Accurate determination of the Boltzmann constant by Doppler spectroscopy: Towards a new definition of the kelvin
Beno\^it Darqui\'e (LPL), Sinda Mejri (LPL), Papa Lat Tabara Sow, (LPL), Cyril Lemarchand (LPL), Meriam Triki (LPL), Sean Tokunaga (LPL),, Christian J. Bord\'e (LPL), Christian Chardonnet (LPL), Christophe Daussy, (LPL)

TL;DR
This paper demonstrates that high-precision Doppler spectroscopy of ammonia can determine the Boltzmann constant with uncertainties comparable to acoustic methods, supporting a potential redefinition of the kelvin based on fundamental constants.
Contribution
It presents new spectroscopic measurements and models that enable a ppm-level determination of the Boltzmann constant, advancing the precision of fundamental constant measurements.
Findings
Achieved a few ppm uncertainty in Boltzmann constant measurement
Validated models including Dicke narrowing and collisional effects
Supports redefining the kelvin based on fundamental constants
Abstract
Accurate molecular spectroscopy in the mid-infrared region allows precision measurements of fundamental constants. For instance, measuring the linewidth of an isolated Doppler-broadened absorption line of ammonia around 10 m enables a determination of the Boltzmann constant k B. We report on our latest measurements. By fitting this lineshape to several models which include Dicke narrowing or speed-dependent collisional effects, we find that a determination of k B with an uncertainty of a few ppm is reachable. This is comparable to the best current uncertainty obtained using acoustic methods and would make a significant contribution to any new value of k B determined by the CODATA. Furthermore, having multiple independent measurements at these accuracies opens the possibility of defining the kelvin by fixing k B, an exciting prospect considering the upcoming redefinition of the…
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