Base units of the SI, fundamental constants and modern quantum physics

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 363, Issue 1834, 2005, Pages 2177-2201

  Bordé, Christian J ^a,b  

^a UNIVERSITÉ PARIS 13   (France)

^b OBSERVATOIRE DE PARIS   (France)

Author keywords

Atom interferometry; Base units of the SI; Compton frequency; Electric kilogram; Fundamental constants; Quantum metrology

Indexed keywords

EID: 25644459970     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2005.1635     Document Type: Conference Paper

References (62)

1. Barger, R. L. & Hall, J. L. 1969 Pressure shift and broadening of methane line at 3.39 μm studied by laser-saturated molecular absorption. Phys, Rev. Lett. 22, 4.
2. Becker, P. 2001 History and progress in the accurate determination of the Avogadro constant. Rep. Prog. Phys. 64, 1945-2008.
3. Becker, P. 2003 Tracing the definition of the kilogram to the Avogadro constant using a silicon single crystal. Metrologia 40, 366 -375.
4. Decker, P. et al 2003 Determination of the Avogadro constant via the silicon route. Metrologia 40, 271-287.
5. Bize, S. 2004 Advances in atomic fountains. C. R. Phys. 5, 813-820. (Special issue on fundamental metrology.)
6. Bordé, Ch. J. 1970 Spectroscopie d'absorption saturée de diverses molécules au moyen des lasers à gaz carbonique et à protoxyde d'azote. C. R. Acad. Sci. Paris 271B, 371-374.
7. Bordé, Ch. J. 1989 Atomic interferometry with internal state labelling. Phys. Lett. A 140, 10-12.
8. Bordé, Ch. J. 2002 Atomic clocks and inertial sensors. Metrologia 39, 435-463.
9. Bordé, Ch. J. 2004a Métrologie fondamentale: unités de base et constantes fondamentales, C. R. Phys. 5, 813-820.
10. Bordé, Ch. J. 20046 Quantum theory of atom-wave beam splitters and application to multidimensional atomic gravito-inertial sensors. Gen. Relat. Gravit. 36, 475-502.
11. Bordé, Ch. J. & Hall, J. L. 1974 Ultrahigh resolution saturated absorption spectroscopy. In Laser spectroscopy (ed. R. G. Brewer & A. Mooradian), pp. 125-142. New York: Plenum Press.
12. Bordé, Ch. J. & Kovalevsky, J. 2004 C. R. Phys. 5, 789-931. (Special issue on fundamental metrology.)
13. Bordé, Ch. J., Houard, J.-C. & Karasiewiez, A. 2000 Relativistic phase shift for Dirac particles interacting with weak gravitational fields in matter-wave interferometers. In Gyros, docks and interferometers: testing relativistic gravity in space (ed. C. Laemmerzahl, C. W. F. Everitt & F. W. Hehl), pp. 403-438. Berlin: Springer and gr-qc/0008033.
14. 23Na with uncertainties
15. Brillouin, L. 1959 La science et la théorie de l'information. Paris: Masson et Cic.
16. 133Cs and proton mass ratio using highly charged ions. Phys. Rev. Lett. 83, 4506-4509.
17. de Beauvoir, B., Schwob, C., Acef, O., Jozefowski, L., Hilico, L., Nez, F., Julien, L., Clairon, A. & Biraben, F. 2000 Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts. Eur. Phys. J. D 12, 61-93.
18. DeWitt, Bryce S. 1966 Superconductors and gravitational drag. Phys. Rev. Lett. 16, 1092-1093.
19. DiFilippo, F., Natarajan, V., Boyco, K. R., & Pritchard, D. E. 1994 Accurate atomic masses for fundamental metrology. Phys. Rev. Lett. 73, 1481-1484.
20. Eichenberger, A., Jeckelmann, B. & Richard, P. 2003 Tracing Planck's constant to the kilogram by electromechanical methods. Metrologia 40, 356-365. (Special issue: mass.)
21. Evenson, K. M. et al. 1974 Speed of light from direct laser frequency and wavelength measurements: emergence of a laser standard of length. In Laser spectroscopy (ed. R. G. Brewer & A. Mooradian), pp. 143-156. New York: Plenum Press.
22. Gill, P. (ed) 2002. In Proc., of the 6th Symp. on Frequency Standards and Metrology. Singapore: World Scientific.
23. Gläser, M. 2003a Metrologia 40, 299-386. (Special issue: mass.)
24. Gläser, M. 20036 Tracing the atomic mass unit to the kilogram by ion accumulation. Metrologia 40, 376-386. (Special issue: mass.)
25. Guinot, B. 1997 Application of general relativity to metrology. Metrologia 34, 261-290.
26. Guinot, B. 2004 Metrology and general relativity. C. R. Phys. 5, 821-828. (Special issue on fundamental metrology.)
27. Hall, J. L. & Bordé, Ch. J. 1974 Direct resolution of the recoil doublets using saturated absorption techniques. Bull. Am. Phys. Soc. 19, 1196.
28. Hall, J. L., Bordé. Ch. J. & Uehara, K. 1976 Direct optical resolution of the recoil effect using saturated absorption spectroscopy. Phys. Rev. Lett. 37, 1339-1342.
29. Huber, A., Gross, B., Woitz, M. & Hänsch, T. W. 1999 High-resolution spectroscopy of the 1S-2S transition in atomic hydrogen. Phys. Rev. A 59, 1844.
30. Jain, A. K., Lukens, J. E. & Taai, J. S. 1987 Test for relativistic gravitational effects on charged particles. Phys. Rev. Lett. 58, 1165-1168.
