Synthesis and Characterization of Novel Spiro-Starburst-Structures as Blue Light Emitters and Zeolites

Spiro-starburst-structures with symmetric globular structures in forms of first and second generations that readily form stable amorphous glasses have been synthesized and then characterised in this work. During the synthesis of these materials, possibilities of the extension of the chains of the phenyl rings in 2,2’,7 and 7’-positions of the central core of the spirobifluorene as well as the 2’,7 and 7’-positions of the terminal spirobifluorene units of the spiro-starburst-structures have been investigated so that solubilities and morphologies of the compounds are not negatively influenced. Their morphological properties have been explored by recording their decomposition temperature and glass transition temperature. These compounds possessing two perpendicular arrangement of the two molecular halves show high glass transition temperature (Tg), which is one of the most important parameter indicating the stability of the amorphous state of the material for optoelectronic devices like organic light emitting diodes. Within the species of second generation compounds, for example, 4-spiro3 shows the highest Tg (330 °C) and the highest branching degree. When one [4B(SBF)SBF-SBF 84] or two [4SBFSBF-SBF 79] terminal spirobifluorene units are removed, the Tg decreases to 318 °C and 307 °C respectively. Photo absorption and fluorescence spectra and cyclic voltammetry measurements are taken in account to characterize the optoelectronic properties of the compounds. Spiro-starburst-structures emit radiation in the blue region of the visible spectrum. The peak maxima of absorption and emission spectra are observed to be at higher wavelength in the molecules with longer chromophore chains than in the molecules with shorter chromophore chains. Excitation spectra are monitored with their emission peak maxima. The increasing absorbing species in molecule leads to increasing molar extinction coefficient. In the case of 4B(TP)SBF-SBF 53 and 4B(SBF)SBF-SBF 84, the greater values of the molar extinction coefficients (43*104 and 44*104 L mol-1 cm-1 respectively) are the evidences of the presence of four times octiphenyl conjugation rings and eight times terminal fluorene units respectively. The optical properties of solid states of these compounds in the form of thin film indicate that the intermolecular interaction and aggregation of individual molecules in neat amorphous films are effectively hindered by their sterically demanding structures. Accordingly, in solid state, they behave like isolated molecules in highly dilute solution. Cyclic voltammetry measurements of these compounds show electrochemically reversibility and stability. Furthermore, the zeolitic nature (host-guest) of the molecular sieve of the synthesized spiro-starburst-structures has been analysed by thermogravimetric analysis method.

Synthese und Charakterisierung neuer symmetrischer und unsymmetrischer Spiro-p-oligophenyle

In der vorliegenden Arbeit wurden neue symmetrische Spiro-p-oligophenyle der allgemeinen Form Spiro-o-Φ[n,n] mit der Gesamtkettenlänge o=2n+2 Phenylringen (o > 10) und der Zahl n der Phenylringe in den p-Oligophenylsubstituenten am Spirobifluorenkern, dargestellt. Neben den symmetrischen Verbindungen wurden erstmals auch unsymmetrische Spiro-p-oligophenyle der allgemeinen Form Spiro-o-Φ[n,m] mit o=n+m+2 (o = 3-7) und n ≠ m synthetisiert. Aufgrund der sehr geringen Löslichkeit der größeren Verbindungen wurden löslichkeitssteigernde Substituenten an den endständigen Phenylringen angebracht. Bei den Verbindungen, die mit Trimethylsilyl-Gruppen (TMS-) in den endständigen meta-Positionen „3“ und „5“ substituiert wurden, konnte die Löslichkeit um mehrere Größenordnungen gesteigert werden, sodass die Darstellung der symmetrischen Verbindungen bis zu einer Kettenlänge von 16 Phenylringen möglich wurde. Nach erfolgreicher Synthese und Aufreinigung wurden die TMS-Gruppen wieder entfernt und die erhaltenen, unsubstituierten Verbindungen charakterisiert. Zusätzlich wurden auch die TMS-Derivate untersucht. Zur Charakterisierung zählten neben der Reinheits- und Strukturanalytik unter anderem auch spektroskopische (UV/Vis-Absorption, Fluoreszenz, Fluoreszenzquantenausbeute), elektrochemische (Cyclovoltammetrie) und thermische (Thermogravimetrie, Dynamische Differenzkalorimetrie) Untersuchungen. Hier wurde unter anderem der Einfluss der Kettenlänge und der Position der Spiroverknüpfung auf isomere Verbindungen gleicher Kettenlänge untersucht. Bei den spektroskopischen Messungen konnte eine Konvergenz der längstwelligen Absorptionsbanden, bzw. kürzestwelligen Fluoreszenzbanden mit zunehmender Kettenlänge beobachtet werden. Die effektive Konjugationslänge konnte so aus experimentellen Daten bestimmt werden zu 12 Phenylringen in der Absorption und 14 Phenylringen in der Fluoreszenz. Bei den Isomeren gleicher Kettenlänge zeigte sich in der Absorption eine hypsochrome Verschiebung der Absorptionsmaxima mit zunehmender Verschiebung der Spiroverknüpfung zum Kettenende hin, während die Position der Spiroverknüpfung keinen messbaren Einfluss auf die Verschiebung der Fluoreszenzbanden hatte. Die Substitution mit TMS in den meta-Positionen zeigte keinen messbaren Einfluss auf die Absorptions- bzw. Fluoreszenzbanden. Die elektrochemischen Untersuchungen zeigten mit zunehmender Kettenlänge eine erleichterte Oxidation und Reduktion, während bei Isomeren gleicher Kettenlänge die Oxidation mit Verschiebung der Spiroverknüpfung zum Kettenende hin erschwert und die Reduktion erleichtert war. Die thermogravimetrischen Analysen (TGA) zeigten eine außerordentlich hohe thermische Stabilität (5% Massenabnahme unter Schutzgas) der Spiro-p-oligophenyle von Td,5% = 474°C bei Spiro-5Φ[1,2] bis 570°C bei Spiro 8Φ[3,3]. Ebenso blieben hohe Rückstandsmassen unter Schutzgas bei 850°C zurück, wie das Beispiel Spiro 8Φ[3,3] mit 68% zeigt. Die Verbindungen zeigten hohe Schmelzpunkte (max. 496°C bei Spiro-6Φ[0,4]) und Glasübergangstemperaturen (max. 434°C bei p-TMS-Spiro-8Φ[3,3]). Viele der Verbindungen, besonders die in den meta-Positionen TMS-substituierten Verbindungen, bildeten stabile amorphe Gläser.

