/_on/or after/_off/illumination) have been measured. The photocapacitance spectral distribution possesses maxima at 350, 500, and 750 nm. It was shown that _on (T) is of exponential form while _off (T) is more complicated. The values of thermal activation energies (0.65±0.05) eV of both time constants coincide. The mechanism of photocapacitance process has been disclosed in NAD layers.     

TPD of ammonia from H-ZSM-5 zeolites deactivated during coupled methanol hydrocarbon cracking (CMHC)

The deactivation of H-ZSM-5 zeolite samples during coupled methanol/hydrocarbon cracking (CMHC) with n-butane as feed has been investigated in two different reaction modes (with intermediate regeneration and without regeneration). TPDA was used to characterize strong Brönsted acidity of fresh, regenerated and steamed H-ZSM-5 zeolite. The prevention of dealumination by blocking the acid centers with carbonaceous products could be proved, but the conversion rate of n-butane and the olefin selectivity declined drastically with increasing coking rate. H-ZSM-5 - / - - ( -). , - H-ZSM-5. - , , - - .     

Charge monotonicity of atomic systems and radial expectation values

A functionf(r) is monotone of orderp if itspth-derivativef ^(p)(r) fulfils that (–1) ^p f ^(p)(r)0. So, e.g. the monotonicity properties of orderp=0, 1, 2 describe the non-negativity (p=0), the monotonic decreasing from the origin (p=1) and the convexity (p=2) of the function, respectively. Here, the monotonicity properties of the electron functiong _n (r; )=(–1) ^{n (n)} (r)r ^– , 0, of the ground state of atomic systems are analysed both analytically and numerically. The symbol (r) denotes the spherically averaged electron density. First of all, the condition which specifies, if exists, a value _np such thatg _n (r; _np ) be monotone of orderp is obtained. In particular, it is found that ₀₁=max {r(r)/(r)}, ₀₂=max {q ₀(r)}, ₁₁=max {r(r)/(r)} and ₁₂=max {q ₁(r)}, whereq ₀(r) andq ₁(r) are simple combinations of the first few derivatives of (r). Secondly, numerical calculations of the first few values _np in a Hartree-Fock framework for all ground-state atoms with nuclear chargeZ54 are performed. In doing so, the pioneering work of Weinstein, Politzer and Srebrenik about the monotonically decreasing behavior of (r) is considerably extended. Also, it is found that Hydrogen and Helium are the only two atoms having the functions (r), –(r) and (r) with the property of convexity. Thirdly, it is analytically shown that the charge functionr ^– (r) with [(1+4Z ²/I)^1/2–1]/2, I being the first ionization potential, is convex everywhere. Finally, the above mentioned monotonicity properties are used to obtain rigorous, simple and universal inequalities involving three radial expectation values which generalize all the similar ones known up to now. These inequalities allow to correlate various statical and dynamical quantities of the atomic system under study, due to the physical meaning of the radial expectation values. It is worth to remember that some of these expectation values may be experimentally measured in experiments of (e, 2e)-type.     

Zur Bereehnung des Behinderungspotentials der inneren Rotation von Wasserstoffperoxid

Zesummenfassung Auf der Grundlage des Hellmann-Feynman-Theorems wird das Behinderungspotential der inneren Rotation von H₂0₂ berechnet unter Verwendung einer genäherten Elektronendichteverteilung, in welcher zweizentrige Bond-Orbitale die Bindungselektronen undsp ³-Hybride die einsamen Elektronenpaare beschreiben. Eine dreitermige Fourier-Approximation des erhaltenen Potentialverlaufs hat die Gestalt:U() = const. + 5,248 · cos + 2,592 · cos 2 + 0,142 · cos 3 [kcal · Mol^–1] .Für die PotentialschwellenU _cis undU _trans ergeben sich 11,76 bzw. 0,98 kcal · Mol^–1, dem Minimum der Potentialkurve entspricht ein Torsionswinkel von 120,5°.

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Using the Hellmann-Feynman-theorem the potential of internal rotation of H₂0₂ is calculated, the electronic charge distribution being represented by two-center bond orbitals andsp ³ hybrid orbitals (for the lone pairs). Developing the calculated potential in a Fourier series leads to the above-mentioned formula. The potential barries are 11.76 and 0.98 kcal/Mole, the angle of twist of equilibrium is 120.5°.

