Notes
Slide Show
Outline
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Starlight and Atoms
  • Chapter 6
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Chapter 6: Starlight and Atoms
Some Good Star Quotes
  • “Be humble, for the worst thing in the world is of the same stuff as you; be confident, for the stars are of the same stuff as you.” –Nicholai Velimirovic


  • “No pessimist ever discovered the secrets of the stars or sailed to an uncharted land or opened a new heaven to the human spirit.” - Helen Keller
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The Amazing Power of Starlight
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Light and Matter
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Atomic Structure
  • An atom consists of an atomic nucleus (protons and neutrons) and a cloud of electrons surrounding it.
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Different Kinds of Atoms
  • The kind of atom depends on the number of protons in the nucleus.
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Electron Orbits
  • Electron orbits in the electron cloud are restricted to very specific radii and energies.
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Atomic Transitions
  • An electron can be kicked into a higher orbit when it absorbs a photon with  exactly the right energy.
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Color and Temperature
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Black Body Radiation (I)
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Two Laws of Black Body Radiation
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Planck and other Formulae

  • Planck formula gives intensity of light at each wavelength
    • It is complicated.  We’ll use two simpler formulae which can be derived from it.


  • Wien’s law tells us what wavelength has maximum intensity




  • Stefan-Boltzmann law tells us total radiated energy per unit area
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Example of Wien’s law

  • What is wavelength at which you glow?
    • Room T = 300 K so




    • This wavelength is about 20 times longer than what your eye can see.  Camera in class operated at 7-14 μm.


  • What is temperature of the sun – which has maximum intensity at roughly 0.5 mm?
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Example of the Stefan-Boltzmann law

  • Suppose a brown-out causes the temperature of a lamp filament to drop to 0.9 of its original value.  By what factor does the light output of the lamp drop?





  • Using the Stefan-Boltzmann law (with the numerical value of s) we could have calculated how big (in m2) a light filament would have to be to emit 100 W of light, at any given temperature.


  • We could also use it to find the size of a star, if we know how much light energy that star emitted
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The Color Index (I)
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The Color Index (II)
  • We define the Color Index
  • B – V
  • (i.e., B magnitude – V magnitude)


  • The bluer a star appears, the smaller the color index B – V.


  • The hotter a star is, the smaller its color index B – V.
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Kirchhoff’s Laws of Radiation (I)
  • A solid, liquid, or dense gas excited to emit light will radiate at all wavelengths and thus produce a continuous spectrum.
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Kirchhoff’s Laws of Radiation (II)
  • 2. If light comprising a continuous spectrum passes through a cool, low-density gas, the result will be an absorption spectrum.
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Kirchhoff’s Laws of Radiation (III)
  • 3. A low-density gas excited to emit light will do so at specific wavelengths and thus produce an emission spectrum.
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The Spectra of Stars
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Lines of Hydrogen
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The Balmer Lines
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The Balmer Thermometer
  • Balmer line strength is sensitive to temperature:
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Measuring the Temperatures of Stars
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Spectral Classification of Stars (I)
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Spectral Classification of Stars (II)
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The Composition of Stars
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The Doppler Effect
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Example (I):
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Example (II):
  • Take l0 of the Ha (Balmer alpha) line:
  • l0 = 656 nm