Organic Chemistry
Organic Chemistry
12th Edition
ISBN: 9781118875766
Author: T. W. Graham Solomons, Craig B. Fryhle, Scott A. Snyder
Publisher: WILEY
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Chapter 14, Problem 43P

Draw all of the π molecular orbitals for (3E)-1,3,5-hexatriene, order them from lowest to highest in energy, and indicate the number of electrons that would be found in each in the ground state for the molecule. After doing so, open the computer molecular model for (3E)-1,3,5-hexatriene and display the calculated molecular orbitals. How well does the appearance and sequence of the orbitals you drew (e.g., number of nodes, overall symmetry of each, etc.) compare with the orbitals in the calculated model? Are the same orbitals populated with electrons in your analysis as in the calculated model?

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Show how to construct the molecular orbitals of ethylene, butadiene, and the allylicsystem. Show the electronic configurations of ethylene, butadiene, and the allylcation, radical, and anion.
How would you draw a molecular orbital diagram of butadiene showing the energies and occupancy ofthe orbitals in the ground state? How would you estimate the total pi binding energy of the molecule?
For the B 2H 6 molecule        i) Using projection operators, derive a set of SALCs using the  bridging H 1s orbitals.         ii) Using projection operators, derive a set of SALCs using the s- and p- orbitals of the B atoms.         iii) Using the SALCs derived in (i) and (ii), draw a molecular orbital diagram for the interaction between the B atoms and the bridging H atoms.         iv) Fill in the molecular orbital diagram from (iii), remembering that 8 of the available electrons will be used in the bonds between the B atoms and the  terminal H atoms – those will not show up in this diagram.

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