Presentation3_060927

Presentation3_060927 - Chem 6A Presentation#3 Overview...

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Chem 6A Presentation #3 2006-09-27 1 Overview Chapter 1: The Quantum World The wave-particle duality of matter The Heisenberg Uncertainty Principle Wavefunctions and their energy levels
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2 The wave-particle duality of matter Louis de Broglie attempted to explain certain phenomena (e.g., electron diffraction, the restricted energy levels of an atom) by proposing that matter has wave-like properties (like the standing waves of a guitar string). Stable waves are restricted to integer multiples of ½ wavelength (for linear strings) or integer multiples of 1 wavelength (for circular strings).
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3 The de Broglie hypothesis All matter has a wave-like nature. A simple equation relates the wavelength (λ) and the momentum ( p = mv ) of a particle. ( v : velocity; h : Planck's constant) λ = h/p = h/(mv ) Evidence for this is now put into use in technology: electron microscopy and electron diffraction.
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4 The de Broglie hypothesis λ = h / p = h /( mv ) The wavelength of an object is inversely proportional to its velocity ( v ).
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