Abstract
The QCM is an amazingly simple device. It consists of a disk of crystalline quartz. The acoustic resonances of this plate can be excited electrically because crystalline quartz is piezoelectric. The main application of quartz resonators is in time and frequency control. However, the resonance frequency and the resonance bandwidth depend on the resonator’s environment and the plate can therefore be used as a frequency-based sensor. The chapter gives a brief tour through the modeling process, mostly building on the parallel plate and emphasizing the small load approximation (SLA). Models beyond the parallel plate as well as refinements of the SLA are also discussed. The chapter concludes with an overview of applications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
http://de.wikipedia.org/wiki/Schwingquarz, Accessed 6 Feb 2013. The number of 4.5 billion USD includes all piezoelectric resonators (including tuneforks)
http://en.wikipedia.org/wiki/Crystal_oscillator, Accessed 6 Feb 2013
http://www.am1.us/Local_Papers/U11625%20VIG-TUTORIAL.pdf, Accessed 18 June 2014
Dava Sobel: Longitude: The True Story of a Lone Genius who Solved the Greatest Scientific Problem of His Time. Penguin, New York (1996)
http://www.technologyreview.com/view/418326/where-is-the-best-clock-in-the-universe/, Accessed 9 Feb 2013
Galliou, S., Goryachev, M., Bourquin, R., Abbe, P., Aubry, J.P., Tobar, M.E.: Extremely low loss phonon-trapping cryogenic acoustic cavities for future physical experiments. Sci. Rep. 3, 2132 (2013)
Nicholson, A.M.: Generating and transmitting electric currents U.S. Patent 2,212,845, filed Apr 10, 1918, granted Aug 27, 1940
http://en.wikipedia.org/wiki/Potassium_sodium_tartrate, Accessed 15 Feb 2013
Marrison, W.A.: The Crystal Clock. Nat. Acad. Sci. Proc. 16, 496–507 (1930)
Marrison, W.A.: The evolution of the quartz crystal clock. Bell Sys. Tech. J. 27, 510–588 (1948) (Reprint online)
Koga, I.: Thickness vibrations of piezoelectric oscillating crystals. Phys A J. Gen. App. Phys. 3(1), 70–80 (1932)
http://en.wikipedia.org/wiki/Pierce_oscillator, Accessed 15 Feb 2013
http://en.wikipedia.org/wiki/History_of_timekeeping_devices, Accessed 15 Feb 2013
http://www.ieee-uffc.org/main/history.asp?file=bottom, Accessed 15 Feb 2013
http://www.piezo.com/tech4history.html, Accessed 15 Feb 2013
Iwasaki, F., Iwasaki, H.: Historical review of quartz crystal growth. J. Cryst. Growth 237, 820–827 (2002)
For an overview see Piazza: G.; Felmetsger, V.; Muralt, P.; Olsson, R.H.; Ruby, R., Piezoelectric aluminum nitride thin films for microelectromechanical systems. MRS Bull. 37(11), 1051–1061 (2012)
Chen, D., Wang, J.J., Xu, Y., Li, D.H., Zhang, L.Y., Li, Z.X.: Highly sensitive detection of organophosphorus pesticides by acetylcholinesterase-coated thin film bulk acoustic resonator mass-loading sensor. Biosens. Bioelectron. 41, 163–167 (2013)
Nirschel, M.: Label-free Biosensors: Thin-film Bulk Acoustic Resonators: Theory and Application of FBARs for Biomolecular Interaction. Südwestdeutscher Verlag für Hochschulschriften (2012)
Wingqvist, G.: AlN-based sputter-deposited shear mode thin film bulk acoustic resonator (FBAR) for biosensor applications—A review. Surf. Coat. Technol. 205(5), 1279–1286 (2010)
Wingqvist, G., Bjurstrom, J., Liljeholm, L., Yantchev, V., Katardjiev, I.: Shear mode AlN thin film electro-acoustic resonant sensor operation in viscous media. Sens. Actuators B Chem. 123(1), 466–473 (2007)
