Die Invarianz gewisser von Thetareihen erzeugter Vektorräume unter Heckeoperatoren

Ohne Zusammenfassung     

Kinematische Berührung im Äquiaffinen

Given two curves in the real affine plane, one is fixed and the other undergoes volume-preserving affinities. Through transversal affinities we define a contact measure on the subset consisting of those affinities, which cause third-order contact between the fixed and the transformed curve. A kinematic formula expresses this contact measure in terms of affine lengths and affine curvatures of the given curves. In a similar way, parallel supporting planes of closed convex surfaces in affine space are treated.     

Synthesis of poly-1,1′-ferrocenylenesvia ferrocenylenecuprates(1)

Summary The solution polycondensation of TMEDA-chelated 1,1-dilithioferrocene in the presence of Cu⁺ ion, leading to polyferrocenylenes, is explored, the cupration stoichiometry (CuLi=ca. 0.5) being such as to favor the intermediacy of ferrocenylenecuprates, R₂CuLi (R=0.5 ferrocenylene unit). In the first series of experiments, the cuprate intermediates are allowed to undergo thermal or oxidative poly-coupling; in subsequent experiments, they are copolymerized with 1,1-diiodoferrocene. Both reaction sequences result in the formation of linear oligomeric and polymeric coupling products essentially identical in composition and spectroscopic properties with the poly-1,1-ferrocenylenes of previous investigations. Best results are obtained in the copolymerizations with the diiodo derivative, which give higher overall yields (70–75%) and molecular masses (typically 4000 for the first fraction) than attained in earlier work. In addition, whereas previous syntheses involving either the oxidative coupling of the dilithioferrocene with Cu²⁺ ion or the oxidative-thermal coupling of ferroceny-lenecopper(I) intermediates gave large quantities of the dinuclear [0.0]-ferrocenophane at the expense of linear polyferrocenylenes, the copolymerizations with diiodoferrocene distinctly favor linear propagation, and yields of the ferrocenophane are less than one percent. The organocuprate/organoiodide coupling reaction thus constitutes a preparative approach to polyferrocenylenes superior to previous syntheses described.     

Thermostatic properties of symmetric nuclear matter

The thermostatic properties of symmetric nuclear matter are calculated by extension of a recent Thomas-Fermi approach to ground-state nuclei by Myers and Swiatecki [1]. We have computed the free energy per nucleon f(T, n) in Landau's quasiparticle approximation and have derived from it the relevant thermostatic properties. In view of its application to finite excited nuclei, the degenerate limit of nuclear matter is discussed in particular. As an interesting result we find at higher temperatures van-der-Waals-like isotherms in the p-n plane. Below the critical temperature T_c = 17.3 MeV two phases of nuclear matter, liquid and vapour, are defined by these. Comparing these results with the reduced phase transition data of ³He, ⁴He, and “inert gases,” we find that nuclear matter is similar to the He-isotopes, but differs considerably from the inert gases.