Significato proiettivo di alcuni tipi di equazioni differenziali del secondo ordine

Sunto. Ogni elemento di 2^o ordine di curva di una superficie (ad asintotiche distinte e non rettilinee) determina duequadriche asintotiche osculatrici. Gli elementi di 2^o ordine tali che queste quadriche abbiano, in ogni punto della superficie, un contatto assegnato con una retta, conica o cubica sghemba associata al punto appartengono alle curve integrali di equazioni differenziali del tipov″P _i (v′)=P _i+3(v′) (i=1, 2) oveP _k (v′) è un polinomio di gradok inv′=dv/du a coefficienti funzioni diu ev. Determinazione della configurazione geometrica a partire dall'equazione.     

Ein neues Verfahren Nitrobenzol in Kirschlorbeer?l oder Bittermandel?l nachzuweisen

Ohne Zusammenfassung     

Zinc Interactions with a Soluble Mutated Rat Amylin to Mimic Whole Human Amylin: An Experimental and Simulation Approach to Understand Stoichiometry,Speciation and Coordination of the Metal Complexes

Islet amyloid polypeptide (IAPP) is a hormone co-secreted with insulin and zinc from pancreatic β-cells. To overcome the low solubility of human IAPP, we characterized zinc complexes species formed with 1) a mutated form of rat-IAPP(1–37; R18 H) able to mimic the human IAPP, 2) the r-IAPP(1–37) and the IAPP(1–8) fragment. Stoichiometry, speciation and coordination features of zinc(II) complexes were unveiled by ESI-MS, potentiometry and NMR measurements combined with DFT and free-energy simulations. Mononuclear species start to form around pH 6; Zn²⁺ binds both His18 and N-amino terminus in rat-IAPP(1–37; R18 H). The in silico study allows us to assess not only a structured turn compact domain in r-IAPP(1–37) and r-IAPP(1–37; R18 H) featured by a different free energy barrier for the transition from the compact to elongated conformation upon the coordination of Zn²⁺, but also to bring into light a coordination shell further stabilized by noncovalent interactions.     

Van Der Waals Heterostructures with Spin-Orbit Coupling

Herein, recent work on van der Waals (vdW) systems in which at least one of the components has strong spin-orbit coupling is reviewed, focussing on a selection of vdW heterostructures to exemplify the type of interesting electronic properties that can arise in these systems. First a general effective model to describe the low energy electronic degrees of freedom in these systems is presented. The model is then applied to study the case of (vdW) systems formed by a graphene sheet and a topological insulator. The electronic transport properties of such systems are discussed and it is shown how they exhibit much stronger spin-dependent transport effects than isolated topological insulators. Then, vdW systems are considered in which the layer with strong spin-orbit coupling is a monolayer transition metal dichalcogenide (TMD) and graphene-TMD systems are briefly discussed. In the second part of the article, a case is discussed in which the vdW system includes a superconducting layer in addition to the layer with strong spin-orbit coupling. It is shown in detail how these systems can be designed to realize odd-frequency superconducting pair correlations. Finally, twisted graphene-NbSe2 bilayer systems are discussed as an example in which the strength of the proximity-induced superconducting pairing in the normal layer, and its Ising character, can be tuned via the relative twist angle between the two layers forming the heterostructure.