BohrPost - De Broglie an electron in an atom is more like...

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http://physics.bu.edu/cc104/!debrogl.jpg De Broglie: an electron in an atom is more like standing wave than an orbiting charged particle. This implies that the electron as standing wave pattern can exist only at certain specific distances “r” from the nucleus, such that 2 B r = n 8 , where n is an integer (1, 2, 3, . ..); i.e. only an integral number of waves fit into the “orbit.” This in turn implies that the energy of atoms is quantized.
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This is consistent with experiment, which shows that the energy emitted by atoms is quantized.
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r 1 10 053 10 .m r 2 10 212 10 r 3 10 477 10 E 13.6 eV 1 = − E3 . 4 e V 2 = − E1 . 5 e V 3 = − Proton n = 1 n = 2 n = 3 Ground State First Excited State Second Excited State The Bohr Model for the H-atom was the first to make use of this idea of quantized energies. In the Bohr atom, the electron can exist in certain quantized states, and not between, and when it is in one of these “stationary” states, it is assumed not to emit energy.
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p + Photon Energy = = hf E E 32 e n = 1 n = 2 n = 3
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This note was uploaded on 04/17/2008 for the course PHYSICS 135-3 taught by Professor Brown during the Spring '08 term at Northwestern.

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BohrPost - De Broglie an electron in an atom is more like...

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