Efficiency of extrinsic and intrinsic charge-carrier photogeneration processes obtained from the steady-state photocurrent action spectra of poly(p-phenylene vinylene) derivatives

The efficiency of the charge-carrier photogeneration processes in poly(2,5-bis(3',7'-dimethyl-octyloxy)-1,4-phenylene vinylene) (OC(1)OC10-PPV) has been analyzed by the spectral response of the photocurrent of devices in ITO/polymer/Al structures. The symbatic response of the photocurrent action spectra of the OC1OC10-PPV devices, obtained for light-excitation through the ITO electrode and for forward bias, has been fitted using a phenomenological model which considers that the predominant transport mechanism under external applied electric field is the drift of photogenerated charge-carriers, neglecting charge-carrier diffusion. The proposed model takes into account that charge-carrier photogeneration occurs via intermediate stages of bounded pairs (excitonic states), followed by dissociation processes. Such processes result in two different contributions to the photoconductivity: The first one, associated to direct creation of unbound polaron pairs due to intrinsic photoionization; and the second one is associated to secondary processes like extrinsic photoinjection at the metallic electrodes. The results obtained from the model have shown that the intrinsic component of the photoconductivity at higher excitation energies has a considerably higher efficiency than the extrinsic one, suggesting a dependence on the photon energy for the efficiency of the photogeneration process.

Photoconduction action spectra of regio-regular poly(3-hexylthiopene):TiO2 diodes

The development of polymer-based photovoltaic devices brings the promise of low-cost and lightweight solar energy conversion systems. This technology requires new materials and device architectures with enhanced efficiency and lifetime, which depends on the understanding of charge-transport mechanisms. Organic films combined with electronegative nanoparticles may form systems with efficient dissociation of the photogenerated excitons, thus increasing the number of carriers to be collected by the electrodes. In this paper we investigate the steady-state photoconductive action spectra of devices formed by a bilayer of regio-regular poly(3-hexylthiophene) (RRP3HT) and TiO2 sandwiched between ITO and aluminum electrodes (ITO/TiO2:RRP3HT/Al). Photocurrents were measured for distinct bias voltages with illumination from either side of the device. Heterojunction structures were prepared by spin coating a RRP3HT film on an already deposited TiO2 layer on ITO. Symbatic and antibatic curves were obtained and a model for photocurrent action spectra was able to fit the symbatic responses. The quantum yield increased with the electric field, indicating that exciton dissociation is a field-assisted process as in an Onsager mechanism. Furthermore, the quantum yield was significantly higher when illumination was carried out through the ITO electrode onto which the TiO2 layer was deposited, as the highly electronegative TiO2 nanoparticles were efficient in exciton dissociation.

Self-assembled films from chitosan and poly(vinyl sulfonic acid) on Nafion® for direct methanol fuel cell

Chitosan/poly(vinyl sulfonic acid) (PVS) films have been prepared on Nafion® membranes by the layer-by-layer (LbL) method for use in direct methanol fuel cell (DMFC). Computational methods and Fourier transform infrared (FTIR) spectra suggest that an ionic pair is formed between the sulfonic group of PVS and the protonated amine group of chitosan, thereby promoting the growth of LbL films on the Nafion® membrane as well as partial blocking of methanol. Chronopotentiometry and potential linear scanning experiments have been carried out for investigation of methanol crossover through the Nafion® and chitosan/PVS/Nafion® membranes in a diaphragm diffusion cell. On the basis of electrical impedance measurements, the values of proton resistance of the Nafion® and chitosan/PVS/Nafion® membranes are close due to the small thickness of the LbL film. Thus, it is expected an improved DMFC performance once the additional resistance of the self-assembled film is negligible compared to the result associated with the decrease in the crossover effect.

Chain extension of poly (ethylene terephthalate) by reactive extrusion with secondary stabilizer

Poly(ethylene tereftalate) (PET) is a polymer highly susceptible to the hydrolytic reactions that occur during applications and mainly in thermomechanical processing. These reactions lead to the decrease of molecular weight of the polymer, limiting the recycling number of the material. The reactive extrusion of the PET in presence of chain extenders is an alternative to recover mechanical and rheological properties that were depreciated by the polymer degradation. In this study, PET wastes from nonwoven fabrics production were extruded in presence of the secondary stabilizer Irgafos 126 (IRG) on variable concentrations. The results showed that Irgafos 126 increased molecular weight, decreased crystallinity and changed processing behavior of the PET, similarly to the effects produced by the well-known chain extender pyromellitic dianhydride (PMDA), showing that the secondary stabilizer Irgafos 126 can also act as a chain extender for the PET.

