2020
DOI: 10.1038/s41598-020-72097-1
|View full text |Cite
|
Sign up to set email alerts
|

Simple analytical method for determining electrical resistivity and sheet resistance using the van der Pauw procedure

Abstract: This work reports an analytical method for determining electrical resistivity (ρ) and sheet resistance (RS) of isotropic conductors. The method is compared with previous numerical solutions and available experimental data showing a universal behavior for isotropic conductors. An approximated solution is also reported allowing one to easily determine ρ and RS for samples either with regular or arbitrary shapes.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
20
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
9
1

Relationship

0
10

Authors

Journals

citations
Cited by 49 publications
(20 citation statements)
references
References 48 publications
0
20
0
Order By: Relevance
“…Pauw procedure [17] 𝜌 ≅ 𝜋𝑑𝑅 ln2 , (8) where 𝑑 is the thickness of the sample (5 − 10 μm) and 𝑅 is the measured resistance (1 − 2 Ω)…”
Section: Methods and Resultsmentioning
confidence: 99%
“…Pauw procedure [17] 𝜌 ≅ 𝜋𝑑𝑅 ln2 , (8) where 𝑑 is the thickness of the sample (5 − 10 μm) and 𝑅 is the measured resistance (1 − 2 Ω)…”
Section: Methods and Resultsmentioning
confidence: 99%
“…For the sake of qualitative evaluation of electrical conductivity and mobility between samples prepared with magnetic alignment and without, we applied a recently demonstrated analytical solution for the VDP method. 46 where R s is sheet resistance in Ω/□, R 1 and R 2 are characteristic resistances between the pairs of four contacts in Ω , 47 and H 1 is a dimensionless geometric parameter, which can be expressed as; L 2 / L 1 is the ratio between the equivalent length and width of the conformal transformation of a sample with arbitrary shape into a particular parallelepiped sample.…”
Section: Resultsmentioning
confidence: 99%
“…The scheme of measurement with the four-probe method is given in Figure 1. Equation ( 1) was used to obtain sheet resistance R (in Ω/□) of the copper coatings on both sides [39,40]:…”
Section: Characterization Of Cu Coatingsmentioning
confidence: 99%