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Determination of the Avogadro constant via the silicon route

P Becker1, H Bettin1, H-U Danzebrink1, M Gläser1, U Kuetgens1, A Nicolaus1, D Schiel1, P De Bièvre2, S Valkiers2 and P Taylor2

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A value for the Avogadro constant, NA, was derived from new measurements of the lattice parameter, the density and the molar mass of a silicon single crystal. The result NA = 6.022 135 3 × 1023 mol−1 has a relative measurement uncertainty u_{N_{\rm A}} = 3.4 \times 10^{ - 7} and is in excellent agreement with other published data based on the x-ray crystal density molar mass method, indicating the high repeatability of these experiments. The value differs significantly from the Committee on Data for Science and Technology's most recent recommended value of 6.022 141 99 × 1023 mol−1 by more than 1 × 10−6 NA.


PACS

06.20.F- Units and standards

61.50.Ah Theory of crystal structure, crystal symmetry; calculations and modeling

06.30.Bp Spatial dimensions (e.g., position, lengths, volume, angles, and displacements)

07.77.Ka Charged-particle beam sources and detectors

06.20.Jr Determination of fundamental constants

Subjects

Instrumentation and measurement

Condensed matter: structural, mechanical & thermal

Dates

Issue 5 (October 2003)

Received 9 May 2003

Published 11 September 2003



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