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Resume On calcule à l'aide du théorème de Hellmann Feynman le potentiel de rotation interne de H₂O₂. La distribution de charge électronique de la liaison OH nécessaire pour ce calcul est représentée par une fonction de liaison à 2 centres tirée d'un calcul d'orbitales de liaison de l'eau. Le développement en série de Fourier du potentiel donne:U() = 3.780 + 5.248 cos + 2.592 cos 2 + 0.142 cos 3 [kcal · Mol^–1] .Pour les barrières de potentiel on obtient les valeursU _cis = 11.76 et Urane = 0.98 kcal/Mole; l'angle d'équilibre est trouvé égal à 120° 5.

     

The solid-state structure of (+)-(i)-menthyl 2-formamido-4, 4,4-trifluorobutanoate and the hydrogenation of the 2-butenoate precursor

Hydrogenation ofZ-(–)-(1R, 3R, 4S)-menthyl 2-formamido-4,4,4-trifluoro-2-butenoate catalyzed by Pd/C was performed at atmospheric pressure to yield a mixture of (2R, 1R, 3R, 4S)- and (2S, 1R, 3R, 4S)-menthyl 2-formamido-4,4,4-trifluorobutanoate diastereomers in a 5545 ratio, respectively. Repeated fractional crystallization from ethyl acetate and vapor diffusion of petroleum ether afforded (+)–(2S, 1R, 3R, 4S)-menthyl 2-formamido-4,4,4-trifluorobutanoate as clear colorless, crystalline prisms which were subjected to single-crystal X-ray diffraction analysis. The crystals belong to the orthorhombic system P2₁2₁2₁, and at 213 K:a=5.054(1),b= 10.000(2),c=32.707(1) Å,V=1652.9(4) ų,Z=4,R(F)=0.040, andR _w (F)=0.037. The finding of the (2S)-configuration for the formamido-acid portion of the (+)-ester enabled the configurational assignment of the asymmetric hydrogenation products ofZ-methyl 2-formamido-4, 4,4-trifluoro-2-butenoate catalyzed by chiral diphosphine/rhodium(I) complexes.     

Photoionization of oriented molecules in a gas phase

Use of a coincidence technique for registration of fragment ions and photoelectroms from dissociative ionization of molecules opens the possibility of studying the photoionization of oriented molecules in a gas phase. The first results obtained by this technique for O₂ molecules are presented. The angular distribution of photoelectrons as a function of an angle between molecular axis and a photoelectron momentum is measured for theB ² _g ^– final ionic state using the HeI resonance radiation. From measured data it follows that the ratio of channel cross sections is /=0.67±0.08.     

Stereochemistry of planarchiral compounds,part XIII: Crystal structure of Meso-10,10′-dibromo-2,2′-bi-(1,6-methano-[10]-annulenyl)

Summary Crystallization of the mesoform of the title compound1 from benzene-pentane in the presence of 5% of (+)(R) _p (S) _a (R) _p -1 afforded crystals, the structure of which was determined in the achiral spacegroup P2₁/a-C _2h ⁵ . The configuration (R) _p (S) _p was confirmed, the torsional angle around the 2,2-bond is 68.6° and 72.1° (C3-C2-C2-C3 and C1-C2-C2-C1, resp.). The twist of the best planes through the perimeter carbonatoms 3, 4, 5 and 7, 8, 9 (3, 4, etc., resp.) is 26.0° and 19.8°. The colours of the crystals of the stereoisomers of1 depend on the torsional angles and thereby on the conjugation of the -systems. Meso, monoclinic (70.3°): light yellow; racemate, opt. inactive (56.2°): yellow; enantiomer of the racemate (34.4°): orange (average -values).