Effect of Prior Photodegradation on the Biodegradation of Polypropylene/Poly(3-hydroxybutyrate) Blends

In this work, the effect of blend composition and previous photodegradation on the biodegradation of polypropylene/ poly(3-hydroxybutyrate) (PP/PHB) blends was studied. The individual polymers and blends with or without the addition of poly(ethylene-co-methyl acrylate- co-glycidyl methacrylate) [P(E-MA-GMA)] as a compatibilizer (in the case of 80/20 blend) were exposed to UV light for 4 weeks and their biodegradation was evaluated. The biodegradation of PHB phase within the blends was hindered as PHB was the dispersed phase and PP fibrous particles were observed at the surface of the blend samples after biodegradation. Previous photodegradation lessened PHB biodegradation but enhanced the biodegradation of PP and the blends within the biodegradation time studied. Photodegradation resulted in cracks at the surface of PP and the blends, which probably facilitated the biotic reactions due to an easier access of the enzymes to deeper polymer layers. It also resulted in a decrease of molecular weight of PP phase and formation of carbonyl and hydroxyl groups which were consumed during biodegradation. Size exclusion chromatography analysis revealed that only the short chains of PP were consumed during biodegradation.

Properties of a new poly-ether-glycol copolymer.

Triblock copolymers are made of monomer segments, being the central part usually hydrophobic and the outer parts hydrophilic. By varying sizes, molecular weights and monomer types of the segments one obtains different final molecules, with different physico-chemical properties, which are directly related to the performance of the final product. Looking for new products to be used, among other possibilities, in biological applications, a new polymer (Figure 1) was synthesized by the Dow Chemical and studied by Size Exclusion Chromatography, Fourier Transformed Infrared Spectrometry, Small-angle X-ray Scattering (SAXS) and its cloud point was determined by measuring light transmittance. The studies showed low molecular polydispersivety, but different polarities in the macromolecules fractions. Due to the low solubility of Diol in water, a mixture of water/butyl diglycol was used as solvent. An extensive analysis by SAXS was performed for concentrations from 50 wt% to 80 wt% of Diol in solution. Small concentrations showed very low signal to noise ratio, making it impossible to be analysed. The scattering intensity including the form factor of polydisperse non-homogeneous spheres, and the structure factor of interacting hard spheres was fitted to the curves. As the polymer concentration is high, the fitting of form factors of direct and reverse micelles were compared. The results for direct micelles were better up to 80 wt%, whereas at 90 wt% and 95 wt% the curves were better fitted by reverse micelles. It might seem odd that direct micelles are present up to such high concentrations, but it might have been caused by the presence of butyl diglycol, which increases the solubility of Diol in water. The inner and outer radius of the micelles, electron density distribution, and interaction radius of the micelles were obtained. The polydispersivety increases with Diol concentration. Besides, the interaction radius increases with solvent concentration, even when reversed micelles are present. In the last case, accompanied by an increase of inner radius (water content), as there are fewer Diol molecules to involve the water nuclei, which become larger, further apart, and in less number.

Determination of degree of ionization of poly(allylamine hydrochloride) (PAH) and poly[1-[4-(3-carboxy‑4 hydroxyphenylazo)benzene sulfonamido]-1,2-ethanediyl, sodium salt] (PAZO) in layer-by-layer films using vacuum photoabsorption spectroscopy

Electrostatic and hydrophobic interactions govern most of the properties of supramolecular systems, which is the reason determining the degree of ionization of macromolecules has become crucial for many applications. In this paper, we show that highresolution ultraviolet spectroscopy (VUV) can be used to determine the degree of ionization and its effect on the electronic excitation energies of layer-by-layer (LbL) films of poly(allylamine hydrochloride) (PAH) and poly[1-[4-(3-carboxy-4 hydroxyphenylazo)- benzene sulfonamido]-1,2-ethanediyl, sodium salt] (PAZO). A full assignment of the VUV peaks of these polyelectrolytes in solution and in cast or LbL films could be made, with their pH dependence allowing us to determine the p'K IND. a' using the Henderson-Hasselbach equation. The p'K IND. a' for PAZO increased from ca. 6 in solution to ca. 7.3 in LbL films owing to the charge transfer from PAH. Significantly, even using solutions at a fixed pH for PAH, the amount adsorbed on the LbL films still varied with the pH of the PAZO solutions due to these molecular-level interactions. Therefore, the procedure based on a comparison of VUV spectra from solutions and films obtained under distinct conditions is useful to determine the degree of dissociation of macromolecules, in addition to permitting interrogation of interface effects in multilayer films.

