120A_PS5 - radius, and compare your results to what is seen...

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Chemistry 120A Problem Set 5 (due March 5, 2010) 1. McQuarrie and Simon’s Problem 5-27. 2. McQuarrie and Simon’s Problems 6-17, 6-18, 6-29 and 6-34. 3. The stationary states of the hydrogen atom are atomic orbitals, and their spa- tial structure implies much about the chemistry of atoms and molecules. Lo- cate the nodes, extrema, and most probable values for the electron-proton sepa- ration, r , for a hydrogen atom in each of the following stationary states: ( n,‘ ) = (1 , 0) , (2 , 0) , (2 , 1) , (3 , 0) and (3 , 1). (The wave functions for these states are given in McQuarrie and Simon’s Table 6.6.) Express your answers in terms of the Bohr
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Unformatted text preview: radius, and compare your results to what is seen in the graphs of McQuarrie and Simons Figure 6.3. 4. Suppose a He + ion is in its ground electronic state, and suddenly (at time t = 0) its nucleus emits a proton yielding a hydrogen isotope. Determine the probabilities for nding the resulting hydrogen in stationary states with (a) ( n, ) = (1 , 0), a 1s state, (b) ( n, ) = (2 , 0), a 2s state, (c) and ( n, ) = (2 , 1), a 2p state. 1...
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