ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD

ＯＮＴＨＥＢＯＵＮＤＥＤＮＥＳＳＡＮＤＴＨＥＳＴＡＢＩＬＩＴＹＲＥＳＵＬＴＳＦＯＲＴＨＥＳＯＬＵＴＩＯＮＯＦＣＥＲＴＡＩＮＦＯＵＲＴＨＯＲＤＥＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＶＩＡＴＨＥＩＮＴＲＩＮＳＩＣＭＥＴＨＯＤＣｅｍｉｌＴＵＮＣ;Ａ...     

Determination of mineral element concentrations in wheat,sunflower, chickpea and lentil cultivars in response to P fertilization by polarized energy dispersive X‐ray fluorescence

Concentrations of elements (P, K, S, Ca, Mg, Si, Cl, Fe, Zn, Cu, Mn, Mo, Na, Al, Ti, Ni, Ba, As, Br, Rb and Sr) of wheat, sunflower, chickpea and lentil cultivars grown in low and high phosphorus soil were investigated by polarized energy dispersive X‐ray fluorescence (PEDXRF). The phosphorus treatment x cultivars interaction was significant for the growth and element concentrations, and cultivars within plant species differed considerably with respect to element concentrations as the result of P fertilization. Shoot growth of the cultivars of each plant species was increased in response to phosphorus fertilization. Application of P increased the P concentrations of wheat, sunflower, chickpea and lentil cultivars. Under high P conditions, mean K concentrations of wheat and sunflower cultivars were decreased while the mean K concentrations of chickpea and lentil were increased. With the exception of sunflower cultivars, applied P significantly increased S concentration of the cultivars of wheat, chickpea and lentil. Calcium concentrations of wheat and sunflower cultivars were reduced by P fertilization and that of chickpea and lentil were increased. Applied P decreased mean Mg concentrations in sunflower, increased in chickpea and lentil cultivars and showed no effects on the wheat cultivars. Applied P significantly decreased mean Si concentrations of wheat and sunflower while mean Si concentrations of the chickpea and lentil cultivars were increased. Chloride concentrations of the wheat and sunflower cultivars were decreased and those of the chickpea and lentil cultivars were increased by applied P. In general, Fe concentrations of the wheat and chickpea cultivars were significantly increased by applied P. Zinc and Cu concentrations of all the cultivars of the four plant species were reduced by P, particularly Zn concentrations. However, applied P increased mean Mn concentrations of wheat and chickpea and decreased those of chickpea cultivars. Mean Mo concentrations of wheat and chickpea increased but decreased in sunflower and lentil cultivars. In general, applied P increased mean Na concentration of wheat and decreased that of chickpea and lentil. Aluminum concentrations of wheat and chickpea cultivars were decreased by applied P. Applied P decreased Ti concentrations of wheat and sunflower cultivars and increased Ti concentrations of chickpea and lentil. Nickel concentrations of wheat and chickpea were increased and those of sunflower and lentil were decreased by applied P. Applied P reduced the Ba and increased As and Rb concentrations of all the cultivars within the plant species. Bromine concentrations of wheat and lentil were decreased and those of sunflower and chickpea were increased by applied P. Finally, Sr concentrations in wheat and sunflower cultivars were reduced, and increased in chickpea cultivars with applied P. Copyright © 2009 John Wiley & Sons, Ltd.     

Exact solution and dynamic buckling analysis of a beam-column system having the elliptic type loading

This paper presents a closed form solution to the dynamic stability problem of a beam-column system with hinged ends loaded by an axial periodically time-varying compressive force of an elliptic type,i.e.,a1cn 2（τ,k 2）＋a2sn 2（τ,k 2）＋a3dn 2（τ,k 2）.The solution to the governing equation is obtained in the form of Fourier sine series.The resulting ordinary differential equation is solved analytically.Finding the exact analytical solutions to the dynamic buckling problems is difficult.However,the availability of exact solutions can provide adequate understanding for the physical characteristics of the system.In this study,the frequency-response characteristics of the system,the effects of the static load,the driving forces,and the frequency ratio on the critical buckling load are also investigated.     

