The Extension of the Van Der Pauw Method to Anisotropic Media

Kleiza, Jonas; Sapagovas, Mifodijus; Kleiza, V.

doi:10.15388/informatica.2007.175

Cited by 8 publications

(8 citation statements)

References 9 publications

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“…In our study, the Van Der Pauw geometry was implemented. It does not allow probing of the conduction anisotropy without some specific configuration of the contacts [38] since the method is based on reciprocal measurements. As a result, conduction anisotropy can not be brought to the fore with a conventional method.…”

Section: Resultsmentioning

confidence: 99%

A theoretical model for the electrical properties of chromium thin films sputter deposited at oblique incidence

Besnard¹,

Martin²,

Carpentier³

et al. 2011

J. Phys. D: Appl. Phys.

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Chromium thin films are prepared by magnetron sputtering using the GLancing Angle Deposition (GLAD) method. The electrical conductivity of the films exhibiting an inclined columnar structure is investigated. An analytical three dimensional model is proposed in order to predict the evolution of the electrical conductivity as a function of the columns orientation. This model is based on two types of electron scattering mechanisms, which are simultaneously operational: the isotropic background scattering at the grain boundary and the scattering due to electron dispersion at the column boundary. The developed analytical expressions enable systematic studies of different process and film parameters, especially the column angle β as well as the sputtering pressure used during the GLAD deposition. The theoretical and experimental results are compared. It is found that the column angle β must reach a threshold value to significantly reduce the electrical conductivity of chromium thin films close to one order of magnitude. The effect of the sputtering pressure on the films

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Section: Resultsmentioning

confidence: 99%

A theoretical model for the electrical properties of chromium thin films sputter deposited at oblique incidence

Besnard¹,

Martin²,

Carpentier³

et al. 2011

J. Phys. D: Appl. Phys.

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“…The annealing dependence of orthogonal DC electrical resistivities ρ xx and ρ yy at 473 K and anisotropic coefficient A calculated from equation (5) of titanium stack films. The conduction anisotropy is especially emphasized from the 8 th cycle, which corresponds to an annealing temperature close to 800 K.…”

Section: Figurementioning

confidence: 99%

“…In order to get electronic transport properties in such anisotropic thin films, components of the resistivity tensor have to be determined. For this purpose, the theory of the vdP method has been extended [2][3][4][5]. Price [6] showed that the method may be applied to anisotropic materials provided that one of the principal axes of the resistivity tensor is perpendicular to the plane of the sample.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic electrical resistivity during annealing of oriented columnar titanium films

2013

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International audienceWe report on the evolution of anisotropic electrical resistivity versus temperature of titanium thin films. An oriented titanium film (1 μm thick) is sputter deposited by GLancing Angle Deposition (GLAD) using an incident angle α = 80° of the particle flux. Two parallel Ti electrodes cover this GLAD film. We measure the components of the conductivity tensor by the van der Pauw method during an annealing treatment in air ranging from 298 to 873 K. The average DC electrical resistivity ρ changes from 6.03×10-6 to more than 2.40×10-1 Ωm with the increasing temperature. The anisotropy ratio is A = 1.39 before annealing and reaches 12.4 for the highest temperatures. This enhanced anisotropy is interpreted assuming the oxidation of the porous GLAD titanium film

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“…The computational modelling is applied in various scientific areas, i.e. the modelling of blood glucose dynamics (Basov and Švitra, 2000), anisotropic media (Kleiza et al, 2007), moisture diffusion in wood (Baronas et al, 2002) and others. For almost half a century the mathematical modelling was also used to investigate the behaviour of the biosensors (Mell and Malloy, 1975;Schulmeister, 1990).…”

Section: Introductionmentioning

confidence: 99%

Computational Modeling of Bienzyme Biosensor with Different Initial and Boundary Conditions

2013

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Two mathematical models of an amperometric bienzyme biosensor are analysed digitally. The models hold different boundary conditions describing the singularity of the electrode (transducer). The influence of the initial and boundary conditions on the biosensors action at different sets of parameters is analysed.The digital simulation at the transient and steady-state conditions was carried out by using finite difference technique. The comparison of the simulation results revealed that some of the calculated parameters, i.e. response and sensitivity is the same, while the others, i.e. half-time of the steadystate is significantly different for distinct models.

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The Extension of the Van Der Pauw Method to Anisotropic Media

Cited by 8 publications

References 9 publications

A theoretical model for the electrical properties of chromium thin films sputter deposited at oblique incidence

A theoretical model for the electrical properties of chromium thin films sputter deposited at oblique incidence

Anisotropic electrical resistivity during annealing of oriented columnar titanium films

Computational Modeling of Bienzyme Biosensor with Different Initial and Boundary Conditions

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