On the Probability Density of the Nuclei in a Vibrationally Excited Molecule

For localized and oriented vibrationally excited molecules, the one-body probability density of the nuclei (one-nucleus density) is studied. Like the familiar and widely used one-electron density that represents the probability of finding an electron at a given location in space, the one-nucleus density represents the probability of finding a nucleus at a given position in space independent of the location of the other nuclei. In contrast to the full many-dimensional nuclear probability density, the one-nucleus density contains less information and may thus be better accessible by experiment, especially for large molecules. It also provides a quantum-mechanical view of molecular vibrations that can easily be visualized. We study how the nodal structure of the wavefunctions of vibrationally excited states translates to the one-nucleus density. It is found that nodes are not necessarily visible: Already for relatively small molecules, only certain vibrational excitations change the one-nucleus density qualitatively compared to the ground state. It turns out that there are some simple rules for predicting the shape of the one-nucleus density from the normal mode coordinates, and thus for predicting if a vibrational excitation is visible in a corresponding experiment

Performing Art Libraries at Duesseldorf : their role in the field of introducing computer-based information management within the Theatre Museum and the Film Museum

Düsseldorf is the capital of North Rhine-Westphalia, the state with the highest number of inhabitants in Germany. The city has a rich cultural history: The theatre history started in 1485 (the festivities in the context of a princely marriage at Düsseldorf). Theatre historiography marks three great periods for Düsseldorf (Immermann, 1834-1837; Dumont-Lindemann, 1905-1933; Gründgens, 1947-1955). The city has a long history of involvment with film, too. For instance the first German film journal „Der Kinematogaph“ began publishing here in 1907. Düsseldorf became after 1945 a distribution center and served for decades as site of all major German and foreign distributors‘ headquartes. It offers still a lot of cultural events: performing arts in different forms (theatre at the Düsseldorfer Schauspielhaus, musical at the Capitol, opera and ballet at the German Opera Düsseldorf-Duisburg, dance at the Tanzhaus (Dance House) North Rhine-Westphalia, free and independant theatre groups, private theatres, cinema, media, museums, cultural institutions, representing other countries like France, Poland ..

Theatre information : searched and recorded once, manifold extended and used

Düsseldorf is the capital of North Rhine-Westphalia, the state with the highest number of inhabitants in Germany. The city has a rich cultural history: The theatre history started in 1585 (the festivities in the context of a princely marriage at Düsseldorf). Theatre historiography marks three great periods for Düsseldorf (Immermann, 1834-1837; Dumont-Lindemann, 1905-1933; Gründgens, 1947-1955). In 2005 and 2006 we celebrate many anniversaries within the theatrical context: 100 years Schauspielhaus Dumont-Lindemann in 2005, 50 years theatre community Düsseldorf-Duisburg (Deutsche Oper am Rhein Düsseldorf-Duisburg), 50 years puppet theatre (Düsseldorfer Marionettentheater), 30 years children and youth theatre (Kinder- und Jugendtheater im Düsseldorfer Schauspielhaus), 10 years Capitol (musical theatre) beside other cultural events, for example the anniversaries of Heine and Schumann

Some Consequences of the Baryonic Dark Matter Population

Microlensed double-image quasars have sent a consistent message that the baryonic dark matter consists of a population of free-roaming planet mass objects, as summarized previously. These were previously predicted to have formed at the time of recombination, 300,000 years after the Big Bang, whence they collapsed on a Kelvin Helmholz time scale. Today they are glimpsed as the cometary knots in planetary nebulae. But they probably also nucleate the mysterious Lyman-alpha clouds and cause a reduction in the transparency of the universe to distant quasars and supernovae.Comment: Report to the Edinburgh International Dark Matter 2004 Symposiu