Abstract
We report new values for the atomic masses of the alkali 133Cs, 87Rb, 85Rb, and 23Na with uncertainties ≤ 0.2 ppb. These results, obtained using Penning trap single ion mass spectrometry, are typically two orders of magnitude more accurate than previously measured values. Combined with values of h/m atom from atom interferometry measurements and accurate wavelength measurements for different atoms, these values will lead to new ppb-level determinations of the molar Planck constant N A h and the fine structure constant α. This route to α is based on simple physics. It can potentially achieve the several ppb level of accuracy needed to test the QED determination of α extracted from measurements of the electron g factor. We also demonstrate an electronic cooling technique that cools our detector and ion below the 4 K ambient temperature. This technique improves by about a factor of three our ability to measure the ion's axial motion.
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References
Kinoshita, T., IEEE Trans. Instrum. Meas. 46 (1997), 108.
Van Dyck Jr., R. S., Schwinberg, P. B. and Dehmelt, H. G., Phys. Rev. Lett. 59 (1987), 26.
Kinoshita, T., Phys. Rev. Lett. 75 (1995), 4728.
Williams, E. R. et al., IEEE Trans. Instrum. Meas. 38 (1989), 233.
Cohen, E. R. and Taylor, B. N., Rev. Mod. Phys. 59 (1987), 1121.
Kruger, E., Nistler, W. and Weirauch, W., Metrologia 35 (1998), 203.
Jeffery, A. M. et al., IEEE Trans. Instrum. Meas. 46 (1997), 264.
Udem, T. et al., Phys. Rev. Lett. 79 (1997), 2646.
Farnham, D. L., Vandyck, R. S. and Schwinberg, P. B., Phys. Rev. Lett. 75 (1995), 3598.
Difilippo, F., Natarajan, V., Boyce, K. R. and Pritchard, D. E., Phys. Rev. Lett. 73 (1994), 1481.
Van Dyck Jr., R., Farnham, D., Zafonte, S. and Schwinberg, P., In: Trapped Charged Particles and Fundamental Physics, AIP 457, Asilomar, CA, 1998, pp. 101–110.
Mohr, P. and Taylor, B., Rev. Mod. Phys. 72 (2000), 351.
Kruger, E., Nistler, W. and Weirauch, W., Metrologia 32 (1995), 117.
Weiss, D. S., Young, B. C. and Chu, S., Phys. Rev. Lett. 70 (1993), 2706.
Udem, T., Reichert, J., Holzwarth, R. and Hansch, T. W., Phys. Rev. Lett. 82 (1999), 3568.
Haffner, H. et al., In: F. Fuso and F. Cervelli (eds), Abstracts of 17th International Conference on Atomic Physics, AIP, Firenze, Italy, 2000, pp. 27–28.
Weisskoff, R. M. et al., J. Appl. Phys. 63 (1988), 4599.
Van Dyck Jr., R., Wineland, D., Ekstrom, P. and Dehmelt, H. G., Appl. Phys. Lett. 28 (1976),446.
Gabrielse, G., Phys. Rev. A 27 (1983), 2277.
Cornell, E. A., Weisskoff, R. M., Boyce, K. R. and Pritchard, D. E., Phys. Rev. A 41 (1990), 312.
Bevington, P. and Robinson, D., Data Reduction and Error Analysis for the Physical Sciences, 2nd edn, McGraw-Hill, Boston, 1992.
Audi, G. and Wapstra, A. H., Nucl. Phys. A 595 (1995), 409.
Huber, P., Robust Statistics, Wiley, New York, 1981.
Bradley, M. P. et al., Phys. Rev. Lett. 83 (1999), 4510.
Mallard, W. G. and Linstrom, P. J. (eds), NIST Chemistry WebBook, NIST Standard Reference Database No. 69, NIST, Gaithersburg, MD, 1999 (http://webbook.nist.gov).
Carlberg, C., Fritioff, T. and Bergstrom, I., Phys. Rev. Lett. 83 (1999), 4506.
Young, B., Ph.D. thesis, Stanford University, 1997.
Udem, T., private communication, 1999.
Forward, R., J. Appl. Phys. 50 (1979),1.
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Rainville, S., Bradley, M.P., Porto, J.V. et al. Precise Measurements of the Masses of Cs, Rb and Na – A New Route to the Fine Structure Constant. Hyperfine Interactions 132, 177–187 (2001). https://doi.org/10.1023/A:1011922529114
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DOI: https://doi.org/10.1023/A:1011922529114