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A simple model for the effect of nonuniform mass loading on the response of gravimetric chemical sensors

Titelangaben

Fischerauer, Gerhard ; Dickert, Franz L.:
A simple model for the effect of nonuniform mass loading on the response of gravimetric chemical sensors.
In: Sensors and Actuators B: Chemical. Bd. 229 (28 Juni 2016) . - S. 618-626.
ISSN 0925-4005
DOI: https://doi.org/10.1016/j.snb.2016.01.070

Angaben zu Projekten

Projektfinanzierung: Bayerisches Staatsministerium für Wissenschaft, Forschung und Kunst

Abstract

We reconsider the effects of nonuniform mass loading in gravimetric chemical or biological sensors by applying a mode-matching approach. The approach yields an eigenvalue equation which is solved numerically. The results reveal how an increasing concentration of the mass deposited on top of a microacoustic resonator leads to a frequency shift different from that predicted by the Sauerbrey equation valid for uniform mass loading. Depending on the mode type and the mass distribution, a nonuniform mass loading can lead to a frequency shift higher or lower than that of the uniform loading case. We then derive a point-mass solution which can be considered exact in all practical applications and compare it to available data in the literature. The point-mass solution is used to obtain a closed formula for the frequency shift produced by an arbitrary nonuniform mass loading, and some consequences of this formula are discussed. Altogether, the model presented is quite simple and yet allows one to judge the effects of nonuniform mass loading in gravimetric sensors very efficiently.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Keywords: Gravimetric chemical sensors; SAW; QCM; nonuniform mass loading; mode matching; Green's function
Institutionen der Universität: Fakultäten > Fakultät für Ingenieurwissenschaften > Lehrstuhl Mess- und Regeltechnik > Lehrstuhl Mess- und Regeltechnik - Univ.-Prof. Dr.-Ing. Gerhard Fischerauer
Profilfelder > Emerging Fields > Energieforschung und Energietechnologie
Fakultäten
Fakultäten > Fakultät für Ingenieurwissenschaften
Fakultäten > Fakultät für Ingenieurwissenschaften > Lehrstuhl Mess- und Regeltechnik
Profilfelder
Profilfelder > Emerging Fields
Titel an der UBT entstanden: Ja
Themengebiete aus DDC: 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Eingestellt am: 19 Feb 2016 06:37
Letzte Änderung: 19 Feb 2016 06:37
URI: https://eref.uni-bayreuth.de/id/eprint/30863