Exercise I: Calculate DS in [nm/V] questions: DS =

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Exercise I: Calculate DS in [nm/V] questions: DS =

Exercise II: Calculate the Load [nN] Assume that spring constant k = 0.07 N/m Draw the above curve again with the Y-axis in [nN] Hint: use Hooke’s Law together with the Deflection Sensitivity

Exercise III: Transform Piezo Extension to Tip-Sample-Distance Tip-Sample-Distance [um] = Piezo-Extension [um] – Deflection [V] * DS [nm/V] Calculate the TSD at the Piezo extensions: um: - 4 um: um: um:

Exercise IV: Calculate the Young’s modulus Determine the indentation h [m]: Find the stiffness S [N/m] (fit the upper 50 %, use k and DS from above) : Calculate the E-modulus (E r ): Assume that the halfangle Θ is 35° and the poisson ratio ν = 0.5 Stiffness