lecture15 (11-3-2006) Ch 8

lecture15 (11-3-2006) Ch 8 - Chemistry 2A-c F2005...

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1 de Broglie posed the question: For a photon For a particle with mass m moving at v λ h p = h m = v p h m h = = v “If light energy has particle-like properties, does matter have wave-like properties?” WAVE-PARTICLE DUALITY! de Broglie postulated: So that Chemistry 2A Chemistry 2A -c F2005 c F2005 (Ch8 (Ch8 -26)122 26)122
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2 θ electron gun electrometer- detects electrons as current angle (q) current constructive interference destructive interference Davisson and Germer verified de Broglie’s ideas by measuring electron reflection off a piece of nickel metal: The diffraction of the electron beam shows that electrons really do have wave properties! Chemistry 2A Chemistry 2A -c F2006 c F2006 (Ch8 (Ch8 -27)123 27)123
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3 θ electrometer Thomson passed an electron beam through a sheet of gold foil rather than reflecting it off a metal surface: gold foil electron gun angle ( θ) current He observed………. INTERFERENCE Chemistry 2A Chemistry 2A -c F2006 c F2006 (Ch8 (Ch8 -28)124 28)124 WAVE-PARTICLE DUALITY…. .
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4 Example : What are the wavelengths of a 0.10 kg ball moving at 35 m/s and an electron moving at 1.0 x 10 7 m/s? v m h = λ ) / 35 )( 10 . 0 ( 10 626 . 6 34 s m kg Js × = 1J = kg m 2 s -2 = 1.9 x 10 -34 m Ball: h = 6.626 x 10 -34 J s Solution : Chemistry 2A Chemistry 2A -c F2006 c F2006 (Ch8 (Ch8 -29)125 29)125 kg m 31 10 11 . 9 × = Electron: ) / 10 1 )( 10 11 . 9 ( 10 626 . 6 7 31 34 s m kg Js × × × = =7.3 x 10 -11 m The more massive particle has an immeasureably small wavelength!
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5 All matter and energy shows both particle-like and wave-like
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This note was uploaded on 04/23/2008 for the course CHEM 2A taught by Professor Guo during the Fall '08 term at UC Davis.

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lecture15 (11-3-2006) Ch 8 - Chemistry 2A-c F2005...

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