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297 results on '"Danielewski, Marek"'

9. Competition between Chemical and Gravity Forces in Binary Alloys

Author

Wierzba Bartek, Mashimo Tsutomu, and Danielewski Marek

Subjects
cu-sn system, growth kinetics, sedimentation, Technology, Chemical technology, TP1-1185, Chemicals: Manufacture, use, etc., TP200-248
Abstract

We present the first experimental results of the growth of Cu6Sn5 and Cu3Sn under an external force field – during the sedimentation process. The results are compared with the proposed model under the combined influence of the Kirkendall effect, backstress and sedimentation. It is shown that Cu3Sn consumes the preformed Cu6Sn5 phase during sedimentation under a strong gravitational field of 779,000 G at 200 °C.

Published
2018
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20. Diffusion in Cauchy Elastic Solid

Author

Danielewski, Marek and Sapa, Lucjan

Subjects
diffusion equation, Cauchy elastic solid, Schrödinger equation, quaternions, Planck-Kleinert crystal, ddc:530
Abstract

It is commonly accepted that a starting point of the science of diffusion is the phenomenological diffusion equation postulated by German physiologist Adolf Fick inspired by experiments on diffusion by Thomas Graham and Robert Brown. Fick’s diffusion equation has been interpreted decades later by Albert Einstein and Marian Smoluchowski. Here we will show that the theory of diffusion has its elegant mathematical foundations formulated three decades before Fick by French mathematician Augustin Cauchy (~1822). The diffusion equation is straightforward consequence of his model of the elastic solid - the classical balance equations for isotropic, elastic crystal. Basing on the Cauchy model and using the quaternion algebra we present a rigorous derivation of the quaternion form of the diffusion equation. The fundamental consequences of all derived equations and relations for physics, chemistry and the future prospects are presented.

Published
2021

24. Time-dependent phenomena in the potential response of ion-selective electrodes treated by the Nernst-Planck-Poisson model. Part 2: transmembrane processes and detection limit

Author

Sokalski, Tomasz, Kucza, Witold, Danielewski, Marek, and Lewenstam, Andrzej

Subjects
Electrodes, Ion selective -- Models, Electrodes, Ion selective -- Properties, Chemistry
Abstract

The detection limit of ion-selective electrodes (ISEs) is of great interest because of the many possible practical applications of ISEs in trace analysis. Existing theoretical interpretations of the detection limit of ISEs are restricted by severe assumptions such as steady-state and electro-neutrality, which hamper theorizing on this problem. For this reason, the Nernst--Planck--Poisson (NPP) equations are used to predict and visualize the detection limit variability under nonequilibrium conditions. For the first time, the NPP model is applied to the so-called inverse problem: finding the optimal measurement time and inner solution concentration for lowering the detection limit.

Published
2009

42. Diffusion in Materials - DIMAT2004

Author

Danielewski, Marek, primary, Filipek, Robert, additional, Abdank-Kozubski, Rafal, additional, Kucza, Witold, additional, Zięba, Paweł, additional, and Żurek, Zbigniew, additional

Published
2005
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50. Chemical interdiffusion in binary systems; interface barriers and phase competition.

Author

Danielewski, Marek, Wierzba, Bartek, Gusak, Andriy, Pawełkiewicz, M., and Janczak-Rusch, J.

Subjects
*DIFFUSION, *BINARY number system, *LATTICE theory, *THERMAL diffusivity, *EQUILIBRIUM, *MOLECULAR volume, *STOICHIOMETRY
Abstract

The problem of simultaneous growth and competition of intermediate phases during reactive diffusion is formulated and solved. In this paper, we compare existing models of steady state reaction diffusion and introduce the new one basing on the bi-velocity method. We extend old problem and propose method based on material (lattice) fixed frame of reference. It allows computing the material velocity in the reacting system in which reactions at several moving interfaces occur. All reactions lead to the lattice shift due to the difference of intrinsic diffusivities and different molar volumes. The following peculiarities are taken into account: (1) the deviation from local equilibrium at all interfaces; (2) the mobilities of the components in the bulk and interphase zone; and (3) the molar volumes of the components. We show the kinetic of the reactions, the non parabolic regime, the multiphase scale growth and present the practical application of the method. [ABSTRACT FROM AUTHOR]

Published
2011
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