1-3 PChem: Quantum-Thermodynamics Equations

1: Rayleigh-Jeans Law

1: 4 Hermition Operators (Momentum, PE, KE, H)

1: Eigenvalue

1: Expectation Value

1: Schrodinger Equations (Time-independent and dependent)

1: Normality and Orthogonality

1: Heisenberg Uncertainty Principle

1: Free Particle

1: Particle in a Box

1: Harmonic Oscillator

<x> = 0 ; E(Ψ) = KE(1D) + ½ kx² Ψ

1: Vibrational Modes

1: Bohr’s Radius of Electron Orbit

1: Schrodinger (1 e-)

1: Schrodinger (many e-, He)

Protons and Neutrons not included because of Born-Oppenheimer Approximation (nucleus is more big, too slow and can be assumed as stationary with comparison to electrons)

2: Work (Free Expansion, Cons. Pext, Isothermal Reversible)

2: First Law of Thermodynamics

2: Partial Derivatives of U

2: Heat Capacity at Constant V Derivatives

2: Internal Pressure Derivatives

2: Enthalpy

2: Enthalpy of Reaction

2: Partial Derivative of H

2: Heat Capacity at Constant P

2: Isothermal Joule-Thomson Coefficient

2: Ideal Gas in Adiabatic Process (constant TV PV)

2: Thermal Expansion Coefficient (α) + Isothermal Compressibility (K)

2: Cp - Cv Relation

2: Cp, Cv, γ

2: Heat Capacity

2: Sensible Heat, Latent Heat

Sensible Heat (temperature change), Latent Heat (phase change)

2: Kirchoff’s Law

2: Enthalpy of Combustion Reactions

2: Heat Capacity Constants

3: Second Law of Thermodynamics (Entropy)

3: Entropy of Reactions

3: Boltzmann Entropy

Kb = constant; Omega = microstates; W = number of orientations

3: Carnot Engine (r Compression Ratio; PMe Mean Effective Pressure)

3: Carnot Efficiency (Heat Engine, Refrigerator, Heat Pump)

3: Entropy (Sensible Heat, Latent Change)

Sensible Heat (temperature change), Latent Heat (phase change)

3: Helmholtz, Gibbs Free Energy

A = constant T, V
G = constant T, P

Table: 1st Law, W, U, Q, H, S, VTP (Isobaric, Isochoric, Isothermal, Adiabatic)

3: H S Relations Table

3: Entropy (Gibbs) Equations

3: Gibbs-Helmholtz Equation

3: Van’t Hoff Equation

ln(y) = mx + b
y = B x + A

3: Maxwell Relations