Chemistry 562 Fall, 2012 Name
Page 3
1. This problem concerns the properties of chlorouorocarbons, or CFCs, the refrigerants that
were later replaced because of their atomospheric chemical behavior, mainly destroying the
ozone layer. Molecule (i) is tri
Chemistry 562 Problem Set 1 - January 23, 2017
1. a) The work function of a certain steel is 4.75 eV. Express this in J
and then in kJ/mol.
b ) What is the maximum wavelength in nm that ultraviolet light must have
in order to produce any photoelectrons at
Table of Basic Integrals1
(1)
(2)
(3)
1
xn+1 , n = 1
n+1
(11)
sec2 x dx = tan x
1
dx = ln |x|
x
xn dx =
(12)
sec x tan x dx = sec x
u dv = uv
vdu
(13)
(4)
ax dx =
1 x
a
ln a
a
1
x+a
dx = ln
2
x
2
xa
a2
(15)
(6)
a
x
dx = tan1
2
+x
a
ex dx = ex
(14)
(5)
a2
Table of Laplace Transforms
f (t)
L[f (t)] = F (s)
f (t)
1
1
s
(1)
eat f (t)
F (s a)
(2)
L[f (t)] = F (s)
aeat bebt
ab
s
(s a)(s b)
(19)
teat
1
(s a)2
(20)
tn eat
n!
(s a)n+1
(21)
eat sin kt
k
(s a)2 + k 2
(22)
eat cos kt
sa
(s a)2 + k 2
(23)
eat sinh kt
Chemistry 562
Fall 2014
Problem Set 6
Due Friday, October 24, in lecture
(We need to see your reasoning, not just see the final result)
1. The Lyman series in the hydrogen spectrum correspond to emission transitions bringing the electron
from the excited
Chemistry 562
Fall 2014
Problem Set 8
Due Friday, November 7, in lecture
(We need to see your reasoning, not just see the final result)
1. The first ionization energy of H is 13.6 eV and that of Cl is 13.0 eV
a) Which Cl orbital will be mixing with the H
Chemistry 562
Fall 2014
Problem Set 7
Due Friday, October 31, in lecture
(We need to see your reasoning, not just see the final result)
1) a) Explain, in words and equations (but mostly words), why replacing Z with Zeff allows the use
of hydrogenic atomic
Chemistry 562
Fall 2014
Problem Set 5
Due Friday, October 10, in lecture
(We need to see your reasoning, not just see the final result)
1. (a.) The rotational constant of 16O=12C=16O is measured to be 0.390 cm-1. What is the C=O bond
length?
(b.) What is
Chemistry 562
Fall 2014
Problem Set 9
Due Friday, November 14, in lecture
1. The table below gives some spectroscopic constants (in cm-1) for the OH radical in its ground
electronic state (X) and first excited electronic state (A). V(Re) is the energy at
Chemistry 562
Fall 2014
Problem Set 4
Due Friday, October 3 in lecture
(We need to see your reasoning, not just see the final result)
1. The normalized wavefunction for the lowest level ( = 0, = 0) of a particle on a sphere is
simply:
1
(, ) =
4
(a.) Conf
Chemistry 562
Fall 2014
Problem Set 3
Due Friday, September 26 in lecture
(We need to see your reasoning, not just the final result)
Useful integrals: (n is a positive integer)
2 (
) =
2
0
2
2 (
) =
4
0
(
0
) (
) = 0
1. Recall the normalized wavefuncti
Chemistry 562
Fall 2014
Problem Set 2
Due Friday, September 19 in lecture
(We need to see your reasoning, not just see the final result)
Use integral tables and the even/odd properties of functions you learned in Problem Set 1
Consider the two following u
Chemistry 562
Fall 2014
Problem Set 1
Due Friday, Sept 12
(We need to see your reasoning, not just the final result.)
1) State if the function f(x) is an eigenfunction of the given operator. If it is, give the eigenvalue.
Operator
d
dx
d2
dx 2
d2
dx 2
d2
1. a.)
For force constant, use the Harmonic Oscillator Approximation
( 1.007 15.99 )
1.007 15.99
34
27
1.67 10
kg
hbar
6.626 10
Ang 1 10
J s
2
10
m
2
k bar bar 2 c
k 3735.2 cm
783.161 kg
1
Ground state (larger)
2
s
k 3180.6 cm
567.86 kg
1
Excit
2 a.)
19
eV 1.602 10
J
a0 5.29 10
E1s 13.6 eV
2
k ( r)
ef
2
1 r e
a0
4 0 a 0
1
r
a0
e a0
a0
r
r
2
r a0
r
1
S( r) 1
e
a0 3 a0
ef
2
( r) E1s
j ( r)
4 0 r
ef
2
( r) E1s S( r)
S( r) k ( r)
4 0 r
Eplus( r)
( r) ( r)
Eminus( r)
1 S( r)
( r) (
i. . I 7
Chemistry 562 7 Fall, 2012 Exam 2 Name Wei/l
Page 1 _
Exam 2
1. This exam contains 12 pages of questions, instructions, and silly cartoons, two pages of
equations and integrals, a page of tables, a periodic table, and a set of constants and
3.)
We'll set up some definitions:
2
34 m kg
h 6.626 10
c 2.998 10
s
8m
s
Let's first determine the energy of one photon.
Ephot( )
h c
19
Ephot( 628nm) 3.163 10
J
We can multiply this energy by the number of photons per pulse to find the energy per pul
2 a.)
19
eV 1.602 10
J
a0 5.29 10
E1s 13.6 eV
2
k ( r)
ef
2
1 r e
a0
4 0 a 0
1
r
a0
e a0
a0
r
r
2
r a0
r
1
S( r) 1
e
a0 3 a0
ef
2
( r) E1s
j ( r)
4 0 r
ef
2
( r) E1s S( r)
S( r) k ( r)
4 0 r
Eplus( r)
( r) ( r)
Eminus( r)
1 S( r)
( r) (
1. a.)
For force constant, use the Harmonic Oscillator Approximation
( 1.007 15.99 )
1.007 15.99
34
27
1.67 10
kg
hbar
6.626 10
Ang 1 10
J s
2
10
m
2
k bar bar 2 c
k 3735.2 cm
783.161 kg
1
Ground state (larger)
2
s
k 3180.6 cm
567.86 kg
1
Excit
3.)
We'll set up some definitions:
2
34 m kg
h 6.626 10
c 2.998 10
s
8m
s
Let's first determine the energy of one photon.
Ephot( )
h c
19
Ephot( 628nm) 3.163 10
J
We can multiply this energy by the number of photons per pulse to find the energy per pul