Polymers
Classification (addition/condensation, thermoplastics/thermosets), radical polymerization mechanism, anionic/cationic polymerization, coordination polymers (Ziegler-Natta), copolymers, thermal properties (Tg, Tm), industrially important polymers (polyethylene, polypropylene, PVC, polystyrene, PET, nylon, polycarbonates).
Complete Theory
7Polymers are macromolecules made up of repeating structural units called monomers. The number of repeating units is the degree of polymerization (n). A polymer with small n is an oligomer.
Classification by type of reaction:
Classification by type of reaction:
- Addition polymerization (chain growth): monomers add one after another without loss of small molecules. The polymer has the same elemental composition as the monomer. Typical for vinyl monomers (C=C). Example: polyethylene from ethylene.
- Condensation polymerization (step growth): monomers react with elimination of small molecules (H₂O, HCl, CH₃OH). Requires monomers with 2+ functional groups. Example: nylon 6,6 from adipic acid + hexamethylenediamine.
- Thermoplastics: soften when heated and harden when cooled (reversible process). Have linear or branched chains, not cross-linked. Examples: PE, PP, PVC, PS, PET.
- Thermosets: undergo irreversible cross-linking during polymerization. Once formed, cannot be remelted. Examples: epoxy resins, phenolic resins (Bakelite), cross-linked polyurethanes.
- Linear: monomers linked in a continuous chain.
- Branched: side chains attached to the main chain.
- Cross-linked: covalent bonds between different chains, forming a three-dimensional network.
Radical polymerization is a chain-growth process involving free radicals. It mainly applies to vinyl monomers (CH₂=CHR). The three phases are:
1. Initiation: generation of primary radicals from an initiator (peroxides, azo compounds). Example: benzoyl peroxide (PhCOO)₂ → 2 PhCOO• (heat or UV light). The radical attacks the C=C double bond of the monomer:
2. Propagation: the growing radical attacks a new monomer, adding one unit to the growing chain: Propagation is very fast (10³–10⁴ L/mol·s) and the addition is typically head-to-tail (the more stable radical forms on the more substituted C atom).
3. Termination (2 main modes):
Real-world applications: low-density polyethylene (LDPE, production ≥ 2000 atm, radical), polystyrene (PS, packaging, insulation), polyvinyl chloride (PVC, pipes, windows), polymethyl methacrylate (PMMA, Plexiglas).
1. Initiation: generation of primary radicals from an initiator (peroxides, azo compounds). Example: benzoyl peroxide (PhCOO)₂ → 2 PhCOO• (heat or UV light). The radical attacks the C=C double bond of the monomer:
2. Propagation: the growing radical attacks a new monomer, adding one unit to the growing chain: Propagation is very fast (10³–10⁴ L/mol·s) and the addition is typically head-to-tail (the more stable radical forms on the more substituted C atom).
3. Termination (2 main modes):
- Combination: two radicals join forming a covalent bond: R—(CH₂—CHR'){n}—CH₂—•CHR' + •R'CH—CH₂—(CH₂—CHR'){m}—R → R—(sequence)—R. The chain is about twice as long as n.
- Disproportionation: one radical transfers an H• to another, forming a terminal alkene and a saturated chain. Molecular weight is about n.
Real-world applications: low-density polyethylene (LDPE, production ≥ 2000 atm, radical), polystyrene (PS, packaging, insulation), polyvinyl chloride (PVC, pipes, windows), polymethyl methacrylate (PMMA, Plexiglas).
Ionic polymerization uses ionic initiators (Lewis acids/bases, alkali metals) instead of radicals. It is divided into:
Anionic polymerization: the initiator is a strong nucleophile (n-BuLi, NH₂⁻, NaNH₂). The monomer must have electron-withdrawing groups (styrene, butadiene, methyl methacrylate). Advantage: living polymers — without termination, the chain remains active until monomer exhaustion. Adding a second monomer produces block copolymers.
Cationic polymerization: the initiator is a Lewis acid (BF₃, AlCl₃) + a co-initiator (H₂O). Requires monomers with electron-donating groups (isobutylene, vinyl ethers). Temperature-sensitive: low T favors long chains.
Polymer stereochemistry: the arrangement of substituents along the chain determines tacticity:
Real-world applications: living anionic polymerization produces polybutadiene and polystyrene with narrow molecular weight distributions (PDI ≈ 1.0). Block copolymers (SBS, styrene-butadiene-styrene) are thermoplastic elastomers used in shoe soles and adhesives.
Anionic polymerization: the initiator is a strong nucleophile (n-BuLi, NH₂⁻, NaNH₂). The monomer must have electron-withdrawing groups (styrene, butadiene, methyl methacrylate). Advantage: living polymers — without termination, the chain remains active until monomer exhaustion. Adding a second monomer produces block copolymers.
