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Electromechanical coupling constant extraction of thin-film piezoelectric materials using a bulk acoustic wave resonator

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4 Author(s)
Naik, R.S. ; MIT, Cambridge, MA, USA ; Lutsky, J.J. ; Reif, Rafael ; Sodini, C.G.

Thin-film piezoelectric materials such as ZnO and AlN have great potential for on-chip devices such as filters, actuators and sensors. The electromechanical coupling constant is an important material parameter which determines the piezoelectric response of these films. This paper presents a technique based on the Butterworth Van-Dyke (BVD) model which, together with a simple one-mask over-moded resonator, can be used to extract the bulk, one-dimensional electromechanical coupling constant K2 of any piezoelectrically active thin-film. The BVD model is used to explicitly define the series resonance, parallel resonance, and quality factor Q of any given resonating mode. Common methods of defining the series resonance, parallel resonance, and Q are shown to be inaccurate for low coupling, lossy resonators such as the over-moded resonator. Specifically, an electromechanical coupling constant K2 of (2.6±0.1)% was measured for an (002) c-axis textured AlN film with an X-ray diffraction rocking curve of 7.5° using the BVD based extraction technique

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Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on  (Volume:45 ,  Issue: 1 )