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Difference between revisions of "Stefan-Boltzmann law"

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$$
 
$$
  
where  $  \sigma = ( 5.67032 \pm  0.00071) \cdot 10  ^ {-} 1 Bt/m  ^ {2} \cdot K  ^ {4} $(
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where  $  \sigma = ( 5.67032 \pm  0.00071) \cdot 10  ^ {-1} Bt/m  ^ {2} \cdot K  ^ {4} $(
 
the Stefan–Boltzmann constant). This law was obtained empirically from analysis of experimental data by J. Stefan (1879), and was proposed in thermodynamic terms by L. Boltzmann (1884).
 
the Stefan–Boltzmann constant). This law was obtained empirically from analysis of experimental data by J. Stefan (1879), and was proposed in thermodynamic terms by L. Boltzmann (1884).
 
====Comments====
 
  
 
====References====
 
====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  M. Born,  "Atomic physics" , Blackie &amp; Son  (1958)</TD></TR></table>
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<table>
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  M. Born,  "Atomic physics" , Blackie &amp; Son  (1958)</TD></TR>
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</table>

Latest revision as of 20:45, 16 January 2024


The total emission capacity $ u $ of an absolutely-black body is proportional to the fourth power of its absolute temperature $ T $:

$$ u = \sigma T ^ {4} , $$

where $ \sigma = ( 5.67032 \pm 0.00071) \cdot 10 ^ {-1} Bt/m ^ {2} \cdot K ^ {4} $( the Stefan–Boltzmann constant). This law was obtained empirically from analysis of experimental data by J. Stefan (1879), and was proposed in thermodynamic terms by L. Boltzmann (1884).

References

[a1] M. Born, "Atomic physics" , Blackie & Son (1958)
How to Cite This Entry:
Stefan-Boltzmann law. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Stefan-Boltzmann_law&oldid=48828
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article