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Wave Nature of Light

electromagnetic radiation - aka radiant energy  

  • visible light is a type of electronmagnetic radiation
  • speed of light = 3.00 x 108 m/s
  • wavelength - distance between successive peaks/troughs
  • frequency - # of complete wavelengths/cycles that pass a point per second
  • amplitude - intensity of radiation; max height of wave
  • (frequency)(wavelength) = speed of light = c = nl
    • frequency = n
    • wavelength = l
  • smaller wavelength >> higher frequency >> more powerful radiation

Planck's constant - 6.63 x 10-34 J-s  

  • quantum - "fixed amount;" smallest quantity of energy that can be emitted/absorbed
  • energy always emitted in chunks of minimum size
  • energy = Planck's constant x frequency
    • E = hn
  • energy quantized, can only increase in steps (though steps are extremely small)
  • photoelectric effect - photons striking metals cause electrons to be emitted
    • photon - energy packet, transfers energy to electrons
    • energy of photon = E = hn
  • 6.02 x 1023 photons per mol

Find energy of 1 photon light w/ wavelength 589 nm  

  • c = nl
  • 3.00 x 108 m/s = n(589 nm)
  • n = (3.00 x 108 m/s) / (5.89 x 10-7 m) = 5.09 x 1014 s-1
  • E = hn
  • E = (6.63 x 10-34 J-s)(5.09 x 1014 s-1) = 3.37 x 10-19 J/photon
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