Sensing of Trace Amounts of Dodecyl Benzene Sulfonate by Solid Phase Spectrophotometry

A very simple, selective and sensitive spectrophotometric method for the determination of dodecyl benzene sulfonate (DBS) has been investigated. In this method, the ion pair of DBS and methylene blue was adsorbed onto plasticized poly(vinylchloride) membrane as a solid phase extraction medium. The absorbance of the blue membrane was measured at 660nm against a blank membrane using a spectrophotometer. The influence of type and amount of plasticizer, pH, concentration of methylene blue, temperature of sample solution and time of extraction on the absorbance of membrane was studied. Linear calibration was obtained over a concentration range of 0.1 to 6.5µgmL^–1 of DBS. The method was applied to the determination of DBS in different commercial detergents. The precision and accuracy of the method is comparable with the conventional standard method. This method is cost-effective, and the use of organic solvent such as chloroform is completely eliminated.     

Retracted: A new class of copper(I) complexes with imine-containing chelators which show potent anticancer activity

Seven novel complexes (C₁–C₇) were synthesized by the interaction between Cu(I) metal cation, L₁, L₂, L₃, X and PPh₃, where L₁–L₃ are derivatives of ((pyridine-2-ylmethylene)amino)phenol imine ligands and X = Cl⁻, Br⁻, I⁻, NCS⁻. All the complexes were characterized using infrared, ¹H NMR and ³¹P NMR spectroscopies. The crystal structures of C₁–C₇ were also determined using single-crystal X-ray diffraction. The organization of the crystal structures and the intermolecular interactions are discussed. The supramolecular assemblies are driven by cooperative π…π interactions and hydrogen bonds, followed by CH…π linkages. The potential anticancer effect of C₁–C₇ was assessed for human glioblastoma cells using several anticancer experiments, which showed that these complexes have marked anticancer property against U87 cells. It was also found that the minimum and maximum anticancer effects are shown by C₃- and C₄-treated samples, respectively. Furthermore, theoretical approaches were used to investigate the nature of metal–ligand interactions which suggest a closed-shell and electrostatic character for Cu…N, Cu…P and Cu…X bonds.     

Candidates for nonzero Betti numbers of monomial ideals

Let I be a monomial ideal in the polynomial ring S generated by elements of degree at most d. In this paper, it is shown that, if the i-th syzygy of I has no elements of degrees j,…,j+(d?1) (where j≥i+d), then (i+1)-th syzygy of I does not have any element of degree j+d. Then we give several applications of this result, including an alternative proof for Green–Lazarsfeld index of the edge ideals of graphs as well as an alternative proof for Fröberg’s theorem on classification of square-free monomial ideals generated in degree 2 with linear resolution. Among all, we deduce a partial result on subadditivity of the syzygies for monomial ideals.     

The regularity of edge ideals of graphs

In this paper, we introduce some reduction processes on graphs which preserve the regularity of related edge ideals. Using these, an alternative proof for the theorem of R. Fröberg on the linearity of the resolutions of edge ideals is given.     

Noether symmetries of Bianchi type II spacetimes

This paper is devoted to investigate Noether symmetries of Bianchi type II spacetimes. We use the reduced involutive form of the determining equations to classify their possible algebras. We show that Noether symmetries contain both Killing vectors and homothetic motions.     

Toward the comprehensive calculations on the relationship between 1H, 13C, 31P chemical shifts, 2JPH,and the bonding structure of different phosphoryl benzamides

A comprehensive investigation was performed on ¹H, ¹³C, and ³¹P nuclear magnetic resonance (NMR) chemical shifts (CSs) of phosphoryl benzamide derivatives (C₆H₅C(O)NHP(O)R₁R₂), (R₁, R₂ = aziridine [L₁], azetidine [L₂], pyrrolidine [L₃], piperidine [L₄], azepane [L₅], 4-methylpiperidine [L₆], propane-2-amine [L₇], and 2-methylpropane-2-amine [L₈]) by the gauge-independent atomic orbital method (GIAO) to find the most accordant level of theory with the experimental values. To achieve this goal, all the structures were optimized using the B3LYP, BP86, PBE1PBE, M06-2X, MPWB1K, and MP2 methods with 6–31+G* basis set. Computed structural parameters demonstrate that BP86 has the best agreement to the experimental values between the other methods. The def2-TZVP and aug-cc-pVDZ basis sets were also employed to inspect the effect of different types of basis sets with higher polarization and diffuse functions. The correlation between the empirical and computational values attests that 6–31+G* basis set is the optimum case regarding minimization of the costs and results. The comparison between calculated and experimental CSs at all mentioned combinations illustrated that in accordance with structural results, the best level of theory in CSs is also BP86/6–31+G*. Besides, ²J_PH values were computed with an acceptable agreement to experimental data at the optimum level of theory. The dependency between ²J_PH and the bonding structure of studied ligands was also scrutinized by the Natural Bond Orbital (NBO) analysis that interprets the relationship between the electronic properties and ²J_PH values.     

