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- “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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- An atom consists of an atomic nucleus (protons and neutrons) and a cloud
of electrons surrounding it.
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- The kind of atom depends on the number of protons in the nucleus.
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- Electron orbits in the electron cloud are restricted to very specific
radii and energies.
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- An electron can be kicked into a higher orbit when it absorbs a photon
with exactly the right energy.
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- 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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- 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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- 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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- 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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- 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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- 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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- 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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- Balmer line strength is sensitive to temperature:
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- Take l0 of the Ha (Balmer alpha) line:
- l0 = 656 nm
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