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Chapter 43 – SANS FROM CRYSTALLINE LAMELLAE

Chapter 43 – SANS FROM CRYSTALLINE LAMELLAE. 43:3. FORM FACTOR FOR A SINGLE LAMELLA. 43:4. INTER-LAMELLAE STRUCTURE FACTOR. 43:5. THE SCATTERING FACTOR. z. R. y. Crystalline. x. Amorphous. 43:3. FORM FACTOR FOR A SINGLE LAMELLA. Recall:. Longitudinal:. Transverse:.

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Chapter 43 – SANS FROM CRYSTALLINE LAMELLAE

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  1. Chapter 43 – SANS FROM CRYSTALLINE LAMELLAE 43:3. FORM FACTOR FOR A SINGLE LAMELLA 43:4. INTER-LAMELLAE STRUCTURE FACTOR 43:5. THE SCATTERING FACTOR

  2. z R y Crystalline x Amorphous 43:3. FORM FACTOR FOR A SINGLE LAMELLA Recall: Longitudinal: Transverse: Form factor amplitude: Form factor:

  3. z R y x Crystalline Amorphous Tie chain L Lc 43:4. INTER-LAMELLAE STRUCTURE FACTOR Inter-lamellae distribution: Structure factor:

  4. z Q z q = cos-1(m) Region A is amorphous Region B is crystalline z Region C is solvent z lamellar stack Q 43:5. THE SCATTERING FACTOR Sponge-like structure: Cross section: Amplitudes: Structure factor: Final cross section:

  5. COMMENTS -- Poly(ethylene oxide) in ethanol forms crystalline lamellar stacks. -- A sponge-like morphology is formed whereby pocket of solvent are entrapped. -- The stacked lamellae model describes this structure. -- Material balance equations yield detailed information about the crystalline and amorphous parts.

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