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Molecular Weight of Polymers                                                  61



                       TABLE 3.2
                       Approximate Solubility Parameter Values for Polymers
                       Polymer             Poorly H-Bonding  Moderately H-Bonding  Strongly H-Bonding
                       Polytetrafl uoroethylene  5.8–6.4
                       Poly(vinyl ethyl ether)  7.0–11.0        7.4–10.8          9.5–14.0
                       Poly(butyl acrylate)    7.0–12.5         7.4–11.5
                       Poly(butyl methacrylate)  7.4–11.0       7.4–10.0          9.5–11.2
                       Polyisobutylene         7.5–8.0
                       Polyethylene            7.7–8.2
                       Poly(vinyl butyl ether)  7.8–10.6        7.5–10.0          9.5–11.2
                       Natural rubber          8.1–8.5
                       Polystyrene             8.5–10.6         9.1–9.4
                       Poly(vinyl acetate)     8.5–9.5
                       Poly(vinyl chloride)    8.5–11.0         7.8–10.5
                       Buna N                  8.7–9.3
                       Poly(methyl methacrylate)  8.9–12.7      8.5–13.3
                       Poly(ethylene oxide)    8.9–12.7         8.5–14.5          9.5–14.5
                       Poly(ethylene sulfi de)  9.0–10.0
                       Polycarbonate           9.5–10.6         9.5–10.0
                       Poly(ethylene terephthate)  9.5–10.8     9.3–9.9
                       Polyurethane            9.8–10.3
                       Polymethacrylonitrile                    10.6–11.0
                       Cellulose acetate      11.1–12.5         10.0–14.5
                       Nitrocellulose         11.1–12.5         8.0–14.5         12.5–14.5
                       Polyacrylonitrile                        12.0–14.0
                       Poly(vinyl alcohol)                                       12.0–13.0
                       Nylon-6,6                                                 13.5–15.0
                       Cellulose                                                 14.5–16.5


                 parameter differences between the plasticizer and polymer should be less than 1.8 H for there to be
                 compatibility between the plasticizer and polymer.
                    Because the heat of vaporization of a polymer is not readily obtained, small determined values
                 for various components of a polymer chain that can be employed to calculate the solubility param-
                 eter. These values are called molar attraction constants and are additive and have been used for
                 estimation of the solubility parameter for nonpolar polymers. In this approach δ = DΣG/M, where
                 D is the density, G is the small molar attraction constants, and M is the molecular weight of the
                 particular repeat unit. As expected, the more polar units have greater G values while the less polar
                 units have smaller G values.


                 3.3   AVERAGE MOLECULAR WEIGHT VALUES
                 Small molecules, such as benzene and glucose, have precise structures such that each molecule
                 of benzene has six carbon atoms and six hydrogen atoms. By comparison, each molecule of poly-
                 1,4-phenylene may have a differing number of phenylene-derived units, while single molecules
                 (single chains) of polyethylene may vary in the number of ethylene units, the extent and frequency
                 of branching, the distribution of branching, and the length of branching. A few polymers, such as
                 nucleic acids and many proteins, consist of molecules, individual polymer chains that must not vary,
                 so they have a precise molecular weight.
                    While there are several statistically described averages, we will concentrate on the two that
                 are most germane to polymers—number-average and weight-average. These are averages based







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