[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)
[2] E. Kucys, Galvanomagnetic Effects and Investigation Methods
(Radio i Svyaz, Moscow, 1992) [in Russian]
[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