課程名稱︰無機化學一
課程性質︰必修
課程教師︰彭旭明
開課學院：理學院
開課系所︰化學系
考試日期（年月日）︰2011/1/12
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.Draw the lewis structure and give the point group of the following molecules
(with highest possible symmetry.)(10%)
(a)sulfuric acid
(b)nitric acid
(c)Phosphoric acid
(d)perchloric acid
(e)hydrazoic acid (HN3)
2.Draw the 3-dimensional structure and give the point group of the following
species.(10%)
(a)ferrocene
(b)diborane
(c){Re2Cl8}2-
(d)S8
(e){K(18C6)}+(in which, 18C6=18-Crown-6)
3.For each of the following reactions, identify the acid and the base.
Also indicate which acid-base definition (Lewis, Solvent system, Bronsted-
Lowry) applies. In some cases, more than one definition may apply.(10%)
(a)HClO4 + CH3CN >>>> CH3CNH+ + ClO4-
(b)PCl5 + ICl >>>> {PCl4}+ + {ICl2}-
(c)2 ClO3- + SO2 >>>> 2 CLO2 + SO42-
(d)2 NOCl + Sn >>>> SnCl2 + 2NO (in N2O4 solvent)
(e) BH4- + 4 H2O >>>> B(OH)4- + 4 H2
4. Use drago's E and C parameters(Table1) to calculate deltaH for the reaction
of pyridine and BF3 and of pyridine and B(CH3)3. Repeat the calculations of
the proceeding problem using NH3 as the base, and put the four reactions
in order of the magnitudes of their deltaH values.(6%)
Table1 CA, EA , CB and EB values (kcal/mol)
acid compound CA EA
B(CH3)3 1.70 6.14
BF3 1.62 9.88
base compound CB EB
pyridine 6.40 1.17
NH3 3.46 1.36
5.List the following acids in order of acid strength in aqueous solution.
(Hint: Use pauling's equation):(6%)
a. HMnO4 H3AsO4 H2SO3 H2SO4
b. HClO HClO4 HClO2 HClO3
6.HF has H0=-11.0 Addition of 4% SbF5 lowers H0 to -21.0. Explain why this
should be true, and why the resulting solution is so strongly acidic
that it can protonate alkenes. (4%)
(CH3)2C=CH2 + H+ >>>> (CH3)3C+
7. Diagram A shows some subjects and B shows some optical transforms. Match
the objects to the transforms and determine their correct relative
orientations. (12%)
(a) o (b) O (c)0 (d). (e)(f)(g)(h)(i)(j)(k)(l)過於複雜 故略
0 .
.
.
.
(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)too complicated, skip
8. F(hkl)=sigma(fjexp(2pii(hxj+kyi+lzj)
p(x, y, z)=sigmahsigmaksigmal(Fhkl)exp(ia)exp(-2pii(hx+ky+lz)
Explain the meaning of each term in the two equations. (12%)
9.(a)Show that spheres occupy 74.0% of the total volume in a face-
centered cubic structure in which all atoms are identical.
(b)What percent of the total volume is occupied by spheres in a body-
centered cube in which all atoms are identical.(8%)
10.LiBr has a density of 3.464g/cm^3 and the NaCl crystal structure.
Calculate the interionic distance, and compare your answer with the
valuse from the sum of the ionic radii found in Table.2 (6%)
(the fornula weight of LiBr is 86.85 g/mol)
Table 2 ionic radii
Coordination Number
Ionic
4 6 8
Li+ 73 90 pm 106
Br- -- 182 --
11.Derive the lattice energy (U) from electrostatic energy and short
distance repulsion energy at r-ro(10%)
U=NMZ+Z-e^2*(1-1/n)/r0
12.Focusing on the boron atoms and the bridging hydrogens of diborane as
Fig.1, we can use table 3 to sketch the group orbitals and detetmine
their matching irreducible representations (8%)
(a)Show that the representation T(pz) reduces to Ag + B1u
(b)SHow that the representation T(px) reduces to B2g + B3u.
(c)show that the representation T(1s) reduces to Ag + B3u.
(d)Verify that the sketches for the group orbitals match their respective
symmetry designation (Ag, B2g, B1u, B3u) in Table 3.
(Please use the fill-in-the-blank form of Table 4 to answer(d))
Table 3 Character Table
E C2(z) C2(y) C2(x) i sigma(xy) sigma(xz) Sigma(yz)
Ag 1 1 1 1 1 1 1 1
B1g 1 1 -1 -1 -1 1 -1 -1
B2g 1 -1 1 -1 1 -1 1 -1
B3g 1 -1 -1 1 -1 1 1 -1
Au 1 1 -1 1 1 -1 -1 1
B1u 1 -1 1 1 -1 1 1 -1
B2u 1 -1 1 -1 -1 1 -1 1
B3u 1 -1 -1 1 -1 1 1 -1
Table 4 designations group orbitals sketches
Ag
pz B1u
B2g
px B3u
Ag
s B3u
13.The reaction P4(g) >>>> 2 P2(g) has deltaH=217kj/mol. If the bond energy
of a single phosphorous-phosphorous bond is 200kj/mol, calculate the
bond energy of the pp triple bond/ Compare the value you obtain with
the bond energy in N2 (946 kj/mol), and suggest an explanation for the
difference in bond energies in P2 and N2.(6%)
14.BrF3 undergoes autodissociation according to the equilibrium
2BrF3 >>>> BrF2+ + BrF4-
ionic fluorides such as KF behave as base in BrF3, whereas some covalent
fluorides such as SbF5 behave as acids. On the basis of the solvent
system concept, write balanced chemical equations for these acid-base
reactions of fluorides with BrF2.(4%)
15.Give thename in English, indicate their magnetic properties
(paramagnetic, diamagnetic) and rationalize the bond distance.(12%)
Formula Name Magnetic property o-o Distance(pm)
O2+ 111.6
O2 120.8
O2- 135
O22- 149
O3 127.8
O3- 134
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