For the calibration of piezo-capacitive displacement actuators, we use an i
nterferometric setup with subnanometric resolution. In order to minimize th
e periodic nonlinearity effect of the laser interferometer, the optical pat
h difference is changed in steps of lambda, obtained from a computer-based
loop control of the out-of-phase difference between the reference and the m
easuring signal of the interferometer. Experimental results show an expande
d uncertainty of about 0.7 nm + 0.1 x 10(-3) L. The calibrated actuator is
then used as a transfer standard at the nanometer level, both for testing t
he nonlinearity of the laser interferometer and for calibrating the linear
variable differential transformer (LVDT) probe of the Istituto di Metrologi
a "G, Colonnetti," (IMGC) Torino, Italy, roundness instrument (used for mea
suring silicon spheres for the Avogadro constant).