Improved determination of the Boltzmann constant using a single, fixed-length cylindrical cavity
Improved determination of the Boltzmann constant using a single, fixed-length cylindrical cavity
复制标题
使用单个固定长度的圆柱形腔改进玻尔兹曼常数的测定
DOI：
10.1088/0026-1394/50/5/417
复制
发表时间：
2013-10-01
期刊：
影响因子：
2.4
通讯作者：
Duan, Y. Y.
中科院分区：
文献类型：
--
作者：
Lin, H.;Feng, X. J.;Duan, Y. Y.
我们报告了对之前（Zhang et al 2011 Int. J. Thermophys. 32 1297）使用单个 80 mm 长圆柱形腔测定玻尔兹曼常数 kB 的改进。在这项工作中，充气谐振腔的形状更接近完美的圆柱体，并且测温性能也得到了改进。我们使用了两种不同等级的氩气，每种都测量了相对同位素丰度，并且使用了两种不同的支撑谐振器的方法。对每种气体和每种配置的测量重复多次，总共运行 14 次。我们通过考虑热粘性边界层频率的某些二阶扰动改进了声学数据的分析。数据的加权平均值为 kB = 1.380 6476 × 10−23 J K−1，相对标准不确定度 ur(kB) = 3.7 × 10−6。该结果与 2010 年 CODATA 推荐的值相差 (−0.9 ± 3.7) × 10−6。在这项工作中，相对不确定性的最大组成部分是由不同声学模式确定的 kB 值不一致造成的；它是 2.9 × 10−6。在我们之前的工作中，该分量为 7.6 × 10−6。
We report improvements to our previous (Zhang et al 2011 Int. J. Thermophys. 32 1297) determination of the Boltzmann constant kB using a single 80 mm long cylindrical cavity. In this work, the shape of the gas-filled resonant cavity is closer to that of a perfect cylinder and the thermometry has been improved. We used two different grades of argon, each with measured relative isotopic abundances, and we used two different methods of supporting the resonator. The measurements with each gas and with each configuration were repeated several times for a total of 14 runs. We improved the analysis of the acoustic data by accounting for certain second-order perturbations to the frequencies from the thermo-viscous boundary layer. The weighted average of the data yielded kB = 1.380 6476 × 10−23 J K−1 with a relative standard uncertainty ur(kB) = 3.7 × 10−6. This result differs, fractionally, by (−0.9 ± 3.7) × 10−6 from the value recommended by CODATA in 2010. In this work, the largest component of the relative uncertainty resulted from inconsistent values of kB determined with the various acoustic modes; it is 2.9 × 10−6. In our previous work, this component was 7.6 × 10−6.