http://tf.boulder.nist.gov/general/pdf/214.pdf, Accessed 15 Feb 2013
http://www.oscilloquartz.com/, Accessed 28 Mar 2013
Hinkley, N., Sherman, J. A., Phillips, N. B., Schioppo, M., Lemke, N. D., Beloy, K., Pizzocaro, M., Oates, C. W., Ludlow, A. D.: An Atomic Clock with 10–18 Instability. Science 341, 1215–1218 (2013)
EerNisse, E.P., Wiggins, R.B.: Review of thickness-shear mode quartz resonator sensors for temperature and pressure. IEEE Sens. J. 1(1), 79–87 (2001)
Sauerbrey, G.: Verwendung von Schwingquarzen zur Wägung dünner Schichten und zur Mikrowägung. Zeitschrift für Physik 155(2), 206–222 (1959)
Yang, Y.T., Callegari, C., Feng, X.L., Ekinci, K.L., Roukes, M.L.: Zeptogram-scale nanomechanical mass sensing. Nano Lett. 6(4), 583–586 (2006)
Chaste, J., Eichler, A., Moser, J., Ceballos, G., Rurali, R., Bachtold, A.: A nanomechanical mass sensor with yoctogram resolution. Nat. Nanotechnol. 7(5), 300–303 (2012)
Brice, J.C.: Crystals for Quartz Resonators. Rev. Mod. Phys. 57(1), 105–146 (1985)
Su, X.D., Ng, H.T., Dai, C.C., O’Shea, S.J., Li, S.F.Y.: Disposable, low cost, silver-coated, piezoelectric quartz crystal biosensor and electrode protection. Analyst 125(12), 2268–2273 (2000)
Mason, W.P., Baker, W.O., McSkimin, H.J., Heiss, J.H.: Mechanical Properties of Long Chain Molecule Liquids at Ultrasonic Frequencies. Phys. Rev. 73(9), 1074–1091 (1948)
McSkimin, H.J.: Measurement of Dynamic Shear Viscosity and Stiffness of Viscous Liquids by Means of Traveling Torsional Waves. J. Acoust. Soc. Am. 24(4), 355–365 (1952)
Mason, W.P., Baker, W.O., McSkimin, H.J., Heiss, J.H.: Measurement of Shear Elasticity and Viscosity of Liquids at Ultrasonic Frequencies. Phys. Rev. 75(6), 936–946 (1949)
McSkimin, H.J.: Measurement of the Shear Impedance of Viscous Liquids by Means of Traveling Torsional Waves. J. Acoust. Soc. Am. 24(1), 117 (1952)
Mason, W.P.: Piezoelectric Crystals and Their Applications to Ultrasonics. Princeton, Van Nostrand (1948)
Nomura, T., Okuhara, M.: Frequency-shifts of piezoelectric quartz crystals immersed in organic liquids. Analytica Chimica Acta, 142, 281–284 (1982)
Nomura, T., Hattori, O.: Determination of micromolar concentrations of cyanide in solution with a piezoelectric detector. Analytica Chimica Acta, 115, 323–326 (1980)
Bruckenstein, S., Shay, M.: Experimental aspects of use of the quartz crystal microbalance in solution. Electrochim. Acta 30(10), 1295–1300 (1985)
Buttry, D.A., Ward, M.D.: Measurement of interfacial processes at electrode surfaces with the electrochemical quartz crystal microbalance. Chem. Rev. 92(6), 1355–1379 (1992)
Schumacher, R.: The quartz microbalance—a novel-approach to the insitu investigation of interfacial phenomena at the solid liquid junction. Angew. Chem. Int. Eng. 29(4), 329–343 (1990)
Thompson, M., Kipling, A.L., Duncanhewitt, W.C., Rajakovic, L.V., Cavicvlasak, B.A.: Thickness-shear-mode acoustic-wave sensors in the liquid-phase—a review. Analyst 116(9), 881–890 (1991)
Janshoff, A., Galla, H.J., Steinem, C.: Piezoelectric mass-sensing devices as biosensors—An alternative to optical biosensors? Angew. Chem. Int. Eng. 39(22), 4004–4032 (2000)
Bunde, R.L., Jarvi, E.J., Rosentreter, J.J.: Piezoelectric quartz crystal biosensors. Talanta 46(6), 1223–1236 (1998)
Marx, K.A.: Quartz crystal microbalance: a useful tool for studying thin polymer films and complex biomolecular systems at the solution-surface interface. Biomacromolecules 4(5), 1099–1120 (2003)
