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Exact research on the theory of the blackbody thermal radiation

View Article: PubMed Central - PubMed

ABSTRACT

After studying the normalized Planck equation in depth, a brand-new type of spectrum curves of blackbody thermal radiation is given. Two important parameters of the new type curves, namely relative width RWη and symmetric factor RSFη, are defined. The paper points out that the experimental verification of the parameters has three significant applications: (1) Giving a method to measure temperature by detecting the radiation wavelength. (2) Determining the blackbody grade. (3) The temperature obtained from the law of the blackbody thermal radiation can be used as a criterion.

No MeSH data available.


The curve of the left side of Eq. (6), when η = 0.8, 0.85, and 0.9.
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f2: The curve of the left side of Eq. (6), when η = 0.8, 0.85, and 0.9.

Mentions: For different values of η, Eq. (6) is a series of transcendental equations without analytical solutions, thus a brand-new normalized spectrum curve of the blackbody thermal radiation can be obtained from their numerical solutions. In order to numerically solve (6), it is necessary to determine its roots distribution. Programming to find out the roots of Eq. (6), Fig. 2 shows that, for a given η, the curve has two intersection points with the x-axis, which indicates that the transcendental Eq. (6) has two roots, denoted as xηs and xηl (xηl < xηs). In accordance with Eq. (8), the two roots of xηs and xηl can lead to the wavelengths of ληs and ληl, respectively, which locate on the left and right side of the spectrum curve with the corresponding value of η.


Exact research on the theory of the blackbody thermal radiation
The curve of the left side of Eq. (6), when η = 0.8, 0.85, and 0.9.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5120273&req=5

f2: The curve of the left side of Eq. (6), when η = 0.8, 0.85, and 0.9.
Mentions: For different values of η, Eq. (6) is a series of transcendental equations without analytical solutions, thus a brand-new normalized spectrum curve of the blackbody thermal radiation can be obtained from their numerical solutions. In order to numerically solve (6), it is necessary to determine its roots distribution. Programming to find out the roots of Eq. (6), Fig. 2 shows that, for a given η, the curve has two intersection points with the x-axis, which indicates that the transcendental Eq. (6) has two roots, denoted as xηs and xηl (xηl < xηs). In accordance with Eq. (8), the two roots of xηs and xηl can lead to the wavelengths of ληs and ληl, respectively, which locate on the left and right side of the spectrum curve with the corresponding value of η.

View Article: PubMed Central - PubMed

ABSTRACT

After studying the normalized Planck equation in depth, a brand-new type of spectrum curves of blackbody thermal radiation is given. Two important parameters of the new type curves, namely relative width RW&eta; and symmetric factor RSF&eta;, are defined. The paper points out that the experimental verification of the parameters has three significant applications: (1) Giving a method to measure temperature by detecting the radiation wavelength. (2) Determining the blackbody grade. (3) The temperature obtained from the law of the blackbody thermal radiation can be used as a criterion.

No MeSH data available.