How does it work?
Polymer, monomer, mer
A polymer is a very large molecule (a macromolecule) built from many repeating units — mers. The compound a polymer is made from is the monomer. The number of mers in a chain is the degree of polymerization n. The molar mass of a chain is simply n times the mass of a mer:
Two ways to build a chain
In addition polymerization a radical (a particle with an unpaired electron, here R•) attacks the C=C double bond, opens it and passes its activity to the new end of the chain. Less initiator means fewer growing chains, and so longer chains. In polycondensation the functional groups of two different monomers join, and each bond releases a molecule of water. Long chains only form at the very end — this is described by the Carothers equation:
At p = 0.9 (90% of groups) a molecule has on average only 10 units; to get 100, 99% of the groups must react.
The coil and entropy
A chain in a melt or solution takes the shape of a random coil — like the path of a random walk. The average distance between its ends grows as the square root of the number of links:
A stretched chain has very few possible shapes, a coiled one — an enormous number. That's why rubber springs back, and why its force grows with temperature: this is entropic elasticity.
Structure and properties
Linear chains pack tightly and form crystallites (PE-HD: stiff, milky). Branched ones pack worse (PE-LD: soft, flexible). Thermoplastics soften and melt when heated, so they can be remelted. Elastomers (rubber) have a loose network of cross-links — sulfur bridges from vulcanization. Thermosets (Bakelite, epoxy resins) have a dense network: when heated they don't melt, they char. Below the glass transition temperature Tg chain segments cannot move, and the plastic is hard and brittle.
Sorting and recycling
An object floats when its density is lower than the liquid's: ρplastic < ρliquid. This is how polyolefins (PP, PE) are separated from the heavier PS, PET and PVC. PET and PVC have almost the same density, so they are separated by sensors (NIR, or X-rays that detect chlorine).
Simplifications: the simulations are two-dimensional, and the chains are shorter than in reality. The tensile curves, plastic breakdown rates and recycling yields are models with rough figures.