Theoretical and experimental studies on the electronic, optical, and structural properties of poly-pyrrole-2-carboxylic acid films

A theoretical approach is used here to explain experimental results obtained from the electrosynthesis of polypyrrole-2-carboxylic acid (PPY-2-COOH) films in nonaqueous medium. An analysis of the Fukui function (reactivity index) indicates that the monomer (pyrrole-2-carboxylic acid, PY-2-COOH), and dimers and trimers are oxidized in the C4 or C5 positions of the heterocyclic ring of the PY-2-COOH structure. After calculating the heat of formation using semiempirical Austin Model 1 post-Hartree-Fock parameterization for dimer species, both C4 and C5 positions adjacent to the aromatic rings of PPY-2-COOH were considered the most susceptible ones to oxidative coupling reactions. The ZINDO-S/CI semiempirical method was used to simulate the electronic transitions typically seen in the UV-VIS-NIR range in monomer and oligomers with different conjugation lengths. The use of an electrochemical quartz crystal microbalance provides sufficient information to propose a polymerization mechanism of PY-2-COOH based on molecular modeling and experimental results.

Molecular dynamics of poly(Ethylene Glycol) intercalated in clay, studied using 13C solid-state NMR

In this study, Cross-Polarization Magic-angle Spinning CP/MAS, 2D Exchange, Centerband-Only Detection of Exchange (CODEX), and Separated-Local-Field (SLF) NMR experiments were used to study the molecular dynamics of poly(ethylene glycol) (PEG) inside Hectorite/PEG intercalation compounds in both single- and double-layer configurations. The results revealed that the overall amplitude of the motions of the PEG chain in the single-layer configuration is considerably smaller than that observed for the double-layer intercalation compound. This result indicates that the effect of having the polymer chain interacting with both clay platelets is to produce a substantial decrease in the motional amplitudes of those chains. The presence of these dynamically restricted segments might be explained by the presence of anchoring points between the clay platelets and the PEG oxygen atoms, which was induced by the Na+ cations. By comparing the PEG motional amplitudes of the double-layered nanocomposites composed of polymers with different molecular weights, a decrease in the motional amplitude for the smaller PEG chain was observed, which might also be understood using the presence of anchoring points.

Effect of a polymeric protective coating on optical and electrical properties of poly (p-phenylene vinylene) derivatives

The resistance to photodegradation of poly [(2-methoxy-5-n-hexyloxy)-p-phenylene vinylene] (OC1OC6-PPV) films was significantly enhanced by the use of poly(vinyl alcohol) 99% hydrolyzed as protective coating. The deposition of poly(vinyl alcohol) onto OC1OC6-PPV films did not affect the absorption and the emission spectra of the luminescent polymer. The protected film showed 5% drop on the absorbance at 500nm after 270 hours of light exposure while the unprotected film completely degraded in the same conditions. The conductivity of the protected film remained stable (around 7 × 10-10 S/m) while the value for the unprotected one dropped around two orders of magnitude after 100 hours of light exposure.

Studi funzionali e strutturali sul wildtype e sul mutante γM23-K della ATP sintasi di Rhodobacter capsulatus: ruolo dell'ADP e della forza protonmotiva nell'attivazione dell’enzima e nell'accoppiamento dell'idrolisi di ATP alla traslocazione protonica

