22.52J | Spring 2004 | Graduate

Statistical Thermodynamics of Complex Liquids


I. Introduction to Small Angle Neutron Scattering
1 The Structure Factor
2 Coherent and Incoherent Scattering
3 Density Auto-correlation Function: G(r)
4 Time-dependent Extension: G(r, t)
5 Dynamic Structure Factor: S(Q, ω)
6 Relation Between the Dynamic Structure Factor and Inelastic Scattering
7 Small Angle Scattering of Neutrons
II. Light and X-Ray Scattering–Static and Dynamic
8 Light and X-Ray Scattering–Static and Dynamic
III. Theory of Scattering from Biocontinuous Structures
9 Debye Theory of Scattering from Two-Component Porous Media
10 Models for Debye Correlation Function for the Bulk Contrast Case
11 Debye Correlation Function for the Interface Contrast Case
12 Asymptotic Model Applicable to Analysis of Large Q Data
13 Quiz 1
IV. Static Structure of Liquids
14 Canonical Ensemble
15 Chemical Potential and the Grand Canonical Ensemble
16 Thermodynamic Definition of Static Pair Correlation Function
17 Energy Equation of States
18 Virial Equation of States
19 Virial Expansion
20 Potential of Mean Force
V. The Ornstein-Zernike Equation and Liquid Theories
21 PY Solution for Hard Spheres
22 Thermodynamic Perturbation Theory
23 HNC Approximation
24 One-Component Macroion Theory (OCM)
25 Generalized One-Component Macroion Theory (GOCM)
26 Hard Spheres and Sticky Hard Spheres
VI. Hard Sphere and Sticky Hard Sphere Systems
27 Hard Sphere and Sticky Hard Sphere Systems
VII. Coulomb Liquids
28 Debye-Hückel Approximation
29 The Mean Spherical Approximation
VIII. Ion Condensation Problem
30 Ion Condensation of Planar Surfaces
31 Ion Condensation on Cylindrical Polyelectrolytes
32 Ion Distribution around Spherical Charged Particle
33 Quiz 2

Course Info

As Taught In
Spring 2004