[PDF]    http://dx.doi.org/10.3952/lithjphys.45501

Open access article / Atviros prieigos straipsnis

Lith. J. Phys. 45, 333–338 (2005)


VAN DER PAUW METHOD APPLICATION FOR ANISOTROPICALLY CONDUCTIVE MEDIUM
J. Kleizaa and V. Kleizab
aVilnius Gediminas Technical University, Saulėtekio 11, LT-10223 Vilnius, Lithuania
E-mail: kleiza@mail.tele2.lt
bKaunas Technology University, Panevėžys Institute, Klaipėdos 1, LT-35209 Panevėžys, Lithuania
E-mail: vytautas.kleiza@ktl.mii.lt

Received 17 August 2005

The paper deals with the ways of finding an electrical conductivity tensor of a plane and anisotropically conductive sample. Application of the van der Pauw method to investigate the conductivity of anisotropically conductive media makes the basis of research. Several models of distribution of the electric field potential are presented, their merits and demerits are discussed, and the necessary physical measurements are indicated. On the basis of these models, the respective calculation expressions of the specific conductivity tensor are derived and algorithms for their realization and error calculation are developed.
Keywords: anisotropic media, electrical conductivity, current flow, measurements
PACS: 06.20.Dk, 02.60.Cb


VAN DER PAUW METODO TAIKYMAS ANIZOTROPIŠKAI LAIDŽIAI TERPEI
J. Kleizaa, V. Kleizab
aVilniaus Gedimino technikos universitetas, Vilnius, Lietuva
bKauno technologijos universito Panevėžio institutas, Panevėžys, Lietuva

Darbas skirtas anizotropiškai laidžios terpės savitojo elektrinio laidumo tenzoriui rasti. Skirtingai nuo klasikinių būdų, kai naudojami keli bandiniai, parodoma, kad pagaminus vieną stačiakampio formos bandinį ir taikant van der Pauw metodą, ieškomą tenzorių galima apskaičiuoti pakankamai tiksliai.
Pateikiami keli potencialo pasiskirstymo bandinyje matematiniai modeliai ir atitinkami skaičiavimo algoritmai: pradedant paprasčiausiu, kai pakanka atlikti kelis aritmetinius veiksmus, iki didelio tikslumo, kuriems realizuoti būtina šiuolaikinė skaičiavimo technika.
Visais atvejais išsamiai analizuojamos gaunamų paklaidų vertės ir jų struktūra, nurodomi matavimai, reikalingi atliekant fizikinius bandymus.


References / Nuorodos


[1] L.J. van der Pauw, A method of measuring specific resistivity and Hall effect of discs of arbitrary shape, Philips Res. Rep. 13(1), 1–9 (1958)
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[3] J.F. Nye, Physical Properties of Crystals (Oxford University Press, London, 1964)
[4] W.L.V. Price, Extension of van der Pauw’s theorem for measuring specific resistivity in discs of arbitrary shape to anisotropic media, J. Phys. D 5, 1127–1132 (1972),
http://dx.doi.org/10.1088/0022-3727/5/6/315
[5] V. Kleiza and J. Kleiza, Method of calculation of conductivity tensor, Dokl. Akad. Nauk SSSR [Sov. Phys. Dokl.] 325(4), 711–715 (1992)
[6] Y. Sun, O. Ehrmann, J. Wolf, and H. Reichl, The correction factors and their new curve for the measurement of sheet resistance of a square sample with a square four point probe, Rev. Sci. Instrum. 63(7), 3752–3762 (1992),
http://dx.doi.org/10.1063/1.1143608