Blackbody Radiation PHY361, 20080114 - PowerPoint PPT Presentation
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Blackbody Radiation PHY361, 20080114
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kinetic theory: HEAT is random kinetic energy (thermal motion) of atoms. IDEAL GAS law: PV = N kT ... Rayleigh-Jeans equation: u( ) = 8 kT -4 UV Catastrophe ... – PowerPoint PPT presentation
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Title: Blackbody Radiation PHY361, 20080114
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Blackbody Radiation PHY361, 2008-01-14
- review overview of Classical Statistical
Mechanics - kinetic theory HEAT is random kinetic energy
(thermal motion) of atoms - IDEAL GAS law PV N kT
- EQUIPARTITION theorem 1/2 kT energy per DoF
(degree of freedom) - k heat capacity amount of heat energy needed
to raise the temperature - eg. Maxwell-Boltzman distribution of molecular
velocity in a gas - density of states g(E) of states
(momentum vectors, etc) - distribution function f(E) of particles in
each state fB exp(-E/kT) - blackbody radiation catastrophic failure of
classical stat. mech. - what is blackbody radiation?
- Stefan-Boltzman law R ? T4
- Wiens displacement law ?mT 2.89810-3 mK
- Rayleigh-Jeans equation u(?) 8??kT ?-4
UV Catastrophe - Plancks law u(?) 8? hc
?-5 / (exp(hc/? kT) -1)Plancks constant h
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- IR heat lamp
- red hot
- silver heat shield
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- Stefan-Boltzman law R ? T4
- Wiens displacement law ?mT 2.89810-3 mK
- Rayleigh-Jeans equation u(?) 8??kT ?-4
UV Catastrophe - Plancks law u(?) 8? hc
?-5 / (exp(hc/? kT) -1)
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