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Crystallinity in Polymers Sheaf-like arrangement of lamellae in a blend of polyethylenes System: Polyethylene (PE), Composition: LPE:BPE 3:1 An image of an alkane crystal taken by AFM System: Alkane, Composition: C 36 H 74 An image of a single crystal alkane System: Alkane, Composition: C 294 H 590 Single PE spherulite AFM Maltese cross spherulites
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Thermodynamics of melting and crystallization: First order transitions
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Amorphous v Crystalline Polymers Thermo-mechanical properties
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Density Increase Property Shrinkage, Stiffness, Tensile strength, Hardness, Heat deflection, Chemical resistance Weatherability Impact strength, Ductility Low density polyethylene(LDPE)915-92945-65 Medium density polyethylene (MDPE)930-93965-75 High density polyethylene(HDPE)940-96575-90 Material Density (kg/m3) % Crystallinity
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Thermal Transition Points of Select Polymers
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Rule of Thumb for T g ’s and T m ’s For symmetrical polymers: T g = 0.5 T m (Kelvin) For asymmetrical polymers: T g = 0.66 T m (Kelvin) Polyvinyl chloride T g = 81 + 273 = 377 K T m = Tg/0.66 = 354/0.66 = 536 K or 263°C Experimentally T m = 273 °C Polyvinylidene chloride T g = -18 + 273 = 255 K T m = Tg/0.50 = 255/0.5 = 510 K or 237°C Experimentally T m = 200 °C
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Rule of Thumb for T g ’s and T m ’s Caution: Its just a rule of thumb: Atactic polystyrene T g = 104 + 273 = 377 K T m = Tg/0.66 = 377/0.66 = 571 K or 298 °C Experimentally T m = 523 K or 250 °C
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Crystalline Polymers (really semicrystalline) Polar functionality
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Thermodynamic of Crystallization For melting S f is positive
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Intramolecular interactions ( H f ) favor crystallization & higher T m Hydrogen bonding 20 kJ/mol Van der Waals: 2 kJ/mole
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Explain why Nylon 6 has a lower T m than Kevlar
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Entropic Contributions to T m
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Flexible Chains have numerous conformations Nylon 6
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Rigid Chains have fewer conformations Kevlar example
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Polymer symmetry and Melting Point
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Molecular Weight Influence on Tm Melting temperatures of n- alkanes (up to C 100 ) as a function of chain length.
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Methods for Inducing Crystallization in Polymers Slow cooling of molten polymer Annealing between T g and T m Evaporation of solvent Shear & disintanglement Stretching and alignment of macromolecules
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Characterization of Crystalline Polymers: Diffraction
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Rare to get single crystals: Powder XRD or films
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Polyethylene’s Orthorhombic Unit cell
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Vinyl Polymer Crystals: Substituents favor helical conformation
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Characterization of Crystallinity in Polymers Polymers generally have crystalline and amorphous contributions
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Lamellar Structure of Polymer crystals
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Polymer single crystals: Graduate students nightmare Still lamellar structures
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Validation of Models
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Dislocations in Polymer Crystals
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From singhle crystals to Aggregate structures
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Polyethylene Spherulites
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Spherulite Growth from Lamellar crystals
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TEM of spherulite structure in natural rubber(x30,000). Chain-folded lamellar crystallites (white lines) ~10nm thick extend radially. Crystalline structures in polymers
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% Crystallinity: % of material that is crystalline. --TS and E often increase with % crystallinity. --Annealing causes crystalline regions to grow. % crystallinity increases.
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Stress-strain curves adapted from Fig. 15.1, Callister 6e. Inset figures along plastic response curve (purple) adapted from Fig. 15.12, Callister 6e. Tensile Response: Brittle & Plastic
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Temperature TgTg TgTg E Higher % S-Cryst Cooling rates for semi-crystallines are important! Amorphous polymer properties do not depend on cooling rate. Amorphous Semicrystalline polymer properties depend on final degree of crystallinity, and hence the rate of cooling. Lower % S-Cryst Achieved using slower cooling rates.
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Micrographs of Polymer Spherultes
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Seeing Maltese Crosses: Polarizing Microscopy
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Polarizing Optical Microscopy
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Formation of Ring Pattern: Lamellar Twisting
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Microfibriallar Morphology
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Polyethylene Fibers Nucleated on Si-C fibers: Shish-Kebobs
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Branching on Crystallinity Which one will be more likely to crystallize?
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Linear crystallizes easier (HDPE = linear; LDPE = branched)
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Nucleation Rates between Tg and Tm
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Primary Crystallization
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Crystallinity (%) Cooling rate ( o C/s) 10 20 30 40 0 0.010.11.010 100 Slow Cooling Quenching
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Early stages of crystallation of PEEK in the presence of a carbon fibre.
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Effects of Crystallinity 1)Strength: Stronger & Stiffer 2)Optical: Opaque (scattering by spherulites) 3)Higher density 4)Less Soluble 5)Less Permeable Smaller interchain distances Stronger intermolecular forces
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