Resistivity determination from small crystallites

S. Hyun, Michael Thorpe, M. Jaeger, B. Golding, A. Day

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We determine the resistivity of small micrometer-sized conductors with arbitrary shapes. It is shown that with (Formula presented) terminals attached to the sample, there are (Formula presented) independent measurements of the resistance that can be made; from which the sample resistivity and the contact resistances can be extracted. An image of the sample is digitized and a finite element analysis is used to determine the geometrical factors that arise from the nonuniform current flow and hence control the resistance measurements. It is shown that all the elements of the resistance matrix for the sample are generated from the diagonal elements alone for an Ohmic sample, which provide a useful check of the experimental resistance measurements. To illustrate this approach, micrometer-sized diamond crystallites with four terminals were used, and the sample resistivity and the contact resistances extracted. This technique is a practical example of an inverse problem.

Original languageEnglish (US)
Pages (from-to)6697-6705
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume57
Issue number11
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

Fingerprint

Crystallites
crystallites
Contact resistance
electrical resistivity
Diamond
contact resistance
Inverse problems
micrometers
Diamonds
Finite element method
conductors
diamonds
matrices

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Resistivity determination from small crystallites. / Hyun, S.; Thorpe, Michael; Jaeger, M.; Golding, B.; Day, A.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 57, No. 11, 01.01.1998, p. 6697-6705.

Research output: Contribution to journalArticle

Hyun, S. ; Thorpe, Michael ; Jaeger, M. ; Golding, B. ; Day, A. / Resistivity determination from small crystallites. In: Physical Review B - Condensed Matter and Materials Physics. 1998 ; Vol. 57, No. 11. pp. 6697-6705.
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