Degree of polymerization

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The degree of polymerization, or DP, is the number of repeat units in an average polymer chain at time t in a polymerization reaction [1]. The length is in monomer units. The degree of polymerization is a measure of molecular weight. For most industrial purposes, lengths in the thousands or tens of thousands are desired.

For a homopolymer, the degree of polymerization may be calculated as follows:

DP = Total MW of the polymer/MW of the repeating unit

Mn = XnMo

In polycondensation, in order to achieve a high degree of polymerization (and hence molecular weight), Xn, a high fractional monomer conversion, p, is required, as per Carother's equation: Xn = 1/(1−p). A monomer conversion of p = 99% would be required to achieve Xn = 100.

[edit] Correlation with physical properties

Relationship between degree of polymerization and melting temperature for polyethylene.  Data from Flory (1963).
Relationship between degree of polymerization and melting temperature for polyethylene. Data from Flory (1963).

Polymers with identical composition but different total molecular weights may exhibit different physical properties. In general, increasing degree of polymerization correlates with higher melting temperature [2] and higher mechanical strength.



[edit] References

  1. ^ Gold Book definition Link
  2. ^ Flory, P.J. and Vrij, A. J. Am. Chem. Soc.; 1963; 85(22) pp3548-3553
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