Millimetre-wave spectrum of anti-13C1 and 13C2 isotopologues of ethanol

The rotational spectra of the two monosubstituted ¹³C isotopologues of the anti conformer of ethanol have been measured between 80–800 GHz using three different spectrometers at the Cologne Laboratory Astrophysics group. The dataset was constrained for fitting with a standard Watson-S reduction Hamiltonian by rejecting transitions from high-lying states showing significant perturbation with the gauche states and by averaging some small methyl torsional splits. This treatment is compatible with the needs for a first astrophysical research for which an appropriate set of predictions is given.     

Hydroboration of Phosphaalkynes by HB(C6F5)2

The hydroboration of phosphaalkynes with Piers’ borane (HB(C₆F₅)₂) generated unusual phosphaalkenylboranes [RCH=PB(C₆F₅)₂]₂ that persisted as dimers in both solution and the solid state. These P₂B₂ heterocycles underwent ring opening when subjected to nucleophiles, such as pyridine and tert‐butylisocyanide, to yield monomeric phosphaalkenylborane adducts RCH=PB(C₆F₅)₂(L). DFT calculations were performed to probe the nature of the interaction of phosphaalkynes with boranes.     

Total Synthesis of Δ12‐Prostaglandin J3: Evolution of Synthetic Strategies to a Streamlined Process

The total synthesis of Δ¹²‐prostaglandin J₃ (Δ¹²‐PGJ₃, 1 ), a reported leukemia stem cell ablator, through a number of strategies and tactics is described. The signature cross‐conjugated dienone structural motif of 1 was forged by an aldol reaction/dehydration sequence from key building blocks enone 13 and aldehyde 14 , whose lone stereocenters were generated by an asymmetric Tsuji–Trost reaction and an asymmetric Mukaiyama aldol reaction, respectively. During this program, a substituent‐governed regioselectivity pattern for the Rh‐catalyzed C?H functionalization of cyclopentenes and related olefins was discovered. The evolution of the synthesis of 1 from the original strategy to the final streamlined process proceeded through improvements in the construction of both fragments 13 and 14 , exploration of the chemistry of the hitherto underutilized chiral lactone synthon 57 , and a diastereoselective alkylation of a cyclopentenone intermediate. The described chemistry sets the stage for large‐scale production of Δ¹²‐PGJ₃ and designed analogues for further biological and pharmacological studies.     

Simple bilevel programming and extensions

Mathematical Programming - In this paper we discuss the simple bilevel programming problem (SBP) and its extension, the simple mathematical programming problem under equilibrium constraints...     

Inhomogeneous diophantine approximation with prime constraints

We study the problem of inhomogeneous diophantine approximation under certain primality restrictions.