Cationic polymerization: the initiator is a Lewis acid (BF₃, AlCl₃) + a co-initiator (H₂O). Requires monomers with electron-donating groups (isobutylene, vinyl ethers). Temperature-sensitive: low T favors long chains.
Polymer stereochemistry: the arrangement of substituents along the chain determines tacticity:
- Isotactic: all substituents on the same side (same R/S configuration). Crystalline, high Tm, strong.
- Syndiotactic: alternating substituents (R,S,R,S...). Crystalline.
- Atactic: random arrangement. Amorphous, low or no Tm.
Real-world applications: living anionic polymerization produces polybutadiene and polystyrene with narrow molecular weight distributions (PDI ≈ 1.0). Block copolymers (SBS, styrene-butadiene-styrene) are thermoplastic elastomers used in shoe soles and adhesives.
Ziegler-Natta catalysts (Nobel Prize 1963) revolutionized polyolefin production. They are heterogeneous catalysts based on transition metal compounds (TiCl₄, TiCl₃) + alkyl-aluminum co-catalysts (AlEt₃, AlEt₂Cl). Mechanism:
Metallocene catalysts (Kaminsky, 1980s): homogeneous single-site catalysts (e.g., Cp₂ZrCl₂ + MAO). Produce polymers with very narrow molecular weight distribution (PDI ≈ 2) and exceptional steric control (syndiotactic PP, linear low-density polyethylene).
Copolymers: polymers formed from 2+ different monomers:
- Coordination of the monomer (ethylene, propylene) to the metal center (Ti) via the C=C double bond.
- Insertion of the monomer into the Ti—C bond (1,2-migration).
- Repetition: the active site is always the Ti—C bond of the last inserted unit.
Metallocene catalysts (Kaminsky, 1980s): homogeneous single-site catalysts (e.g., Cp₂ZrCl₂ + MAO). Produce polymers with very narrow molecular weight distribution (PDI ≈ 2) and exceptional steric control (syndiotactic PP, linear low-density polyethylene).
Copolymers: polymers formed from 2+ different monomers:
- Random (statistical): random distribution — AABABBAB... Properties intermediate between the two homopolymers.
- Alternating: regular sequence — ABABAB... Maximum interaction between different units.
- Block: long sequences of AAAAA-BBBBB-AAAAA... Combined properties (e.g., SBS elastomeric).
- Graft: side chains of one polymer attached to the main chain of another.
The main commodity polymers and their properties:
Polyethylene (PE):
Polyvinyl chloride (PVC): formula (—CH₂—CHCl—)ₙ. Strong, durable, can be rigid (pipes, windows) or flexible with plasticizers (cables, flooring). Environmental issue: releases HCl when burned. Tm ≈ 100–260°C (variable).
Polystyrene (PS): formula (—CH₂—CHPh—)ₙ. Transparent, rigid, brittle. Expanded PS (EPS, Styrofoam): thermal insulation. Tm ≈ 240°C.
PET (polyethylene terephthalate): polyester from terephthalic acid + ethylene glycol (condensation). Tm ≈ 260°C. Uses: beverage bottles, textile fibers (polyester). Recyclable.
Nylon 6,6: polyamide from hexamethylenediamine + adipic acid. Strong, elastic, abrasion-resistant fibers. Tm ≈ 265°C. Uses: textiles, ropes, gears.
Polycarbonate (PC): from bisphenol A + phosgene (or diphenyl carbonate). Transparent as glass, impact resistant. Tm ≈ 150°C (amorphous, Tg ≈ 147°C). Uses: CD/DVD, lenses, medical devices, screens.
Thermal properties:
Polyethylene (PE):
- HDPE (high density, 0.94–0.97 g/cm³): linear, Ziegler-Natta or metallocene catalysts. Tm ≈ 130°C. Uses: bottles, pipes, containers.
- LDPE (low density, 0.91–0.94 g/cm³): branched, high-pressure radical polymerization (1000–3000 atm). Tm ≈ 105°C. Uses: film, bags, coatings.
- LLDPE (linear low density): ethylene/1-butene or 1-hexene copolymer, metallocenes. Stretch film.
Polyvinyl chloride (PVC): formula (—CH₂—CHCl—)ₙ. Strong, durable, can be rigid (pipes, windows) or flexible with plasticizers (cables, flooring). Environmental issue: releases HCl when burned. Tm ≈ 100–260°C (variable).
Polystyrene (PS): formula (—CH₂—CHPh—)ₙ. Transparent, rigid, brittle. Expanded PS (EPS, Styrofoam): thermal insulation. Tm ≈ 240°C.
PET (polyethylene terephthalate): polyester from terephthalic acid + ethylene glycol (condensation). Tm ≈ 260°C. Uses: beverage bottles, textile fibers (polyester). Recyclable.
