Difference between revisions of "Stefan-Boltzmann law"
From Encyclopedia of Mathematics
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| + | $#C+1 = 4 : ~/encyclopedia/old_files/data/S087/S.0807580 Stefan\ANDBoltzmann law | ||
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| − | + | 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). | |
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====References==== | ====References==== | ||
| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> M. Born, "Atomic physics" , Blackie & Son (1958)</TD></TR></table> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> M. Born, "Atomic physics" , Blackie & Son (1958)</TD></TR> | ||
| + | </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=15116
Stefan-Boltzmann law. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Stefan-Boltzmann_law&oldid=15116
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article