Rickert, J., Brecht, A., Gopel, W.: Quartz crystal microbalances for quantitative biosensing and characterizing protein multilayers. Biosens. Bioelectron. 12(7), 567–575 (1997)
Konash, P.L., Bastiaans, G.J.: Piezoelectric-crystals as detectors in liquid-chromatography. Anal. Chem. 52(12), 1929–1931 (1980)
Alder, J.F., McCallum, J.J.: Piezoelectric-crystals for mass and chemical measurements—a review. Analyst 108(1291), 1169–1189 (1983)
Mieure, J.P., Jones, J.L.: Electrogravimetric trace analysis on a piezoelectric detector. Talanta 16(1), 149 (1969)
Jones, J.L., Mieure, J.P.: A piezoelectric transducer for determination of metals at micromolar level. Anal. Chem. 41(3), 484 (1969)
Borovikov, A.P.: Measurement of viscosity of media by means of shear vibration of plane piezoresonators. Instrum. Exp. Tech. 19(1), 223–224 (1976)
Tabidze, A.A., Kazakov, R.K.: High-frequency ultrasonic unit for measuring the complex shear modulus of liquids. Meas. Tech. USSR 26(1), 24–27 (1983)
Pechhold, W.: Eine Methode zur Messung des Komplexen Schubmoduls im Frequenzbereich 1–100 kHz. Acustica 9, 39 (1959)
Rodahl, M., Hook, F., Krozer, A., Brzezinski, P., Kasemo, B.: Quartz-crystal microbalance setup for frequency and q-factor measurements in gaseous and liquid environments. Rev. Sci. Instrum. 66(7), 3924–3930 (1995)
Hirao, M., Ogi, H., Fukuoka, H.: Resonance emat system for acoustoelastic stress measurement in sheet metals. Rev. Sci. Instrum. 64(11), 3198–3205 (1993)
Sittel, K., Rouse, P.E., Bailey, E.D.: Method for determining the viscoelastic properties of dilute polymer solutions at audio-frequencies. J. Appl. Phys. 25(10), 1312–1320 (1954)
Lucklum, R., Hauptmann, P.: Acoustic microsensors-the challenge behind microgravimetry. Anal. Bioanal. Chem. 384(3), 667–682 (2006)
Martin, S.J., Granstaff, V.E., Frye, G.C.: Characterization of a quartz crystal microbalance with simultaneous mass and liquid loading. Anal. Chem. 63(20), 2272–2281 (1991)
Kanazawa, K.K., Gordon, J.G.: Frequency of a quartz microbalance in contact with liquid. Anal. Chem. 57(8), 1770–1771 (1985)
Stockbridge, C.D.: In: Behrndt, K.H. (eds.) Vacuum Microbalance Techniques, 4 edn., Vol. 5 Plenum Press, New York (1966)
Glassford, A.P.M.: Response of a Quartz Crystal Microbalance to a Liquid Deposit. J. Vac. Sci. Tech. 15(6), 1836–1843 (1978)
http://en.wikipedia.org/wiki/Escapement, Accessed 9 May 2013
Han, S.M., Benaroya, H., Wei, T.: Dynamics of transversely vibrating beams using four engineering theories. J. Sound Vib. 225(5), 935–988 (1999)
Woan, G.: The Cambridge Handbook of Physics Formulas. Cambridge University Press, Cambridge (2000)
Author information
Authors and Affiliations
Corresponding author
Glossary
- Variable
-
Definition
- c q
-
Speed of shear sound in AT-cut quartz plates
- d f
-
Thickness of film
- d q
-
Thickness of resonator plate
- f r
-
Resonance frequency
- λ
-
Wavelength of sound
- κ R
-
Effective spring constant of the resonator
- M R
-
Effective mass of the resonator
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Johannsmann, D. (2015). Introduction. In: The Quartz Crystal Microbalance in Soft Matter Research. Soft and Biological Matter. Springer, Cham. https://doi.org/10.1007/978-3-319-07836-6_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-07836-6_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07835-9
Online ISBN: 978-3-319-07836-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)