課程名稱︰普通化學一
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︰化學系
考試日期（年月日）︰106年11月10日
考試時限（分鐘）：2小時
試題 :
1. (12pts) Write down the chemical formulas of the following compounds:
(a) Sodium chromate
(b) Lithium hydride
(c) Potassium hydrogen sulfate
(d) Gallium oxide
2. (9pts) Write down the names of the following compounds:
(a) CsClO3
(b) Mg(NO3)2
(c) Ca(ClO4)2
3. (9pts) Draw the Lewis electron dot diagrams of the following species. Indi-
cate the resonance diagrams when applicable. (You can use the valence shell
expansion for the central atom.)
(a) SCN^-
(b) PCl6^-
(c) HCO3^-
4. (15pts) A helium atom is excited to have the configuration 1s^1 2s^1. In
terms of the hydrogen-like wave function φ1s(r) and φ2s(r), write down the
space part of the two electron wave function for the singlet and the triplet
separately. Which one has the lower energy? and why?
5. (15pts) A particle of mass m is confined in a 2D rectangular box where the
length ration is Ly/Lx=4/3. Inside the box, the potential energy is 0, whereas
outside the box the potential energy is infinite. Find the four quatum states
with the lowest energies. Write down their energis and the wave functions.
6. (15pts) Show that the 2p orbital ψ(r)=C(x-iy)exp(-r/2a0) is the eigenfunt
︿ δ δ
-ion of the operator Lz=-i(h-bar)x——+i(h-bar)y——. What is its eigenvalue?
δy δx
︿ δ δ
Is it the eigenfuction ofLx=-i(h-bar)y——+i(h-bar)z——?
δz δy
7. (15pts) Given the 2p wave functions φ2px(r)=Cxexp(-r/2a0),φ2py(r)=Cyexp(
-r/2a0), φ2pz(r)=Czexp(-r/2a0) where C is a constant, and ao is the Bohr radi-
us, show that when six electrons fill in the three orbitals, the electron dens-
ity will have the spherical symmetry.
8. (20pts) Consider the molecular orbital of HF moleculeψMO(r)=N(CAφA(r)+
CBφB(r)), whereφA(r)is the 1s of H atom, andφB(r) is the 2pz of F atom.
Suppose that HAA=-13.6eV, HBB=-17.4eV, HAB=-1eV, S～0. Solve the energies and
the coefficient ratios CB/CA for the two MOs.
9. (15pts) Describe the bonding in the bent molecule NF2. Predict its energy
level diagram and electron eonfiguration.
10. (15pts) Draw a Lewis electron dot diagram for each of the following molec-
ules and ions. Formulate the hybridization for the central atom in each case
and give the molecular geometry.
(a)CO2
(b)PH3
(c)BeH2