Fully discrete Tau solution for some types of non-local heat transport equations

In this paper, orthogonal functions are constructed based on orthogonal polynomials using Kronecker product. In this regard, we present a general formulation for the two-dimensional orthogonal functions and their derivative matrices. These matrices are used in the fully discrete Tau method, on both space and time variables, to reduce the solution of the parabolic partial differential equation (heat conduction) subject to given initial and non-local boundary conditions to the solution of a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.     

Precise Design of Phosphorescent Molecular Butterflies with Tunable Photoinduced Structural Change and Dual Emission

Photoinduced structural change (PSC) is a fundamental excited‐state dynamic process in chemical and biological systems. However, precise control of PSC processes is very challenging, owing to the lack of guidelines for designing excited‐state potential energy surfaces (PESs). A series of rationally designed butterfly‐like phosphorescent binuclear platinum complexes that undergo controlled PSC by Pt–Pt distance shortening and exhibit tunable dual (greenish‐blue and red) emission are herein reported. Based on the Bell–Evans–Polanyi principle, it is demonstrated how the energy barrier of the PSC, which can be described as a chemical‐reaction‐like process between the two energy minima on the first triplet excited‐state PES, can be controlled by synthetic means. These results reveal a simple method to engineer the dual emission of molecular systems by manipulating PES to control PSC.     

A promising structural zinc enzyme model for CO2 fixation and calcification

A new ligand, namely, N-{tris([2-[(1-methylbenzimidazol-2-yl)ethyl]methyl]amino)-2-oxoethyl}iminodiacetic acid is synthesized and characterized and used to prepare a zinc complex as a promising model for the active site of the nacreous protein in mollusc shells. Preliminary investigation of CO₂ fixation and calcification is studied with regard to the influence of the pK_a value of the coordinated water molecule and the carboxylate groups.     

Synthesis,spectroscopic characterization,and in vitro antimicrobial activity of fused pyrazolo[4′,3′:4,5]thieno[3,2-d]pyrimidine

4-Amino-3-methyl-1-phenyl-1H-thieno[2,3-c]pyrazole-5-carboxamide ( 1 ), which had been previously synthesized according to literature, was used for synthesizing pyrazolothieno-pyrimidine ( 2 ) in the presence of triethyl orthoformate and acetic acid. Chlorination of the latter compound upon reflux with phosphorus oxychloride afforded the chloropyrazolothienopyrimidine ( 3 ), which underwent heterocyclization reaction with sodium azide to produce the tetrazolo-pyrazolothienopyrimidine ( 6 ). The chloropyrimidine ( 3 ) reacted with hydrazine hydrate to give the hydrazinopyrimidine derivative ( 4 ), which in turn underwent intramolecular condensation reactions with various 1,3-dicarbonyl compounds, namely ethyl acetoacetate, ethyl benzoylacetate, ethyl cyanoacetate, acetylacetone, diethyl malonate, and ethyl (ethoxymethylene) cyanoacetate, yielding new pyrazolyl pyrazolothienopyrimidine ring systems. Also triazolopyrazolothieno-pyrimidines and benzylidene Schiff's base compounds were obtained as a result of the reactions with carbon disulfide in pyridine and benzaldehyde, respectively. The chemical structures of the newly synthesized compounds were elucidated using elemental and spectroscopic analyses (FT-IR, ¹ H-NMR, ¹³ C-NMR, and mass spectroscopy). Some of the synthesized compounds possess high antibacterial and antifungal activities.     

Synthesis,reactions, and spectral characterization of some new biologically active compounds derived from thieno[2,3-c]pyrazole-5-carboxamide

The starting compound 4-amino-3-methyl-1-phenyl-1H-thieno[2,3-c]pyrazole-5-carboxamide (1) , that has been previously synthesized according to the literature procedure, underwent a reaction with the anhydride of phthalic acid either in AcOH or DMF to give isoindolinylpyrazole-5-carboxamide 3 and pyrazolothienopyrimidoisoindoledione 4 , respectively. Also, it was subjected to react with diethylmalonate followed by hydrazinolysis by hydrazine hydrate to yield the pyrazolothienopyrimidinyl acetohydrazide 5 . The carbohydrazide derivative 5 was used as a key intermediate for the preparation of other new heterocyclic systems containing pyrazolylacetyl pyrazolothienopyrimidines and pyrazolothieno-pyrimidotriazepine compounds 6–11 . The structures of these new heterocycles have been characterized by using analytical and spectroscopic analyses (IR, ¹H-NMR, ¹³C-NMR and MS). Some derivatives of the synthesized compounds exhibited remarkable antibacterial and antifungal activities against many bacterial and fungal strains.     

Synthesis and antimicrobial activity of some new coumarin and dicoumarol derivatives

PTC reaction of coumarin derivative 1 with alkyl halides afforded C₄ oxygen alkylation products 2a-d in appreciative yield, whereas with phenyl isothiocyanate gives the C₃ addition product 4 ; also, one-pot three-component PTC reaction was investigated. Treatment of coumarin 1 with aromatic aldehydes in different molar ratios gives 3-arylidene derivatives 7a,b and the dicoumarol derivatives 8a,b . Pyrano chromene 9 and pyrano pyridine 10 were obtained by reaction of arylidene 7a with ethyl acetoacetate through Michael cycloaddition reaction. The stability of pyrone ring in 3-arylidene 7 and dicoumarol 8 towards different nucleophilic reagents under reflux and/or fusion conditions has been studied by the action of hydrazine hydrate, ammonium acetate, methyl amine, and p-toluidine afforded compounds 11 and 13a-c . The antimicrobial activity of some synthesized compounds has been investigated.     

Synthesis and Reactions of 1‐Amino‐5‐morpholin‐4‐yl‐6,7,8,9‐tetrahydrothieno[2,3‐c]isoquinoline

The pyrazolone derivative 4 was synthesized by reaction of carbohydrazide 2 with ethyl benzoylacetate in ethanol and p‐toluene sulphonic acid followed by cyclization upon heating in acetic acid. Chloroacylation of amino ester and amino benzoyl compounds 1 , 19 gave the chloro acetylamino derivatives 5 and 20 respectively which both of them react with different amines to afford compounds 6 , 23a‐d . Hydrolysis and decarboxlation of compound 1 yielded the aminothienotetrahydroisoquinoline 8 which was used as versatile material for synthesizing other heterocyclic compounds 9‐18 . Compound 20 react with hexamethylenetetramine and malononitrile yielded thediazepino and pyrrolo derivatives 21 , 22 respectively.     

On-column N-dearylation of 2-azetidinones by silica-supported ceric ammonium nitrate

A modified traditional preparative chromatographic column can be used to achieve quantitative N-dearylation of N-(alkoxyphenyl), N-(alkoxynaphthyl), and N-(alkoxybenzyl)-2-azetidinones under mild conditions. Starting materials are charged on top of the column and the pure N-unsubstituted 2-azetidinones leave the column minutes later without need for other purifications. The yields are good-to-excellent and the reaction condition is mild, easy, efficient, and cheap.