Loriza Hasa
14 November 2016
CHEM Lab Report#6
Ferrate
Week 1:
Procedure: The procedure was followed as written.
Results:
Table 1. Percent Yield of Ferrate Produced
Sampl
e
Trial 1
Trial 2
Absorbance at 510
nm
0.622
0.608
Diluted Conc. Of Ferrate
(M)
0.00
Loriza Hasa
5 December 2016
CHEM Lab Report#7
Synthesis of Iron Nanoparticles and Removal of Water Pollutants.
Week 1:
Procedure: The procedure was followed as written.
Table 1. Dye Concentration
Concentration of Dye
(M)
7x10-5 (stock solution)
3.5x10-5
1
Loriza Hasa
23 October 2016
CHEM Lab Report#5
Determining the Enthalpy of a Chemical Reaction
Procedure: The procedure was followed as written.
Results:
Part A
Table 1. Heat Capacity of Calorimeter #1
Trial 1
Trial 2
Trial 3
Initial temp. of room T water
Loriza Hasa
26 September 2016
CHEM Lab Report#3
Stoichiometry: Determination of Percent by Mass of NaHCO3 in AlkaSeltzer Tablets
Procedure: The procedure was followed as written.
Results:
Table 1. Data of the experiment
Experiment#
1
2
3
4
5
6
7
0
10
20
3
Loriza Hasa
03 October 2016
CHEM Lab Report#4
Exploring The Properties of Gases Procedure
Procedure: The procedure was followed as written.
Results:
Table 1. Data of Pressure and Volume
Volume (mL)
Pressure (kPa)
15
100.35
13
115.44
11
134.37
09
162.36
07
Loriza Hasa
19 September 2016
CHEM Lab Report#2
Cycle Of Copper Reactions
Procedure: The procedure was followed as written.
Results:
Table 1. Data for Copper
Mass of copper wire
Mass
of
empty
0.40 g
beaker 112.31 g
(250mL)
Mass of beaker and dry copper
Ma
CHM3002
Homework#7
Homework problems:
1.
Isotopic substitution is used to identify characteristic groups in an unknown compound using
vibrational spectroscopy. Consider the C=C bond in ethene (C2H4). By what factor would the
frequency change if deuterium
CHM3002
Homework#5
Homework problems:
1.
For linear operators A and B reduce commutator [ A2 , B ] to expression that contains only [ A, B]
commutator.
2.
For linear operators show that [ A, BC ] [ A, B]C B[ A, C ] .
3.
2
Evaluate the commutator
CHM3002
Homework#4
Homework problems:
1.
Calculate the energy levels of the -network in decapentaene, C10H12, using the particle in the
box model. To calculate the box length, assume that the molecule is linear and use the values 135
and 154 pm for C=C an
Exam 2 practice problems
CHM 3002
1. (10 points) Consider transmission of electron trough the barrier of finite height V. What is
the lowest energy of electron at which transmission through the barrier equals to one?
Using the reduced units (h = 1, m = 1,
Exam 1 practice problems
CHM 3002
1. For catalyzed chemical reaction, in empty graphs below sketch how do the concentrations of
the substrate [S], the free catalyst [C] and the product [P] change in time.
Briefly explain your answer.
Consider that maximum
Exam 3 practice problems
CHM 3002
1) (5 points) Write Hamiltonian for Li atom and define the terms in the expression.
2) (10 points) Transition between the ground state of He and the lowest excited state is forbidden by the
selection rules. Write the term
CHM3002
Lecture15
Electronic Spectroscopy
Engel,Ch25
Moleculartermsymbolsfordiatomicmolecules.
ConsiderLandScomponentsalongdiatomicaxis.
M S ms ,i and M L ml ,i
i
i
WheresumisoverelectronsinMOs.
ForMOs,ml=0andforMOs,ml=1(nozero!).
Asbefore, L M L L and S
CHM 3002
Lecture 13
Diatomic Molecules
Engel, Ch 23
Molecular structure
Born-Oppenheimer approximation
1D analogue to H2
+
2
2
d2
d2
H =
+ V ( x, X 1 , X 2 )
2
2
2me dx
j 2m j dX j
H ( x , X 1 , X 2 ) = E ( x, X 1 , X 2 )
Solution in the form
( x , X 1 ,
CHM 3002
Lecture 12
Quantum States of Many-Electron Atoms
Engel, Ch 22
Time evolution of expectation values
Consider time-independent operator corresponding to some observable. Then the time evolution of the
expectation value of this operator is:
d
dt
d
CHM 3002
Review 2
Review for Midterm Exam #2
Lectures 6-10
Realistic 1-D systems
Probability density
Wave functions and energies in comparison with the infinite box:
Penetration length =
8m (V0 En )
h2
8mL2 c 2
NC .
Transitions in conjugated molecules:
CHM 3002
Lecture 11
Many-Electron Atoms
Engel, Ch 21
Helium
Hamiltonian operator for two electrons and the nuclei:
2
2e 2
e2
H =
+
+
2me
4 0 r1 4 0 r2 4 0 r12
(
2
1
2
2
)
2e 2
1 2
1
u
1
2u
Here u = r r 2 ( r u ) + r 2 sin sin + r 2 sin 2 2
2
Schrodi
CHM 3002
Lecture 8
Harmonic Oscillator and Particle on a Sphere
Engel, Ch 18
Harmonic Oscillator
Harmonic approximation of
anharmonic potential
Consider the harmonic oscillator potential energy-distance dependence
(shown in the figure)
V ( x) =
1 2
kx
2
W
CHM 3002
Lecture 10
Hydrogen Atom
Engel, Ch 20
Hamiltonian for an electron orbiting about a nucleus
Ze 2
2 2
2 2
H
e
N
2me
2mN
4 0 r
In the center of mass coordinates the Hamiltonian can be written as
Ze 2
2 2
2 2
H
cm
2m
2
4 0 r
Here m = me + mN.
CHM 3002
Lecture 6
More Realistic 1D Boxes and Barriers
Engel, Ch 16
V(x)
Box with finite depth
V0
0 a / 2 x a / 2
V ( x) =
V0 x < a / 2, x > a / 2
Inside the box solution is the same as for the box with infinite height:
= C cos(kx) + D sin(kx)
-a/2
a/
CHM 3002
Lecture 7
Commutating operators and Uncertainty Principle
Engel, Ch 17
Commutation relations
When a wave function is an eigenfunction of quantum mechanical operator then results of measurements on
multiple identical systems will produce the same