Gaiser, C. and Fellmuth, B. (2012) Low-Temperature Determination of the Boltzmann Constant by Dielectric-Constant Gas Thermometry. Metrologia, 49, 4-7.
https://doi.org/10.1088/0026-1394/49/1/L02

has been cited by the following article:

• TITLE: The Boltzmann Constant: Evaluation of Measurement Relative Uncertainty Using the Information Approach

  AUTHORS: Boris Menin

  KEYWORDS: Boltzmann Constant, Comparative Uncertainty, Information-Based Approach, Relative Uncertainty

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.3, March 12, 2019

  ABSTRACT: The purpose of this work is to prove that only by applying a theoretically sound information approach to developing a model for measuring the Boltzmann constant, one can justify and calculate the value of the required relative uncertainty. A dimensionless parameter (comparative uncertainty) was proposed as a universal metric for comparing experimental measurements of Boltzmann constant and simulated data. Examples are given of applying the proposed original method for calculating the relative uncertainty in measuring the Boltzmann constant using an acoustic gas thermometer, dielectric constant gas thermometer, Johnson noise thermometer, Doppler broadening thermometer. The proposed approach is theoretically justified and devoid of the shortcomings inherent in the CODATA concept: a statistically significant trend, a cumulative value of consensus or a statistical control. We tried to show how a mathematical-expert formalism can be replaced by a simple, theoretically grounded postulate on the use of information theory in measurements.