課程名稱︰普通化學丙
課程性質︰必修
課程教師︰張大釗
開課系所︰獸醫、植病
考試時間︰93/11/5
試題 :
Ⅰ.Answer 6 out of 7 questions
1.(a) What is ther observation that most clearly supports the statement of
that electrons have wave properties? (b) Explain the Heisenberg
uncertainty principle? (10)
2.(a) Write the e-configuration for the most stable ion for O, F, Ne, Na and
Mg. (b) Order their ionic size. (10)
3.(a) Draw all the possible structures of N2O and (b) determine which one is
the most probable one. (c) What kinds of experimental results could be
used to test your prediction? (10)
4.(a) Calculate the bond order of O2, O2-, O2+. (b) Which has the strongest
bond? (c) Which of them are paramagnetic? (12)
5.The LCAO-MO wave equations for the π-electron of butadiene (C4H6,
CAH2=CB-CCH=CDH2) are given as following,
↗↗ ↗ ↗ ↗↗ (箭頭所指的為寫在右下角的)
Φ1=.37ΦA+.60ΦB+.60ΦC+.37ΦD, Φ2=.60ΦA+.37ΦB-.37ΦC-.60ΦD,
↗ ↗ ↗ ↗ ↗ ↗ ↗ ↗ ↗ ↗
Φ3=.60ΦA-.37ΦB-.37ΦC+.60ΦD, Φ4=.37ΦA-.60ΦB+.60ΦC-.37ΦD,
↗ ↗ ↗ ↗ ↗ ↗ ↗ ↗ ↗ ↗
Calculate electron density at CA AND CB in the ground, first excited state
↗ ↗
and the first ionized state. (12)
6.Give the hybridization and predict the geometry of each atom in the
molecules or ions: IF2+, OSF4, XeF4. (12)
7.Hot and spicy foods contain molecules that stimulate pain-detecting nerve
endings. Piperine is the active compound in white and black peper. (a) How
many carbon atoms are sp, sp2, sp3 hybridization in each molecule? (b) Which
hybrid orbital is used by the N atom? (c) Give approximate values for the
bond angles marked a through g in the structure. (12)
(圖略)
Ⅱ. Review questions, (answer 3 out of 4 questions)
1.Scientific method includes Observation, Hupothesis, Experiment, Theory
(Model). Here we will review the progress of atomic model from Dalton's
"Atomic model", via Thompson's Pudding model, Rutherford's Atomic model,
Bohr's H-atom model to the three quantum numbers obtained form Schrodinger
wave equation.
Based on the scientific methods, list a) the major theme of the following
atomic models, b) the major experiments for establishing their models and
c) the shortage of their models.(200-500 words, contents:20 pts,
presentation:10 pts)
Thomson's model:a)__________________________________________________________
b)__________________________________________________________________________
c)__________________________________________________________________________
Rutherford's model:a)_______________________________________________________
b)__________________________________________________________________________
c)__________________________________________________________________________
Bohr's model:a)_____________________________________________________________
b)__________________________________________________________________________
c)__________________________________________________________________________
2.A simple model of "a particle in a box" was applied to demonstrate the
existence of quantized electronic energy levels.
Using Schrodinger equation, HΨ=EΨ, to calculate the energy (E) of a
particle in a box. The Hamiltonian operator (H) is given as
_ 2 2
H = T + V =-h/2m(d /dx )+ V(x).
Assuming V(x)=0 for 0≦x≦a; and V(x)=∞, otherwise.
The wave function (Ψ) is given as Ψ=αsin(kx).
(a)Please derive the equation for energy. (b)Give the reason why you could
2 2 2 1/2
obtain E=n h /8ma ? (c) Give the reason why you could obtain α=(2/a) ?
(d) What is the probability of finding a particle in a one-dimensional box
in energy level n=2 between x=a/2 and x=3a/4? (e) Calculate the length of
the box if a wavelength of 220nm is required to excite an electron from the
n=2 to the n=3 energy level. (30)
3.Based on the three quantum numbers obtained form wave equation, (a) construct
a periodic table for the elements of the first 54 elements, (b) locate the
following atoms, X, X, X, X, X and X into your period table, (c) which
11 16 24 33 42 53
atoms have the quantum number l=1? (20)
4.(a)Draw the Lewis structure of carbon monoxide. (b)Does if follow the octet
rule? (c) Calculat the formal charge of each atom. (d) Give the effective
electron pairs for each atom based on VSEPR and the hybridization to
describe its molecular structure. (e) Use MOmodel to predict the bond order
and megnetism. (30)
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