Summary
The last century developments of physics and technology are challenging the International System of units. Therefore, metrologists are considering to redefine it by assigning conventional values to a set of fundamental constants; this will be the greatest change after the introduction of the metric system. All the units are under scrutiny, but the kilogram and the Avogadro and Planck constants are in the spotlight.
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References
Bureau International des Poids et Mesures, The International System of Units (SI) (Stedi Media, Paris) 2006.
Borde C. J., Philos. Trans. R. Soc. A, 363 (2005) 2177.
Mills I. M., Mohr P. J., Quinn T. J., Taylor B. N. and Williams E. R., Metrologia, 43 (2006) 227.
Lévy Le Blond J.-M., Riv. Nuovo Cimento, 7 (1977) 187.
Mohr P. J., Taylor B. N. and Newell D. B., Rev. Mod. Phys., (2012) submitted; preprint (2012) http://arxiv.org/abs/1203.5425; web (2012) http://physics.nist.gov/cuu/Constants.
Cohen E. N. and Taylor B. N., J. Phys. Chem. Ref. Data, 2 (1973) 663.
Cohen E. N. and Taylor B. N., Rev. Mod. Phys., 59 (1987) 1121.
Mohr P. J. and Taylor B. N., Rev. Mod. Phys., 72 (2000) 531.
Mohr P. J. and Taylor B. N., Rev. Mod. Phys., 77 (2005) 1.
Mohr P. J., Taylor B. N. and Newell B. D., Rev. Mod. Phys., 80 (2008) 633.
Birge R. T., Rev. Mod. Phys., 1 (1929) 1.
Cohen E. R., DuMond J. W. M., Layton T. W. and Rollett J. S., Rev. Mod. Phys., 27 (1955) 363.
Bearden J. A. and Thomsen J. S., Nuovo Cimento, 5, Suppl. 2 (1957) 267.
Taylor B. N., Parker W. H. and Langenberg D. N., Rev. Mod. Phys., 41 (1969) 375.
Mills I. M., Mohr P. J., Quinn T. J., Taylor B. N. and Williams E. R., Metrologia, 42 (2005) 71.
Girard G., Metrologia, 31 (1994) 317.
Andreas B., Azuma Y., Bartl G., Becker P., Bettin H., Borys M., Busch I., Fuchs P., Fujii K., Fujimoto H., Kessler E., Krumrey M., Kuetgens U., Kuramoto N., Mana G., Massa E., Mizushima S., Nicolaus A., Picard A., Pramann A., Rienitz O., Schiel D., Valkiers S., Waseda A. and Zakel S., Phys. Rev. Lett., 106 (2011) 030801.
Andreas B., Azuma Y., Bartl G., Becker P., Bettin H., Borys M., Busch I., Gray M., Fuchs P., Fujii K., Fujimoto H., Kessler E., Krumrey M., Kuetgens U., Kuramoto N., Mana G., Manson P., Massa E., Mizushima S., Nicolaus A., Picard A., Pramann A., Rienitz O., Schiel D., Valkiers S.,Waseda A. and Zakel S., Metrologia, 48 (2011) S1.
Petley B. W., The fundamental physical constants and the frontiers of measurement (IOP Publishing Ltd, Bristol) 1988, pp. IX-X.
Avogadro A., Journal de Physique, de Chimie et d’Histoire naturelle, 73 (1811) 58.
Cannizzaro S., Nuovo Cimento, 7 (1858) 321.
Mana G. and Zosi G., Riv. Nuovo Cimento, 18, N. 3 (1995).
Becker P., Rep. Prog. Phys., 64 (2001) 1945.
Virgo S. E., Sci. Progr., 27 (1933) 634.
Loschmidt J., Sitzungsberichte der kaiserlichen Akademie der Wissenschaften Wien, 52 (1865) 395.
Planck M., Ann. Phys. (Leipzig), 4 (1901) 564.
Millikan R. A., Philos. Mag., 34 (1917) 1.
Rutherford E. and Geiger H., Z. Phys., 10 (1909) 1.
Du Nouy P., Science, 59 (1924) 580.
Compton A. H. and Doan R. L., Proc. Nat. Acad. Sci., 11 (1925) 598.
Bragg W. L., Proc. R. Soc. A, 89 (1914) 468.
Bearden J. A., Phys. Rev., 37 (1931) 1210.
Stille U., Phys. Bl., 8 (1952) 397.
Straumanis R., Phys. Rev., 95 (1954) 566.
Egidi C., Nature, 200 (1963) 61.
Bonse U. and Hart M., Appl. Phys. Lett., 6 (1965) 155.
Deslattes R. D., Henins A., Bowman H. A., Schoonover R. M. and Carroll C. L., Phys. Rev. Lett., 33 (1974) 463.
Seyfried P., Becker P., Kozdon A., LÜdicke F., Spieweck F., StÜmpel J., Wagenbreth H., Windisch D., De BiÈvre P., Ku H. H., Lenaers G., Murphy T. J., Peiser H. S. and Valkiers S., Z. Phys. B, 47 (1992) 289.
