3-Colorable Even Embeddings on Closed Surfaces

It is known that for any closed surface F², every even embedding on F² with sufficiently large representativity is 4-colorable. In this paper, we shall characterize 3-colorable even embeddings on F² with sufficiently large representativity.     

Structural Changes in Drawn Poly(L-lactide)/Clay Hybrid Films

The films composed of poly(L-lactide)(PLLA)/organoclay hybrids (PLACHs) have been prepared via a melt-compounding process, in which the organoclay paticles are uniformly dispersed in the PLLA matrix. The changes in PLLA crystal orientation for the uniaxially drawn films were studied by differential scanning calorimetry, X-ray diffractometry and transmission electron microscopy. Additionally, temperature dependence of the mechanical properties for these drawn films were examined by a dynamic viscoelastometer. After drawing the quenched PLACHs film at 90 °C, the orientation and crystallinity of PLLA crystal increased rapidly with increasing drawing ratio (λ) in the range more than 3 times. At the higher λ, the organoclay platelet particles in the PLACHs became parallel to the draw direction. The mechanical properties of drawn PLACHs were strongly dependent on both clay concentration and λ.     

Large two-photon absorption (TPA) cross-section of directly linked fused diporphyrins

The excited state dynamics and two-photon absorption properties of four novel triply linked porphyrin dimers in toluene have been investigated. The fused porphyrin dimers exhibit extremely increased two-photon absorption cross-section values (12,000-15,000 GM) compared with porphyrin monomers owing to much enhanced pi-electron delocalization throughout the porphyrin dimer ring.     

Highly regioselective Ir-catalyzed beta-borylation of porphyrins via C-H bond activation and construction of beta-beta-linked diporphyrin

Highly regioselective borylation of 5,15-diaryl- and 5,10,15-triarylporphyrins has been achieved by the reaction with bis(pinacolato)diborane under iridium catalysis. Borylated porphyrins are a useful building block for constructing porphyrin arrays, hence offering an effective route to beta-functionalized porphyrins.