課程名稱︰無機化學一
課程性質︰化學系系必修
課程教師︰林英智
開課學院：理學院
開課系所︰化學系
考試日期（年月日）︰2007.11.7
考試時限（分鐘）：130 min
是否需發放獎勵金：是
試題 :
Inorganic Midterm I (2007)
1.Using the Slater’s rules , determine Z* for
(a) A 3p electron in P, S, Cl, and Ar. Is the calculated value of Z*
consistent with the relative sizes of these atoms?
(b) A 2p electron in O2-, F-, Na+, and Mg2+. Is the calculated value of Z*
consistent with the relative sizes of these ions?
(c) A 4s and a 3d electron of Cu. Which type of electron is more likely to
be lost when copper forms a positive ion?
(d) A 4f electron in Ce, Pr, and Nd. There is a decrease in size, commonly
known as the lanthanide contraction, with increasing atomic number in
the lanthanides. Are your values of Z* consistent with this trend?
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2.The second ionization of carbon (C+ → C2+ + e– ) and the first
ionization of boron (B → B+ + e+) both fit the reaction 1s22s22p1 →
1s22s2+e–. Compare the two ionization energies (24.383 eV and 8.298 eV,
respectively) and the effective nuclear charges, Z*. Is this an adequate
explanation of the difference in ionization energies? If not, suggest other
factors.
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3.Give Lewis dot structures and sketch the shapes of the following:
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(a) SOF6 (one F is attached to O) (b) POF3
(c) ClO2 (d) NO2
(e) S2O42- (symmetric, with an S-S bond)
(f) N2H4 (symmetric, with an N-N bond)
4.Consider the series NH3, N(CH3)3, N(SiH3)3, and N(GeH3)3. These have bond
angles at the nitrogen atom of 106.6o, 110.9o, 120o, and 120o, respectively.
Account for this trend.
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5.In a body-centered cubic structure a metal has eight nearest neighbors and
six more at only slightly (~15 %) greater distance. What is the site
symmetry for nearest neighbors and for all 14 neighbors?
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6.Assign the point groups for the following “octahedral” complexes.
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(a) trans-[CoCl2(en)2]+ (b) facial-[CrCl3(NH3)3]
(c) mer-[CrCl3(dien)] (d) mer-[Co(NH2CH2CO2)3]
7.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)
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8.Derive the spectroscopic terms of the electronic configuration of d2, and
find two wave functions of the term 3F: (L = 3, ML = 3, S = 1, MS = 1) and
(L = 3, ML = 3, S = 1, MS = 0) using raising or lowering operator.
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9.Write the wave equation for a particle in a box in 3D, compare with the
Schrödinger equation of hydrogen atom which extra term is required?.
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10.Use the concept of double quartet to express the equivalence of all C-C
bonds in benzene.
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11.Explain what are screw axis and glide plane.
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12.Calculate the formal charges (of any atoms if any) of the following
structures.
(a)S=C=N- (b)S─C三N- (c)S三C─N-
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