Basile G., Becker P., Bergamin A., Bettin H., Cavagnero G., De BikÈre P., Kuetgens U., Mana G., Mosca M., Pajot B., Panciera R., Pasin W., Pettoruso S., Peuto A., Sacconi A., Stuempel J., Valkiers S., Vittone E. and Zosi G., IEEE Trans. Instrum. Meas., 44 (1995) 538.
De BÈevre P., Valkiers S., Peiser S., Becker P., LÜdicke F., Spieweck F. and StÜmpel J., IEEE Trans. Instrum. Meas., 44 (1995) 530.
Fujii K., Tanaka M., Nezu Y., Nakayama K., Fujimoto H., De BiÈvre P. and Valkiers S., Metrologia, 36 (1999) 455.
Fujii K., Waseda A., Kuramoto N., Mizushima S., Becker P., Bettin H., Nicolaus A., Kuetgens U., Valkiers S., Taylor P., De BiÈvre P., Mana g., Massa E., Matyi R., Kessler E. G. and Hanke M., IEEE Trans. Instrum. Meas., 54 (2005) 854.
Zosi G., Lett. Nuovo Cimento, 38 (1983) 577.
Becker P., Schiel D., Pohl H.-J., Kaliteevski A. K., Godisov O. N., Churbanov M. F., Devyatykh G. G., Gusev A. V., Bulanov A. D., Adamchik S. A., Gavva V. A., Kovalev I. D., Abrosimov N. V., Hallmann-Seiffert B., Riemann H., Valkiers S., Taylor P., De BiÈvre P. and Dianov E. M., Meas. Sci. Technol., 17 (2006) 1854.
Massa E. and Nicolaus A., Metrologia, 48 (2011) E01.
Pramann A., Rienitz O., Schiel D., Schlote J., Guettler B. and Valkiers S., Metrologia, 48 (2011) S20.
Bulska E., Drozdov M. N., Mana G., Pramann A., Rienitz O., Sennikov P. and Valkiers S., Metrologia, 48 (2011) S26.
De BiÈvre P., Lenaers G., Murphy T., Peiser S. and Valkiers S., Metrologia, 32 (1995) 103.
Valkiers S., Mana G., Fujii K. and Becker P., Metrologia, 48 (2011) S26.
Mana G., Massa E., Valkiers S. and Willenberg G.-D., Int. J. Mass Spectrom., 289 (2010) 6.
Mana G., Rienitz O. and Pramann A., Metrologia, 47 (2010) 460.
Picard A., Barat P., Borys M., Firlus M. and Mizushima S., Metrologia, 48 (2011) S112.
Davis R., Metrologia, 40 (2003) 299.
Leistner A. and Zosi G., Appl. Opt., 26 (1987) 600.
Giardini W. J. and Mana G., Rev. Sci. Instrum., 69 (1998) 1383.
Kuramoto N., Fujii K. and Yamazawa K., Metrologia, 48 (2011) S83.
Bart G., Bettin H., Krystek M., Mai T., Nicolaus A. and Peter A., Metrologia, 48 (2011) S96.
Mana G., Metrologia, 31 (1994) 289.
Bartl G., Krystek M., Nicolaus R. A. and Giardini W., Meas. Sci. Technol., 21 (2010) 115101.
Busch I., Azuma Y., Bettin H., Cibik L., Fuchs P., Fujii K., Krumrey M., Kuetgens U., Kuramoto N. and Mizushima S., Metrologia, 48 (2011) S62.
Zakel S., Wundrack S., Niemann H., Rienitz O. and Schiel D., Metrologia, 48 (2011) S14.
Bergamin A., Cavagnero G., Mana G. and Zosi G., Eur. Phys. J. B, 9 (1999) 225.
Becker P. and Mana G., Metrologia, 31 (1994) 203.
Mana G. and Vittone E, Z. Phys. B, 102 (1997) 189; 102 (1997) 197.
Deslattes E. D. and Henins A., Phys. Rev. Lett., 31 (1973) 972.
Becker P., Dorenwendt K., Ebeling G., Lauer R., Lucas W., Probst R., Rademacher H.-J., Reim G., Seyfried P. and Siegert H., Phys. Rev. Lett., 46 (1981) 1540.
Basile G., Bergamin A., Cavagnero G., Mana G., Vittone E. and Zosi G., Phys. Rev. Lett., 72 (1994) 3133.
Nakayama K. and Fujimoto H., IEEE Trans. Instrum. Meas., 46 (1997) 580.
Cavagnero G., Fujimoto H., Mana G., Massa E., Nakayama K. and Zosi G., Metrologia, 41 (2004) 56; 41 (2004) 445.
Bergamin A., Cavagnero G., Cordiali L. and Mana G., Eur. Phys. J. D, 5 (1999) 433.
Bergamin A., Cavagnero G. and Mana G., Rev. Sci. Intrum., 64 (1993) 168.
Ferroglio L., Mana G. and Massa E., Opt. Express, 16 (2008) 16887.
