A Capacitance Standard Based on Counting Electrons

Author:

Keller Mark W.1,Eichenberger Ali L.1,Martinis John M.1,Zimmerman Neil M.2

Affiliation:

1. National Institute of Standards and Technology, Boulder, CO 80303, USA.

2. National Institute of Standards and Technology, Gaithersburg, MD 20899, USA.

Abstract

A capacitance standard based directly on the definition of capacitance was built. Single-electron tunneling devices were used to place N electrons of charge e onto a cryogenic capacitor C , and the resulting voltage change Δ V was measured. Repeated measurements of C = NeV with this method have a relative standard deviation of 0.3 × 10 –6 . This standard offers a natural basis for capacitance analogous to the Josephson effect for voltage and the quantum Hall effect for resistance.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference21 articles.

1. B. N. Taylor Ed. The International System of Units (SI) NIST Spec. Publ. 330 (Government Printing Office Washington DC 1991) (available at ).

2. Taylor B. N., Witt T. J., Metrologia 26, 47 (1989).

3. The 1990 volt and ohm have not been formally integrated into the SI but they are in use worldwide as practical units because they can be reproduced with much smaller uncertainty than the SI volt and ohm.

4. Clothier W. K., Metrologia 1, 36 (1965).

5. H. Grabert and M. H. Devoret Eds. Single Charge Tunneling (Plenum New York 1992).

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