Different ways of choosing the fundamental physical constants in connection with the planned transition to new definitions of the fundamental SI units (kilogram, mole, ampere, and kelvin) are discussed. Criteria for an optimum choice of the fundamental physical constants for this transition are considered. The advantages and disadvantages of the new definitions of the kilogram, mole, ampere, and kelvin based on various sets of constants chosen from the atomic mass unit, Avogadro constant, elementary electric charge, Boltzmann constant, Planck constant, and permeability of free space are analyzed.
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References
V. N. Melnikov, “Gravitation and cosmology as key problems of the millennium,” Einstein Century Int. Conf.: AIP Conf. Proc., Paris, No. 861, 109–126 (2006).
P. J. Mohr, D. B. Newell, and B. N. Taylor, “CODATA recommended values of the fundamental physical constants (2014),” arXiv:1507.07956v1-2015.
Bureau International des Poids et Mesures, www.bipm.org, acces. May 1, 2016.
I. M. Mills, “Redefinition of the kilogram, ampere, kelvin and mole: a proposed approach to implementing CIPM recommendation 1 (CI-2005),” Metrologia, 43, No. 3, 227–246 (2006).
M. J. T. Milton, R. Davis, and N. Fletcher, “Towards a new SI: a review of progress made since 2011,” Metrologia, 51, No. 3, R21–R30 (2014).
G. Girard, “The third periodic verification of national prototypes of the kilogram,” Metrologia, 31, 317–336 (1994).
B. N. Taylor and P. J. Mohr, “On the redefinition of the kilogram,” Metrologia, 36, 63–66 (1999).
C. A. Sanchez, “A determination of Planck’s constant using the NRC watt balance,” Metrologia, 51, No. 2, S5–S14 (2014).
Y. Azuma, “Improved measurement results for the Avogadro constant using a 28Si-enriched crystal,” Metrologia, 52, 360–375 (2015).
C. A. Sanchez, “Corrigendum to the 2014 NRC determi nation of Planck’s constant,” Metrologia, 52, No. 4, L23 (2015).
Recommendations of the Consultative Committee for Thermometry Submitted to the International Committee for Weights and Measures, www.bipm.org/cc/CCT/Allowed/Summary_reports/RECOMMENDATION_web_version.pdf, acces. May 1, 2016.
J. Gallop, “The quantum electrical triangle,” Phil. Trans. Roy. Soc. A, 363, 2221–2247 (2005).
Tuomo Tanttu, “Three-waveform bidirectional pumping of single electrons with a silicon quantum dot,” ArXiv: 1603.01225.
Quantum Ampere: Realisation of the New SI Ampere, https://www.ptb.de/emrp/868.html.
L. K. Isaev, S. A. Kononogov, and V. V. Khruschov, “On the redefinition of the four fundamental SI units,” Izmer. Tekhn., No. 2, 3–8 (2013).
V. V. Khruschov, “On the optimum choice of fundamental physical constants with fixed values for redefinition of SI units,” Izmer. Tekhn., No. 10, 3–8 (2011).
K. A. Bronnikov, S. A. Kononogov, and V. N. Melnikov, “Variations in the fine structure constant and multidimensional gravitation,” Izmer. Tekhn., No. 1, 7–13 (2013).
K. A. Bronnikov, S. A. Kononogov, and V. N. Melnikov, “Variations in the gravitational constant G in generalized theories of gravitation,” Izmer. Tekhn., No. 11, 22–26 (2014).
K. A. Bronnikov, V. D. Ivashchuk, M. I. Kalinin, et al., “On the new defi nitions for the base SI units. Why the atomic kilogram is preferable,” Izmer. Tekhn., No. 2, 11–18 (2015).
N. Fletcher, R. S. Davis, M. Stock, and M. J. T. Milton, “Modernizing the SI-implications of recent progress with the fundamental constants,” arXiv:1510.08324 (2015), pp. 1–12.
F. Pavese, “The new SI and fundamental constants: different meanings assigned to the same data, and how to proceed from recommended numerical values to their stipulation and beyond,” arXiv:1601.00857 (2016), Vol. 2, pp. 1–13.
Ch. J. Borde, “Reforming the international system of units: on our way to redefine the base units solely from fundamental constants and beyond,” arXiv:1602.01752 (2016), pp. 1–29.
P. Becker, P. de Bievre, K. Fujii, et al., “Considerations on future redefinitions of the kilogram, the mole and of other units,” Metrologia, 44, 1–14 (2007).
N. Fletcher, G. Rietveld, J. Olthoff, et al., “Electrical units in the new SI: saying goodbye to the 1990 Values,” NCSLI Measure J. Meas. Sci., 9, 30–35 (2014).
V. D. Ivashchuk, P. K. Isaev, S. A. Kononogov, et al., “Redefinition of the mole and results of measuring the Avogadro constant by the method of crystalline silicon spheres,” Izmer. Tekhn., No. 7, 38–43 (2015).
M. Gläser, “Redefinition of the kilogram and the impact on its future dissemination,” Metrologia, 47, 419–428 (2010).
H. Bettin, K. Fujii, J. Man, et al., “Accurate measurements of the Avogadro and Planck constants by counting silicon atoms,” Ann. Phys. (Berlin), 525, 680–687 (2013).
J. Bouchendira, “State of the art in the determination of the fine structure constant: test of Quantum Electrodynamics and determination of h/m u ,” ibid., 484–492.
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Translated from Izmeritel’naya Tekhnika, No. 8, pp. 11–15, August, 2016.
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Bronnikov, K.A., Ivashchuk, V.D., Kalinin, M.I. et al. On the Choice of Fixed Fundamental Constants for New Definitions of the SI Units. Meas Tech 59, 803–809 (2016). https://doi.org/10.1007/s11018-016-1048-4
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DOI: https://doi.org/10.1007/s11018-016-1048-4