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Ch_322a_1.06 - Quantum Mechanics The development of quantum...

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Quantum Mechanics The development of quantum mechanics in the late 1920s led to a better understanding of the relationship between electronic and molecular structures. Louis de Broglie, as a graduate student working on his Ph D in physics at the Sorbonne in 1924, reasoned: If radiant energy under some conditions behaved as a stream of particles, could not particles under some conditions show the properties of radiant energy...a wave? He proposed that an electron in an orbit around a nucleus (a Bohr orbit) would have wave properties . There would be a characteristic wavelength ( ! ) associated with an electron in a particular Bohr orbit (an electron of particular energy): ! = h/mv where h is Planck's constant, m is the mass of the electron, and v is its velocity.
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Wave Mechanics A wave is a series of crests and troughs that repeat. A wave is described mathematically as a repeating function ( ! , psi ) with positive and negative numerical values that repeat as a function of distance (X) and time. ! wave function (+) (-) (+) (-) x A wave may be a traveling wave moving in a direction (x), or a standing or stationary wave between two points.
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Standing Waves A standing wave
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