lecture5 - 5.61 F all 2007 Lecture #5 page 1 WAVE-PARTICLE...

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5.61 Fall 2007 Lecture #5 page 1 WAVE-PARTICLE DUALITY of LIGHT and MATTER (A) Light (electromagnetic radiation) Light as a wave For now we neglect the polarization vector orientation Propagating in x-direction: ξ 0 0 x (const. t ) or t (const. x ) ( x , t ) = 0 sin 2 π ( x ct ) λ 2 Define k = (“wavevector” magnitude) At some fixed time, say = 0, can write simply x , t = 0 ) = 0 ( ) ( sin kx Superposition principle sin( kx ) Constructive + = 2sin( ) interference sin( ) (in phase)
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5.61 Fall 2007 Lecture #5 page 2 sin( kx + π ) (out of phase by λ /2) This leads to many interference phenomena Young’s 2-slit experiment D M λ = s M D = s Light as a particle Compton exp’t If just a wave, expect light to scatter off electron Experimentally: e- x-rays ( 1 Å ) e- e- λ′ Destructive + = 0 interference sin( kx ) light, s l D Interference pattern screen observed
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5.61 Fall 2007 Lecture #5 page 3 The backscattered wave is red-shifted ( λ > ), i.e. less energy/photon.
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This note was uploaded on 04/14/2011 for the course CHEM 2211 taught by Professor Na during the Spring '11 term at University of Florida.

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lecture5 - 5.61 F all 2007 Lecture #5 page 1 WAVE-PARTICLE...

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