CHEM 322 (Spring 2018) In-class Problem Set 2
(This set covers predominantly material from after the first quiz. Since the exam also covers
the material from before the first quiz, please also refer f
Lecture 14
Reading: Chapter 8B, 10, 12
Nuclear Motion
So far, we considered nuclei in atoms as
fixedx
Potential energy was calculated as a function
of internuclear distancex
We can use this (or a simi
Lecture 13
Reading: Chapter 10
H2+ Bond Energies and Distance
Molecular Orbital Energy Diagram
Anti-bonding orbital
(designated by *)
u*
g
*
Bonding orbital
Combining other Orbitals
*
orbitals rotati
436
10 Molecular structure
CHAPTER 10 Molecular structure
TOPIC 10A Valencebond theory
Discussion questions
IOAJ Discuss the role of the BornOppenheimer approximation in the
calculation of a mol
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cue ~(a[e
n = 2 in a square-well potential.
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An electron is confined to a a square well oflength L. What would be
the length of the box such that the zero-point energy of
CHEM-322 (Spring 2018)
Problem Set 2, Due 2/23/18
1. a) Find the following point in the spherical coordinate system: r=1, =/2, =/2
b) What is the radius of the circle defined by r=2, =/4, =0.2
2. Sket
Lecture 4
Reading: Chapter 7B,C
Schroedinger Equation
In quantum mechanics, an analog to the classical
wave equation is the Schroedinger equation:
This equation is for the wave function (psi) of a par
Lecture 8
Reading: Chapter 8A
Atoms
An atom can absorb or emit a photon
that has an energy corresponding to
the diference between the energies
of two quantum states of the atom.
Assuming that the elec
Lecture 9
Reading: Chapter 8A,C
Particle in Ring
The electrons in a benzene
molecule may better be
modeled as a particle confned
in a region of space that is
shaped like a ring.
In polar coordinates,
Lecture 15
Reading: Chapter 15A
Statistical Mechanics
Statistical mechanics predicts the behavior of
collections of many particles from understanding
of the possible quantum states of a single particl
1. Force Constant in Molecular
Bond
The 1H19F molecule has an IR absorption at 12.410 13
Hz due to a vibrational transition from ground state to
first excited state. In the following, assume that the
CHEM 322 (Spring 2018) In-Class Problem Set 1
Problem 1
a. What would be the mass of a particle that would have a De Broglie wavelength of 600 nm
when traveling at a velocity of 10 m/s?
b. What is the
CHEM-322 (Spring 2018) Solutions for Homework 2
Problem 1
a. Find the following point in the spherical coordinate system: r=1, =/2, =/2
This point is represented by the point x=0, y=1, z=0 in the Cart
CHEM-322 (Spring 2018) Solutions for Homework 1
Problem 1
The blackbody radiation distribution of the earth (T = 288 K) and sun (T = 5778 K):
a. The classical method falls short in fitting the emitted
Running head: LAB 5
1
Lab 5
Student name
Course number
Date
Professor Name
LAB 5
2
Instructions
Use one paragraph to address following topics and concepts. Provide examples, graphs
and other methods t
Running head: SOCIAL MEDIA
1
Social Media
Chamberlain College of Nursing
Yuenting Tsui
Feb 13, 2016
SOCIAL MEDIA
2
SOCIAL MEDIA
Introduction
Most individuals find it fashionable to accuse social media
In the provided case, it is argued that Singleton, who has been condemned to death,
should take antipsychotics so that he is healed and eventually hanged. The implication of this
position is that a pe
Solutions to Homework 8 chem 344 Sp 2014
1.
2.
3.
4.
All different
orbitals means
they could all be
parallel spins
5.
Since electrons are in different orbitals any
combination is possible paired or un
1. Wave/Particle Duality
a) What would be the mass of a particle that
would have a De Broglie wavelength of 600 nm
when traveling at a velocity of 10 m/s?
b) What is the total momentum of all of the
p
Lecture 3
Reading: Chapter 7A,B
Quantization of
Electromagnetic Radiation
Light and other electromagnetic radiation is composed
of small energy packets (quanta), which we call photons.
Light has part
Lecture 5
Reading: Chapter 7B,C
What if we Don't Know the
Momentum Precisely?
Let's construct a wavefunction for an electron that has
a momentum
Use a superposition:
and
This state contains all moment
Lecture 12
Reading: Chapter 9,10
Ionization Energies
Ionization energies are energies of the highest occupied orbital.
Periodic trends are due to shell structure
Increases left to right in periodic ta
Property
Magnitude of angular momentum
zComponent of angular momentum
348 B The quantum theory of motion
Angular momentum commutation relations
Equation comment Equation number
"Q
iiiaigtiaairiri ritiris ff
7.1M Summarize the evidence that led to the introduction of quantum
mechanics.
7A2 Explain how Plancks introduction of quantization accounted for the
properties of blackb
Name
out of 117 pts.
3. A (7) i
4. A (6)
6. (26) Name
Gradesheet: Exam I, CHEM 322, Fall 2010
1. A (3)
B (7)
C (4)
D (3) -
(17) ~;
out of 117 pts,
2' A (4)
C (4)
(18) ~_
4. A(6)
6. (2
390 9 Atomic structure and spectra M #WWKW
a For a given multiplicity, the term with the highest
value of L lies lowest in energy.
For atoms with less than half-lled shells, the level
with the lowest
UV-vis spectrophotometry
Purpose
The concentrations of calcium were measured by flame atomic absorption spectroscopy through
the standard additions method and the calibration curve method. The reagent
Lecture 2
Reading: Chapter 7A
Blackbody Radiation
Historical starting point for quantum mechanics.
What is a black body?
Object that absorbs all light passing into it.
Internal oscillators (such as
Lecture 10
Reading: Chapter 8C
Angular Momentum in 3D
There are 3 components to the angular momentum:
Note
that the z-component is the same as for the 2D
motion.
Also, we can defne total angular mome
Lecture 7
Reading: Chapter 8A
Applications of Quantum Mechanical
Formalism
We now know the Schroedinger equation for
determining wave functions.
We know how to interpret wave functions in terms of
pro
Lecture 6
Reading: Chapter 7B,C
Orthogonal Wave Functions
Two wave functions are called orthogonal,
if
It can be shown that two Eigenfunctions
of a quantum mechanical operator (i.e. an
operator with r
CHEM-322 (Spring '18)
Dr. Christian Hilty
Ofce: CHEM-1231. Ofce hours MF 1:40 pm 2:40 pm
[email protected]
What is it about?
The basic physical laws that
govern chemistry and underlay
related engineerin