Die Fehlordnung des Natriumazides und deren Einfluß auf die thermische Zersetzung, 5. Mitt.: Primärprozesse der thermischen Zersetzung von Natriumazid

Zusammenfassung Elektronische Zustände des Natriumazides werden durch ein Energiebandmodell charakterisiert, dem mittlere spektroskopische Eigenschaften zugrunde liegen. Unter Verwendung von UV-Absorptionsspektren sowie der in der 2. Mitt. ber. Polarisationsund Gitterenergie kann mit Hilfe eines Kreisprozesses das Bandmodell vervollständigt werden. Ein Vergleich mit den elektronischen Daten der Natriumhalogenide ergibt, daß sich das NaN₃, wenn man von den feinstrukturellen Eigenschaften, die zur Zersetzung führen, absieht, natriumhalogenidähnlich verhält. Weiters werden Studien über elektronische Primärprozesse bei der thermischen Zersetzung mitgeteilt. Als geschwindigkeitsbestimmender Primärschritt wird ein Elektronentransfer von Azid-Ionen zu Elektronenfallen angenommen. Wie eine quantenmechanische Betrachtung gestörter Gitterpotentiale zeigt, ergeben kationische Fremdionen, anionische Leerstellen und Oberflächen Elektronenfallen, während kationische Leerstellen und anionische Fremdionen Streustellen für Elektronen und Excitonen darstellen. Auf der Basis eines Störzentrengases kann eine Geschwindigkeitsgleichung für den Primärschritt abgeleitet werden, die qualitativ durch Umsatz/Zeit-Kurven belegt wird. Diese wurden durch Registrierung der bei der Zersetzung entstehenden Stickstoff-Druck-Zunahme gewonnen. Durch Zersetzung von NaN₃-Präparaten mit verschiedenen Gitterfehlern wird gezeigt, daß mit steigendem Einbau von kationischen Fremdionen, anionischen Leerstellen sowie einer Vergrößerung der Oberfläche die autokatalytische Zersetzung beschleunigt und mit steigendem Einbau von anionische Fremdionen die Reaktion verzögert wird. In der Sprache der Festkörperchemie entspricht dies einer Variation der Keimbildungsperiode.

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Electronic states of sodium azide are characterized by an energy band model, based on mean spectroscopic properties. Using UV-absorption-spectra and the calculated polarization and lattice energies (see paper 2) the band model can be completed by means of a cyclic process. A comparison with the electronic data of sodium halogenides shows that sodium azide behaves similar neglecting the microstructural properties leading to the decomposition. Moreover, studies on electronic primary processes during thermal decompositions are reported on. An electron transfer from azide ions to electron traps is assumed to be a rate determining step. As shown by a quantum mechanical consideration of disturbed lattice potentials cationic impurities, anionic vacancies and surfaces give rise to electron traps, whereas cationic vacancies and anionic impurities represent defraction centers for electrons and excitons. Based on imperfections behaving like a gas a rate equation for the primary step can be derived, which is proved qualitatively by pressure/timecurves. By decomposing samples of sodium azides with various lattice defects it is shown that with increasing amounts of cationic impurities, anionic vacancies and an increase of the surface, the autocatalytic decomposition is accelerated, whereas with increasing amount of anionic impurities the reaction is slowed down. In decomposition chemistry this corresponds to a variation of the nucleiation period.

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Growth and characterization of Si/Sb superlattices

Summary Artificial Si_m/Sb₁ superlattices (m=15, 30, 60) were grown by molecular beam epitaxy at very low temperatures (200°C). Rutherford backscattering spectroscopy revealed the superlattices to be single crystalline with min values of less than 0.04. X-ray diffraction clearly showed the superlattice structure. However, residual surface segregation still activated at the low temperatures employed leads to a spread out of Sb atoms into the subsequently grown Si interspacing layers to an extent of about 2 nm.     

