1. Lecture 1： Thermodynamics review
Statistical Thermodynamics
Lecture 1： Thermodynamics review
Dr. Ronald M. Levy

2. Statisitical Mechanics
Chemical Physics: Statistical mechanics
Chemical Physics:
explain microscopic properties based on the properties of individual molecules and molecular interactions
Statistical Mechanics:
Statisitical Mechanics
Microscopic
Macroscopic
Atom
Molecule
Thermodynamics
Themodynamics:
Mathematical relation between experimental properties of macroscopic systems
volumetric thermal expansion coefficient
Isothermic compressibility coefficient
MQ. Chapter 1 1

3. The three laws of thermodynamics2

4. Thermodynamic Potential: dE = dQ – dW = TdS – pdV E (S, V)
The differential form of first law of thermodynamics
dE = dQ – dW = TdS – pdV
E (S, V)
Independent Variable
Thermodynamic Potential
(S, V)
Internal energy
E (S, V)
Helmholtz free energy
(T, V)
A (T, V)
(T, p)
G (T, p)
Gibbs free energy
(S, p)
Enthalpy
H (S, p)
Done by Legendre transform 3

5. Legendre transformation
Legendre Transforms:
y(x)
P1 =
Ψ2 (intercept)
P2 = Ψ1
y(x)
Ψ(P)
Relation between the tangent and the intercept at any point on the function
How do we find the inverse Legendre transforms? 4

6. Application of Legendre transform
Legendre transform 5

7. Maxwell Relations and Thermodynamic square:V S P T F G H E V P S T P S V T P S
Symmetric means + S T P V T P
Asymmetric means - G V S
Gibbs free energy
1st Derivative
Equation of state
2st Derivative
Maxwell relations 6