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Stereochemie planarchiraler Verbindungen, 13. Mitt.: Die Kristallstruktur von Meso-10,10-dibrom-2,2-bi-(1,6-methano-[10]-annulenyl)

Zusammenfassung Kristallisation der Meso-Form der Titelverbindung1 aus Benzol-Pentan in Gegenwart von 5% (+)(R) _p (S) _a (R) _p -1 lieferte Kristalle, deren Struktur in der achiralen Raumgruppe P2₁/a-C _2h ⁵ bestimmt werden konnte: Die Konfiguration (R) _p (S) _p wurde bestätigt, der Torsionswinkel um die 2,2-Bindung beträgt 68.6 bzw. 72.1° (C3-C2-C2-C3 bzw. C1-C2-C2-C1). Die Verkippung der besten Ebenen, definiert durch die Perimeter-C-Atome 3, 4, 5 und 7, 8, 9 (bzw. 3, 4, etc.) beträgt 26.0 bzw. 19.8°. Die Farben der Kristalle der Stereoisomere von1 hängen von den Torsionswinkeln und damit von der Konjugation der -Systeme ab: Meso, monoklin (70.3°): hellgelb; Racemat, opt. inaktiv (56.2°): gelb: Enantiomer des Racemates (34.4°): orange (gemittelte Werte).

     

Vibrational isotope effect of linear and planar molecules: Deuterated bromoethenes

Linear (planar) molecules A and B which are identical except for isotopic substitutions at the atomic sites are considered. Stretching (bending, out-of-plane) frequencies _k and normal modes _k of the isotopically perturbed molecule B are expressed in terms of stretching (bending, out-of-plane) frequencies _i and the corresponding normal modes _i of the unperturbed molecule A. Complete specification of the unperturbed normal modes is not required. All that is needed are stretching (bending, out-of-plane) amplitudes | _i of the normal modes _i at those sites that are affected by isotopic substitution. The rule which interlaces frequencies _k of molecule A with frequencies _i of molecule B is derived. Given two isotopic molecules A and B that differ by a single isotopic substitution at site , the inversion relation is derived. This relation expresses unperturbed stretching (bending, out-of-plane) amplitudes at the site in terms of stretching (bending, out-of-plane) frequencies of molecules A and B . As an example, out-of-plane vibrations of deuterated bromoethene were considered. In the simplest method 12 out-of-plane frequencies of four polydeuterated bromoethenes were calculated from 12 out-of-plane frequencies of bromoethene and three monodeuterated bromoethenes. Standard deviation of thus calculated frequencies from experimental frequencies is =2.74 cm^–1. In another method, 15 out-of-plane frequencies of four polydeuterated bromoethenes and selected monodeuterated bromoethene are calculated from 9 out-of-plane frequencies of bromoethene and the remaining two monodeuterated bromoethenes. Depending on which monodeuterated bromoethene is selected (1-, cis- or trans-), standard deviation of thus obtained frequencies from experimental frequencies is 1=2.84 cm^–1, c=2.96 cm^–1 and t=2.72 cm^–1.     

Unambiguous Determination of the Absolute Configurations of Acetylene Alcohols by Combination of the Sonogashira Reaction and the CD Exciton Chirality Method – Exciton Coupling between Phenylacetylene and Benzoate Chromophores

The CD exciton chirality method was applied to various phenylacetylene alcohols to determine their absolute configurations; the long axis polarized –^* transition (_max=252nm) of the 4-methoxyphenylacetylene chromophore couples with the transition (_max=257nm) of the 4-methoxybenzoate group to generate intense exciton split CD Cotton effects, from the signs of which the absolute configurations of phenylacetylene alcohols were unambiguously determined. As an extension of the results, a new methodology for determining the absolute configurations of acetylene alcohols having the HCCCH(OH)-moiety by combination of the Sonogashira reaction and the CD exciton chirality method has been developed and applied. Since the –^* transition of acetylene triple bond is located below 180nm, it is difficult to observe ideal bisignate CD Cotton effects due to the exciton coupling between acetylene and benzoate chromophores. To observe the ideal exciton split Cotton effects necessary for the unambiguous determination of absolute configuration, the terminal acetylene group was converted, by the Sonogashira reaction, to the 4-methoxyphenylacetylene moiety, which exhibits an intense –^* absorption band polarized along the long axis of the chromophore at 252nm. As a partner of exciton coupling, 4-methoxybenzoate showing a –^* band at 257nm was introduced into the alcohol moiety, and the benzoates formed showed intense bisignate CD Cotton effects, from the signs of which the absolute configurations of original acetylene alcohols could be determined in an unambiguous manner.     

