Objectives
After completing this section, you should be able to
- write an equation to represent the formation of nylon 66 from adipic acid and hexamethylenediamine.
- write an equation to represent the formation of nylon 6 from caprolactam.
- predict the structure of the step‑growth polymer formed from the reaction of two given monomers.
- identify the monomers needed to prepare a step‑growth polymer of a given structure.
- write an equation to describe the formation of a polyester, such as poly(ethylene terephthalate), from a given diol and diester.
- write an equation to describe the formation of a polycarbonate from a carbonate and a bisphenol.
Key Terms
Make certain that you can define, and use in context, the key terms below.
- chain‑growth polymer
- polyamide
- polyester
- step‑growth polymer
Study Notes
You may wish to review chain‑growth polymerization in Section 8.10 and Section 14.6. In this section we discuss another important class of polymerization kknow as step‑growth polymerization.
As you can see from the equation given in the discussion on forming condensation polymers, Dacron is formed from two monomers, one of which possesses two carboxylate groups and the other two hydroxyl groups.
It is also possible to form a polyester using two monomers that each possesse one carboxyl group and one hydroxyl group. An example is the polymer formed between lactic acid and glycolic acid. This polymer has been used to produce absorbable staples that provide surgeons with a convenient method of closing incisions made during operations on the bladder or intestines, or during hysterectomies. Two advantages of this polyester in such applications are, first, that it begins to hydrolyze in the body after six to eight weeks, and then, that the products of the hydrolysis are both compounds normally present in the body.
![lactic and glycolic acid monomers react to form polyester](https://chem.libretexts.org/@api/deki/files/106379/21-9.png?revision=1)
Step-Growth Polymerizations
Step-growth and chain-growth are two broad classes of polymerization methods. Sections 8.11 and 14.7 discussed how chain-growth polymers usually start with a single alkene containing monomer, which is unreactive until an initiator is added. The initiator converts one monomer molecule into a reactive intermediate (radical, cation, anion) which is capable of reacting with another monomer forming a C-C bond and creating a new reactive intermediate. This reactive intermediate reacts with another monomer and the process is repeated as a chain reaction to form a polymer.
![clipboard_e7c5f66480e1f5367b9b4db62ea87ac1c.png](https://chem.libretexts.org/@api/deki/files/351143/clipboard_e7c5f66480e1f5367b9b4db62ea87ac1c.png?revision=1)
![clipboard_e00fb7ce560c3e7175edf37ecb0a148f6.png](https://chem.libretexts.org/@api/deki/files/351142/clipboard_e00fb7ce560c3e7175edf37ecb0a148f6.png?revision=1)
The process of step-growth polymerizations are fundamentally different than in chain-growth. In step-growth polymerizations, monomers are generally linked by a carbon-heteroatom bond (C-O & C-N) formed in non-sequential steps. Often, the reactions used to link these monomers include multiple nucleophilic acyl substitutions. Step-growth polymerizations usually use two different monomers, neither of which would undergo polymerization on its own. The two monomers are multifuntional and complementary to each other, such that each provides the other with a reactive partner. In this section, we will be focusing on monomers which are difunctional, meaning they contain two of the same reactive functional group. A step-growth polymerization starts with two complementary functional groups on different monomers reacting to form a dimer. Because both monomers were difunctional, each retains a reactive group and can react with additional complementary monomers.
![clipboard_e9a542ede73c7cfadc83d7d2973b5966a.png](https://chem.libretexts.org/@api/deki/files/351144/clipboard_e9a542ede73c7cfadc83d7d2973b5966a.png?revision=1)
In fact the difuctionality of the monomers, allows step-growth polymers to grow in two directions at once. First, two complementary monomers react with each other to form a dimer. Assuming that monomers react at roughly similar rates, when one end of the dimer reacts again it will likely find another dimer and form a tetramer. Then when the tetramer goes to react again it will most likely find another tetramer and form an octamer. This process is repeated allowing the polymer to grow in two directions at the same time.
![clipboard_e364887be2e6c245d255cd7a5d522c4ac.png](https://chem.libretexts.org/@api/deki/files/351146/clipboard_e364887be2e6c245d255cd7a5d522c4ac.png?revision=1)
Virtually all fibers are made from some form of polymer. In particular, silk and wool are composed of a naturally occurring protein polymer. The monomers of proteins are called amino acid residues. These residues are connected by amide linkages which are also called peptide bonds. Many of the early efforts of polymer chemistry were to artificially create fibers which mimicked the properties of silk and wool.
![clipboard_e1ee94149bf6e811f462a4432d6a81093.png](https://chem.libretexts.org/@api/deki/files/351155/clipboard_e1ee94149bf6e811f462a4432d6a81093.png?revision=1&size=bestfit&width=781&height=187)
Polyamides
The first fully synthetic polymer fiber, nylon-6,6, was produced in 1938 by the company DuPont. The lead chemist of DuPont's work was Wallace H. Carothers, who reasoned that the properties of silk could be mimicked by constructing a polymer chain created with repeating amide bonds, just like the proteins in silk. Nylon-6,6 was created by first reacting 1,6-hexanedioic acid (adipic acid) and 1,6-hexanediamine to give a salt which was then heated creating multiple amide bonds through nucleophilic acyl substitution. The product of this particular reaction is a polyamide called nylon-6,6. The numbers of the name indicate how many carbons are contained in each monomer. The first “6” stands for the number of carbons in the diamine monomer while the second number indicated the number of carbons in the dicarboxylic acid. Simply by varying the number of carbons in each monomer, a wide variety of nylon polymers can be made.
