Polymers Flashcards
Crystallisation
Driving force is g = h - ts
S is reduced when the temperature is decreased as a crystalline structure is achieved
System is in equilibrium when G is a minimum
Refers to the alignment of polymer chains at specific distances (occurs due to strong intermolecular forces
polymers usually only partially disentangle so they will only partially crystalise
Mechanism of Crystallization
Thermodynamically favourable when the magnitude of enthalpy (latent heat) is very negative and the change is greatest than T*S
Tacticity
Structural property of polymers that refers to the way groups are arranged along a hydrocarbon
- Isotactic
- Syndiotactic
- Atactic
Isotactic
- Have pendant groups which are located on the same side of the hydrocarbon chain
- Usually arrange themselves in higher ordered structures with high level of order (semi-crystalline)
- All groups have the same steric order and usually reaches 65% crystallinity
Syndiotactic
- Have pendant groups that are arranged in an ordered and regular pattern around the hydrocarbon chain
- Direction of the group alternates
- Semi-crystalline
Atactic
- Random pattern of pendant group arrangement
- The polymers lack translational symmetry making them amorphous
- Are not crystalline
- Not the same steric order
Lamellar Structure in Polymer Crystals
- Polymer chains must fold in order to form crystals
- Lamellar crystallites are never 100% crystalline due to folded regions
- Fold length is calculated from L (long period) through SAXS
SAXS
- Small Angle X-ray Scattering
- Measures the lamellar crystal thickness by analysing peak positions
- follows Braggs law: n(lambda) = 2dsin(theta)
WAXS
- Wide Angle X-ray Scattering
- Used to measure degree of crystallinity
- Mass fraction of crystal = Xc = Ac/(Aa + Ac)
- Peaks will refer to diffraction peaks. If its amorphous there will be no peaks and if its amorphous + crystalline, there will be many peaks present
Effect of pressure on lamellar structure
Increasing pressure increases crystallisation at low supercooling
Annealing Effect
- Refers to the thermal treatment post crystallisation at temperatures higher than the crystallisation temperature
Crystallisation Under Stress
- Under certain processes, crystallisation occurs under lots of stress (from strain)
- Extends the chain molecule which reduces the number of possible conformation
- Entropy = S = kbln(resistance)
Spherulite
- Formed from melt or concentrated solution
- Folding is stacked and radiates from a nucleus centre
- Single lamellas grow into hendrides which are groups of lamellas radiating from a central nucleaus
- There is a big range of orientations with amorphous regions between the lamellar crystalline branches - semi crystalline
- Growth of spherulites strongly depends on crystalisation temperature - is at 0 at Tm and Tg and max in between these two temperatures
Crystal Growth
- Refers to the temperature dependence for short range transport
- Below Tf, there will be no mobility in the polymer chains
- As Tg is approached, the transport term severely limits crystallisation
- Crystallisable material is moved to the growth face (where the existing nucleus is) and non-crystallisable material is moved away from the growth face
Growth of Spherulites
- r = vt (spherulite radius = growth rate * time)
- The spherulites grow linearly with time at a constant pressure
- Polymer chains with more molar mass take a longer amount of time to crystallise
- When density increases, crystallisation will also increase so crystallisation rate increases during heterogenous nucleation
- Also increases with epitaxy (which is the ability for a layer of a material to conform to the same crystal structure as the layer underneath
Heterogenous nucleation
- Fluid materials are in contact with a surface or different medium (like cold air)
- Enhances nucleation at the interface
Melting of polymers
- Slow melting is better as fast melting does not give the system enough time to reorganize
- Equilibrium at Tm means that Delta G = 0 so Tm = Delta Hf/Delta Sf (enthalpy of fusion/entropy of fusion)
- Transition from crystalline solid to a fluid phase is a first order transition which occurs at Tm
Hoffman-Weeks Plot
- Tm vs Tc is generally linear and Tm > Tc
- Tm = Tc if heating and and cooling cycles were done infinitely
- Equilibrium temperature (Tm o) is the temperature where crystallisation takes place through an infinitely slow process and the crystal obtained is formed by fully extended chains
- Crystallisation temperature dictates the amount of crystaline component. Higher the crystalline temperature, the larger the crystalline component. More crystalline component will melt at higher temperatures
Gibbs-Thompson Equation
- At T < Tm o, Delta G f is not 0
- At Tm there is no change in free energy for the idealized boundaryless crystal since melting and crystalisation are equally probably.
- A critical length will be achieved (l*) which will make a secondary nuclealus stable so delta Gn = 0
Copolymer
- Consists of two or more types of monomers
- If a polymer is made of a crystallisable polymer and non-cystallisable polymer
Random copolymers
- don’t crystallise
- generally amorphous
- if it is a block or graft polymer, it can partially crystallise
pressure and Tm
- As pressure increases there is an increase in the supercooling at processing temperature (Tm increases)
- The addition of small molecules (like solvents and monomers) interact with the macromolecular chains through Van der Wall forces or Hydrogen Bonds
- Causes depression of the melting temperature of the polymer solid
- Higher pressure induces higher melting temperature which allows the polymer to crystalllise at higher T
Amorphous state of polymers
- State which does not have any long-range order
- Lack of order caused by highly irregular polymer chain and the kinetics of the formation of the solid exceed the rate at which crystallisation may occur
- Does not give rise to typical features of crystals but still characterised by glass transition temperature
Glass transition temperature
- Temperature where amorphous polymer changes from hard/glossy state to a soft
- At T < Tg - glass (chains are still frozen in position
- At T > Tg - rubber-like (chains are allowed movement)
- Tg is only associated with the amorphous portion. Properties of the material change as a function of temeprature
- Acts as a second-order thermodynamic transition