• Planck law vs stars / microphysics of BlackBody emission

    From robby@pla.net.invalid@21:1/5 to All on Mon Mar 28 10:45:46 2022
    Hi there !

    From time to time a student ask a question and you realize that you no
    longer understand anything about your physics.
    Here, regarding light emission mechanisms of stars ( nowadays, and 1st generation ):
    ( disclaimer: not native english speaker )

    How is it that stars emit (roughly) a Planck spectrum (let forget the
    case of O & B here), while they are mostly composed of atomic/ionized H
    and He ? (i.e. no mechanical degree of freedom other than velocity).

    - Are the "metals" and dust (if there is any left) doing the job ?
    but then the first generation of stars would not have radiated as a
    Planck spectrum ? ( while they do, right ? )

    - May the recombination and jump lines enough to explain the spectrum ?
    - Possibly with the help of Doppler blurring of the lines ?

    - When the species are largely ionized, might it be that the EM
    waves are directly emitted by the electron plasma (in ~continuous modes, therefore) ? but it seems doubtful to cover the visible frequencies with
    this.

    - Something else ?

    thanks !

    --

    Fabrice

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  • From Michael Dworetsky@21:1/5 to robby@pla.net.invalid on Wed Apr 20 11:26:15 2022
    [[Mod. note -- I apologise to the author and to s.a.r readers for the
    long delay in posting this article, which arrived in the s.a.r moderation system on 2022-Mar-29. (Google's software misclassified this article
    as spam and I failed to notice it promptly in my spam folder. I only
    just now discovered it there.)
    -- jt]]

    On 28/03/2022 10:45, robby@pla.net.invalid wrote:
    Hi there !

    From time to time a student ask a question and you realize that you no longer understand anything about your physics.
    Here, regarding light emission mechanisms of stars ( nowadays, and 1st generation ):
    ( disclaimer: not native english speaker )

    These are all questions covered in courses on stellar atmospheres, and
    access to a good textbook might help a lot.


    How is it that stars emit (roughly) a Planck spectrum (let forget the
    case of O & B here), while they are mostly composed of atomic/ionized H
    and He ? (i.e. no mechanical degree of freedom other than velocity).

    This "problem" only applies in the case of stars with significant
    amounts of neutral H in excited states, for example stars of classes
    B7-A3. Here, the peak of the Planck distribution (used as the source
    function in stellar atmospheres' calculations done in LTE) is around the
    same wavelength as the Balmer Jump (the ionization energy needed to get
    from level n=2 in H to ionization). This gives rise to a big
    discontinuity in opacity around 3650A, so the actual energy distribution
    of the star is not a black body. Similarly, in hotter stars the Lyman discontinuity has the same effect, at 912A, for temperatures of around
    30000K.


    - Are the "metals" and dust (if there is any left) doing the job ?
    but then the first generation of stars would not have radiated as a
    Planck spectrum ? ( while they do, right ? )

    Stars are still mostly made of hydrogen. Metals dominate opacity in the spectra of cool stars, classes K and M. No dust, but there are many
    molecules in the atmospheres of cool stars.


    - May the recombination and jump lines enough to explain the spectrum ?

    Yes, as above, around A0 class.


    - Possibly with the help of Doppler blurring of the lines ?

    This doesn't affect the overall distribution much.


    - When the species are largely ionized, might it be that the EM
    waves are directly emitted by the electron plasma (in ~continuous modes, therefore) ? but it seems doubtful to cover the visible frequencies with this.

    In much hotter stars (e.g., class O) the main source of atmospheric
    opacity is electron scattering, which is essentially continuous, so yes, broadly speaking.


    - Something else ?

    thanks !


    You are welcome.

    --
    Mike Dworetsky

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