New Analysis from the Strength of Materials of Sauerbrey's Equation Concerning the Quartz Crystal Microbalance

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Published 9 May 2006 Copyright (c) 2006 The Japan Society of Applied Physics
, , Citation Rie Higuchi and Yoshinori Kanno 2006 Jpn. J. Appl. Phys. 45 4232 DOI 10.1143/JJAP.45.4232

1347-4065/45/5R/4232

Abstract

We proposed an equation formulating the relationship between the resonant frequency of a quartz crystal and the mass loading. The equation developed by Sauerbrey concerning quartz crystal microbalance (QCM) was improved by a new approach based on the mechanical strength of materials. This equation is seemingly trivial but greatly improves the accuracy with respect to the frequency-mass relationship to frequency shifts of 10% or more in the case of selected materials. Methods to treat the effects of crystal mounting and non-uniformity of deposited films are elucidated.

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10.1143/JJAP.45.4232