Lect16_drobny_11 - Lecture 16: Intro. to Quantum Wave...

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Lecture 16: Intro. to Quantum Wave Mechanics • Reading: Zumdahl 12.5, 12.6 • Recommended Problems: 12.45, 12.47, 12.49, 12.51 • Outline – Basic concepts. – A model system: particle in a box. – Applications
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The Nuclear Atom: Quantum vs. Classical Property Classical Bohr’s Model Angular momentum (L) L=m e Vr =no restrictions Orbital radius r=no restrictions r n =n 2 a 0 a 0 =0.529x10 -10 m Electron energy E=no restrictions Emission spectrum continuous discrete (correct) Consequences Atom collapses Atom stable
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Solvay Conference (1911)
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Quantum Concepts (cont.) Louis de Broglie suggests that for the e - orbits envisioned by Bohr, only certain orbits are allowed since they satisfy the standing wave conditions. For a line or circle: c: not allowed
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Quantum Concepts (cont.) • This new description was known as wave mechanics or quantum mechanics. • de Broglie’s standing wave idea: + Bohr’s quantization hypothesis: gives de Broglie’s wave equation: • The idea behind wave mechanics was that the existence of the electron in Fxed energy levels could be though of as a “standing wave”. So an electron has both a wavelength λ and a momentum p=mV…and they are related… λ =h/p.
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Quantum Concepts (cont.) • What is a standing wave? • A standing wave is a motion in
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This note was uploaded on 01/18/2012 for the course CHEM 152A taught by Professor Chiu during the Fall '12 term at University of Washington.

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Lect16_drobny_11 - Lecture 16: Intro. to Quantum Wave...

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