Plancks strålingslov

Plancks strålingslov beskriver den elektromagnetiske stråling, som udsendes fra et legeme, der ellers er helt sort - et såkaldt sort legeme. Sortlegemestrålingen for hver frekvens $\nu$ er i følge Plancks lov givet ved:

B_{\nu }={\frac {2h}{c^{2}}}{\frac {\nu ^{3}}{{\text{e}}^{\frac {h\nu }{k_{\text{B}}T}}-1}}

hvor $B_{\nu }$ er radiansen, hvilket er effekten pr. areal, pr. rumvinkel og pr. frekvens. Plancks konstant er skrevet som $h$ , $c$ er lysets hastighed i vakuum, $k_{\text{B}}$ er Boltzmanns konstant, og $T$ er temperaturen af det sorte legeme, målt i Kelvin. Plancks lov kan bruges til at udlede både Wiens forskydningslov og Stefan-Boltzmanns lov.^[1]

Radiansen $B_{\lambda }$ pr. bølgelængde $\lambda$ i stedet for frekvens er givet ved:^[1]

B_{\lambda }={\frac {2hc^{2}}{\lambda ^{5}}}{\frac {1}{{\text{e}}^{\frac {hc}{\lambda k_{\text{B}}T}}-1}}

Historisk var Plancks strålingslov en af de første kvantemekaniske resultater.

Kildehenvisninger

^ ^a ^b Blundell, Stephen J.; Blundell, Katherine M. (2006). "23.6 Black body distribution". Concepts in Thermal Physics (engelsk) (1. udgave). Oxford University Press. s. 254-257. ISBN 978-0-19-856770-7.

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