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problem set 3 key

# problem set 3 key - Chemistry 312 Problem Set 3(Due Friday...

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Chemistry 312 Problem Set 3 (Due Friday, July 15, 2011) 1. Assign the following molecule to their appropriate point groups ; also include a sketch of the molecule that shows the symmetry elements for each molecule, justifying the choice of point group. a. CH 2 Cl 2 C 2v b. BFClBr C s c. NCCN D h d. 1,2,3-trichlorobenzene e. 1,2,4-trichlorobenzene f. ICl 4 D 4h C 2v C s g. adamantane (shown below – all four faces equivalent) h. ferrocene D 5d (eclipsed = D 5h ) T d 2. Examine the D 4h character table in resource section 4 in the textbook. a. Give the term (Mulliken) symbol for the irreducible representation for which z is a basis. Show, through a series of sketches, how the characters for the row that represents the irreducible representation for which z is a basis. The point group D 4h has the symmetry operations E, C 4 , C 2 , C 2 ’, C 2 ”, i, S 4 , σ h , σ v and σ d . The sketches should show what happens to the +z axis or a p z orbital under each of these operations. For instance, E would leave the axis or orbital unchanged and thus would have a character of +1; C 4 and C 2 would also leave it unchanged for a +1. On the other hand, the perpendicular C 2 operations would both “flip” the axis or orbital, and they would each have a character of –1, as would i, S 4 ,

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problem set 3 key - Chemistry 312 Problem Set 3(Due Friday...

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