Discovery of Homobivalent Bitopic Ligands of the Cannabinoid CB2 Receptor**

Single chemical entities with potential to simultaneously interact with two binding sites are emerging strategies in medicinal chemistry. We have designed, synthesized and functionally characterized the first bitopic ligands for the CB₂ receptor. These compounds selectively target CB₂ versus CB₁ receptors. Their binding mode was studied by molecular dynamic simulations and site-directed mutagenesis.     

On the calculation of a limit for infinite systems from data on finite systems

We propose a mathematical model for the calculation of physical or chemical properties of infinite polymers, based on data for structurally closely related finite molecules. The modelling is phenomenological but permits a physical interpretation of the parameters involved in the equations. Received: 11 June 1996 / Accepted: 5 June 1997     

Photoelectrochemical Hydrogen Production in Alkaline Solutions Using Cu2O Coated with Earth‐Abundant Hydrogen Evolution Catalysts

The splitting of water into hydrogen and oxygen molecules using sunlight is an attractive method for solar energy storage. Until now, photoelectrochemical hydrogen evolution is mostly studied in acidic solutions, in which the hydrogen evolution is more facile than in alkaline solutions. Herein, we report photoelectrochemical hydrogen production in alkaline solutions, which are more favorable than acidic solutions for the complementary oxygen evolution half‐reaction. We show for the first time that amorphous molybdenum sulfide is a highly active hydrogen evolution catalyst in basic medium. The amorphous molybdenum sulfide catalyst and a Ni–Mo catalyst are then deposited on surface‐protected cuprous oxide photocathodes to catalyze sunlight‐driven hydrogen production in 1 M KOH. The photocathodes give photocurrents of ?6.3 mA cm^?2 at the reversible hydrogen evolution potential, the highest yet reported for a metal oxide photocathode using an earth‐abundant hydrogen evolution reaction catalyst.     

Fourier Inversion Formulas in Option Pricing and Insurance

Several authors have used Fourier inversion to compute prices of puts and calls, some using Parseval’s theorem. The expected value of max (S – K, 0) also arises in excess-of-loss or stop-loss insurance, and we show that Fourier methods may be used to compute them. In this paper, we take the idea of using Parseval’s theorem further: (1) formulas requiring weaker assumptions; (2) relationship with classical inversion theorems for probability distributions; (3) formulas for payoffs which occur in insurance. Numerical examples are provided.      

Indirect Determination of Electronic Transition Frequencies of Coronene,Triphenylene and 1,2,5,6-Dibenzanthracene in the Vapor Phase

Frequencies of absorption band maxima for the first two electronic singlet transitions of coronene, triphenylene and 1,2,5,6-dibenzanthracene in vapor phase were calculated indirectly from solution spectral data. The calculations were based on two different models: the first one was a linear correlation between the solution absorption frequencies in nonpolar solvents and the solvent refractive indices. The accuracy of both methods was checked with anthracene and some of its derivatives: both methods gave a good agreement with the experimental values.     

The role of material microstructure in the magnetic behavior of amorphous and polycrystalline Co<Subscript>x</Subscript>Si<Subscript>1-x</Subscript> lines

The role of material microstructure in the magnetic anisotropy of real nanostructures has been studied by the comparison of the magnetic behavior of arrays of amorphous and polycrystalline Co_xSi_1-x lines. From the experimental measurements of angular dependences of remanences parallel and perpendicular to the applied field we determine the angular dispersion of effective local easy axis of anisotropy. We have proved that amorphous lines have a dispersion of effective anisotropy axis much smaller than the polycrystalline samples. As a consequence, amorphous lines have a better defined magnetic behaviour, pointing the interest of the fabrication of nanostructures made of amorphous materials.