history of physics-einsteinbrownianmotion

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Instruments University of Toronto Scientific Instruments Collection Preservation of scientific instruments www.utsic.org Kirchoff 1824 - 1887 D-line... Kirchoff’s theorem (1859). Formulating an idea for black body radiation Ev / Av = J(v, T)...didn't know what the form of J was A black body has Av = 1 challenged physicists to find the function of J To find J, needed to define a black body and other things Stefan Boltzmann developed the J function further, found the Stefan Boltzmann law, which defines the energy for a range of frequency Wein’s displacement law Wein guessed a function for rho(v, T)...which was a part of the Stefan-Boltzmann law didn’t work for measurements in the far infrared light region Einstein later uses this guess to develop his heuristic viewpoint Planck Planck guessed another formula for rho(v, T) (1900) worked for a lot more experimental results for oscillators in emf, joint equilibrium condition where the frequency distribution, rho, is balanced with the energy in the oscillators decided to work backwards to find U (energy of oscillator) found the entropy of the linear oscillators, got back to the Planck Distribution (by counting discrete energy quanta) Einstein started by pointing out problems with Planck’s derivation integrating planck’s distribution over all frequencies theoretically gives you infinity...doesn’t make sense heuristically - rule of thumb approach...which is why it had a hard time getting accepted as a theory inphysics because he only used Wein’s region of the distribution and a classical ideal gas how serious do we take this heuristic viewpoint is a strong facet of the paper uses the thermodynamics of an ideal gas in a subvolume to develop the behaviour of radiation in a subvolume monochromatic radiation of low density...behaves thermodynamically as if consisted of

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EinsteinBrownianMotion

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  • Instruments University of Toronto Scientific Instruments Collection

    Preservation of scientific instruments www.utsic.org

    Kirchoff 1824 - 1887 D-line... Kirchoffs theorem (1859). Formulating an idea for black body radiation

    Ev / Av = J(v, T)...didn't know what the form of J was A black body has Av = 1 challenged physicists to find the function of J To find J, needed to define a black body and other things

    Stefan Boltzmann developed the J function further, found the Stefan Boltzmann law, which defines the

    energy for a range of frequency Weins displacement law Wein guessed a function for rho(v, T)...which was a part of the Stefan-Boltzmann law didnt work for measurements in the far infrared light region Einstein later uses this guess to develop his heuristic viewpoint

    Planck Planck guessed another formula for rho(v, T) (1900) worked for a lot more experimental results for oscillators in emf, joint equilibrium condition where the frequency distribution, rho, is

    balanced with the energy in the oscillators decided to work backwards to find U (energy of oscillator) found the entropy of the linear oscillators, got back to the Planck Distribution (by

    counting discrete energy quanta) Einstein started by pointing out problems with Plancks derivation integrating plancks distribution over all frequencies theoretically gives you

    infinity...doesnt make sense heuristically - rule of thumb approach...which is why it had a hard time getting accepted

    as a theory inphysics because he only used Weins region of the distribution and a classical ideal gas how serious do we take this heuristic viewpoint is a strong facet of the paper

    uses the thermodynamics of an ideal gas in a subvolume to develop the behaviour of radiation in a subvolume

    monochromatic radiation of low density...behaves thermodynamically as if consisted of

  • mutually independent energy quanta of magnitude [=hv] proves stokes rule using quantum analysis and conservation of energy and then photoelectric effect

    Photoelectric effect Hertz, spark experiments cathode rays are disturbances in the aether