Prediction of the non-Newtonian viscosity and shear stability of polymer solutions

The structure-property relationships derived here permit the prediction of both the zero-shear viscosity ₀, as well as the shear rate dependent viscosity . Using this molecular modeling it is now possible to predict over the whole concentration range, independently of the molecular weight, polymer concentration and imposed shear rate. However, the widely accepted concept: dilute — concentrated, is insufficient. Moreover it is necessary to take five distinct states of solution into account if the viscous behavior of polymeric liquids is to be described satisfactorily. For non-homogeneous, semi-dilute (moderately concentrated) solutions the slope in the linear region of the flow curve (= must be standardized against the overlap parameterc · []. As with the ₀-M-c-relationship, a-M -c- relationship can now be formulated for the complete range of concentration and molecular weight. Furthermore, it is possible to predict the onset of shear induced degradation of polymeric liquids subjected to a laminar velocity field on the basis of molecular modeling. These theoretically obtained results lead to the previously made ad hoc conclusion (Kulicke, Porter [32]) that, experimentally, it is not possible to detect the second Newtonian region.Roman and Italian symbols a exponent of the Mark-Houwink relationship - b exponent of the third term of the ₀-M -c relationship - c concentration /g · cm^–3 - E number of entanglements per molecule - F(r) connector tension - f function - G _i ^A shear modulus; A indicates that it /Pa has been evaluated by a transient shear flow experiment; i is the shear rate to whichG ^A refers to - G storage modulus /Pa - G _p plateau modulus /Pa - H() relaxation spectrum /Pa - h shift factor (₀/_r) - K _H Huggins constant - K _b third constant of the ₀-M -c relationship - K constant of the Mark-Houwink relationship - M molecular weight /g · mol^–1 - M _e molecular weight between two /g · mol^–1 entanglement couplings - N number of segments per molecule - n slope in the power-law region of the flow curve - p p-th mode of the relaxation time spectrum - R gas constant /8.314 J·K^–1·mol^–1 - r direction vector - T temperature /K Greek symbols ß reduced shear rate - shear rate /s^–1 - shear viscosity /Pa·s - _s solvent viscosity /Pa·s - _sp specific viscosity - ₀ zero-shear viscosity /Pa·s - apparent viscosity at shear rate - reduced viscosity - viscosity of polymeric liquid in /Pa·s the second Newtonian region - [] intrinsic viscosity/cm³·g^–1 - screening length/m - /g·cm ^–3 density - relaxation time/s - ₀ experimentally derived relaxation time/s - angular frequency of oscillation Indices conc concentrated - corr slope corrected - cr critical - deg degradation - e entanglement - exp experimental - mod moderately concentrated/semi-dilute - n number average - p polymer - R Rouse - rep reptation - s solvent - sp specific - theo theoretical - weight average - relaxation time - o experimental or steady state - * critical - ** transition moderately conc. — conc. - + transition dilute — moderately cone. Paper presented at the 2nd bilateral U.S.-West German Polymer Symposium, Yountville, the 7th–11th September 1987.     

Correlation between solvent-reorganization dynamics and the kinetics of metallotropy in polar media

The kinetics of metallotropy of the 3,6-di-tert-butyl-2-(triphenylstannyl)oxyphenoxyl radical has been studied by ESR. The correlation between chemical exchange time _ex, solvent polarity, and longitudinal relaxation time of the solvent corresponds to the model of a process controlled by molecular dynamics. A linear relation between _ex and correlation time _c for reorientation movements of the radical is found: _ex = · _c. The coefficient depends on the dielectric properties of the solvent.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 3, pp. 410–413, March, 1994.This work was supported by the Russian Foundation for Basic Research, project No. 93-03-4372.     

Temperature deactivation of excited Tb3+ in the presence of 1,2-dioxetane in acetonitrile

Quenching the fluorescence (FL) of terbium perchlorate by 2,2-adamantane-2,2-dioxide (1) was shown to have a chemical character and was caused by the formation of the [1...Tb³⁺] complex. The dependence of the lifetime () of FL of Tb^*3+ in acetonitrile on the temperature and concentration of1 has been studied. The temperature dependence of is caused by a rearrangement of the inner sphere of the aquasolvate complexes of Tb³⁺, which leads to the replacement of H₂O with MeCN and1. The energy of replacing the H₂O molecule in the inner sphere of complexes with a solvent molecule has been calculated.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 10, pp. 1762–1766, October, 1994.