classes_Spring08_172ID39_test05_May12_solutions

classes_Spring08_172ID39_test05_May12_solutions - orbitals...

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Chemistry 172/273 Test 05 - solution May 12, 2008 Spring 2008 Note: Do not use a pencil. Use black ink only. Try to write as neatly as possible. If I don’t understand your handwriting, you will not get any points. ( 10 points ) The carbon p orbitals in C 3 H 3 form the basis set of a reducible representation which reduces in D 3h to A 2 ” + E ”. Using the projector operator technique determine the SALCs of these
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Unformatted text preview: orbitals and sketch their shape (write on both sides of the paper if necessary). Applying the projector operator technique: P A 2 ” (p1) = p1 + p2 + p3 + p1 + p2 + p3 + p1 +p2 + p3 + p1 + p2 + p3 P A 2 ” (p1) ≈ p1 + p2 + p3 For E ” the C 3 point group is used: P E ” (p1) = 2p1 – p2 – p3 and p2 – p3 (see lecture notes, class 15)...
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