Nylon 6,6: polyamide from hexamethylenediamine + adipic acid. Strong, elastic, abrasion-resistant fibers. Tm ≈ 265°C. Uses: textiles, ropes, gears.
Polycarbonate (PC): from bisphenol A + phosgene (or diphenyl carbonate). Transparent as glass, impact resistant. Tm ≈ 150°C (amorphous, Tg ≈ 147°C). Uses: CD/DVD, lenses, medical devices, screens.
Thermal properties:
- Tg (glass transition temperature): transition from hard-brittle (glassy) to soft-rubbery (elastomeric). Below Tg: chains frozen. Above Tg: segmental motion.
- Tm (melting temperature): transition from crystalline solid to liquid. Only in semi-crystalline polymers.
Condensation (or step-growth) polymerization occurs between two bifunctional monomers (or one monomer with two different functional groups) with elimination of a small molecule (H₂O, HCl, CH₃OH). Unlike addition polymerization, the molecular weight grows gradually and any pair of chains can react.
Polyesters:
Polyurethanes: from a diisocyanate (OCN—R—NCO) + a diol: no small molecule is eliminated, but it is classed as condensation. Used for foams (mattresses, insulation), elastomers, coatings, adhesives.
Real-world applications: biodegradable plastics (PLA, PHA) are gaining importance against pollution. Nylon revolutionized textiles. Kevlar (an aromatic polyamide) is used in bulletproof vests (5× the strength of steel by weight).
Polyesters:
- From a diacid (HOOC—R—COOH) and a diol (HO—R'—OH): repeated esterification.
- PET (polyethylene terephthalate): terephthalic acid + ethylene glycol, for bottles and textile fibers (Dacron, polyester).
- PLA (polylactic acid): biodegradable polymer from lactic acid (corn starch), for compostable packaging and medical implants.
- From a diacid and a diamine (or from an ω-amino acid).
- Nylon-6,6: adipic acid (6C) + hexamethylenediamine (6C). Strong, elastic, abrasion-resistant fibers.
- Nylon-6: ring-opening polymerization of caprolactam (a cyclic amide).
Polyurethanes: from a diisocyanate (OCN—R—NCO) + a diol: no small molecule is eliminated, but it is classed as condensation. Used for foams (mattresses, insulation), elastomers, coatings, adhesives.
Real-world applications: biodegradable plastics (PLA, PHA) are gaining importance against pollution. Nylon revolutionized textiles. Kevlar (an aromatic polyamide) is used in bulletproof vests (5× the strength of steel by weight).
World plastic production exceeds 400 million tonnes per year (2023). Less than 10% is recycled: plastic pollution is a global environmental crisis.
Recycling codes and polymer types:
Recycling codes and polymer types:
- PET (code 1): recyclable (bottles → fibers, new bottles). Mechanical recycling: grind, wash, remelt.
- HDPE (code 2): recyclable (milk jugs, detergents).
- PVC (code 3): hard to recycle (contains chlorine and additives).
- LDPE (code 4): recyclable (bags, films).
- PP (code 5): recyclable (caps, containers).
- PS (code 6): rarely recycled (expanded polystyrene).
- Other (code 7: polycarbonate, acrylic, nylon): seldom recycled.
- PLA (polylactic acid): biodegradable in industrial composting, from corn starch.
- PHA (polyhydroxyalkanoates): produced by bacteria, biodegradable even in the marine environment.
- PBAT: biodegradable, flexible polyester for compostable films.
- Chemical recycling (depolymerization into monomers) is costly but can yield virgin-grade polymers.
- Microplastics (< 5 mm) are everywhere: environment, drinking water, living organisms.
- Oxo-degradable plastics fragment into microplastics without biodegrading.
- The circular economy needs better collection, sorting and recycling technologies.
Worked Examples
2Example 1Average molecular weight calculation
Given
A polystyrene sample contains: 10 moles of chains with M = 50000 g/mol, 5 moles of chains with M = 100000 g/mol, 2 moles of chains with M = 200000 g/mol.
Find
Calculate Mn (number average) and Mw (weight average).
Step-by-step solution
1Mn = Σ(Ni × Mi) / ΣNi = (10×50000 + 5×100000 + 2×200000) / (10+5+2) = (500000 + 500000 + 400000) / 17 = 1400000 / 17 = 82353 g/mol.
2Mw = Σ(Ni × Mi²) / Σ(Ni × Mi) = (10×50000² + 5×100000² + 2×200000²) / (10×50000 + 5×100000 + 2×200000).
3Numerator: 10 × 2.5×10⁹ + 5 × 1×10¹⁰ + 2 × 4×10¹⁰ = 2.5×10¹⁰ + 5×10¹⁰ + 8×10¹⁰ = 1.55×10¹¹.
