Isomorphism of lattices of recursively enumerable sets

Let , and for , let be the lattice of subsets of which are recursively enumerable relative to the ``oracle' . Let be , where is the ideal of finite subsets of . It is established that for any , is effectively isomorphic to if and only if , where is the Turing jump of . A consequence is that if , then . A second consequence is that can be effectively embedded into preserving least and greatest elements if and only if .

     

Cationic copolymerization of tetrahydrofuran with epoxides. II. Characterization and gel-permeation chromatography of by-products formed during polymerization

The cyclic oligomers formed as by-products in the polymerization of propylene oxide. 1,2-butylene oxide, and n-propyl glycidyl ether, and in the copolymerization of these monomers with tetrahydrofuran have been studied by gel-permeation chromatography and otherwise and their structures have been determined. Some of the physical properties of the cyclic oligomers are described.     

Conformational and receptor-binding properties of the insect neuropeptide proctolin and its analogues

Summary Proctolin (Arg-Tyr-Leu-Pro-Thr) was the first insect neuropeptide to be chemically characterised. It plays an essential role in insect neurophysiology and is involved in muscular contraction and neuromodulation. Elements of secondary structure in solution have been studied by comparing data obtained from NMR and molecular dynamics simulations. Different secondary structural requirements are associated with agonist and antagonist activities. A favoured conformation of proctolin has an inverse -turn, comprising an intramolecular hydrogen bond near the C-terminal end between Thr NH and Leu CO. Antagonists have a more compact structure resembling a paperclip loop, containing an intramolecular hydrogen bond between Tyr NH and Pro CO, possibly stabilised by a salt bridge between the N- and C-terminal groups. A cyclic analogue retains antagonist activity and resembles a -bulge loop, also comprising intramolecular hydrogen bonds between Tyr NH and Pro CO and Thr CO. These models may offer feasible starting points for designing novel compounds with proctolinergic activity.     

(Radio)fluoroclick Reaction Enabled by a Hydrogen‐Bonding Cluster

We have developed a widely applicable nucleophilic (radio)fluoroclick reaction of ynamides with readily available and easy‐to‐handle KF(¹⁸F). The reactions exhibited high functional‐group tolerance and needed only an ambient atmosphere. This ¹⁸F addition to C?C unsaturated bonds proceeded with extraordinarily high radiochemical yields.     

Dynamic polarizabilities of polyaromatic hydrocarbons using coupled-cluster linear response theory

Coupled-cluster theory with single and double excitations is applied to the calculation of optical properties of large polyaromatic hydrocarbons. Dipole polarizabilities are reported for benzene, pyrene, and the oligoacenes sequence n=2-6. Dynamic polarizabilities were calculated on polyacences as large as pentacene for a single frequency and for benzene and pyrene at many frequencies. The basis set effect was studied for benzene using a variety of basis sets in the Pople [Theor. Chim. Acta 28, 213 (1973)] and Dunning [J. Chem. Phys. 90, 1007 (1989)] families up to aug-cc-pVQZ and the Sadlej pVTZ basis [Collect. Czech. Chem. Commun. 53, 1995 (1998)], which was used exclusively for the largest molecules. Geometries were optimized using HF, B3LYP, PBE0, and MP2 and compared to experiment to measure method dependence and the possible role of bond-length alternation. Finally, the polarizability results were compared to four common density functionals (B3LYP, BLYP, PBE0, PBE).     

Uncatalyzed Hydrogenation of First‐Row Main Group Multiple Bonds

Room temperature hydrogenation of an SIDep‐stabilized diboryne (SIDep=1,3‐bis(diethylphenyl)‐4,5‐dihydroimidazol‐2‐ylidene) and a cAAC‐supported diboracumulene (cAAC=1‐(2,6‐diisopropylphenyl)‐3,3,5,5‐tetramethylpyrrolidin‐2‐ylidene) provided the first selective route to the corresponding 1,2‐dihydrodiborenes. DFT calculations showed an overall exothermic (ΔG=19.4 kcal mol^?1) two‐step asynchronous H₂ addition mechanism proceeding via a bridging hydride.     

Reversible Switching of the Shear Modulus of Photoresponsive Liquid‐Crystalline Polymers

Manipulation makes light work : The morphology and rheological properties of a liquid‐crystalline system can be dynamically manipulated with UV light by attaching photoresponsive liquid‐crystalline moieties to a siloxane‐based polymer. Stimulation with UV light induces a conformational change in the molecule, which disrupts the liquid‐crystalline mesophase (see picture), and results in a dramatic change in its rheological properties.

     

Copper and native defects in zinc telluride

Zinc telluride crystals were grown from tellurium-rich solutions containing 10¹⁷–10²⁰ cm^?3 atoms of copper. The copper concentrations in these crystals were measured by activation analysis. Hall effect and resistivity measurements were performed. Photoluminescence spectra were also determined. Our interpretation of the different results is that copper brings about both acceptor defects Cu_Zn with a 0·12–0·13 eV ionization energy, and donor defects. The second acceptor level of the zinc vacancy was found to be at 0·15 eV.