Factorial design and response surface optimization of spectrophotometric sequential injection analysis of olanzapine formulations

A new spectrophotometric sequential injection analysis (SIA) method for the assay of olanzapine in pharmaceutical formulations was optimized by the factorial design and the response surface approaches. The method was based on the oxidation of olanzapine by an excess amount of permanganate in sulfuric acid media. The reduction of permanganate was spectrophotometrically detected at 570 nm. The 2³ full factorial design was adopted for the optimization of permanganate concentration, sulfuric acid concentration and flow rate. The method was validated based on the IUPAC guidelines. Real pharmaceutical samples were subjected to the proposed SIA method and the results were in satisfactory agreement with those obtained by a previous spectrophotometric method. The full-automation of SIA empowered the proposed method with high repeatability (RSD 1.74%, n = 7) and intermediate-precision (RSD 2.53%, n = 5). Additionally, both automation and miniaturization offered high sampling frequency (26 samples/h). Furthermore, the employment of chemometric optimization enhanced sensitivity of the method with limits of detection and quantification of 1.07 and 3.57 mg/L, respectively. Comparing with previous olanzapine assay methods, which employing conventional analytical techniques, the new SIA method is inexpensive in terms of instrumentation, consumption of reagents and samples as well as effort and manpower. The SIA method is also safer for handling solutions and for the environment.     

The (Lp, Lq) bilinear Hardy-Littlewood function for the tail

Let (X, B, μ, T) be a measure preserving dynamical system on a finite measure space. Consider the maximal function

Double Series Identity and Some Laurent Type Hypergeometric Generating Relations

The main aim of this article is to obtain certain Laurent type hypergeometric generating relations. Using a general double series identity, Laurent type generating functions(in terms of Kampéde Fériet double hypergeometric function) are derived. Some known results obtained by the method of Lie groups and Lie algebras, are also modified here as special cases.     

Extension of Wiener-Wintner double recurrence theorem to polynomials

We extend our result on the convergence of double recurrence Wiener-Wintner averages to the case of a polynomial exponent. We show that there exists a unique set of full measure for which the averages

$$\frac{1}{N}\sum\limits_{n = 1}^N {{f_1}\left( {{T^{an}}x} \right){f_2}\left( {{T^{bn}}x} \right)\phi \left( {p\left( n \right)} \right)} $$

converge for all polynomials p with real coefficients and all complex-valued continuous functions ? on the unit circle T. We also show that if either function belongs to an orthogonal complement of an appropriate Host-Kra-Ziegler factor that depends on the degree of the polynomial p, the averages converge to 0 uniformly for all polynomials. This paper combines the authors’ previously announced work.

     

Two strong emitting coordination polymers with chain and ladder structures

Two coordination polymers [Zn(Cabo)₂(EtOH)₂(4,4-Bipy)] _n (1), and [Zn₂(Cabo)₂(NO₃)₂(4,4-Bipy)₂] _n (2) (Cabo = carbazolylacetate, 4,4-Bipy = 4,4-bipyridine) with chain and ladder structures, respectively, were prepared and characterized by X-ray single-crystal structural analysis. The results showed that the different anions of metal salts have a large effect on the construction of coordination frameworks. Both complexes show strong emissions in the solid state as well as high thermal stability.     

11‐Methyl‐12a‐phenyl‐9a,12a‐di­hydro­phenanthro­[9′,10:5,6][1,4]­dioxino­[2,3‐d]­thia­zole

In the title compound, C₂₄H₁₇NO₂S, the dioxine and thia­zoline rings are distorted from planarity towards a half‐chair and an envelope conformation, respectively. The configurations of the dioxine ring, the thiazoline ring and the attached phenyl ring are conditioned by the sp³ state of the two bridgehead C atoms. The phenanthrene system is nearly coplanar with the dioxine ring, while the attached phenyl ring is orthogonal to the thia­zoline ring.     

Development of a stability-indicating capillary electrophoresis method for norfloxacin and its inactive decarboxylated degradant

A simple, accurate, precise, rapid and sensitive stability-indicating capillary electrophoresis (CE) method was optimized and validated for the simultaneous determination of norfloxacin and its inactive decarboxylated degradant in pharmaceuticals. The univariant method was used to optimize electrophoretic factors including injection time, separation voltage and column temperature. Electrolyte concentration and pH were optimized using the factorial design and response surface methods. The optimum conditions obtained were: 10 mmol l^− 1 phosphate at pH 2.5, hydrodynamic injection time of 8 s at pressure 0.5 p.s.i., separation voltage 25 kV and column temperature 25 °C. The separation was carried out into a fused-silica capillary column (31.2 cm length × 50 μm i.d.) with detection at 301 and 285 nm for the intact drug and the degradant, respectively using a diode array detector. For both analytes, the method enjoys wide dynamic range (1-50 μg ml^− 1) with good detectability (limits of detection 0.11 μg ml^− 1). In addition, acceptable accuracy (recovery > 95%); and good repeatability and intermediate precision (RSD < 3.5%) were obtained.     

Hexa­methyl­enetetraminium 2,4,6‐tri­nitro­phenolate

In the title complex, the 1:1 ionic adduct of hexa­methyl­enetetraminium and 2,4,6‐tri­nitro­phenolate, C₆H₁₃N₄⁺·­C₆H₂N₃O₇^?, the cation acts as a donor for bifurcated hydrogen bonds to the O atoms of the phenolate and one of the nitro groups of the 2,4,6‐tri­nitro­phenolate anion. The crystal structure is built from sheets of cations and anions, and is stabilized by intermolecular C—H?O and C—H?π interactions.     

The ternary complex 4‐(2‐pyridyl)pyridinium–3,5‐di­nitro­benzoate–3,5‐di­nitro­benzoic acid (1/1/1)

In the title ternary complex, C₁₀H₉N₂⁺·C₇H₃N₂O₆^?·C₇H₄N₂O₆, the pyridinium cation adopts the role of the donor in an intermolecular N—H?O hydrogen‐bonding interaction with the carboxyl­ate group of the 3,5‐di­nitro­benzoate anion. The mol­ecules of the ternary complex form molecular ribbons perpendicular to the b direction, which are stabilized by one N—H?O, one O—H?O and five C—H?O intermolecular hydrogen bonds. The ribbons are further interconnected by three intermolecular C—H?O hydrogen bonds into a three‐dimensional network.     

Preparation, Crystal Structure and Properties of a Pentametallic 3-Ferrocenyl-2-crotonic acid-Bridged Copper（Ⅱ） Complex

The synthesis and characterization of the copper (II) complex [Cu₂(OOCCH = C(CH₃)Fc)₃(phen)₂]CIO₄ · 2H₂O (1) are reported. The structure of the complex was determined by single‐crystal X‐ray analysis. The compound crystallizes in the monoclinic system, space group Pc, with Z =2, a = 1.2799(4) nm, b =0.9969 (4) nm, c = 2.5228 nm, and β = 91.576 (1) °. The cationic part of 1 indicates a penametallic core in which three 3‐ferrocenyl‐2‐crotonic acid salt (FCA) groups act as (O, O') bridging ligands between two copper (II) ions with a square‐pyramidal environment. Cyclic voltammetric experiments in acetonitrile have been performed mainly to examine the Fe(II) → Fe(III) one‐electron oxidation in FCA and its complex. The variable‐temperature magnetic susceptibility measurements revealed very weak intramolecular anti‐ferromagnetic coupling. Fitting parameters are 2J = ‐0.2 cm^?1, g = 2.114, and θ = 0K.