私立中原大學八十九學年度博士班招生考試命題紙

所組別：化學學系 科目：無機化學 考試時間：6月14日第1節

1. What is Jahn-Teller distortion? In what conditions will this occur? Consider high and low spin for d1-d10 complexes. (20 pts)
2. Define s , p and d molecular orbitals by using the five d atomic orbitals. (20 pots)
3. A molecule has the symmetry of C3v. (20 pts)
(a). What are the symmetry operations the molecule has?
(b). Write down the multiplication table for these operations.
(c). Arrange these operations into classes by similarity transformations.
(d). Construct the character table and name each irreducible representations.
(e). Place x, y, z , Rx, Ry and Rz into suitable positions.
4. Provide plausible reason for the difference in IR wavenumbers between the following two compounds: Mo(PF3)3(CO)3, 2040, 1991 cm-1 and Mo(PMe3)3(CO)3, 1945, 1851 cm-1. (20 pts)
5. In each of the following pairs of transition states which you would expect to be more intense and why? (20 pts)
a. 3A2g ---> 3T2g in [NiCl6]4- or 3T1 ---> 3T2 in [NiCl4]2-
b. 3A2 ---> 3E or 3A2 ---> 2A2 in [Cr(ox)3]3-
c. 1A1 (metal) ---> 1E (metal) or 1A1 (metal) ---> 1E ( p * on ligand) in [Fe(phen)3]2+
d. The most intense d-d band in [CoCl4]2- or the most intense band in [MnCl4]2-

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