1 semi-crystalline polymer morphologies and their hierarchical morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

Semi-CrystallineHelical StructureChain FoldingSemi-Crystalline Fibrillar GrowthSpherulitic, shish-kabob, epitaxial surface nucleation, Crystalline OrientationLamellar OrientationMacroscopic Orientation

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

Paul Phillips 1990 Review

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Paul Phillips 1990 Review

Rigid, semi-Rigid, FlexiblePolymer Chains

On melting the entropy gain is smallbecause the crystallizing units are

chemically bound. The random coilstate is seen classically as the highestentropy state. For rigid polymers the

ground state may be a lower entropy state.

Kevlar

Polythiophene

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

Paul Phillips 1990 Review

Tacticity

Tacticity governs the helical structure

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Chain Folding and Crystallization

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

n-alkane boiling and melting points

“n”

Boili

ng

(to

p)

or

Melt

ing

(b

ott

om

) P

oin

t

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

“Crystals act like crosslinks in rubber” P. Phillips 1990

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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http://www.eng.uc.edu/~gbeaucag/Classes/MorphologyofComplexMaterials/Chapter2html/Chapter2.html

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

Solution Crystallization

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Why do Chains Fold?

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Why do Chains Fold?

For an infinite crystal V/S is very large and we can ignore the surfaceAt the equilibrium melting point ΔG = 0 so:

substituting in the first equation,

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Why do Chains Fold?

For a lamellar crystal S is 2R2 and V is tR2

At a pseudo-equilibrium point where the crystal has a finite thickness of t and a depressedmelting point, T

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Why do Chains Fold?

or

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Hoffman-Weeks Plot

http://www.eng.uc.edu/~gbeaucag/Classes/MorphologyofComplexMaterials/Chapter2html/Chapter2.html

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

Diffusion of impurities versus growth rate of crystallization front

J = -D dc/dx for flux of impuritiesG = linear growth rate of crystal

D/G = δ, the Keith-Padden δ-parameter

This determines the coarseness of the spherulite (lateral size)

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

Add a first stem, then subsequent stems.

First stem and subsequent stems add

2b0σl and b0σl

To the free energy (cost to make a surface)

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

First stem:

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Hoffman-Lauritzen Secondary Nucleation Theory

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Primary Nucleation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Primary Nucleation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Spherulites

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Primary Nucleation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

http://www.eng.uc.edu/~gbeaucag/Classes/MorphologyofComplexMaterials/Chapter2html/Chapter2.html

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

Non Crystallographic Branching

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Semi-Crystalline Polymer Morphologiesand their Hierarchical Morphologies

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Spherulitic Growth Rate

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Avrami Equation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Avrami Equation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Avrami Equation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Avrami Equation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Avrami Equation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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Avrami Equation

http://scholar.lib.vt.edu/theses/available/etd-051799-162256/unrestricted/polyimide2.pdf

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