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      SCI SCIE SCOPUS

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

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      https://www.riss.kr/link?id=A107480237

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      다국어 초록 (Multilingual Abstract)

      <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 rat...

      <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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