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Lecture #3
Lecture 3
Objectives: Students will be able to:
1. Describe the rst law in terms of heat and work interactions.
2. Describe the second law in terms of adiabatic and reversible processes.
3. Identify the dierence between internal and total ene
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Lecture #12
Lecture 12
Objectives:
1. Introduction to Statistics
(a) Be able to compute expectation values from discrete and continuous distributions
(b) Be able to dene three properties of expectation values
(c) Be able to compute moments of a distribu
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Lecture #9
Lecture 9
Objectives:
1. Be able to explain what statistical mechanics is and why it is important.
2. Basic tools of Statistical Mechanics
3. Classical Mechanics: Be able to write the Newtonian, Lagrangian, and Hamiltonian equations
4. Quantu
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Lecture #14
Lecture 14
Objectives:
1. Be able to derive the thermodynamic total energy from the partition function.
2. Be able to derive the classical partition function.
(a) Identify when energy levels can be treated classically.
(b) List the assumptio
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Lecture #11
Lecture 11
Overview
1. Be able to dene electronic excitations in molecules and relate these to observed spectra.
2. Use the particle in a box model to estimate the electronic excitations in dye molecules.
3. Describe the Schrdinger equation
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Lecture #7
Lecture 7
Objectives:
1. Be able to dene a convenient path for process evaluation.
2. Be able to dene a residual function.
3. Be able to derive a volume explicit form for the residual function for any thermodynamic
function.
Process Evaluatio
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Lecture #10
Lecture 10
Objectives:
1. Be able to solve the particle in a box problem
2. Compare the classical and quantum harmonic oscillators
3. Compare the classical and quantum rotors
Example: Particle in a box
Consider a particle trapped in a one-di
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Lecture #8
Lecture 8
Objectives
1. Be able to derive a pressure explicit form for the residual function of any thermodynamic
variable.
Pressure Explicit Residual Functions
Most equations of state are pressure explicit, i.e., they are in the form P = f (
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Lecture #2
Lecture 2
Objectives: Students will be able to:
1. Identify dierent forms of work.
2. Calculate various types of work.
1. Work. There are many dierent kinds of work that can be performed on or by the system.
(a) Mechanical work
r2
Fi dr
w=
r1
Lecture #6
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Lecture 6
Objectives:
1. Be able to dene a convenient path for process evaluation.
2. Be able to play the Partial Derivative Game.
1. Process Evaluation. Suppose we want to evaluate the change in some property J = J (x, y ).
J could be any pr
Lecture #5
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Lecture 5
Objectives:
1. Be able to take any Legendre transform of any arbitrary function.
2. Derive the Gibbsian equations from Legendre transforms.
1. Legendre Transforms. A way to derive the auxiliary energy functions is to use Legendre
tr
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Lecture #13
Lecture 13
Objectives:
1. Ensembles: Be able to list the characteristics of the following:
(a) Microcanonical
(b) Canonical
(c) Grand Canonical
2. Be able to use Lagranges method of undetermined multipliers
3. Be able to derive the Canonical
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Lecture #18
Lecture 18
Objectives:
1. Be able to describe how intermolecular potentials give rise to nonideal uid and solid behavior.
2. Be able to discuss the origin of intermolecular forces.
3. Be able to give examples of several model interaction pot
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Lecture #15
Lecture 15
Objectives:
1. Be able to write down the semi-classical partition function.
2. Be able to state the assumptions associated with the semi-classical partition function.
3. Be able to change from sum over states to sum over levels.
4
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Lecture #16
Lecture 16
Objectives:
1. Be able to compute the following:
(a) Populations of ground and excited states
(b) Thermodynamic quantities such as entropy
1. Example: Electronic partition function and excited states.
Nitric oxide has a low-lying
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Lecture #4
Lecture 4
Objectives:
1. Understand the need for auxiliary functions.
2. Be able to derive the dierential functions from the Gibbsian equations.
3. Explain the chemical potential in physical terms.
1. Begin by reviewing the rst and second law
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Lecture #17
Lecture 17
Objectives:
1. Notation of chemical reactions
2. General equilibrium
3. Be able to derive the chemical equilibrium constants from statistical mechanics.
4. Identify how nonideal behavior can be accounted for in chemical reactions.