推 srwff:已收精華區 01/29 14:53
課程名稱︰無機化學一
課程性質︰化學系必修
課程教師︰林英智教授
開課學院：理學院
開課系所︰化學系
考試日期（年月日）︰970116
考試時限（分鐘）：120
是否需發放獎勵金：是
試題 :
Inorganic --Final test
1.Classify the following species as closo, nido, arachno, or hypho.
(a) B6H12 (b)B4H8
(c) [Fe(CO)3]B4H8 (d) Os5(CO)16
[Hint: Fe and Os are on the same group]
2. Calculate all styx numbers for the following.
(a) B5H11 (b) B6H10
Draw the structure of (a) with minimum value of s and the structure of
(b) with maximum value of s.
3. Construct the Frost Diagram for Mn using the following standard reduction
potential (in volts) data.
0.95 1.5 -1.18
MnO2 → Mn3+ → Mn2+ → Mn
4. The following diagram represents one layer of the packing atoms (each
cross point indicates an atom P). Mark on this diagram (redraw in your
answer sheet) to indicate the packing position of the hexagonal closest packing
and cubic closest packing one layer above (mark A) and one layer down
(mark D) the indicated layer.
For a face center cubic system, write the layer order of (1) packing atoms
(2) tetrahedral holes and (3) octahedral holes. Use subscript to indicate
the position at P, A and D. For example, PDOATD.
5. How the Madelung constant of the NaCl structure is derived? Draw a simple
diagram to indicate various inter-ion distances and give the first four
terms of this constant. Sum up these four terms and compare with the
Madelung constant.
6. Calculate the packing efficiency of a cubic system (8 atoms at the corner
of a cube) with the center of the cube also filled with a (largest)
smaller atom.
7. Should the Fermi level of a p-type semiconductor be higher or lower than
that of the same semiconductor with no doping element. Explain and
briefly account for the principle of a photovoltaic cell using a p-n
junction.
8. The fullerene C60 consists of fused five and six-membered carbon rings.
There should be several polygons around a six-membered ring and also
several polygons around a five-membered ring. Give the number of five and
six-membered rings around a five-membered ring and around a six-membered
ring.
9. For the point group D4, there are 8 symmetry operations and could be
grouped into five classes. Find all 8 symmetry operations and put them
into classes. Derive (you must show your derivation) the character table
of D4, and find the irreducible representations of translational,
rotational and vibrational motions for an artificial molecule M(A4)2 with
the point group D4 shown below. (representations of x, y, z should be
found)
10. Assign the point groups for the following “octahedral” complexes.
(a) trans-[CoCl2(en)2]+ (b) facial-[CrCl3(NH3)3]
(c) mer-[CrCl3(dien)] (d) mer-[Co(NH2CH2CO2)3]
11. Using the character table provided and projection operator to find the
hybridization orbitals of a trigonal bipyramid (TBP).
D3h E 2C3 3C2 σh 2S3 3σv
A1’ 1 1 1 1 1 1 x2 + y2, z2
A2’ 1 1 -1 1 1 -1 Rz
E’ 2 -1 0 2 -1 0 (x, y) (x2 - y2, xy)
A1” 1 1 1 -1 -1 -1
A2” 1 1 -1 -1 -1 1 z
E” 2 -1 0 -2 1 0 (Rx, Ry) (xz, yz)
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