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Unformatted text preview: integral number of wavelengths during its orbit. Otherwise, it would interfere destructively with itself. This condition may be written as (7) If we use the de Broglie relation ( 4 ), this can be rewritten as (8) which is identical to Bohr's equation ( 2 ). Although de Broglie's equation justifies Bohr's quantization assumption, it also demonstrates a deficiency of Bohr's model. Heisenberg showed that the waveparticle duality leads to the famous uncertainty principle (9) One result of the uncertainty principle is that if the orbital radius of an electron in an atom is known exactly, then the angular momentum must be completely unknown. The problem with Bohr's model is that it specifies exactly and it also specifies that the orbital angular momentum must be an integral multiple of . Thus the stage was set for a new quantum theory which was consistent with the uncertainty principle....
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This note was uploaded on 11/22/2011 for the course CHEMISTRY CHM1025 taught by Professor Laurachoudry during the Fall '10 term at Broward College.
 Fall '10
 LauraChoudry
 Chemistry, pH

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