CHEMISTRY 331: PHYSICAL CHEMISTRY I
Particle in Box Solving the Schrdinger Equation for a square well potential in 1D
Read: M & S Ch. 3 and/or Engel and Reid Ch. 15 and 16
Particle in a Box
The Problem:
A particle of mass m is constrained to lie along the
CHEMISTRY 331: PHYSICAL CHEMISTRY I
The Postulates of Quantum Mechanics
Read: M & S Ch. 4
Postulate 2 (final)
To every observable in classical mechanics there corresponds a linear, Hermitian operator in
quantum mechanics.
In experiments we can only measur
CHEMISTRY 3420: PHYSICAL CHEMISTRY I
Postulate 5, Quantum Mechanical Tunneling
Read: Engel and Reid. 16.116.6
M & S Ch. 4
Finite step potential (Refer to Steves notes and/or E &R 16.5)
0
V (x ) =
V0
for x < 0
for x 0
Note of caution: R+T = 1 always. Eit
CHEMISTRY 331: PHYSICAL CHEMISTRY I
Wavefunctions and The Schrdinger Equation
Read: M & S Ch. 3 and/or Engel and Reid Ch. 15 and 16
The Schrdinger Equation
We have seen that the idea of waveparticle duality implies that matter possess wavelike
propertie
CHEMISTRY 331: PHYSICAL CHEMISTRY I
Operators, Eigenvalue Equations, and the Schrdinger Equation
Read: M & S Ch. 3, 4
The total energy of the Hydrogen atom is given by
E = KE + VCoulomb (r ) =
1 e2
=
2 4e 0 r
e2
=
8e 0 r
=
1
e2
me v 2
2
4e 0 r
using
e2
CHEMISTRY 331: PHYSICAL CHEMISTRY I
Particle in Box Solving the Schrdinger Equation for a square well potential in 3D
The Postulates of Quantum Mechanics
Read: M & S Ch. 3 and 4 and/or Engel and Reid Ch. 15 and 16
Particle in a Box (3D)
This is the simpl
CHEMISTRY 331: PHYSICAL CHEMISTRY I
The Dawn of Quantum Mechanics: Part 2
Read: M & S, Ch. 1
The Photoelectric Effect ( another example where classical physics failed)
In 18851889, Heinrich Hertz performed a series of experiments to demonstrate Maxwells
CHEMISTRY 331: PHYSICAL CHEMISTRY I
Lecture 1: The Dawn of Quantum Mechanics
Read: M & S, Ch. 1
ThinkPairShare activity for the first class period:
Rather than discuss class logistics at length, I would like to get to know you more and learn
about your
SolverMicrosofts General Data Fitting Routine
Excel has a glitchy, but useful, data fitting routine called Solver. Solver allows
you to set up a parameter based model (equation) and determine the values of the
parameters that give you a minimum or maximum
Chapter 8:
1. The fact that the standard entropy of dissociation of most weak acids is negative shows
that there is an increase in order in the dissociation; this is a consequence of the creation
of electric charges that become hydrated by dipolar water m
Critical point: the end of the liquidgas coexistence curve where the properties of the gas and
liquid phases become so nearly alike that they can no longer be distinguished as separate phases
Tie line: connects the state of one phase with the sate of ano
Fundamental equations of thermodynamics (CH 4)
1. The combined first and second law plus the introduction of chemical works terms by
Gibbs yields the fundamental equation for the internal energy. This equation provides
equations of state for T, P, and cfw
Average speed:[ (8RT)/m]^1/2
Root mean squared: [(3RT)/m]^1/2
Average energy: [(3KBT)/2]
Average energy of a mole: (3/2)RT
KMT THEORY

Molecules exist and they are in random constant motion

Molecular volumes are negligible

No IMFs
THERMO
Energy: the
Thermodynamics: branch of physics that studies the movement of energy and how energy instills
movement. Studies the effects of changes in temperature, pressure, and volume on physical
systems at the macroscopic scale by analyzing the collective motion of
1. According to Le Chateliers principle, when an independent variable of a system at
equilibrium is changed, the equilibrium shifts in the directions that tends to reduce the
effect of the change
2. According to the phase rule, the number F of degrees of