Two arbitrarily situated cracks in an elastic plate under flexure

Based on Reissner's theory for the bending of thin plates and by replacing the cracks by dislocation arrays, the flexure problem for an unbounded plate, containing two arbitrarily situated rectilinear cracks, is reduced to a system of singular integral equations relative to six functions which characterize the density of dislocations.The solution, in the form of the product of the series of Chebyshev polynomials of the first kind and their weight function, is obtained for the cases of plain bending and uniform twisting along an arbitrarily inclined direction to the cracks.Numerical results are shown for two fundamental cases of crack configuration, i.e. a pair of equal colinear cracks and equal parallel cracks without stagger.     

Amperometric biosensor based on reductive H2O2 detection using pentacyanoferrate-bound polymer for creatinine determination

Pentacyanoferrate-bound poly(1-vinylimidazole) (PVI[Fe(CN)₅]) was selected as a mediator for amperometric creatinine determination based on the reductive H₂O₂ detection. Creatinine amidohydrolase (CNH), creatine amidohydrolase (CRH), sarcosine oxidase (SOD), peroxidase (POD), and PVI[Fe(CN)₅] were crosslinked with poly(ethylene glycol) diglycidyl ether (PEGDGE) on a glassy carbon (GC) electrode for a creatinine biosensor fabrication. Reduction current was monitored at −0.1 V in the presence of creatinine and O₂. It is revealed that PVI[Fe(CN)₅] is suitable as a mediator for a bioelectrocatalytic reaction of POD, since PVI[Fe(CN)₅] neither reacts with reactants nor works as an electron acceptor of SOD. The amounts of PVI[Fe(CN)₅], PEGDGE, and enzymes were optimized toward creatinine detection. Nafion as a protecting film successfully prevented the enzyme layer from interferences. The detection limit and linear range in creatinine determination were 12 μM and 12–500 μM (R² = 0.993), respectively, and the sensitivity was 11 mA cm⁻² M⁻¹, which is applicable for urine creatinine tests. The results of the creatinine determination for four urine samples measured with this proposed method were compared with Jaffe method, and a good correlation was obtained between the results.     

Asymmetric electrosynthesis: Recent advances in catalytic transformations

Asymmetric synthesis is one of the most important and valuable research fields in modern organic chemistry. Since the use of electricity as a traceless oxidant or reductant under electrochemical conditions, highly reactive intermediates can selectively generate under mild reaction conditions through more environmentally benign conditions compared with the reactions using common chemical oxidants or reductants. Thus, the merging electrochemistry with asymmetric catalysis would provide a unique and powerful approach for the synthesis of optically active compounds under oxidative or reductive conditions. Selected recent (2018–2020) examples of enantioselective electro-organic synthesis using transition metal catalysts or organocatalysts are summarized in this short review. These examples are divided to oxidative and reductive transformations and described together with brief reaction mechanisms.     

Catalytic enantioselective synthesis of atropisomeric 2-aryl-4-quinolinone derivatives with an N–C chiral axis

In the presence of an (R)-MOP-Pd₂(dba)₃ catalyst, the reaction of ortho-tert-butylaniline with 2-bromophenyl arylethynyl ketone proceeded via a tandem amination (1,4-addition of aniline to an ynone and subsequent intramolecular Buchwald–Hartwig amination) to afford axially chiral N-(2-tert-butylphenyl)-2-aryl-4-quinolinone derivatives with moderate enantioselectivity (up to 72% ee).     

Conjugated Copper–Catecholate Framework Electrodes for Efficient Energy Storage

A conjugated copper(II) catecholate based metal–organic framework (namely Cu‐DBC) was prepared using a D₂‐symmetric redox‐active ligand in a copper bis(dihydroxy) coordination geometry. The π‐d conjugated framework exhibits typical semiconducting behavior with a high electrical conductivity of ca. 1.0 S m^?1 at room temperature. Benefiting from the good electrical conductivity and the excellent redox reversibility of both ligand and copper centers, Cu‐DBC electrode features superior capacitor performances with gravimetric capacitance up to 479 F g^?1 at a discharge rate of 0.2 A g^?1. Moreover, the symmetric solid‐state supercapacitor of Cu‐DBC exhibits high areal (879 mF cm^?2) and volumetric (22 F cm^?3) capacitances, as well as good rate capability. These metrics are superior to most reported MOF‐based supercapacitors, demonstrating promising applications in energy‐storage devices.