Nel presente lavoro di tesi sono state messe a confronto le ATP sintasi wild-type e γM23-K in cromatofori del batterio fotosintetico Rhodobacter capsulatus sotto gli aspetti funzionale e regolatorio. Si pensava inizialmente che la mutazione, in base a studi riportati in letteratura condotti sull’omologa mutazione in E. coli, avrebbe indotto disaccoppiamento intrinseco nell’enzima. Il presente lavoro ha chiarito che il principale effetto della mutazione è un significativo aumento dell’affinità dell’enzima per l’ADP inibitorio, che ne determina il ridotto livello di ATP idrolisi e la rapidissima reinattivazione in seguito ad attivazione da forza protonmotiva. Il residuo 23 della subunità γ si trova posizionato in prossimità della regione conservata DEELSED carica negativamente della subunità β, e l’introduzione nel mutante di una ulteriore carica positiva potrebbe determinare una maggiore richiesta di energia per indurre l’apertura del sito catalitico. Un’analisi quantitativa dei dati di proton pumping condotta mediante inibizione parziale dell’idrolisi del wildtype ha inoltre mostrato come il grado di accoppiamento del mutante in condizioni standard non differisca sostanzialmente da quello del wild-type. D’altro canto, è stato recentemente osservato come un disaccoppiamento intrinseco possa venire osservato in condizioni opportune anche nel wild-type, e cioè a basse concentrazioni di ADP e Pi. Nel presente lavoro di tesi si è dimostrato come nel mutante l’osservazione del fenomeno del disaccoppiamento intrinseco sia facilitata rispetto al wild-type. È stato proprio nell’ambito delle misure condotte sul mutante che è stato possibile dimostrare per la prima volta il ruolo fondamentale della componente elettrica della forza protonmotiva nel mantenere lo stato enzimatico ad elevato accoppiamento. Tale ruolo è stato successivamente messo in luce anche nel wild-type, in parte anche grazie all’uso di inibitori specifici di F1 e di FO. Il disaccoppiamento intrinseco nel wild-type è stato ulteriormente esaminato anche nella sua dipendenza dalla rimozione di ADP e Pi; in particolare, oltre all’amina fluorescente ACMA, è stata utilizzata come sonda di ΔpH anche la 9-aminoacridina e come sonda di Δψ l’Oxonolo VI. In entrambi i casi il ruolo accoppiante di questi due ligandi è stato confermato, inoltre utilizzando la 9-aminoacridina è stato possibile calibrare il segnale di fluorescenza con salti acido-base, dando quindi una base quantitativa ai dati ottenuti. Noi riteniamo che il più probabile candidato strutturale coinvolto in questi cambiamenti di stato enzimatici sia la subunità ε, di cui è noto il coinvolgimento in processi di regolazione e in cambiamenti strutturali indotti da nucleotidi e dalla forza protonmotiva. In collaborazione con il Dipartimento di Chimica Fisica dell’Università di Friburgo è in atto un progetto per studiare i cambiamenti strutturali presumibilmente associati al disaccoppiamento intrinseco tramite FRET in singola molecola di complessi ATP-sintasici marcati con fluorofori sia sulla subunità ε che sulla subunità γ. Nell’ambito di questa tesi sono stati creati a questo fine alcuni doppi mutanti cisteinici ed è stato messo a punto un protocollo per la loro marcatura con sonde fluorescenti.