Root parametrized differential equations

The present thesis is about the inverse problem in differential Galois Theory. Given a differential field, the inverse  problem asks which linear algebraic groups can be realized as differential Galois groups of Picard-Vessiot extensions of this field.   In this thesis we will concentrate on the realization of the classical groups as differential Galois groups. We introduce a method for a very general realization of these groups. This means that we present for the classical groups of Lie rank $l$ explicit linear differential equations where the coefficients are differential polynomials in $l$ differential indeterminates over an algebraically closed field of constants $C$, i.e. our differential ground field is purely differential transcendental over the constants.   For the groups of type $A_l$, $B_l$, $C_l$, $D_l$ and $G_2$ we managed to do these realizations at the same time in terms of Abhyankar's program 'Nice Equations for Nice Groups'. Here the choice of the defining matrix is important. We found out that an educated choice of $l$ negative roots for the parametrization together with the positive simple roots leads to a nice differential equation and at the same time defines a sufficiently general element of the Lie algebra. Unfortunately for the groups of type $F_4$ and $E_6$ the linear differential equations for such elements are of enormous length. Therefore we keep in the case of $F_4$ and $E_6$ the defining matrix differential equation which has also an easy and nice shape.   The basic idea for the realization is the application of an upper and lower bound criterion for the differential Galois group to our parameter equations and to show that both bounds coincide. An upper and lower bound criterion can be found in literature. Here we will only use the upper bound, since for the application of the lower bound criterion an important condition has to be satisfied. If the differential ground field is $C_1$, e.g., $C(z)$ with standard derivation, this condition is automatically satisfied. Since our differential ground field is purely differential transcendental over $C$, we have no information whether this condition holds or not.   The main part of this thesis is the development of an alternative lower bound criterion and its application. We introduce the specialization bound. It states that the differential Galois group of a specialization of the parameter equation is contained in the differential Galois group of the parameter equation. Thus for its application we need a differential equation over $C(z)$ with given differential Galois group. A modification of a result from Mitschi and Singer yields such an equation over $C(z)$ up to differential conjugation, i.e. up to transformation to the required shape. The transformation of their equation to a specialization of our parameter equation is done for each of the above groups in the respective transformation lemma.

Sulfur transfer and activation by ubiquitin-like modifier system Uba4•Urm1 link protein urmylation and tRNA thiolation in yeast

Urm1 is a unique dual-function member of the ubiquitin protein family and conserved from yeast to man. It acts both as a protein modifier in ubiquitin-like urmylation and as a sulfur donor for tRNA thiolation, which in concert with the Elongator pathway forms 5-methoxy-carbonyl-methyl-2-thio (mcm5s2) modified wobble uridines (U34) in anticodons. Using Saccharomyces cerevisiae as a model to study a relationship between these two functions, we examined whether cultivation temperature and sulfur supply previously implicated in the tRNA thiolation branch of the URM1 pathway also contribute to proper urmylation. Monitoring Urm1 conjugation, we found urmylation of the peroxiredoxin Ahp1 is suppressed either at elevated cultivation temperatures or under sulfur starvation. In line with this, mutants with sulfur transfer defects that are linked to enzymes (Tum1, Uba4) required for Urm1 activation by thiocarboxylation (Urm1-COSH) were found to maintain drastically reduced levels of Ahp1 urmylation and mcm5s2U34 modification. Moreover, as revealed by site specific mutagenesis, the Stransfer rhodanese domain (RHD) in the E1-like activator (Uba4) crucial for Urm1-COSH formation is critical but not essential for protein urmylation and tRNA thiolation. In sum, sulfur supply, transfer and activation chemically link protein urmylation and tRNA thiolation. These are features that distinguish the ubiquitin-like modifier system Uba4•Urm1 from canonical ubiquitin family members and will help elucidate whether, in addition to their mechanistic links, the protein and tRNA modification branches of the URM1 pathway may also relate in function to one another.