課程名稱︰無機化學一
課程性質︰系定必修(大三)
課程教師︰王瑜
開課學院：理學院
開課系所︰化學系
考試時間︰2006.11.22. 10:20~12:20
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Inorganic Chemistry Exam 11/22/2006
1. There are two parts in atomic wave function: radial part and angular part;
which quantum numbers are related to each part respectively? How many nodes
(including nodal plane, nodal surface) exist in each part and what is the
specific examples on 2px; 4dxy; 5fz(x^2-y^2); 4s; 5dyz. (20)
2. The wave function and the corresponding energies of a free particle in 1D
box (size of x = a) are: Ψ = A sin((nπx)/a) ; E = (n^2h^2)/(8ma^2); where
n is quantum number; m is the mass of the particle. Please extend this to a
3D box, write the wave function and the corresponding energies with the
size of (a,b,c) on (x,y,z). How many quantum numbers there are in this case
and what are they? State the possible degenerate states for a tetragonal
box (a=b≠c) and for a cube box (a=b=c), with the quantum number up to 2.
(20)
3. What is the molecular shape of SF4 according to VSEPR? Which point group
does it belong to? Describe the hybrid orbitals of S and the σ bond of S-F
of this molecule in terms of irreducible representation. Illustrate the
Lewis structure of this molecule and then correlate all the electron pairs
to the occupancies of the molecular orbitals. What is the formal charge of
S and F respectively? What are their oxidation states? (20)
4. Describe the pπ orbitals of buta-diene(C4H6) and cyclobutadiene(C4H4),
using C2h and C4h point groups. What are the bond orders of C-C bond
(including σ and π bond) in each case? (20)
5. Cyanide CN- and N2 are isoelectronic, but CN- is a much stronger ligand
than N2, give the reasons on the basis of respective MOs. Which side of CN-
is the stronger donor when coordinatedto a metal? (10)
6. Give the p, d-orbital splittings of ML5 in trigonal bipyramidal (D3h) and
in square pyramidal(C4v) geometry respectively. (10)
7. Simulate the MOs of H4 from two H2 in a linear geometry and a cyclic
geometry, predict which one is more stable? (10)
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