Oligo- und Poly(indenofluorene) : neue Materialien mit einer kleinen Bandlücke

Die Zielsetzung der Arbeit war die Darstellung von Polyindenofluorenen PIF, einer neuen Klasse konjugierter Polymere, die aus Dihydroindenofluoren-Untereinheiten aufgebaut und formal an den Methylenbrücken über exocyclische Doppelbindungen verknüpft sind.Am Anfang stand die Ausarbeitung eines allgemeinen Synthesekonzeptes zum Aufbau von Polymeren mit sterisch gehinderten Doppelbindungen. Mit der Kupplung von geminalen Dichloriden mit Übergangsmetallverbindungen als Reduktionsmittel wurde eine vielversprechende neue Polyolefinierungsmethode gefunden. Diese Synthesemethode zeichnet sich durch eine einfache Durchführung, synthetisch leicht zugängliche Edukte und neutrale Reaktionsbedingungen aus. Es lassen sich selbst bei gespannten Olefinen sehr gute Ausbeuten erzielen. Drei strukturisomere Dihydroindenofluorene wurden als potentielle Strukturbausteine untersucht, die sich durch die Stellung der Methylenbrücken bezüglich des zentralen Phenylrings unterscheiden. Die resultierenden Polymerstrukturen wurden als para-, meta- und ortho-Poly(indenofluorene) bezeichnet.Das Poly(para-indenofluoren) pPIF wurde als ein hochmolekulares und strukturdefiniertes Polymer erhalten. Die über Molekulargewichtsanalyse (GPC) erhaltenen Polymerisationsgrade ergaben Werte von bis zu 55 Wiederholungseinheiten. Die längstwellige Absorptionsbande von pPIF liegt bei circa 800 nm, was einer Bandlücke von 1.45 eV enspricht. Darüberhinaus zeichnet sich pPIF durch eine hohe chemische Stabilität und sehr hohe Löslichkeit aus. Durch den kleinen Bandabstand ließen sich interessante nichtlineare-optische (NLO) Effekte und eine hohe Photoleitfähigkeit erwarten. Da diese Effekte von materialwissenschaftlichem Interesse sind, wurden detailierte Untersuchungen dieser Eigenschaften vorgenommen. Das Poly(meta-indenofluoren) mPIF konnte mit einem Polymerisationsgrad von circa 13 Wiederholungseinheiten dargestellt werden. Bedingt durch die meta-Verknüpfung, die keine Konjugation über den zentralen Phenylring erlaubt, liegt das Absorptionsmaximum, im Vergleich zu pPIF blauverschoben bei 437 nm.Bei Poly(ortho-indenofluoren) oPIF scheiterten alle Versuche zum Aufbau eines Polymers, was mit den, im Vergleich zu pPIF und mPIF, noch stärker gespannten Doppelbindungen zwischen den Indenofluorenen, sprich Untereinheiten, erklärt werden kann. An strukturdefinierten Modellverbindungen von pPIF konnte gezeigt werden, daß eine Konvergenz der elektronischen Eigenschaften beim Nonamer noch nicht erreicht ist. Bei der Auftragung von 1/n gegen Eabs wird, nach linearer Extrapolation, ein Wert von circa 18 für die effe

Synthese und Charakterisierung von Poly(tert-butylacrylat)- und Polyacrylsäure-Sternpolymeren

Sternpolymere aus Poly(tert.-butylacrylat)-Armen und einem Mikrogel-Core aus Ethylenglykoldimethacrylat wurden nach der arm-first Strategie hergestellt. Diese weisen eine enge Armzahlverteilung auf. Mit sinkender Precursorlänge, mit steigendem Verhältnis [bifunktionelles Monomer]/[Initiator], sowie mit zunehmender Reaktionszeit und Gesamtkonzentration nimmt die mittlere Armzahl fn zu. Die Sternbildung verläuft ähnlich einer Polykondensation. Die Molekulargewichte wurden mittels GPC gekoppelt mit einem online-Viskosimeter und einem online-Vielwinkellichtstreudetektor (MALLS) bestimmt.Die intrinsischen Viskositäten der Sternpolymere sind sehr niedrig. Für Armzahlen f ca. 8 erhält man ein Maximum in der doppellogarithmischen Auftragung der intrinsischen Viskosität und des Molekulargewichts. Die Trägheitsradien nehmen nur wenig mit dem Molekulargewicht zu. Die erhaltenen Koeffizienten liegen im von Daoud und Cotton vorhergesagten Bereich. Die Schrumpfungsfaktoren sinken auf g ca. 0,2 bzw. g' ca. 0,25. Aus den Poly(tert.-butylacrylat)-Sternpolymeren wurden durch Verseifung mit HBr in Methanol Polyacrylsäure-Sternpolymere hergestellt, welche ebenfalls mittels GPC-Viskosimetrie und GPC-MALLS charakterisiert wurden. Für die ionischen Sternpolymere findet man deutlich höhere Schrumpfungsfaktoren, kein Maximum in der intrinsischen Viskosität und höhere Exponenten als von Daoud und Cotton vorhergesagt. Erklärt wurde dies mit der hohen Segmentdichte in Sternpolymeren, die bei den ionischen Sternpolymeren zu einer hohen Ladungsdichte führt. Dadurch müssen sich die Arme stärker strecken als bei nicht-ionischen Sternen und es resultieren größere Moleküldimensionen.

