Determination of the Boltzmann constant k from the speed of sound in helium gas at the triple point of water
The Boltzmann constant k has been determined from a measurement of the speed of sound in helium gas in a quasi-spherical resonator (volume 0.5 l) maintained at a temperature close to the triple point of water (273.16 K). The acoustic velocity c is deduced from measured acoustic resonance frequencies...
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| Veröffentlicht in: | Metrologia 2015-10, Vol.52 (5), p.S263-S273 |
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| container_end_page | S273 |
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| container_issue | 5 |
| container_start_page | S263 |
| container_title | Metrologia |
| container_volume | 52 |
| creator | Pitre, L Risegari, L Sparasci, F Plimmer, M D Himbert, M E Giuliano Albo, P A |
| description | The Boltzmann constant k has been determined from a measurement of the speed of sound in helium gas in a quasi-spherical resonator (volume 0.5 l) maintained at a temperature close to the triple point of water (273.16 K). The acoustic velocity c is deduced from measured acoustic resonance frequencies and the dimensions of the quasi-sphere, the latter being obtained via simultaneous microwave resonance. Values of c are extrapolated to the zero pressure limit of ideal gas behaviour. We find J⋅K−1, a result consistent with previous measurements in our group and elsewhere. The value for k, which has a relative standard uncertainty of 1.02 ppm, lies 0.02 ppm below that of the CODATA 2010 adjustment. |
| doi_str_mv | 10.1088/0026-1394/52/5/S263 |
| format | Article |
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The acoustic velocity c is deduced from measured acoustic resonance frequencies and the dimensions of the quasi-sphere, the latter being obtained via simultaneous microwave resonance. Values of c are extrapolated to the zero pressure limit of ideal gas behaviour. We find J⋅K−1, a result consistent with previous measurements in our group and elsewhere. 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The acoustic velocity c is deduced from measured acoustic resonance frequencies and the dimensions of the quasi-sphere, the latter being obtained via simultaneous microwave resonance. Values of c are extrapolated to the zero pressure limit of ideal gas behaviour. We find J⋅K−1, a result consistent with previous measurements in our group and elsewhere. The value for k, which has a relative standard uncertainty of 1.02 ppm, lies 0.02 ppm below that of the CODATA 2010 adjustment.</description><subject>Acoustic resonance</subject><subject>Boltzmann constant</subject><subject>Constants</subject><subject>definition of the Kelvin</subject><subject>Extrapolation</subject><subject>Frequencies</subject><subject>Helium</subject><subject>Measurement</subject><subject>Metrology</subject><subject>Microwave resonance</subject><subject>quasi-sphere</subject><subject>Sound</subject><subject>speed of sound</subject><subject>triaxial ellipsoid</subject><subject>Velocity</subject><subject>Water</subject><issn>0026-1394</issn><issn>1681-7575</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp90U1PxCAQBmBiNHFd_QVeSLx4qQVaoBz91sTEg3omtKUu2kIFGqO_XrprjPHgicM87wyZAeAQoxOMqipHiLAMF6LMKclp_kBYsQUWmFU445TTbbD4EbtgL4QXhDAnlC9Af6Gj9oOxKhpnoetgXGl45vr4OShrYeNsiMpG-Ao774Z1NYxatzMNbrItNBaudG-mAT6rAFVcm-jN2Gs4OpOyib6rNGYf7HSqD_rg-12Cp6vLx_Ob7O7--vb89C5rCopiVrRNqboOsbbkgmjSCVSRVjCFayFaVdesY4jxGhFesaYpua6xqCvMk8aE1MUSHG_6jt69TTpEOZjQ6L5XVrspSMxpQXElBEn06A99cZO36XdJIVGWBeMiqWKjGu9C8LqTozeD8h8SIzlfQM77lfN-JSWSyvkCKZVvUsaNv9r-k_gCq3GG-g</recordid><startdate>20151001</startdate><enddate>20151001</enddate><creator>Pitre, L</creator><creator>Risegari, L</creator><creator>Sparasci, F</creator><creator>Plimmer, M D</creator><creator>Himbert, M E</creator><creator>Giuliano Albo, P A</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20151001</creationdate><title>Determination of the Boltzmann constant k from the speed of sound in helium gas at the triple point of water</title><author>Pitre, L ; Risegari, L ; Sparasci, F ; Plimmer, M D ; Himbert, M E ; Giuliano Albo, P A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c350t-3dc4aff06d4792e2f9082d96a1b99dabb6f6067b02786cc47eb19b817792122b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Acoustic resonance</topic><topic>Boltzmann constant</topic><topic>Constants</topic><topic>definition of the Kelvin</topic><topic>Extrapolation</topic><topic>Frequencies</topic><topic>Helium</topic><topic>Measurement</topic><topic>Metrology</topic><topic>Microwave resonance</topic><topic>quasi-sphere</topic><topic>Sound</topic><topic>speed of sound</topic><topic>triaxial ellipsoid</topic><topic>Velocity</topic><topic>Water</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pitre, L</creatorcontrib><creatorcontrib>Risegari, L</creatorcontrib><creatorcontrib>Sparasci, F</creatorcontrib><creatorcontrib>Plimmer, M D</creatorcontrib><creatorcontrib>Himbert, M E</creatorcontrib><creatorcontrib>Giuliano Albo, P A</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Metrologia</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pitre, L</au><au>Risegari, L</au><au>Sparasci, F</au><au>Plimmer, M D</au><au>Himbert, M E</au><au>Giuliano Albo, P A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Determination of the Boltzmann constant k from the speed of sound in helium gas at the triple point of water</atitle><jtitle>Metrologia</jtitle><stitle>MET</stitle><addtitle>Metrologia</addtitle><date>2015-10-01</date><risdate>2015</risdate><volume>52</volume><issue>5</issue><spage>S263</spage><epage>S273</epage><pages>S263-S273</pages><issn>0026-1394</issn><eissn>1681-7575</eissn><coden>MTRGAU</coden><abstract>The Boltzmann constant k has been determined from a measurement of the speed of sound in helium gas in a quasi-spherical resonator (volume 0.5 l) maintained at a temperature close to the triple point of water (273.16 K). The acoustic velocity c is deduced from measured acoustic resonance frequencies and the dimensions of the quasi-sphere, the latter being obtained via simultaneous microwave resonance. Values of c are extrapolated to the zero pressure limit of ideal gas behaviour. We find J⋅K−1, a result consistent with previous measurements in our group and elsewhere. The value for k, which has a relative standard uncertainty of 1.02 ppm, lies 0.02 ppm below that of the CODATA 2010 adjustment.</abstract><cop>Bristol</cop><pub>IOP Publishing</pub><doi>10.1088/0026-1394/52/5/S263</doi><tpages>11</tpages></addata></record> |
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| ispartof | Metrologia, 2015-10, Vol.52 (5), p.S263-S273 |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Acoustic resonance Boltzmann constant Constants definition of the Kelvin Extrapolation Frequencies Helium Measurement Metrology Microwave resonance quasi-sphere Sound speed of sound triaxial ellipsoid Velocity Water |
| title | Determination of the Boltzmann constant k from the speed of sound in helium gas at the triple point of water |
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