Resonators for Graphene Measurements
Cross section of the resonator for graphene measurements
Table1: Parameters of the resonator for measurements of graphene
Measured parametre Surface resistance R of graphene layer
Range of measured surface resistance R 0.1 Ω to 10000 Ω
Accuracy of measurement of the surface resistance of a graphene layer of thickness h ± 5%
Operational frequency 13 GHz
Dimensions of dielectric substrate Lateral dimensions 10 mm x 10 mm, thickness <0.5 mm. Upon a special request it is possible to extend the lateral dimensions of the substrates.
Additional equipment needed to perform measurement Vector Network Analyser
Measurement procedure Resonant frequency and Q - factor of the empty resonator and the resonator with the graphene layer deposited on the dielectric substrate are measured. Dedicated software application (supplied with the resonator) is used to calculate the surface resistance R of the graphene layer. The electric conductivity of the graphene layer of thickness his calculated using the following formula:
σ = 1/(R*h)
The accuracy of calculation of the electric conductivity is proportional to the accuracy of the measurement of the thickness of the deposited graphene layer.
Recent publications
about the measurement method
J. Krupka and W. Strupinski, Measurements of the sheet resistance and conductivity of thin epitaxial graphene and SiC filmsApplied Physics Letters, vol. 96, 2010.
J. Krupka, W. Strupinski, and N. Kwietniewski, Microwave conductivity of very thin graphene and metal filmsJournal of Nanoscience and Nanotechnology, Vol. 11, 1-5, 2011.