Chapter 8_Part II_F2006

Chapter 8_Part II_F2006 - Suggestion any moving particle...

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Suggestion: any moving particle has an associated wavelength Reality: for λ to be large enough to measure, the product of m and v  must be very small because h is so small (6.626 x 10 -34  J s) EX. Compare the wavelength of a 114 g baseball traveling at 109  mph (about 175,000 m / hr = 49 m / s) from the arm of Ricky "Wild Thing" Vaughn to the wavelength of an electron with a mass of 9.109  x 10 -28  g traveling at the speed of light (3.00 x 10 8  m / s).
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************************** Where are we now? Quantum mechanics or WAVE MECHANICS  and the view of the atom Enter: Erwin Schrodinger The idea: the electron in an atom can be described by equations for  wave motion The debate: the wave-like nature of electrons was confirmed by experiment J. J. Thomson measured the charge-to-mass ration of  electrons; that confirms their particle-like nature How can an electron be both particle-like and wave-like? only if it has dual properties . ..  WAVE-PARTICLE  DUALITY  Enter: Werner Heisenberg ...  Heisenberg's uncertainty principle  ... (OK OK OK  "indeterminacy principle") impossible to fix BOTH position AND energy with any certainty in the atomic world (note: no problem in the macroscopic world) rough estimate of minimum indeterminacy: ( p)( x) > h/4 π
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EX.: Suppose you use photons of red light ( λ = 6.8 x 10 -7  m) are  used to locate the position of Ricky Vaughn pitched baseball in the  previous example to an accuracy of one wavelength.  What is the  minimum indeterminacy in the speed of the pitch? Suppose the location of an electron is determined to within the Bohr  radius. Calculate the minimum indeterminacy in its speed. What is the  take-home lesson here? best we can do: calculate the 
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This note was uploaded on 02/27/2008 for the course CHEM 025 taught by Professor X during the Fall '06 term at Lehigh University .

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Chapter 8_Part II_F2006 - Suggestion any moving particle...

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