Present State of the Avogadro Constant Determination From Silicon Crystals With Natural Isotopic Compositions

Fujii, K.; Waseda, Atsushi; Kuramoto, Naoki; Mizushima, Shigeki; Becker, Peter; Bettin, H.; Nicolaus, Arnold; Kuetgens, U.; Valkiers, S.; Taylor, Peter G.; DeBievre, P.; Mana, Giovanni; Massa, Enrico; Matyi, R. J.; Kessler, E. G.; Hanke, Michael

doi:10.1109/tim.2004.843101

Cited by 78 publications

(75 citation statements)

References 30 publications

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“…While some of the uncertainty in its values (Table 3) are surely due to inaccuracies of the methods, it is also possible that *  has close but still different values for different plasmas. It is interesting to note that such a quasi-constancy could also conceivably characterize the Planck constant, where the two most accurate methods for determining its value, i.e., watt balance [30][31][32] and the X-ray crystal density [33], do not agree with one another to within their stated uncertainties; their difference in h is . In addition, further future experimentation may find evidence of violations of the time [34] and position invariance of Planck constant [35].…”

Section: Discussionmentioning

confidence: 99%

Evidence of Large-Scale Quantization in Space Plasmas

Livadiotis

McComas

2013

Entropy

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Abstract:In plasmas, Debye screening structures the possible correlations between particles. We identify a phase space minimum h * in non-equilibrium space plasmas that connects the energy of particles in a Debye sphere to an equivalent wave frequency. In particular, while there is no a priori reason to expect a single value of h * across plasmas, we find a very similar value of h * ≈ (7.5 ± 2.4)×10 −22 J·s using four independent methods:(1) Ulysses solar wind measurements, (2) space plasmas that typically reside in stationary states out of thermal equilibrium and spanning a broad range of physical properties, (3) an entropic limit emerging from statistical mechanics, (4) waiting-time distributions of explosive events in space plasmas. Finding a quasi-constant value for the phase space minimum in a variety of different plasmas, similar to the classical Planck constant but 12 orders of magnitude larger may be revealing a new type of quantization in many plasmas and correlated systems more generally.

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Section: Discussionmentioning

confidence: 99%

Evidence of Large-Scale Quantization in Space Plasmas

Livadiotis

McComas

2013

Entropy

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“…22,23 In addition, natural isotopic composition single crystal (WASO-04) was also used in this work. 3,24 Further details are given in the Supporting Information. Sample Preparation.…”

Section: ■ Experimental Sectionmentioning

confidence: 99%

Determination of the Atomic Weight of ²⁸Si-Enriched Silicon for a Revised Estimate of the Avogadro Constant

et al. 2012

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Access and use of this website and the material on it are subject to the Terms and Conditions set forth at Determination of the atomic weight of ²⁸Si-enriched silicon for a revised estimate of the Avogadro Constant Yang, Lu; Mester, Zoltán; Sturgeon, Ralph E.; Meija, Juris http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=fr L'accès à ce site Web et l'utilisation de son contenu sont assujettis aux conditions présentées dans le site LISEZ CES CONDITIONS ATTENTIVEMENT AVANT D'UTILISER CE SITE WEB. NRC Publications Record / Notice d'Archives des publications de CNRC:http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?action=rtdoc&an=21268853&lang=en http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?action=rtdoc&an=21268853&lang=fr READ THESE TERMS AND CONDITIONS CAREFULLY BEFORE USING THIS WEBSITE.http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=en Vous avez des questions? Nous pouvons vous aider. Pour communiquer directement avec un auteur, consultez la première page de la revue dans laquelle son article a été publié afin de trouver ses coordonnées. Si vous n'arrivez pas à les repérer, communiquez avec nous à PublicationsArchive-ArchivesPublications@nrc-cnrc.gc.ca. Questions? Contact the NRC Publications Archive team atPublicationsArchive-ArchivesPublications@nrc-cnrc.gc.ca. If you wish to email the authors directly, please see the first page of the publication for their contact information. NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur. For the publisher's version, please access the DOI link below./ Pour consulter la version de l'éditeur, utilisez le lien DOI ci-dessous.http://doi.org/10.1021/ac203006jAnalytical Chemistry, 84, 5, pp. 2321-2327, 2012-03-06 Determination of the Atomic Weight of 28 Si-Enriched Silicon for a Revised Estimate of the Avogadro Constant Lu Yang, Zoltań Mester,* Ralph E. Sturgeon, and Juris Meija Institute for National Measurement Standards, National Research Council Canada, Ottawa, Ontario K1A 0R6, Canada * S Supporting Information ABSTRACT: The much anticipated overhaul of the International System of Units (SI) will result in new definitions of base units in terms of fundamental constants. However, redefinition of the kilogram in terms of the Planck constant (h) cannot proceed without consistency between the Avogadro and Planck constants, which are both related through the Rydberg constant. In this work, an independent assessment of the atomic weight of silicon in a highly enriched 28 Si crystal supplied by the International Avogadro Coordination (IAC) was performed. This recent analytical approach, based on dissolution with NaOH and its isotopic characterization by multicollector inductively coupled plasma mass spectrometry, is critically evaluated. The resulta...

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“…A derived from the Si sphere and from the watt balance experiment [3]. Very few experiments lead to an accurate determination of k B or R [4].…”

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confidence: 99%

Direct Determination of the Boltzmann Constant by an Optical Method

et al. 2007

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We have recorded the Doppler profile of a well-isolated rovibrational line in the ν 2 band of 14 NH 3 . Ammonia gas was placed in an absorption cell thermalized by a water-ice bath. By extrapolating to zero pressure, we have deduced the Doppler width which gives a first measurement of the Boltzmann constant, k B , by laser spectroscopy. A relative uncertainty of 2×10 -4 has been obtained. The present determination should be significantly improved in the near future and contribute to a new definition of the kelvin.

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Present State of the Avogadro Constant Determination From Silicon Crystals With Natural Isotopic Compositions

Cited by 78 publications

References 30 publications

Evidence of Large-Scale Quantization in Space Plasmas

Evidence of Large-Scale Quantization in Space Plasmas

Determination of the Atomic Weight of ²⁸Si-Enriched Silicon for a Revised Estimate of the Avogadro Constant

Direct Determination of the Boltzmann Constant by an Optical Method

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Present State of the Avogadro Constant Determination From Silicon Crystals With Natural Isotopic Compositions

Cited by 78 publications

References 30 publications

Evidence of Large-Scale Quantization in Space Plasmas

Evidence of Large-Scale Quantization in Space Plasmas

Determination of the Atomic Weight of 28Si-Enriched Silicon for a Revised Estimate of the Avogadro Constant

Direct Determination of the Boltzmann Constant by an Optical Method

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Product

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Determination of the Atomic Weight of ²⁸Si-Enriched Silicon for a Revised Estimate of the Avogadro Constant