Die Fehlordnung des Natriumazides und deren Einfluß auf die thermische Zersetzung, 4. Mitt.: Über die Programmierung von Zersetzungsreaktionen mit Hilfe von Korngrößenverteilungen

It is shown that in the case of thermal decomposition of sodium azide the overall kinetics can be predicted by defined particle size of the decomposed sodium azide crystals. This is always the case if the rate constant is a function of the particle size. Hence this special example can be generalized for similar decomposition reactions. It is necessary that the particles decompose independently which could be proved experimentally with sodium azide. If for this reason we state for true that the pressure/time-function of each particle size add together it is possible to set up a formula for the pressure/time-function of any particle size distribution. With the pressure/time function holding for sodium azide of uniform particle size, the total function for a Gauß distribution can be calculated exactly. Moreover, the trivial case of one single particle size and the case of two different particle sizes are discussed. Furthermore an approximation method for any arbitrary pressure/time-functions and distribution by means of “Schwerpunktdeutung” are discussed which can be carried out graphically as well as numerically. The numerical approximation is illustrated by an example. Pressure/time-functions then loose their characteristic form because of their dependence on the particle size distributions under consideration. In this case, reaction mechanism cannot be derived from pressure/time functions.     

The Reactivity of Cr‐Te Superlattice Reactants and of Co‐deposited Cr‐Te Films: Studies with in‐situ X‐ray Diffractometry

The reactivity of a Cr‐Te multilayer film consisting of 326 Cr/Te double‐layers with about 88(3) at% Te was investigated with in‐situ X‐ray diffraction. The occurrence of a superstructure reflection caused by the multilayer system is observed. During the annealing procedure between 80 and 90 °C the layer‐by‐layer arrangement is destroyed and elemental Te crystallizes. After 6 h isothermal annealing at 140 °C CrTe₃ starts to crystallize. The amount and the crystal size of CrTe₃ increase with raising temperature and Te is consumed during the growth process. At 220 °C the formation of crystalline Cr₂Te₃ is observed and between 220 and 260 °C CrTe₃ is completely decomposed into Cr₂Te₃. The two Cr tellurides grow as highly textured materials. The size of CrTe₃ crystals is significantly larger than that of Cr₂Te₃. For a co‐deposited Cr‐Te film with composition 77(3) at% Te the tri‐telluride and elemental Te crystallize simultaneously. The texture of CrTe₃ is less pronounced and different reflections of the tri‐telluride occur besides the (h00)‐reflections. Up to 160 °C a pronounced increase of the crystallite size is observed and the crystals are significantly larger than those obtained with the multifilm sample. At 130 °C the crystallization kinetics seem to be controlled by nucleation.     

Die Fehlordnung des Natriumazides und deren Einfluß auf die thermische Zersetzung, 2. Mitt.: Berechnung der Polarisationsenergie für den Ausbau eines Ionenpaares aus Natriumazid

Zusammenfassung Zur Berechnung der Polarisationsenergie nach dem Konzept eines starren Gitters wird zuerst die Polarisierbarkeit des N₃ ^– in NaN₃ berechnet. Mit den bekannten Daten für die Brechungsindizes in den Hauptachsen kann nach einer Methode vonMott der erforderliche Polarisierbarkeitstensor aufgestellt werden. Um Argumente für die Berechtigung des Verfahrens zu erhalten, wird die Polarisierbarkeit des Chlorions in NaCl analog berechnet. Unter Zugrundelegung der vonPauling gegebenen Strukturdaten des NaN₃ wird dann die Polarisationsenergie mit Hilfe verallgemeinerter Grundlagen für den Ausbau eines Ionenpaares aus NaN₃ und NaCl berechnet, während Dipol—Dipol-Wechselwirkungen abgeschätzt werden. Vernachlässigt man den Beitrag der Verschiebungspolarisation, so erhält man für die gesamte Polarisationsenergie bei NaN₃ 3,4 eV und bei NaCl 4,2 eV, wasSchottky-Fehlordnung vermuten läßt. Der Zusammenhang mit der Fehlerbildungsenergie wird im Anschluß daran diskutiert.