Massa E., Mana G., Kuetgens U. and Ferroglio L., Metrologia, 48 (2011) S37.
Massa E., Mana G., Ferroglio L., Kessler E. G., Schiel D. and Zakel S., Metrologia, 48 (2011) S44.
Pavone P. and Baroni S., Solid State Commun., 90 (1994) 295.
Krueger E., Nistler W. and Weirauch W., Metrologia, 35 (1998) 203.
Krueger E., Nistler W. and Weirauch W., Metrologia, 36 (1999) 147.
Martin J., Kuetgens U., Stuempel J. and Becker P., Metrologia, 35 (1998) 811.
Massa E., Mana G., Kuetgens U. and Ferroglio L., New J. Phys., 11 (2009) 053013.
Knowles J. W., in Proceedings of the Second International Conference on Nuclidic Masses, edited by Johnson W. H. (Springer Verlag, Vienna) 1964, pp. 113–29.
Taylor B. N., Parker W. H. and Langenberg D. N., Rev. Mod. Phys., 41 (1969) 375.
Wicht A., Hensley J. M., Sarajlic E. and Chu S., Phys. Scr., T102 (2002) 82.
Bouchendira R., CladÉ P., Guellati-KhÉlifa S., Nez F. and Biraben F., Phys. Rev. Lett., 106 (2011) 080801.
Dewey M. S., Kessler E. G., Deslattes R. D., Boerner H. G., Jentschel M., Doll C. and Mutti P., Phys. Rev. C, 73 (2006) 044303.
Rainville S., Thompson J. K., Myers E. G., Brown J. M., Dewey M. S., Kessler E. G., Deslattes R. D., BÖrner H. G., Jentschel M., Mutti P. and Pritchard D. E., Nature, 438 (2005) 1096.
Rainville S., Thompson J. K. and Pritchard D. E., Science, 303 (2004) 334.
Thompson J. K., Rainville S. and Pritchard D. E., Nature, 430 (2004) 58.
Millikan R. A., Phys. Rev., 7 (1916) 355.
Planck M., Ann. Phys. (Leipzig), 4 (1901) 553.
Faller J. E., private communication.
Benz P., Pollarolo A., Qu J., Rogalla H., Urano C., Tew W. L., Dresselhaus P. D. and White D. R., Metrologia, 48 (2011) 142.
Spijkerman, J. J. and Bearden J. A., Phys. Rev. A, 134 (1964) 871.
Bower V. E. and Davis R. S., J. Res. Natl. Bur. Stand., 85 (1980) 175.
Williams E. R., Jones G. R., Ye S., Liu R., Sasaki H., Olsen P. T., Phillips W. D. and Layer H. P., IEEE Trans. Instrum. Meas., 38 (1989) 233.
Liu R., Liu H., Jin T., Lu Z., Du X., Xue S., Kong J., Yu B., Zhou X., Liu T. and Zhang W., Acta Metrol. Sinica, 16 (1995) 161.
Kibble B. P. and Hunt G. J., Metrologia, 15 (1979) 5.
Tarbeev Yu. V., Shifrin V. Y., Khorev V. N. and Studentsov N. V., Izmer. Tekh., 32 (1989) 3.
Shifrin V. Y., Park P. G., Khorev V. N., Choi C. H. and Kim C. S., IEEE Trans. Instrum. Meas., 47 (1998) 638.
Clothier W. K., Sloggett G. J., Bairnsfather H., Currey M. F. and Benjamin D. J., Metrologia, 26 (1989) 9.
Funck T. and Sienknecht V., IEEE Trans. Instrum. Meas., 40 (1991) 158.
Kibble B. P., Robinson I. A. and Belliss J. H., Metrologia, 27 (1990) 173.
Williams E. R., Steiner R. L., Newell D. B. and Olsen P. T., Phys. Rev. Lett., 81 (1998) 2404.
Steiner R. L., Newell D. B. and Williams E. R., J. Res. Natl. Inst. Stand. Technol., 110 (2005) 1.
Steiner R. L., Williams E. R., Liu R. and Newell D. B., IEEE Trans. Instrum. Meas., 56 (2007) 592.
Eichenberger A., Baumann H., Jeanneret B., Jeckelmann B., Richard P. and Beer W., Metrologia, 48 (2011) 133.
Robinson I. A., Metrologia, 49 (2012) 113.
Steele A. G., Meija J., Sanchez C. A., Yang L., Wood B. M., Sturgeon R. E., Mester Z. and Inglis A. D., Metrologia, 49 (2012) L8.
Wilczek F., Phys. Today, October (2004) 10; December (2004) 10; July (2005) 11.
Wilczek F., Rev. Mod. Phys., 77 (2005) 857.
Wilczek F., Mod. Phys. Lett. A, 21 (2006) 701.
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Mana, G., Massa, E. The Avogadro and the Planck constants for redefinition of the kilogram. Riv. Nuovo Cim. 35, 353–388 (2012). https://doi.org/10.1393/ncr/i2012-10078-5
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DOI: https://doi.org/10.1393/ncr/i2012-10078-5