L03AtomicII145s10

L03AtomicII145s10 - Lecture 3, spring 2010 ENGR 145:...

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Unformatted text preview: Lecture 3, spring 2010 ENGR 145: Chemistry of Materials Case Western Reserve University Lecture 3 Atomic Theory II From the Bohr model to Schrdingers wave equation Reading assignment: OGC 4.4-4.5, 5.1, 5.3-5.4 Learning objectives: Recognize the wave-particle duality of electrons Understand consequences of the Schrdinger equation : the shape of electron orbitals in atoms the electronic conFgurations of atoms the form of the periodic table of the elements Know how the Heisenberg uncertainty principle limits the precision with which we can know something s position, momentum, and energy Lecture 3, spring 2010 ENGR 145: Chemistry of Materials Case Western Reserve University Wave Nature of Matter (OGC 4.4) Some classical physical systems have quantized states and a wave nature, e.g the standing wave of a vibrating string: DeBroglie: If energy of an e in a Bohr radius has quantized energy, does it also have a wavelength? , 2 L n = ,... 3 , 2 , 1 = n Lecture 3, spring 2010 ENGR 145: Chemistry of Materials Case Western Reserve University Wave Nature of Matter (OGC 4.4) Some classical physical systems have quantized states and a wave nature, e.g the standing wave of a vibrating string: DeBroglie: If energy of an e in a Bohr radius has quantized energy, does it also have a wavelength? , 2 L n = ,... 3 , 2 , 1 = n 4.17 Lecture 3, spring 2010 ENGR 145: Chemistry of Materials Case Western Reserve University Allowed wavelengths: Bohr assumed quantized angular momentum: Comparing (a) and (b) gives: where p = momentum De Broglie Wavelength of Electrons (OGC 4.4) 2 r = n h m e v n = 2 r ,... 3 , 2 , 1 = n = h m e v = h p 4.18 (b) (a) Lecture 3, spring 2010 ENGR 145: Chemistry of Materials Case Western Reserve University...
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This note was uploaded on 01/30/2011 for the course EMSE 103 taught by Professor Ggh during the Spring '10 term at Case Western.

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L03AtomicII145s10 - Lecture 3, spring 2010 ENGR 145:...

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