Toward the Avogadro constant-preliminary results on the molar volume of silicon

Sacconi, A.; Peuto, A.; Pasin, W.; Panciera, Rocco; Lenaers, G.; Valkiers, S.; Berg, M. van den; Bièvre, Paul De

doi:10.1109/19.192272

Cited by 41 publications

(22 citation statements)

References 6 publications

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“…13(a). [106] Later a two-optical-interferometer system was developed at INRIM [107] and NMIJ, [108] as shown in Fig. 13(b), in which the reflected light from the sphere was collimated by a lens to overcome the problem due to the diffraction of the reflected light in Saunders' interferometer.…”

Section: Volume Measurementmentioning

confidence: 99%

Progress on accurate measurement of the Planck constant: Watt balance and counting atoms

Zhang

Zhao

et al. 2015

Chinese Phys. B

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Section: Volume Measurementmentioning

confidence: 99%

Progress on accurate measurement of the Planck constant: Watt balance and counting atoms

Zhang

Zhao

et al. 2015

Chinese Phys. B

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“…The first measurement for precision determination of the sphere volume was taken at NIST by an optical interferometer which was designed by Saunders and shown in figure 13(a) [106]. Later a two-optical-interferometer system was developed at INRIM [107] and NMIJ [108] as shown in figure 13(b), in which the reflected light from the sphere was collimated by a lens to overcome the problem due to the diffraction of the reflected light in Saunders' interferometer [109]. At PTB, a Fizeau interferometer with a spherical etalon was developed shown in figure 13(c) [110] with an advantage in analysing the entire surface of the sphere [111].…”

Section: Volume Measurementmentioning

confidence: 99%

Progress on accurate measurement of the Planck constant: watt balance and counting atoms

Li,

Zhang,

Zhao

et al. 2014

Preprint

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The Planck constant h is one of the most significant constants in quantum physics. Recently, the precision measurement of the numeral value of h has been a hot issue due to its important role in establishment for both a new SI and a revised fundamental physical constant system. Up to date, two approaches, the watt balance and counting atoms, have been employed to determine the Planck constant at a level of several parts in 10 8 . In this paper, the principle and progress on precision measurement of the Planck constant using watt balance and counting atoms at national metrology institutes are reviewed. Further improvements for the Planck constant determination and possible developments of a revised physical constant system in future are discussed.

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“…After the development of the polishing techniques for silicon spheres at the CSIRO, Australia, in the 1980s [11,12], optical interferometers with flat reference plates have been developed at the Istituto di Metrologia 'G Colonnetti' (IMGC), Italy [29][30][31][32], the National Metrology Institute of Japan (NMIJ, formerly the National Research Laboratory of Metrology) [33][34][35][36][37][38][39] and the CSIRO [40].…”

Section: Balls Interferometer With Flat Reference Platesmentioning

confidence: 99%

“…Furthermore, this design enables us to measure the two gaps, d 1 and d 2 , simultaneously so that any mechanical instability in the position of the sphere relative to that of the etalon can be cancelled completely. At the IMGC, an optical interferometer with a flat etalon and a spherical wave was used [29][30][31][32], as shown in (c), in which the effect of diffraction was also removed.…”

Section: Balls Interferometer With Flat Reference Platesmentioning

confidence: 99%

“…At the NMIJ, the diameters of two silicon spheres prepared from the same silicon crystals, S4 and S5, were measured at 22.5 • C and 0 Pa [38,39]. Since the correction for the thermal expansion is rather large, their density values at 20 It is known that the difference in their density values exactly corresponds to the difference in isotopic compositions of 28 Si, 29 Si and 30 Si [36], and the density difference was already confirmed by differential density measurements, such as hydrostatic weighing and the pressure-of-flotation method [65,66].…”

Section: Corrections Surface Layermentioning

confidence: 99%

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Primary calibration of the volume of silicon spheres

Nicolaus

Fujii

2006

Meas. Sci. Technol.

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For direct density determination by so-called absolute procedures, the mass and the volume of a body must be determined. The paper gives an overview of dimensional measurements of silicon spheres used as density standards. Relative uncertainties for diameter measurements of less than 10−8 can only be achieved with interferometric procedures. After introducing optical interferometry the two main types of interferometers used are described in detail: plane-face interferometers and interferometers with spherical beam path. At present, uncertainties of 1 nm can be achieved for a diameter determination of silicon spheres, which corresponds to a relative volume uncertainty of ΔV/V = 3 × 10−8.

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Toward the Avogadro constant-preliminary results on the molar volume of silicon

Cited by 41 publications

References 6 publications

Progress on accurate measurement of the Planck constant: Watt balance and counting atoms

Progress on accurate measurement of the Planck constant: Watt balance and counting atoms

Progress on accurate measurement of the Planck constant: watt balance and counting atoms

Primary calibration of the volume of silicon spheres

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