Boltzmann constant determined by fluorescent spectroscopy for verifying thermometers

doi:10.1007/s12200-013-0369-z

Front Optoelec

2014, Vol. 7

Issue (1) : 64-68 https://doi.org/10.1007/s12200-013-0369-z

RESEARCH ARTICLE

Boltzmann constant determined by fluorescent spectroscopy for verifying thermometers

Weiwei ZHANG(

), Yiqing GAO, Xingdao HE

Key Laboratory of Nondestructive Testing, Ministry of Education, Nanchang Hangkong University, Nanchang 330063, China

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Abstract

As is always accompanying temperature in physics fundamental principles, Boltzmann constant k_B can be used to verify the accuracy of a thermometer. This paper presents a photoluminescent method to measure k_B via temperature dependent fluorescence of phosphors. Diagram of a phosphor’s energy levels was simplified to illustrate the principle of measurement. The relationship between k_B and h*c (Planck constant h multiplying light speed in vacuum c) was experimentally derived. Finally, the determined k_B was 1.38065 × 10^-23 J/K. The determination could give a value of (1.38±0.1) × 10^-23 J/K even when the in-use spectrometer was with a poor resolution as about 2 nm. At the end, optimization of measuring conditions for the determination process was suggested.

Keywords temperature Boltzmann constant (k_B) Planck constant (h)

Corresponding Author(s): ZHANG Weiwei,Email:zdw@ustc.edu

Issue Date: 05 March 2014

Cite this article:

Weiwei ZHANG,Yiqing GAO,Xingdao HE. Boltzmann constant determined by fluorescent spectroscopy for verifying thermometers[J]. Front Optoelec, 2014, 7(1): 64-68.

URL:

https://academic.hep.com.cn/foe/EN/10.1007/s12200-013-0369-z
https://academic.hep.com.cn/foe/EN/Y2014/V7/I1/64

Fig.1 Selected energy levels of Er for the determination of Boltzmann constant

Fig.2 emission of YO:Er,Yb at various temperature, pumped at 980 nm. Inset: YO:Er,Yb emission in visible range at room temperature

Fig.3 Dependence of YO:Er,Yb fluorescent intensity ratio (I/I) on temperature, where intensities I and I are respectively heights of peaks 2 and 1 in Fig. 2

Tab.1 Boltzmann constant determined by optical spectroscopies

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