Development of a programmable standard of ultra-low capacitance values.

A set of ultra-low value capacitance standards together with a programmable coaxial multiplexer (mux) have been developed. The mux allows the connection of these capacitances in parallel configuration and they together form the programmable capacitance standard. It is capable of producing decadic standard capacitances from 10 aF to at least 0.1 pF, which are later used to calibrate commercial precision capacitance bridges. This paper describes the realization and the characterization of this standard together with results obtained during the calibration of Andeen-Hagerling AH2700A bridges with a maximum uncertainty of 0.8 aF for all the capacitances generated ranging from 10 aF to 0.1 pF, at 1 kHz. These latter could be then integrated to functionalized AFMs or probe stations for quantitative capacitance measurements. Sources of uncertainties of the programmable capacitance standard, such as parasitic effects due to stray impedances, are evaluated and a method to overcome these hindrances is also discussed.