課程名稱︰普通化學甲上
課程性質︰大一必修
課程教師︰陸駿逸
開課學院：理學院
開課系所︰物理系
考試日期（年月日）︰2007.1.17
考試時限（分鐘）：160分
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.(10pts)Use a few sentences to explain what is the variational principle that
we used in the class.(You are NOT asked to prove it.)
2.(15pts)Explain the basic idea of the VSEPR theory.Is there any relation
between this theory and the Schrodinger equation for the electron and the
nucleus.
3.(10pts)Some chemicals will be decomposed under the UV light irradiation.
Explain the possible origin of the phenomenon.
4.(24pts)Given the following compounds:(1)SO2 (2)CH2O (3)ClO3- (4)HCN
(a)Write down their Lewis strucures.
(b)Predict the molecular geometries.
(c)Determine the hybridization of the central atoms.
5.(20pts)When we analyzed the MO of the H2+ ion,we mentioned that
H12=∫ψ1Hψ2dv is negative(ψ1 and ψ2 are the 1s atomic orbials at the two
atoms).Why is it so?
6.(20pts)Construct the molecular orbitals φ=a1ψ1+a2ψ2 between the two atoms
,where ψ1 and ψ2 are the atomic orbitals of the aom 1 and the atom 2
respectively.Given that H11=-5ev,H12=H21=-2ev,H22=-4ev,and the overlap
integral S=0.1.
(a)Calculate the two MO energies.
(b)Calculate the ratio a1/a2 for each energies.
7.(15pts)Explain the 4n+2 rule for the compounds CnHn.
8.(30pts)Assume that four Li atoms form a square shape molecule.
(a)Calculate the energies of the MO formed by the 2s orbitals.Assume that
H11=-5ev,H12=-2ev,and S=0.
(b)Solve and draw the four MOs.
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