A nonstandard numerical method for the modified KdV equation

A linearly implicit nonstandard finite difference method is presented for the numerical solution of modified Korteweg–de Vries equation. Local truncation error of the scheme is discussed. Numerical examples are presented to test the efficiency and accuracy of the scheme.     

Silica Gel-Immobilized 5-aminoisophthalohydrazide: A novel sorbent for solid phase extraction of Cu,Zn and Pb from natural water samples

A novel silica sorbent, silica gel-immobilized 5-aminoisophthalohydrazide (SiO₂-APH), was prepared by the condensation of 3-chloropropyl-functionalized silica gel with 5-aminoisophthalohydrazide (APH) derived from dimethyl 5-aminoisophthalate as a starting material and used for separation and preconcentration of Cu, Zn, and Pb metals in water samples using Flame Atomic Absorption Spectrometry (FAAS). The characterization of the new sorbent was carried out by Elemental Analysis, Thermogravimetric Analysis (TGA) and Fourier Transform Infrared Spectroscopy (FTIR). Important analytical parameters including as pH, amount of sorbent, type and amount of eluting solvent, sample volume, vortex and ultrasonic bath time, matrix ions that effect the developed SiO₂-APH-solid phase extraction (SPE) method were investigated and optimum parameters were detected. Recoveries of examined metals were obtained as 98% for Cu and Pb and 101% for Zn. The relative standard deviation (RSD, n = 8) of Cu, Zn and Pb metals were 3.2, 2.8 and 1.6%, respectively. Limit of detections (LODs) (n = 10) were found as 2.7 μg L⁻¹ for Cu, 7.4 μg L⁻¹ for Zn and 3.5 μg L⁻¹ for Pb μg L⁻¹. The accuracy of the new method was assessed by analyzing of TMDA-51.4 and TMDA-70.2 certified reference materials. The results obtained for metals were in a good agreement with certified values. Addition/recovery test was applied to the real well, river, dam and stream water samples to check the accuracy of the method. The results showed that the developed SiO₂-APH-SPE method can be effectively used as an alternative method for determination of Cu, Zn, and Pb metals in water samples.     

Erratum to: Simultaneous High-Performance Thin-Layer Chromatographic Determination of Indole Acetic Acid,Indole Butyric Acid,and Absisic Acid in in vitro Seedling of Watermelon Exposed to Heavy Metals

JPC – Journal of Planar Chromatography – Modern TLC - Simultaneous High-Performance Thin-Layer Chromatographic Determination of Indole Acetic Acid, Indole Butyric Acid, and Absisic Acid...     

Polymer/clay nanocomposites through multiple hydrogen‐bonding interactions

An 2‐ureido‐4[1H]pyrimidinone (UPy) motif with self‐association capability (through quadruple hydrogen bonds) was successfully anchored onto montmorillonite clay layers. Polymer/clay nanocomposites were prepared by specific hydrogen bonding interactions between surface functionalized silica nanoclays and UPy‐bonded supramolecular poly(ethylene glycol) or poly(?‐caprolactone). The mixed morphologies including intercalated layers with a non‐uniform separation and exfoliated single layers isolated from any stack were determined by combined X‐ray diffraction and transmission electron microscopic measurements. Thermal analyses showed that all nanocomposites had higher decomposition temperatures and thermal stabilities compared with neat polymer. The differential scanning calorimetric data implied that the crystallinity of polymers did not show essential changes upon introduction of organomodified UPy clays. © 2014 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2015 , 53, 650–658     

Quantum shape effects and novel thermodynamic behaviors at nanoscale

Thermodynamic properties of confined systems depend on sizes of the confinement domain due to quantum nature of particles. Here we show that shape also enters as a control parameter on thermodynamic state functions. By considering specially designed confinement domains, we demonstrate how shape effects alone modify Helmholtz free energy, entropy and internal energy of a confined system. We propose an overlapped quantum boundary layer method to analytically predict quantum shape effects without even solving Schrödinger equation or invoking any other mathematical tools. Thereby we reduce a thermodynamic problem into a simple geometric one and reveal the profound link between geometry and thermodynamics. We report also a torque due to quantum shape effects. Furthermore, we introduce isoformal, shape preserving, process which opens the possibility of a new generation of thermodynamic cycles operating at nanoscale with unique features.