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Explore the Flory-Huggins model for polymer blends, predict spinodal temperature, understand the contributions of entropic and enthalpic Gibbs free energy density, and use the Random Phase Approximation to fit SANS data. Measure Flory-Huggins interaction parameters.
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Chapter 38 – SANS FROM POLYMER BLENDS 38:1. THE FLORY-HUGGINS MODEL 38:2. BINODAL AND SPINODAL LINES 38:3. THE RANDOM PHASE APPROXIMATION 38:6. GIBBS FREE ENERGY DENSITY AND PHASE DIAGRAM
Polymer Blend 38:1. THE FLORY-HUGGINS MODEL Gibbs free energy density: Scattering factor: 38:2. BINODAL AND SPINODAL LINES Chemical potential: Osmotic pressure:
38:3. THE RANDOM PHASE APPROXIMATION Recall: Single-chain form factor: Cross section: 38:6. GIBBS FREE ENERGY DENSITY AND PHASE DIAGRAM Spinodal condition: Binodal condition:
GIBBS FREE ENERGY PHASE DIAGRAM
COMMENTS -- The Flory-Huggins model describes the phase behavior for polymer blends. It can predict the spinodal temperature. -- The Gibbs free energy density has two contributions: entropic and enthalpic. -- The Random Phase Approximation model is used to fit SANS data in the homogeneous (single-phase) region. -- Flory-Huggins interaction parameters can be measured.