課程名稱︰無機化學一
課程性質︰必修
課程教師︰鄭淑芬
開課學院：理學院
開課系所︰化學系
考試日期（年月日）︰101/10/17
考試時限（分鐘）：150
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. What is the maximum number of electrons that can have the following quantum
numbers: (6%)
(a) n=5
(b) n=5, l=3
(c) n=5, l=2, ml=-2
(d) n=3, l=2, ml=-1
(e) n=2, l=2, ml=2
(f) n=2, l=0, ml=-1, ms=1/2
2. Write the electron configurations of the following species:(8%)
(a)Ca, Ca2+ (b)Fe, Fe2+ (c)Cr,Cr3+ (d)Cu, Cu2+
3.
(a)Using Slater's rule, calculate the 1st IEs of Na, Mg and Al (6%)
(b)The emprical 1st IEs of Na, Mg and Alare 5.14, 7.64 and 5.98eV.
Calculate the effective nuclear charges of the corresponding valence
electrons in these atoms. Also, explain the variation of emprical 1st
IEs and compare the values with those obtained in (a). (5%)
(c)The emprical electron affinities(EAs)of Na, Mg and Al are 0.548,-0.4
and 0.441eV,respectively.
Calculate the effective nuclear charges of the correspondingelectrons
in these atoms. Also, explain the variation of emprical EAs of
Na, Mg and Al. (5%)
4.When 50.4 nm radiation from a helium discharge lamp is directed on a sample
of krypton, electrons are ejected with a velocity of 2.56x10^6 m/s.
(a)What is the ionization energy of krypton(in eV)?
(b)If the photon resulted from a transitoin from 5s to 4p orbitals of
kyrpton has a wavelength of 462.7 nm, what is the ionization energy of
electrons in 5s orbital of kyrpton? (6%)
5.Predict the geometry and point group of the following species:(10%)
(a)IF4- (b)IO2F2-(I=O double bond) (c)SiF4
(d)SF4 (e)BrF5
6.Three isomers having the formula N2CO are knowm:ONCN(nitrosyl cuanide),
ONNC(nitrosyl isocyanide).
(a)Draw the most important resonance structures of these isomers, and
determine the formal charges.
(b)Which isomer do you predict to be the most stable form?explain. (10%)
7.Explain the trends in bond angles of the following species:(5%)
(a) molecules bond length(pm) bond angle(o)
H2O 97 104.5
H2S 135 92.1
H2Se 146 90.6
(b)
H2O 97 104.5
F2O 96 103.3
Cl2O 170 110.9
HFO ~97 97.2
8.
(a)Is the CF3 group in PCl4(CF3) more likely axial or equatorial? Explain
(b)Are the axial or equatorial P-Cl bonds likely to be longer? Explain(5%)
9. CCl2=C=CCl2 belongs to D2d point group.
(a)Taking the long axis as C2 axis, mark on the molecule the operations that
comprise 2S4, 2C2',2σd (6%)
(b)Using (x,y,z) as the basis , find the matrix representations of all the
symmetry operations in D2d.
Are these representations reducible?(10%)
(c)Using the basis funtions bwlow , determine the characters of the
representations in D2d.(10%)
10. For the following molecules determine(i)point group, (ii)number of
normal mode vibration,and(iii) the symmetry representations of C-O
stretching vibration.(20%)
(a)p.124 4.26 a.Fe(CO)4Cl2
(b)p.119 fac-Mo(CO)3(NCCH3)3
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Conversion factor: 1eV=1.6022x10^-19 J
Plank's constant, h=6.626x10^-34 J.s=6.626x10^-27 erg.s
Bolzmann's constant, k=1.38066x10^-23 J/K
Speed of light, c=2.9979x10^8 m/s
Mass of electron, me=9.109x10^-31 kg
Elementary charge, e=1.602x10^-19 C
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