Nonlinear optical studies of 1-3-diaryl-propenones containing 4-methylthiophenyl moieties

The third-order nonlinear optical properties of chalcone derivatives have been studied using the single beam Z-scan technique. The dependence of χ⁽³⁾ on different donor and acceptor type substituents demonstrates the electronic nonlinearity of compounds. The largest value of nonlinear refractive index, n₂, measured for a high electron donor substituted molecule is −2.033 × 10⁻¹¹ esu. These molecules exhibit a strong two-photon absorption and interesting optical limiting of nanosecond laser pulses at 532 nm.     

Convenient Synthesis of Some 4′-Methtylthio–Containing Aryl and Arylfuryl Pyrazolines and Their Antimicrobial Activity Studies

The condensation of 4-acetylthioanisole with different aryl and aryfuryl aldehydes under aldol conditions affords α, β-unsaturated ketones (propenones), which undergo a facile and clean cyclization with hydrazines to give pyrazolines (4–6) in quantitative yields. The structures of newly synthesized compounds have been confirmed on the basis of spectral studies. All newly synthesized compounds were tested for their antibacterial and antifungal activity.     

Counting maximal subbundles via Gromov-Witten invariants

In this article we explicitly compute the number of maximal subbundles of rank k of a general stable bundle of rank r and degree d over a smooth projective curve C of genus g2 over , when the dimension of the quot scheme of maximal subbundles is zero. Our method is to describe these numbers purely in terms of the Gromov-Witten invariants of the Grassmannian and use the formula of Vafa and Intriligator to compute them.     

On a characterization of finite vector bundles as vector bundles admitting a flat connection with finite monodromy group

We prove that a holomorphic vector bundle over a compact connected Kähler manifold admits a flat connection, with a finite group as its monodromy, if and only if there are two distinct polynomials and , with nonnegative integral coefficients, such that the vector bundle is isomorphic to . An analogous result is proved for vector bundles over connected smooth quasi-projective varieties, of arbitrary dimension, admitting a flat connection with finite monodromy group.

When the base space is a connected projective variety, or a connected smooth quasi-projective curve, the above characterization of vector bundles admitting a flat connection with finite monodromy group was established by M. V. Nori.

     

A Rapid and Efficient Stereoselective Synthesis of (Z)‐ and (E)‐Allyl Bromides from Baylis–Hillman Adducts Using Bromo(dimethyl)sulfonium Bromide

Treatment of Baylis–Hillman adducts 1 with bromo(dimethyl)sulfonium bromide, Br(Me₂)S⁺Br^?, in MeCN was found to stereoselectively afford (Z)‐ and (E)‐allyl bromides 2 . The reaction is rapid at room temperature, high‐yielding, and highly stereoselective.     

An expedient stereoselective synthesis of (Z)- and (E)-allyl iodides from Baylis-Hillman adducts along with selective iodination of benzylic alcohols using the polymethylhydrosiloxane-iodine system

A stereoselective method has been developed for the synthesis of (Z)- and (E)-allyl iodides from Baylis-Hillman adducts using polymethylhydrosiloxane (PMHS) and iodine in chloroform at room temperature. In addition, the reagent system has been utilized for the iodination of benzylic alcohols selectively.