31. Jeckelmann, B. & & Jeanneret, B. 2001 The quantum Hall effect as an electrical resistance standard. Rep. Prog. Phys. 64, 1603-1655.
32. Kautz, R., L. & Lloyd, F. L. 1987 Precision of series-array Josephson voltage standards. Appl. Phys. Lett, 51, 2043-2045.
33. Kibble, B. P. 1975 A measurement of the gyromagnetic ratio of the proton by the strong field method. In Atomic masses and fundamental constants (ed. J. H. Sanders & A. H. Wapstra), vol. 5, pp. 545- 551. New York: Plenum Press.
34. Kose, V., Sichert, D. R. L. & Wöger, W. 2003 General principles for the definitions of the base units in the SI. Metrologia 40, 146-153.
35. Lach, G., Jeziorski, D. & Szalewicz, K. 2004 Radiative corrections to the polarizability of Helium. Phys. Rev. Lett. 92, 233001. (doi:10.1103/PhysRevLett.92.233001.)
36. 4He virial coefficients between 4.2 K and 27.0 K by dielectric constant gas thermometry. Metrologia 33, 341-352.
37. Martin, J. E. & Haycocks, P. R. 1998 Design considerations for the construction of an absolute radiation detector at the NPL. Metrologia 35, 229-233.
38. Mills, I. M., Mohr, P. J., Quinn, T. J., Taylor, B. N. & Williams, E. R. In press. Redefinition of the kilogram: a decision whose time has come. Metrologia.
39. Mohr, P. J. & Taylor, B. N. 1999 CODATA recommended values of the fundamental physical constants: 1998. J. Phys. Chem. Ref. Data 28, 1713-1852.
40. Moldover, M. R. & Ripple, D. C. 2003 Comments on "General principles for the definition of the base units in the SI". Metrologia 40, L9-L10.
41. Niemeyer, J., Grimm, L., Hamilton, C. & Steiner, R. 1986 High precision measurement of a possible resistive slope of Joscphson array voltage steps. IEEE Electr. Device Lett. EDL-7, 44-46.
42. Niering, M. et al. 2000 Measurement of the hydrogen 1S-2S transition frequency by phase coherent comparison with a microwave cesium fountain clock. Phys. Rev. Lett. 84, 5496.
43. Pendrill, L. R. 1996 Macroscopic and microscopic polarizabilities of helium gas. J. Phys. B 29, 3581-3586.
44. Piquemal, F. et al. 2004 Fundamental electrical standards and the quantum metrological triangle. C. R. Phys. 5, 857-879. (Special issue on fundamental metrology.)
45. Quinn, T. J. 1999 Practical realization of the definition of the metre (1997). Metrologia 36, 211-244.
46. Quinn, T. J. 2003 Practical realization of the definition of the metre, including recommended radiations of other optical frequency standards (2001). Metrologia 40, 103-133.
47. Quinn, T. J. & Martin, J. E. 1996 Total radiation measurements of thermodynamic temperature. Metrologia 33, 375-381.
48. Reichert, J., Niering, M., Holzwarth, R., Weitz, M., Udem, Th. & Hänsch, T. W. 2000 Phase coherent vacuum-ultraviolet to radio frequency comparison with a mode-locked laser. Phys. Rev. Lett. 84, 3232.
49. Renaot, E., Elgourdou, M. & Bonnier, G. 2000 Interlaboratory comparison of realizations of the triple point of water, Metrologia 37, 693-699.
50. Schwitz, W., Jeckelmann, B. & Richard, P. 2004 Towards a new kilogram definition based on a fundamental constant. C. R. Phys. 5, 881-892. (Special issue on fundamental metrology.)
51. Sterr, U. et al 2004 The optical calcium frequency standards of PTB and NIST. C. R. Phys. 5, 845-856. (Special issue on fundamental metrology.)
52. Storm, L. 1986 Precision measurements of the Boltzmann constant. Metrologia 22, 229-234.
53. Stuhler, J., Fattori, M., Petelski, T. & Tino, G. M. 2003 MAGIA-using atom interferometry to determine the Newtonian gravitational constant. J. Opt. B: Quantum Semiclossical Opt. 5, S75-S81.
54. Taylor, B. N. & Mohr, P. J. 1999 On the redefinition of the kilogram. Metrologia 36, 63-64.
55. Taylor, B. N. & Mohr, P. J. 2001 The role of fundamental constants in the international system of units (SI): present and future. IEEE Trans. Instrum. Meas. 50, 563-567.
56. K in terms of the BNM calculable capacitor - fifteen years of investigations. Metrologia 40, 159-171.
57. Tsai, J. S., Jain, A. K. & Lukens, J. E. 1983 High precision test of the universality of the Josephson voltage-frequency relation. Phys. Rev. Lett. 51, 316-319.
58. Tuninsky, V. S. 2003 Unit systems based on the fundamental constants. Metrologia 36, 9-14.
59. White, D. R. et al. 1996 The status of Johnson noise thermometry. Metrologia 33, 325-335.
60. C8 with interferometry. In Proc, of the. 6th Symp. on Frequency Standards and Metrology (ocl. P. Gill), pp. 193-212. Singapore: World Scientific.
61. Wicht, A., Herisley, J. M., Sarajlic, E. & Clm, S. 2002 A preliminary measurement of the fine structure constant based on atom interferometry, Phys. Scr. 102, 82-88.
62. Wignall, J. W. G. 1992 Proposal for an absolute, atomic definition of mass. Phys. Rev. Lett. 68, 5-8.