Electrochemical and mechanical characteristics of Al-(x)SiC composite fabricated by high energy compaction

Simultaneous compaction and sintering using the energy generated by the underwater explosion is a rapid method that does not have the negative consequences of normal sintering, such as unwanted reactions between components and grain growth. For this reason, this study used the energy from this process to produce Al/SiC composites with different amounts of SiC. As a result, 10, 20, and 30% of SiC powder were added to the Al powder, and then the samples were produced by compression under the influence of an underwater explosion. The results showed that as the amount of SiC increased, the samples' density and the amount of porosity for further agglomeration increased. Microstructural examination by Scanning Electron Microscopy (SEM) confirmed the increase in agglomeration with increasing SiC. Besides, Samples experienced an increase in hardness as the amount of SiC raised. Adding 10% of SiC increased the flexural strength while adding more (20 and 30%) increased the agglomeration resulting in a decrease in strength and elongation. Polarization and impedance spectroscopy (EIS) methods were used to study the samples' electrochemical behavior in a 3.5% NaCl solution. Results showed that the addition of SiC particles up to 10% (wt%) reduces the corrosion density from 9.7 (μA/cm²) to 2.06 (μA/cm²). The Al–10%SiC composite had the lowest corrosion current density compared to 20% and 30% SiC composites. In addition, the polarization resistance of the Nyquist plot for pure Al and Al composite containing 10% SiC was 3965 and 7862, respectively. Therefore, these results showed the beneficial effect of 10% SiC as reinforcing particles on the corrosion behavior of Al composites and thus improved corrosion resistance.     

Simplicial orders and chordality

Chordal clutters in the sense of Bigdeli et al. (J Comb Theory Ser A 145:129–149, 2017) and Morales et al. (Ann Fac Sci Toulouse Sér 6 23(4):877–891, 2014) are defined via simplicial orders. Their circuit ideal has a linear resolution, independent of the characteristic of the base field. We show that any Betti sequence of an ideal with linear resolution appears as the Betti sequence of the circuit ideal of such a chordal clutter. Associated with any simplicial order is a sequence of integers which we call the \(\lambda \)-sequence of the chordal clutter. All possible \(\lambda \)-sequences are characterized. They are intimately related to the Hilbert function of a suitable standard graded K-algebra attached to the chordal clutter. By the \(\lambda \)-sequence of a chordal clutter, we determine other numerical invariants of the circuit ideal, such as the \(\mathbf h \)-vector and the Betti numbers.     

Synthesis and Characterization of a New Thallium(I) Coordination Polymer of Tetrazolate Ligand as Precursor for Preparation of Thallium(III) Oxide Nanoparticles

A new thallium(I) coordination polymer, [Tl₂L · H₂O]_n ( 1 ) [H₂L = 5‐(4‐hydroxyphenyl)tetrazole], was synthesized and characterized by IR spectroscopy, elemental analysis, and X‐ray crystallography. The single‐crystal X‐ray diffraction data of compound 1 show the existence of two different Tl^I ions with differing coordination numbers. The coordination number of Tl^I(1) is four and that of Tl^I(2) is two. This coordination polymer was used as a precursor for the preparation of Tl^III oxide nanoparticles. Thallium(III) oxide was characterized by powder X‐ray diffraction and the morphology of nanoparticles characterized by scanning electron microscope (SEM).     

Synthesis and characterization of four new thallium(I) tetrazole supramolecular compounds with various secondary interactions; new precursors for thallium(III) oxide nano-particles

Four new thallium(I) coordination polymers, [TlBt](n) (1) (Hbt = 5-phenyltetrazole), [TlBbt] (2) (Hbbt = 5-(4-bromobenzyl)tetrazole), [Tl(2)Bdt](n) (3) (H(2)bdt = 5,5'-benzene-1,4-diylbistetrazole), [Tl(2)Pht·H(2)O](n) and [TlBet] (4), (Hbet = 5-(benzyl)tetrazole) have been synthesized and characterized. The single-crystal X-ray data shows that, in compounds 1-3, the coordination sphere of the Tl(I) ion is the same and it is surrounded with six tetrazolate rings. In compound 4, one thallium atom has three interactions with tetrazolate groups and close Tl(I)···π (aromatic) contacts with the phenyl ring. Furthermore, in all cases the single-crystal X-ray data show the same stereo-chemical activity of the valence shell electron lone pair of Tl(I). There is a strong Tl(I)···Tl(I) interaction in one dimension in compounds 1 and 3. All these four compounds have been used as new precursors for the preparation of thallium(III) oxide nano-particles through a simple calcination method. Thallium(III) oxide was characterized by powder XRD diffraction and the morphology of nano particles characterized by scanning electron microscope (SEM).