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- The Electromagnetic Spectrum, Light, Astronomical Tools
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- The Electromagnetic Spectrum
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- Light waves are characterized by a wavelength l and a frequency f.
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- Different colors of visible light correspond to different wavelengths.
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- “There is no dark side really.
It’s all dark.” -- Pink Floyd
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- What is wrong with this picture?
- Front: Not all primary colors (eg, pink, magenta), also refraction
angles inconsistent
- Back: Spectrum is Convergent – I think done for art’s sake
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- Wavelengths of light are measured in units of nanometers (nm) or angstrom
(Å):
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- Light can also appear as particles, called photons (explains, e.g.,
photoelectric effect).
- A photon has a specific energy E, proportional to the frequency f:
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- Real life example: Ultra-Violet
light hitting your skin (important in Laramie!)
- Threshold for chemical damage set by energy (wavelength) of photons
- Below threshold (long wavelengths) energy too weak to cause chemical
changes
- Above threshold (short wavelength) energy photons can break apart DNA
molecules
- Number of molecules damaged = number of photons above threshold
- Very unlikely two photons can hit exactly together to cause damage
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- Thermal energy is “kinetic energy” of moving atoms and molecules
- Hot material energy has more energy available which can be used for
- Chemical reactions
- Nuclear reactions (at very high temperature)
- Escape of gasses from planetary atmospheres
- Creation of light
- Collision bumps electron up to higher energy orbit
- It emits extra energy as light when it drops back down to lower
energy orbit
- (Reverse can happen in absorption of light)
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- Want temperature scale with energy proportional to T
- Celsius scale is “arbitrary”
(Fahrenheit even more so)
- 0o C = freezing
point of water
- 100o C = boiling point of water
- By experiment, available energy = 0 at “Absolute Zero” = –273oC (-459.7oF)
- Define “Kelvin” scale with same step size as Celsius, but 0K = -273oC
= Absolute Zero
- Use Kelvin Scale for most astronomy work
- Available energy is proportional to T, making equations simple (really!
OK, simpler)
- 273K = freezing point of water
- 373K = boiling point of water
- 300K approximately room
temperature
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- Hot objects glow (emit light) as seen in PREDATOR, SSC Video, etc.
- Heat (and collisions) in material causes electrons to jump to high
energy orbits, and as electrons drop back down, some of energy is
emitted as light.
- Reason for name “Black Body Radiation”
- In a “solid” body the close packing of the atoms means than the
electron orbits are complicated, and virtually all energy orbits are
allowed. So all wavelengths of
light can be emitted or absorbed. A
black material is one which readily absorbs all wavelengths of
light. These turn out to be the
same materials which also readily emit all wavelengths when hot.
- The hotter the material the more energy it emits as light
- As you heat up a filament or branding iron, it glows brighter and
brighter
- The hotter the material the more readily it emits high energy (blue)
photons
- As you heat up a filament or branding iron, it first glows dull red,
then bright red, then orange, then if you continue, yellow, and
eventually blue
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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. Thermal camera operates at
7-14 μm.
- What is temperature of the sun – which has maximum intensity at roughly
0.5 mm?
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- Hot solids emit continuous spectra
- Hot gasses try to do this, but can only emit discrete wavelengths
- Cold gasses try to absorb these same discrete wavelengths
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- Molecules: Multiple atoms
sharing/exchanging electrons (H2O,
CH4)
- Ions: Single atoms where
one or more electrons have escaped
(H+)
- Binding energy: Energy needed to
let electron escape
- Permitted “orbits” or energy levels
- From quantum mechanics, only certain “orbits” are allowed
- Ground State: Atom with electron
in lowest energy orbit
- Excited State: Atom with at
least one atom in a higher energy orbit
- Transition: As electron jumps
from one energy level orbit to another,
atom must
release/absorb energy different, usually as light.
- Because only certain orbits are allowed, only certain energy jumps are
allowed, and atoms can absorb or emit only certain energies
(wavelengths) of light.
- In complicated molecules or “solids” many transitions are allowed
- Can use energy levels to
“fingerprint” elements and estimate temperatures.
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- Energy absorbed/emitted depends on upper and lower levels
- Higher energy levels are close together
- Above a certain energy, electron can escape (ionization)
- Series of lines named for bottom level
- To get absorption, lower level must be occupied
- Depends upon temperature of atoms
- To get emission, upper level must be occupied
- Can get down-ward cascade through many levels
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- 3. Magnifying Power = ability of the telescope to make the image appear
bigger.
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- Ultraviolet radiation with l < 290 nm is completely absorbed in the
ozone layer of the atmosphere.
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- The Chandra X-ray Telescope
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- Chandra is the first X-ray telescope to have image as sharp as optical
telescopes.
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- Discovered by a Wyoming grad student and professor. The “Cowboy Cluster” – an overlooked
Globular Cluster.
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- Just 400 years ago: (Oct.
9, 1604)
- Then a bright, naked eye object (no telescopes)
- It’s still blowing up – now 14 light years wide and expanding at 4 million
mph.
- There’s material there at MANY temperatures, so many wavelengths are
needed to understand it.
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- A merger-product, and powerful radio galaxy.
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