Oberflächenmodifizierungen von Siliciumoxid und Poly(ethylen-stat-norbornen) durch Blockcopolymere und an Plasmaschichten gebundene Homopolymere

In der vorliegenden Arbeit erfolgten Oberflächenmodifizierungen durch Polymere nach zwei Ansätzen. Dies war zum einen ein Ansatz, bei dem die Oberflächen mit Diblockcopolymeren versehen wurden. Diese bestanden aus einem Ankerblock, der starke Wechselwirkungen mit der Oberfläche zeigt, und einem Bojenblock, der gezielte Eigenschaften trägt. Zum anderen erfolgten Modifizierungen durch auf Plasmaschichten verankerte Homopolymere. Beide Ansätze erfolgten auf zwei Substraten von unterschiedlichen Eigenschaften. Diese waren das Siliciumoxid, für das Modifizierungen durch radikalische in-situ Oberflächenpolymerisation, und das Poly(ethylen-stat-norbornen), für das Modifizierungen durch ex-situ dargestellte Polymere gewählt wurden. Beim ersten Ansatz zur Modifizierung der Siliciumoxidoberfläche ermöglichte ein adsorbierter Poly(e-caprolacton)-Makroinitiator die Oberflächenpolymerisation hin zu oberflächenverankertem Poly(e-caprolacton)-block-poly(alkyl(meth)acrylat). Beim zweiten Ansatz erfolgte die Abscheidung von plasmapolymerisiertem Allylamin, die Immobilisierung des Azoinitiators 4,4’-Azobis(4-cyanopentansäurechlorid) und die nachfolgende Oberflächenpolymerisation von Methylmethacrylat oder Styrol. Beim ersten Modifizierungsansatz der Poly(ethylen-stat-norbornen)-Oberfläche sollte diese mit thermisch interdiffundierten Poly(ethylen-alt-propylen)-block-poly(dimethylsiloxan) versehen werden. Trotz erfolgreicher Synthese wurde gezeigt, daß keine Interdiffusion stattfand. Im zweiten Modifizierungsansatz wurde die Oberfläche mit aus einem Hexamethyldisiloxan/Sauerstoff-Plasma abgeschiedenem reinem Siliciumoxid beschichtet, woran sich die Adsorption von Poly(dimethylsiloxan) anschloß. Damit konnten die hohen Haftreibungskräfte gegenüber Halogenbutylgummi erfolgreich beseitigt werden.

Synthese und Struktur-Eigenschafts-Beziehungen von Oligo- und Poly(2,5-dipropoxy-1,4-phenylenethinylen)en

Oligomere mit konjugierten pi-Elektronensystemen sind für die Materialwissenschaften von großer Bedeutung. Die vielfältigen und umfangreichen Forschungen auf diesem Gebiet gründen im Potenzial dieser Substanzklassen, das im Bereich der Laserfarbstoffe, Leuchtdioden, Photoleiter, optische Schalter oder auch der molekularen Elektronik angesiedelt ist. Zu diesen gehören auch die in dieser Arbeit synthetisierten und untersuchten Phenylenethinylene. Die Herstellung der Oligomere erfolgt nach der Methode von Sonogashira und Hagihara. Dabei wird ein Halogenaren mit einer Alkinkomponente zur Reaktion gebracht. Als Katalysator dient dabei ein Gemisch aus Bis(triphenylphosphin-palladiumdichlorid), Kupfer-(I)-iodid und Triphenylphosphin. Verwendung fanden bei der Synthese zwei Arten von Schutzgruppen. Es handelt sich dabei einerseits um die Trimethylsilyl- und die Triisopropylsilyl-Funktion, die unabhängig voneinander in ein System eingeführt werden und selektiv wieder entfernt werden können. Die zweite Art sind die Halogene Brom und Iod, die aufgrund ihrer Eigenschaft vielmehr als 'dormant group' bezeichnet werden müssen. Eine Ethinylierung führt zunächst zur Substitution des Iod- und anschließend des Bromatoms. Die so erhaltenen Oligomere werden mit verschiedenen spektroskopischen Methoden untersucht. Besonderes Interesse liegt dabei auf der Bestimmung der effektiven Konjugationslänge (EKL). Damit ist es möglich, die Länge des konjugierten Systems zu bestimmen, das für die betreffenden Eigenschaften des entsprechenden Polymers maßgeblich ist. Das nichtlineare optische Verhalten der Oligomere wird mittels der Third-Harmonic-Generation-Methode (THG) gemessen. Die resultierende Größe, die Suszeptibilität 3. Ordnung, gibt Aufschluß über mögliche industrielle Anwendungen.