A. Waves  Wavelength ( ) - length of one complete wave  Frequency ( ) - # of waves that pass a point during a certain time period hertz (Hz) = 1/s 

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A. Waves  Wavelength ( ) - length of one complete wave  Frequency ( ) - # of waves that pass a point during a certain time period hertz (Hz) = 1/s  Amplitude (A) - distance from the origin to the trough or crest

A. Waves A greater amplitude (intensity) greater frequency (color) crest origin trough A

B. EM Spectrum LOWENERGYLOWENERGY HIGHENERGYHIGHENERGY 1nm = 1x10 -9 m

B. EM Spectrum LOWENERGYLOWENERGY HIGHENERGYHIGHENERGY ROYG.BIV redorangeyellowgreenblueindigoviolet

B. EM Spectrum  Frequency & wavelength are inversely proportional c = c:speed of light (3.00  10 8 m/s) :wavelength (m, nm, etc.) :frequency (Hz)

B. EM Spectrum  EX: Find the frequency of a photon with a wavelength of 434 nm. GIVEN: = ? = 434 nm = 4.34  m c = 3.00  10 8 m/s WORK : = c = 3.00  10 8 m/s 4.34  m = 6.91  Hz

C. Quantum Theory  Planck (1900) Observed - emission of light from hot objects Concluded - energy is emitted in small, specific amounts (quanta) Quantum - minimum amount of energy change

C. Quantum Theory  Planck (1900) vs. Classical TheoryQuantum Theory

C. Quantum Theory  Einstein (1905) Observed - photoelectric effect

C. Quantum Theory  Einstein (1905) Concluded - light has properties of both waves and particles “wave-particle duality” Photon - particle of light that carries a quantum of energy

C. Quantum Theory E:energy (J, joules) h:Planck’s constant (  J·s) :frequency (Hz) E = h zThe energy of a photon is proportional to its frequency.

C. Quantum Theory  EX: Find the energy of a red photon with a frequency of 4.57  Hz. GIVEN: E = ? = 4.57  Hz h =  J·s WORK : E = h E = (  J·s ) ( 4.57  Hz ) E = 3.03  J