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Chemistry · Glossary

What is Repeat unit, degree of polymerisation?

Also known as: repeat unit · degree of polymerisation

Definition 49.2 School Chemistry — Grades 1 to 12 · Chapter 49 — Polymers

The repeat unit of a polymer is the smallest group of atoms whose repetition gives the chain; it is written between brackets with an index nn. The number nn of repeat units in a chain is its degree of polymerisation.

The polymerisation of ethene: n molecules of monomer give one chain of polyethene, whose repeat unit -CH2-CH2- is written between brackets.
The polymerisation of ethene: nn molecules of monomer give one chain of polyethene, whose repeat unit −CHX2−CHX2X−\ce{-CH2-CH2-} is written between brackets.

Examples

Example 49.4 (A polyethene chain)

A chain of polyethene of molar mass 280 000 g/mol280\,000\,\mathrm{g}/\mathrm{mol} has n=280000/28.0=10000n = 280000/28.0 = 10000 repeat units, so twenty thousand carbon atoms in a row. In a real sample the chains do not all have the same length: nn is an average.

Example 49.8 (PET, a polyester)

Ethane-1,2-diol, HO−CHX2−CHX2−OH\ce{HO-CH2-CH2-OH}, carries two alcohol groups; benzene-1,4-dicarboxylic acid, HOOC−CX6HX4−COOH\ce{HOOC-C6H4-COOH}, two acid groups. Each acid group forms an ester with an alcohol group and releases water: the chain grows from both ends. The polymer is poly(ethylene terephthalate), PET, the material of drink bottles and of polyester fibres. Its repeat unit, CX10HX8OX4\ce{C10H8O4}, has a molar mass of 192.0 g/mol192.0\,\mathrm{g}/\mathrm{mol}, that is the two monomers (62.0+166.062.0 + 166.0) minus two molecules of water (36.036.0).

Example 49.11 (Two polyethenes)

Polyethene made under very high pressure has many short branches: its chains pack badly, and it gives soft, transparent films for bags. Made with a catalyst at low pressure, its chains are nearly linear and pack into crystalline regions: it is denser and stiffer, and gives milk bottles and crates. Same monomer, same repeat unit, different architecture.

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