Interplay Between J‐ and H‐Type Coupling in Aggregates of π‐Conjugated Polymers: A Single‐Molecule Perspective

Strong dipole–dipole coupling within and between π‐conjugated segments shifts electronic transitions, and modifies vibronic coupling and excited‐state lifetimes. Since J‐type coupling between monomers along the conjugated‐polymer (CP) chain and H‐type coupling of chromophores between chains of a CP compete, a superposition of the spectral modifications arising from each type of coupling emerges, making the two couplings hard to discern in the ensemble. We introduce a single‐molecule H‐type aggregate of fixed spacing and variable length of up to 10 nm. HJ‐type aggregate formation is visualized intuitively in the scatter of single‐molecule spectra.     

Über galoissche Körpererweiterungen von unendlichem Rang

Ohne ZusammenfassungHerrn Prof. Dr. Dr. h. c.Gottfried Köthe zum 60. Geburtstag gewidmet     

Heuristic derivation of the probability distributions of particles emitted by a black hole

A simple derivation of the probability distributions for the emission of bosons and fermions from a black hole is given. The derivation is based upon the generalized treatment of barrier penetration introduced by Damour and Ruffini. The intuitive amplitude method of Feynman is employed to establish the intimate connection between the statistics of the particles and their spectral distributions.     

Shape-persistent macrocycles with intraannular polar groups: synthesis, liquid crystallinity, and 2D organization

The synthesis of macrocycles with intraannular polar ester groups and extraannular oligo-alkyl groups is described. The compounds exhibit stable liquid crystalline phases showing fan-shaped textures under the polarizing microscope, typical for a columnar order of the molecules. X-ray powder diffraction data of the LC phase indicate that the unit cell contains two symmetry-related units, a feature pointing most probably to a restricted rotation of the macrocycles within a stack. The X-ray data were further supported by solid-state NMR experiments, showing that the rigid core of the compounds does not rotate with kHz or higher frequencies within the column in the LC phase. Apart from the organization of the molecules in the LC phase, the 2D organization of the macrocycles at the solvent-highly oriented pyrolytic graphite (HOPG) interface was investigated and showed that these compounds are capable of nanofunctionalizing the HOPG surface in the multinanometer regime.