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RISS 인기검색어
- 검색키워드
- 저자 : A. S. Hendy (검색결과 4 건)
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Specific ion binding influences on surface potential of chromium oxide
A. N. Parbhu,J. Soltis,L. Q. Chen,J. Atkin,S. Hendy 한국물리학회 2004 Current Applied Physics Vol.4 No.2-4
Colloidal force measurements as a function of pH can yield the isoelectric point (IEP) of a surface immersed in an electrolyte. Thecondition of surface charge-potential regulation imposed by the potential-dependent binding of Hþ and counter-ions at the interfacemakes a detailed analysis of the electrostatic force non-trivial. In the current study, the specic ion binding of phosphate ions on tochromium oxide has been investigated. An atomic force microscope (AFM) has been used to measure the force of interactionbetween a SiO2 sphere (. 5 m diameter) and a chromium oxide surface in aqueous media of sodium phosphate buer or sodiumchloride over the pH range 311. From the force separation proles the force at.Jump To’ is plotted over the pH range studied foreach ionic strength. As the IEP of SiO2 is around pH 2 the probe interaction with the surface measures its electrostatic properties,and hence can be used to determine the IEP. The comparison of force titration plots shows the IEP of the chrome surface decreaseswith increasing phosphate ion concentration, from around pH 8 with no phosphate ions present, down to around pH 6 at 0.01 Mionic strength phosphate buer. This indicates that there is specic ion binding of the phosphate to the chrome oxide surface. Wehave used approach of DLVO theory, together with a simple model of specic adsorption of ions at the oxidewater interface, tomodel the long range electrostatic repulsion force measured by the force separation plots at each pH and ionic strength. Bycomparing this model to the isoelectric points at several ionic strengths, we can estimate surface dissociation constants for theadsorption of protons and phosphate from the electrolyte.
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Fractional Chebyshev finite difference method for solving the fractional BVPs
M. M. Khader,A. S. Hendy 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.1
In this paper, we introduce a new numerical technique which we call fractional Chebyshev finite difference method (FChFD). The algorithm is based on a combination of the useful properties of Chebyshev polynomials approximation and finite difference method. We tested this technique to solve numerically fractional BVPs. The proposed technique is based on using matrix operator expressions which applies to the differential terms. The operational matrix method is derived in our approach in order to approximate the fractional derivatives. This operational matrix method can be regarded as a non-uniform finite difference scheme. The error bound for the fractional derivatives is introduced. The fractional derivatives are presented in terms of Caputo sense. The application of the method to fractional BVPs leads to algebraic systems which can be solved by an appropriate method. Several numerical examples are provided to confirm the accuracy and the effectiveness of the proposed method.
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Electron microscopy of bismuth building blocks for self-assembled nanowires
K.J. Stevens,K.S. Cheong,D.M. Knowles,N.J. Laycock,A. Ayesh,J. Partridge,S.A. Brown,S.C. Hendy 한국물리학회 2006 Current Applied Physics Vol.6 No.3
Nanowires can be fabricated from bismuth nanoclusters. The structure of bismuth nanoclusters of 4060 nm diameter has beenobserved by high resolution transmission electron microscopy (HRTEM) and matched to multislice image simulations forB=[. 2,0, . 1] andB= [1,0,. 1,0]. The hexagonal structure matches that of bulk bismuth embedded in a 5 nm thick shell ofb-Bi2O3.
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FRACTIONAL CHEBYSHEV FINITE DIFFERENCE METHOD FOR SOLVING THE FRACTIONAL BVPS
Khader, M.M.,Hendy, A.S. The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.1
In this paper, we introduce a new numerical technique which we call fractional Chebyshev finite difference method (FChFD). The algorithm is based on a combination of the useful properties of Chebyshev polynomials approximation and finite difference method. We tested this technique to solve numerically fractional BVPs. The proposed technique is based on using matrix operator expressions which applies to the differential terms. The operational matrix method is derived in our approach in order to approximate the fractional derivatives. This operational matrix method can be regarded as a non-uniform finite difference scheme. The error bound for the fractional derivatives is introduced. The fractional derivatives are presented in terms of Caputo sense. The application of the method to fractional BVPs leads to algebraic systems which can be solved by an appropriate method. Several numerical examples are provided to confirm the accuracy and the effectiveness of the proposed method.
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