Progress towards an accurate determination of the Boltzmann constant by Doppler spectroscopy

Abstract

In this paper, we present significant progress performed on an experiment dedicated to the determination of the Boltzmann constant, k, by accurately measuring the Doppler absorption profile of a line in a gas of ammonia at thermal equilibrium. This optical method based on the first principles of statistical mechanics is an alternative to the acoustical method which has led to the unique determination of k published by the CODATA with a relative accuracy of 1.7 ppm. We report on the first measurement of the Boltzmann constant by laser spectroscopy with a statistical uncertainty below 10 ppm, more specifically 6.4 ppm. This progress results from improvements in the detection method and in the statistical treatment of the data. In addition, we have recorded the hyperfine structure of the probed saQ(6,3) rovibrational line of ammonia by saturation spectroscopy and thus determine very precisely the induced 4.36 (2) ppm broadening of the absorption linewidth. We also show that, in our well chosen experimental conditions, saturation effects have a negligible impact on the linewidth. Finally, we draw the route to future developments for an absolute determination of with an accuracy of a few ppm.

22 pages, 11 figures

References in corpus (6)

• A new determination of the fine structure constant based on Bloch oscillations of ultracold atoms in a vertical optical lattic
• First direct determination of the Boltzmann constant by an optical method
• Primary gas thermometry by means of laser-absorption spectroscopy: Determination of the Boltzmann constant
• Quantitative atomic spectroscopy for primary thermometry
• Measurement of the Boltzmann constant by the Doppler broadening technique at a 3,8x10-5 accuracy level
• Determination of the Boltzmann constant by laser spectroscopy as a basis for future measurements of the thermodynamic temperature

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