Non-linear dynamics of a driven two-level tunnelling defect

With increasing external-field amplitude the dynamics of a driven two-level system shows a cross-over from the weak-coupling or linear-response behaviour to a non-linear regime which is characterised by the appearance of Rabi oscillations, a field-dependent dynamical susceptibility, saturation of energy dissipation and additional frequencies in the correlation function. The system any initial distribution will relax towards a stationary state with a time-dependent polarisation vector. These features are derived from the propagator of the two-level system which is calculated using a perturbative scheme with a well-defined small parameter; the roatating-wave approximation of the Bloch equations is avoided. the dynamical behaviour is discussed by means of correlation and response functions.     

(Perhalogenmethylthio)heterocyclen. XVIII . Synthese und eigenschaften von halogenierten (perhalogenmethylthio)pyrrolen

(Trifluoromethyltho)pyrroles 1-5 and (chlorodifluoromethylthio)pyrroles 6 were chlorinated by sulfuryl chloride, sulfuryl chloride/silicon dioxide, sulfuryl chloride/disulfur dichloried/aluminium trichloried to give the corresponding chloropyrroles 1a-d , 2a,b , 3a,b , 4a , 5a , and 6a-c Bromination with bromine or iodination with iodine/potassium iodide of 2, 3, 4 , and 6 yielded the derivatives 2c,d, 3c,d, 4b, 6d , and 2e, 3e, f, 4c , 6e respectively. Mixed halogenated pyrroles 3g and h were obtained from 3a and bromne or 3a and iodine/potassium iodide. During some chlorination reactions 7, 8 , and 9 were fromed in low yield asbyproducts. The ¹H-nmr, ¹⁹F-nmr and ir spectroscopic data are presented.     

Cyclobutenes by platinum-catalyzed cycloisomerization reactions of enynes

1,6-Enynes bearing (electron-rich) aryl substituents on their alkyne moiety rearrange to cyclobutene derivatives in the presence of catalytic amounts of PtCl2 in toluene. The reaction is significantly accelerated when performed under an atmosphere of CO (1 atm), most likely by increasing the electrophilicity of the metal template by temporary coordination to this pi-acidic ligand. This transformation allows the build up of considerable strain in the products as witnessed by the productive formation of tricyclic skeletons, such as 7 or 9. Moreover, these products provide evidence for the mechanistic scenario of platinum-catalyzed cycloisomerization reactions previously proposed, which are thought to proceed via organo-platinum species that mimic the reactivity of metal-complexed "nonclassical" carbocations.     

Is the Sky-Hook Configuration Stable?

The sky-hook, that is a string forming a connection from the surface of the Earth to a satellite in geostationary orbit, which may be used as track for an Earth to space elevator, is an old dream of mankind, originating about 100 years ago in Russia. Besides the question of feasibility from a technological point of view also the question concerning the stability of such a configuration has not yet been completely solved. Under the assumption that a proper material (carbon nanotubes) is available making the connection possible technologically, we address the question of stability of the radial relative equilibrium of a tapered string reaching from the surface of the Earth to a satellite on a circular geosynchronous orbit around the Earth.     

Zur Labyrinthstruktur bei Martensit

Ohne Zusammenfassung

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