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Unformatted text preview: Ch24 Midterm, Winter 2011 Closed Homework. Closed Book. Open Notes and ppts. Time Limit: 4 hours Relevant equations are found on the last page. Please do all of your work on separate paper. 1. Given the following trial wavefunction in polar coordinates: g = G a) Use the variational principle to find the value of the parameter . Use the following Hamiltonian: = 2 G 4 b) Calculate the minimized energy. c) Next, calculate the coefficient to normalize the trial wavefunction over all space. d) Using the fact that the Bohr radius is given by: = 4 G Compare your normalized wavefunction to the actual hydrogen 1s orbital wavefunction by plugging back in. (Give me a sense of how close your values are to the actual 1s value) g1 = 1 / G / 2. The bonding and antibonding molecular orbitals for H 2 + are given below: a) Label which is bonding and which is antibonding. b) Given the two following energy expressions for H 2 + : = 1 = + 1 + Which expression gives the energy of the bonding and antibonding states for H 2 and why? 3. Indicate which atoms are in the same plane in the following peptide molecule and explain why. 4. Using the Walsh Correlation bent....
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This document was uploaded on 01/03/2012.
 Fall '09

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