Nylons are among the most widely used synthetic fibers—for example, they are used in ropes, sails, carpets, clothing, tires, brushes, and parachutes. Known for their high strength and abrasion resistance, nylons can be molded into blocks for use in electrical equipment, gears, bearings, and valves. The strength of nylon fibers comes, in part, from their ability to form strong hydrogen bonding intermolecular forces with each other in much the same fashion as proteins.
![clipboard_e536219305ee8ec74c14ed216595c8b80.png](https://chem.libretexts.org/@api/deki/files/351171/clipboard_e536219305ee8ec74c14ed216595c8b80.png?revision=1&size=bestfit&width=915&height=331)
Polyesters
Esterfication, via nucleophilic acyl substitutions, can also be used to form the primary linkages in step-growth polymers. A polyester is typically produced when a dicarboxylic acid and a diol are reacted together. After the initial reaction, the ester product contains a free (unreacted) carboxyl group at one end and a free alcohol group at the other. Further esterification using a step-growth polymerization, produces a polyester. The most important polyester, polyethylene terephthalate (PET), is made from the reaction of 1,4-benzenedicarboxylic (terephthalic acid) and 1,2-ethanediol (ethylene glycol) monomers.
![clipboard_eb9ed57670649c9b79be1b0d793bb0fec.png](https://chem.libretexts.org/@api/deki/files/351175/clipboard_eb9ed57670649c9b79be1b0d793bb0fec.png?revision=1)
Polyester molecules make excellent fibers and are used in many fabrics. A knitted polyester tube, which is biologically inert, can be used in surgery to repair or replace diseased sections of blood vessels. PET is used to make bottles for soda and other beverages. It is also formed into films called Mylar. When magnetically coated, Mylar tape is used in audio- and videocassettes.
Polycarbonates
Beyond carboxylic acid derivatives, virtually any reaction which involves reactive species on two different molecules can be used to perform a step-growth polymerization. A variation involves using a monomer containing a carbonate functional group. A carbonate acts like a double ester and can undergo a type of double transesterification reaction with two alcohols to form a new carbonate containing compound.
![](data:image/png;base64,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)
In effect, a carbonate is difunctional and can be reacted with a diol to form polymers containing repeated carbonate groups in their structure called polycarbonates. An example of a polycarbonate is the polymer, Lexan, which is created when diphenyl carbonate and bisphenol A (a diol) are reacted together.
![21.9 lexan.svg](https://chem.libretexts.org/@api/deki/files/367495/21.9_lexan.svg?revision=1&size=bestfit&width=699&height=98)
Polycarbonates used in engineering are strong, tough materials, and some grades are optically transparent. They are easily worked, molded, and thermoformed. Because of these properties, polycarbonates find many applications. One major application of polycarbonates is the production of compact discs, DVDs, and Blu-ray discs.
Bisphenol (BPA), primarily used to make polycarbonate, is one of the highest-volume chemicals produced in the world, with over six billion pounds made each year. Because polycarbonate is used to make plastic bottles, the lining for food cans, and the lining for beverage cans there has been much concern about trace amounts of BPA leaching from the containers and being ingested. A study conducted in 2003 and 2004 by the Center for Disease Control and Prevention found trace amounts BPA in the tissues of 93% of people in the United States. Consequently, this has led to many beverage companies switching to non-polycarbonate polymers.
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)
Example \(\PageIndex{1}\)
Provide the structure of the polyamide made from the monomers as indicated. Please use bracketed notation.
![](data:image/png;base64,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)
Solution
When drawing the polymer product of a step-growth polymerization, it is important to first identify the reaction which forms the repetitive linkage between monomers. In this case, the reaction is anucleophilic acyl substitution btween a carboxylic acid and an amine to form an amide. In total, the bracket structure of a polymer shows two versions of the linkage formation. The first is clearly shows connecting the monomers to form the dimer making up the repeating unit in the polymer. The second version involves bonds going out of the bracket and represents how the linkage repeats throughout the polymer.
1) The connect two monomers to make a dimer using the indicated reaction.
![](data:image/png;base64,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)
2) Beak the same bonds as before ecepptt the bonds for the final connection will be shown going away from the dimer.
![](data:image/png;base64,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)
3) Place brackets around the dimer and put an italicized lower case "n" in the lower right.
![](data:image/png;base64,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)
Exercises
1) Provide structures of the polyesters made from the monomers as indicated.
![clipboard_e506babb810bccaed798baf56f19b1847.png](https://chem.libretexts.org/@api/deki/files/351187/clipboard_e506babb810bccaed798baf56f19b1847.png?revision=1)
2) Identify the monomers that would be used to produce these polymers.
![clipboard_e7ae89203302c825ac2163f2670e6ea16.png](https://chem.libretexts.org/@api/deki/files/351189/clipboard_e7ae89203302c825ac2163f2670e6ea16.png?revision=1)
Solutions
1)
![clipboard_e8a3b28b722acac90b87eacbb33982ea3.png](https://chem.libretexts.org/@api/deki/files/351188/clipboard_e8a3b28b722acac90b87eacbb33982ea3.png?revision=1)
2)
![clipboard_efd468342e0c34a327c7001e32e7dd41a.png](https://chem.libretexts.org/@api/deki/files/351190/clipboard_efd468342e0c34a327c7001e32e7dd41a.png?revision=1)