4Denominator: 1400000 (from above). Mw = 1.55×10¹¹ / 1.4×10⁶ = 110714 g/mol. PDI = Mw/Mn = 110714/82353 = 1.34.
✓ Final result: Mn = 82353 g/mol, Mw = 110714 g/mol, PDI = 1.34
Example 2Block copolymer synthesis (living)
Given
Living anionic polymerization: n-BuLi + styrene (first block), then addition of butadiene (second block).
Find
Describe the sequence and structure of SBS (styrene-butadiene-styrene) copolymer.
Step-by-step solution
1Phase 1: n-BuLi initiates styrene polymerization. The anionic chain lives (no termination). We get: Bu-(Styrene){n}-CH₂—•CHPh Li⁺, with n controlled by the [M]/[I] ratio.
2Phase 2: butadiene is added. The macroanion lives and starts polymerizing butadiene, forming a central block: Bu-(Styrene){n}-(Butadiene){m}—•CH₂CH=CHCH₂ Li⁺.
3Phase 3: more styrene is added for the third block: Bu-(S){n}-(B){m}-(S){p}—Li⁺. Termination is achieved by adding an H-donor (e.g., CH₃OH).
4Result: SBS, a thermoplastic elastomer. The rigid PS blocks (Tg ≈ 100°C) form physical cross-linking domains, while the central PB block (rubbery) provides elasticity. Unlike thermosets, SBS can be reprocessed by heat (physical, not covalent, cross-linking).
✓ Final result: SBS: PS-elastomeric-PS, thermoplastic elastomer (physical cross-linking)
Exercises with Solutions
3Exercise 1Polymer classificationMedium
Problem to solve
Classify each polymer as thermoplastic or thermoset and explain: (a) polyethylene, (b) epoxy resin, (c) nylon 6,6, (d) Bakelite (phenol-formaldehyde resin).
Given data
Definition: thermoplastics soften with heat, thermosets cross-link irreversibly
Step-by-step solution
1(a) Polyethylene: thermoplastic. Non-cross-linked linear/branched chains. Can be melted and remolded multiple times.
2(b) Epoxy resin: thermoset. During polymerization, cross-links form (with amine hardener). Once cross-linked, it does not melt.
3(c) Nylon 6,6: thermoplastic. Linear polyamide, melts at 265°C, can be extruded and injection molded.
4(d) Bakelite: thermoset. Cross-linking during polymerization (C-stage). Does not melt, decomposes at T > 300°C.
✓ Final answer: PE = thermoplastic; epoxy = thermoset; nylon = thermoplastic; Bakelite = thermoset
Exercise 2Ziegler-NattaHard
Problem to solve
Why is polypropylene obtained with Ziegler-Natta catalysts isotactic, while that obtained by radical polymerization is atactic?
Given data
Z-N catalyst: TiCl₄ + AlEt₃, heterogeneous active siteRadical polymerization: peroxides, free mechanism
Step-by-step solution
1With Z-N: the monomer (propylene) coordinates to the metal center with a specific orientation. The CH₃ group always positions on the same side to minimize steric hindrance with the ligand. Each insertion occurs with the same stereochemistry → isotactic polymer.
2With radical mechanism: the growing radical has a planar (sp²) configuration at the terminal C atom. Monomer attack can occur from either side with equal probability → random arrangement (atactic).
3Isotactic PP is semi-crystalline (Tm 165°C), rigid, and strong. Atactic PP is amorphous, rubbery, with no commercial value.
✓ Final answer: Z-N orients the monomer in the active site (same face) → isotactic. Radical: attack from both sides → atactic.
Exercise 3Thermal propertiesVery Hard
Problem to solve
A semi-crystalline polymer has Tg = 80°C and Tm = 250°C. Describe the physical state of the material at: (a) 25°C, (b) 120°C, (c) 200°C, (d) 280°C.
Given data
Tg < Tm. Below Tg: glassy. Between Tg and Tm: rubbery (amorphous phase) + crystalline. Above Tm: liquid.
Step-by-step solution
1(a) 25°C (< Tg): the polymer is glassy (hard and brittle). Chains in the amorphous phase are frozen. The crystalline phase is present as ordered domains.
2(b) 120°C (Tg < T < Tm): the amorphous phase is rubbery (segmental motion). The crystalline regions (Tm 250°C) act as physical cross-linking points, maintaining shape. The material is tough and deformable.
3(c) 200°C (Tg < T < Tm, near Tm): still rubbery but the crystalline regions begin to partially melt. The material becomes softer.
4(d) 280°C (> Tm): the polymer is completely melted (viscous liquid). Chains have full mobility.
✓ Final answer: (a) glassy, (b) rubbery with crystallites, (c) rubbery/soft, (d) liquid
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