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For the determination of the polarization energy based upon the model of a rigid lattice, the polarizability of the azide ion in sodium azide is calculated. WithMott's method and the known data for the refractive indices along the main directions the polarizability tensor can be constructed. An analogous calculation is performed for the polarizability of the chlorine ion in NaCl in order to test arguments of our method. WithPauling's data of the NaN₃ structure, the polarization energy for the removal of an ion pair from both NaN₃ and NaCl is calculated by means of a generalized basis estimating dipole—dipole interactions. Neglecting the displacement polarization, one obtains for the total polarization energy a value of 3,4 eV for NaN₃, and 4,2 eV for NaCl, resp., pointing atSchottky-disorder. The connection with the energy of defect formation is discussed hereupon.

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Cotangent functors of curve singularities

Let R be a complete analytic k-algebra of dimension one, where k is a field of characteristic 0. For a Noetherian normalization , the cotangent functors T_i(R/A, R) are of finite length. It is shown that if R is smoothable, then for all j, where denotes the complementary module. This result is used to give estimates for the length of the torsion of the module of differentials _R/k.     

Quantification of hydroxylic groups in a river humic substance by 29Si-NMR

Quantification of the hydroxylic functions of carboxylic, phenolic and alcoholic groups in a selected river humic substance (Ruhr/Germany) is performed by methylation/silylation and (29)Si-NMR analysis. The well known methylation/silylation procedure of Thorn et al. is modified by carrying out the diazomethane methylation in the presence of the proton catalyst p-toluene sulphonic acid. Additional experiments by both (13)C-NMR-spectroscopy and potentiometric acid-base titration confirm the results obtained by (29)Si-NMR.     

Methylcellulose/SiO<Subscript>2</Subscript> hybrids: sol-gel preparation and characterization by XRD,FTIR and AFM

Methylcellulose (MC) / SiO₂ organic / inorganic hybrid materials have been prepared from MC and methyltriethoxysilane or ethyltrimethoxysilane, and characterized by XRD, FTIR and AFM. XRD showed peak shifts. FTIR shows intermolecular hydrogen bonding between MC and SiO₂. AFM depicts surface roughness which depends on the silica precursor and MC content.      

Synthesis,structure and characterization of [Mg7(μ3-OCH2CH2OMe)6(μ-OCH2CH2OMe)6][Al(n-Bu)4]2 – A cationic heptanuclear magnesium complex consisting of discrete cations and tetrabutylaluminate anions

Dibutylmagnesium (contaminated with Al(n-Bu)₃; n_Mg:n_Al ca. 1:0.2) was found to react with MeOCH₂CH₂OH followed by the addition of PhSCH(Me)Ph in the presence of 0.2 equiv n-butyllithium yielding [Mg₇(μ₃-OCH₂CH₂OMe)₆(μ-OCH₂CH₂OMe)₆][Al(n-Bu)₄]₂ (1) as the principal product (yield 40–45% referred to MeOCH₂CH₂OH). The single-crystal X-ray diffraction analysis revealed that the centrosymmetric cationic heptamagnesium complex is built up from seven edge-shared MgO₆ octahedra. The [Al(n-Bu)₄]⁻ anions adopt approximately a tetrahedral AlC₄ symmetry. ¹H, ¹³C and ²⁷Al NMR spectroscopic measurements showed that in THF solution the structures both of the heptamagnesium complex and the tetrabutylaluminate anion are preserved and that there are no cation–anion interactions reducing the symmetry. The ²⁷Al resonance (151.6 ppm) was found to be very sharp (w_1/2 = 5 Hz), the coupling constant ¹J(²⁷Al,¹³C) amounts to 72.3 Hz.