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Three simple experimental configurations, which allow for an analytical prediction of Δf + iΔΓ. The dashed lines show the displacement pattern of a shear wave in water (A), in a thin film (B), and in a sample containing a thin film in water (C). The graph is not to scale. The penetration depth of the shear wave in water, δ, is about 200 nm for a 5 MHz crystal. Films with a displacement pattern as shown in (C) are a few tens of nanometers thick.
