10.0 Structure of
Chapter 9 solved for the problem of the Hydrogenic atom. In chapter 10 we extend
our discussion to that of molecules. Molecules have mulIple nucleii and mulIple
9.0 Structure and
The Central Poten9al - Hydrogenic Atoms Problem
Spectra of Atoms
The Hydrogen Atom plays an important role in chemistry because it is the only
actual chemical system that can be solved exactly.
What is Quantum Mechanics and Why are We Learning It?
Quantum mechamics is the physics of the very small. All maFer is composed of
atoms, which are composed of subatomic parJcles (electrons, neutro
7.5 Informa,on in
the Wave Func,on
The Wave Func,on Contains Informa,on About the System
The wave func,on contains signicant informa,on about the system.
Once you determine the wave func,on by solving the Schrdinger
Vibra*onal Mo*on Par*cles in Harmonic Poten*als
The atoms in a molecule reside at equilibrium posi*ons and experience a restoring force
that returns them to their equililbrium posi*ons given by Ho
Physical Transforma0ons of Pure Substances
In chemical engineering we o<en need to control the phase of our
system, and understand when our system undergoes a phase
transi0on and how this aect
3.1 The 2nd Law
The 2nd Law and Spontaneous Change
A spontaneous change is one that occurs without being driven by
a driving force that is, without work being done to bring it about.
The direcBon of spontan
Borns interpretation of the
It is not possible to measure all properties of
a quantum system precisely
Max Born suggested that the wave function
was related to the probability that an
observable has a specific value.
Often called the Copenha
PChem For Engineers (Musgrave)
Due Monday, April 21st, 2014
Problem 1: Consider a system of 25 objects arranged in 5 different energy levels.
a) What are the weights of the following configurations: cfw_25,0,0,0,0, cfw_20,5,0,0,0, cfw_12,6,3,2,
So IfA h\or-;Y
Final Exam / Chemistry 4521/ Physical Chemistry for Engineers /2005
Helpful Information: PV=nRT 760 Torr : 1 atm 1 bar = 750 Torr 1.01 x 105Pa = 1 atm 1 Pa = 1 N m-2
R = 0.08206 atm dm3Klmorl R =8.3145 J Kl morl kB= 1.381 x 10-2
8.0 QM Techniques
Transla5onal Mo5on the Free Par5cle and Par5cle In a Box
The most important applica5on of Quantum Mechamics for Chemical
Engineers is its applica5on to molecular and materials syste