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        Determination of the molar mass of argon from high-precision acoustic comparisons

        Feng, X J,Zhang, J T,Moldover, M R,Yang, I,Plimmer, M D,Lin, H BUREAU INTERNATIONAL DES POIDS ET MESURES 2017 METROLOGIA -BERLIN- Vol.54 No.3

        <P>This article describes the accurate determination of the molar mass <I>M</I> of a sample of argon gas used for the determination of the Boltzmann constant. The method of one of the authors (Moldover <I>et al</I> 1988 <I>J. Res. Natl. Bur. Stand</I>. <B>93</B> 85–144) uses the ratio of the square speed of sound in the gas under analysis and in a reference sample of known molar mass. A sample of argon that was isotopically-enriched in <SUP>40</SUP>Ar was used as the reference, whose unreactive impurities had been independently measured. The results for three gas samples are in good agreement with determinations by gravimetric mass spectrometry; (〈<I>M</I> <SUB>acoustic</SUB>/<I>M</I> <SUB>mass-spec</SUB>〉  −  1)  =  (−0.31  ±  0.69)  ×  10<SUP>−6</SUP>, where the indicated uncertainty is one standard deviation that does not account for the uncertainties from the acoustic and mass-spectroscopy references.</P>

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        Improving acoustic determinations of the Boltzmann constant with mass spectrometer measurements of the molar mass of argon

        Yang, Inseok,Pitre, Laurent,Moldover, Michael R,Zhang, Jintao,Feng, Xiaojuan,Kim, Jin Seog BUREAU INTERNATIONAL DES POIDS ET MESURES 2015 METROLOGIA -BERLIN- Vol.52 No.5

        <P>We determined accurate values of <I>ratios</I> among the average molar masses <I>M</I><SUB>Ar</SUB> of 9 argon samples using two completely-independent techniques: (1) mass spectrometry and (2) measured ratios of acoustic resonance frequencies. The two techniques yielded mutually consistent ratios (RMS deviation of 0.16   ?   10<SUP>−6</SUP> <I>M</I><SUB>Ar</SUB> from the expected correlation) for the 9 samples of highly-purified, commercially-purchased argon with values of <I>M</I><SUB>Ar</SUB> spanning a range of 2   ?   10<SUP>−6</SUP> <I>M</I><SUB>Ar</SUB>. Among the 9 argon samples, two were traceable to recent, accurate, argon-based measurements of the Boltzmann constant <I>k</I><SUB>B</SUB> using primary acoustic gas thermometers (AGT). Additionally we determined our absolute values of <I>M</I><SUB>Ar</SUB> traceable to two, completely-independent, isotopic-reference standards; one standard was prepared gravimetrically at KRISS in 2006; the other standard was isotopically-enriched <SUP>40</SUP>Ar that was used during NIST’s 1988 measurement of <I>k</I><SUB>B</SUB> and was sent to NIM for this research. The <I>absolute</I> values of <I>M</I><SUB>Ar</SUB> determined using the KRISS standard have the relative standard uncertainty <I>u</I><SUB>r</SUB>(<I>M</I><SUB>Ar</SUB>)  =  0.70   ?   10<SUP>−6</SUP> (Uncertainties here are one standard uncertainty.); they agree with values of <I>M</I><SUB>Ar</SUB> determined at NIM using an AGT within the uncertainty of the comparison <I>u</I><SUB>r</SUB>(<I>M</I><SUB>Ar</SUB>)  =  0.93   ?   10<SUP>−6</SUP>. If our measurements of <I>M</I><SUB>Ar</SUB> are accepted, the difference between two, recent, argon-based, AGT measurements of <I>k</I><SUB>B</SUB> decreases from (2.77   ?   1.43)  ?  10<SUP>−6</SUP> <I>k</I><SUB>B</SUB> to (0.16   ?   1.28)  ?  10<SUP>−6</SUP> <I>k</I><SUB>B</SUB>. This decrease enables the calculation of a <I>meaningful</I>, weighted average value of <I>k</I><SUB>B</SUB> with a uncertainty <I>u</I><SUB>r</SUB>(<I>k</I><SUB>B</SUB>)  ≈  0.6   ?   10<SUP>−6</SUP>.</P>

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