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Chapter 52 – SANS FROM POLYMER BLENDS UNDER PRESSURE

Chapter 52 – SANS FROM POLYMER BLENDS UNDER PRESSURE. 52:3. COMPRESSIBLE POLYMER BLEND MODEL. 52:4. A POLYOLEFIN POLYMER BLEND UNDER PRESSURE. 52:5. THE DPS/PBMA POLYMER BLEND UNDER PRESSURE. 52:6. SUMMARY AND DISCUSSION. 52:3. COMPRESSIBLE POLYMER BLEND MODEL.

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Chapter 52 – SANS FROM POLYMER BLENDS UNDER PRESSURE

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  1. Chapter 52 – SANS FROM POLYMER BLENDS UNDER PRESSURE 52:3. COMPRESSIBLE POLYMER BLEND MODEL 52:4. A POLYOLEFIN POLYMER BLEND UNDER PRESSURE 52:5. THE DPS/PBMA POLYMER BLEND UNDER PRESSURE 52:6. SUMMARY AND DISCUSSION

  2. 52:3. COMPRESSIBLE POLYMER BLEND MODEL Lattice Fluid equation of state: Ternary RPA model: Bare form factors:

  3. COMPRESSIBILITY EFFECT Excluded volume factors: Where:

  4. Input: f1, f2, v1*, v2*, P1*, P2*, T1*, T2* Initial Guess: P12*= Use Mixing Rule: P*=f12P1*+2f1f2P12*+f22P2* P*/kBT*=f1P1*/kBT1*+ f2P2*/kBT2* Solve Lattice Fluid Equation of State: (1-f0)2 + P/P* + [ln(f0)+1-f0]T/T* = 0 Iterate Obtain Free Volume: f0 Input: r1,r2, a1, a2 Fit RPA Equations to SANS Data: Using expressions for S11(Q), S22(Q) and S12(Q) in terms of v11, v22, v12 and C11, C22, C12, v0, f0 Final f0 and P12* Obtain: P12* SANS DATA ANALYSIS

  5. RESULTS

  6. RESULTS

  7. 52:4. A POLYOLEFIN POLYMER BLEND UNDER PRESSURE

  8. 52:5. THE DPS/PBMA POLYMER BLEND UNDER PRESSURE

  9. DH<0, DV<0 pressure DH>0, DV>0 phase separated pressure pressure DH<0, DV<0 phase separated T e m p T e m p mixed phase mixed phase T e m p mixed phase phase separated phase separated pressure DH>0, DV<0 composition composition composition dPS/PVME dPMB/PEB dPS/PBMA 52:6. SUMMARY AND DISCUSSION Clausius-Clapeyron equation:

  10. COMMENTS -- Compressible polymer blends are described by an equation-of-state and the ternary Random Phase Approximation (RPA) equations. -- The free volume plays the role of a third component. -- The Clausius-Clapeyron equation predicts the pressure-dependence of the phase transition lines. -- The Lower Critical Spinodal Temperature (LCST) and the UCST can increase or decrease with pressure. -- The LCST is due to specific interactions.

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