Dichiral [4.4.3.01,5]tridecane copper(II) cluster derived from a tripodal ligand having unsymmetrical podands and the linker: Synthesis,structure, surface grafting and catalytic aspects

Pseudo‐atranes have a significant role in catalysis; however, obtaining chiral pseudo‐atranes for covalent functionalization of heterogeneous catalytic surfaces is very challenging. Herein, synthesis of a chiral tripodal amine [N{CH (CH₂Ph)CH₂OH}{CH₂(4? Br? C₆H₃OH)}{CH₂(2? CHO? 4? Me? C₆H₂OH)}] ( 1 ) and a dichiral [4.4.3.0^1,5]tridecane copper(II) cluster, that is, (Cu[N{CH (CH₂Ph)CH₂OH}{CH₂(4? Br? C₆H₃O)}{CH₂(2? CHO? 4? Me? C₆H₂O)}])₂ ( 2 ) is described. The compounds are characterized by elemental analyses, Fourier transform infrared (FT‐IR) spectroscopy, mass spectrometry and single‐crystal X‐ray crystallography (for 2 ). The compound 2 is the first example of chiral pseudo‐copper(II)atrane in which three unsymmetrical arms (two phenolic and a chiral ethanolic arm) are fused via Cu? N transannular bond. The free ? CHO group present in one of the tricyclic arms of the 2 is tested as a linker to load it on 3‐aminopropyltriethoxysilane‐functionalized magnetic nanosilica for catalytic applications. The loading of 2 on magnetic nanosilica through ? CHO was confirmed by FT‐IR spectroscopy, and the 2 ‐loaded magnetic nanosilica ( Fe ₃ O ₄ @SiO ₂ /2 ) was characterized by powder X‐ray diffraction, vibrating sample magnetometry, scanning electron microscopy, energy‐dispersive X‐ray spectroscopy and elemental mapping. The Fe ₃ O ₄ @SiO ₂ /2 was found highly efficient, retrievable, eco‐friendly and green catalyst for obtaining β‐amino alcohols in excellent yields in an aqueous medium. Overall, present work is the first report on synthetic, structural and catalytic aspects of dichiral cluster of copper(II)atrane possessing unsymmetrical tricyclic arms.     

On the dynamics of nonlinear systems with input constraints

In this work we deal with the dynamical analysis of nonlinear systems with input constraints. A characterization of the domain of attraction of the region of controllability of an equilibrium point under bounded control is provided and the concept of regions of invariance within such domains of attraction is introduced and characterized. The concepts and results are illustrated through case studies on chemical reactor models. (c) 1999 American Institute of Physics.     

Uncoupled thermoelastic analysis for a thick cylinder with radiation

An attempt has been made to study the uncoupled thermoelastic response of thick cylinder of length 2h in which heat sources are generated according to the linear function of the temperature, with boundary conditions of the radiation type. This approach is based upon integral transform techniques, to find out the thermoelastic solution. The results are obtained in terms of Bessel functions in the form of infinite series.     

Benzothiazole-based chemosensor for CN− and Cu2+: multi-logic operations within a single molecule

2-Hydroxy-1-naphthaldehyde-based benzothiazole chemosensor (1) undergoes absorption and fluorescence changes with addition of CN^?  and Cu²⁺ ions. Addition of CN^?  ions results in the appearance of two new bands at 420 and 440 nm. However, Cu²⁺ addition causes decrease in absorption band at 370 nm up to 12 equiv., while addition of higher equiv. of Cu²⁺(～190 equiv.) results in the appearance of two new bands at 400 and 800 nm. Differential absorption changes observed with addition of Cu²⁺ and CN^?  ions results in the construction of ‘NOR’ and ‘INHIBIT’ logic gates at 370 and 440 nm, respectively.     

Maximal Area Integral Problem for Certain Class of Univalent Analytic Functions

One of the classical problems concerns the class of analytic functions f on the open unit disk |z| < 1 which have finite Dirichlet integral Δ(1, f), where

$$\Delta(r ,f) = \iint_{|z| < r} |f' (z)| ^ 2 \, {\rm d} x {\rm d}y \quad (0 < r \leq 1)$$

The class \({\mathcal{S} ^*(A,B)}\) of normalized functions f analytic in |z| < 1 and satisfies the subordination condition \({zf'(z)/f(z)\prec (1+Az)/(1+Bz)}\) in |z| < 1 and for some \({-1\leq B\leq 0}\) , \({A \in \mathbb{C}}\) with \({A\neq B}\) , has been studied extensively. In this paper, we solve the extremal problem of determining the value of

$$\max_{f\in \mathcal{S}^*(A,B)}\Delta(r,z/f)$$

as a function of r. This settles the question raised by Ponnusamy and Wirths (Ann Acad Sci Fenn Ser AI Math 39:721–731, 2014). One of the particular cases includes solution to a conjecture of Yamashita which was settled recently by Obradovi? et al. (Comput Methods Funct Theory 13:479–492, 2013).

     

Synthesis and anticancer activity of geldanamycin derivatives derived from biosynthetically generated metabolites

A new series of geldanamycin derivatives were synthesized using a semi-synthetic approach involving genetically engineered biosynthetic intermediates. These analogues were then evaluated for anti-proliferation activity in human cancer cell lines, SK-Br3 and SK-Ov3. Most of the synthesized compounds exhibited potent in vitro anti-proliferation activity toward both cell lines. Such compounds potently inhibited the expression of the Hsp90 client protein ErbB2.     

Single molecular colorimetric probe for simultaneous estimation of Cu2+ and Ni2+

The different optical responses in chromogenic sensor stimulated by addition of Cu(2+) (red to blue) and Ni(2+) (red to green) allow simultaneous estimation of Cu(2+) and Ni(2+).     

Uracil-Appended Fluorescent Sensor for Cu2+ and Hg2+ Ions: Real-Life Utilities Including Recognition of Vitamin B2 (Riboflavin) in Milk Products and Invisible Ink Applications

A simple uracil-appended fluorescent sensor (1) has been developed by one pot reaction and characterized by using common spectroscopic methods such as UV-vis, Fluorescence, HRMS and FT-IR analyses. Upon addition of various metal ions to the CH₃CN solution of sensor 1, the fluorescence was quenched in the presence of Cu²⁺ / Hg²⁺ ions. The limit of detection for Cu²⁺ and Hg²⁺ was calculated to be 3.31 and 0.316 µM, respectively. Further, the sensor was applied for real-life applications in the determination of Vitamin B₂ (riboflavin) and its presence in milk products. With the incorporation of different sources of vitamin-B to acetonitrile solution of it, there was discernible fluorescence enhancement only in the presence of vitamin B₂. Also, it has been successfully applied for the detection of Vitamin B₂ (riboflavin) in milk and curd. Moreover, based on the fluorescent color changes, the sensor was utilized for invisible ink applications.

     

Benzimidazole-based imine-linked chemosensor: chromogenic sensor for Mg2+ and fluorescent sensor for Cr3+

We synthesized an imine-linked, benzimidazole-based chemosensor that can be used for chromogenic recognition of Mg²⁺ and fluorescent recognition of Cr³⁺. The chemosensor shows sensitive, selective, and ratiometric recognition of Cr³⁺ through concurrent quenching at one wavelength and enhancement of fluorescence intensity at another wavelength. It can also be used to detect Mg²⁺ via UV–vis absorption spectroscopy. DFT calculations support these phenomena. The sensor can be used to strain microbe cells without breakage.