Degree of polymerization

The degree of polymerization, or DP, is the number of <a href="/facts/Structural_unit/XGlAYDb0">monomeric units</a> in a <a href="/facts/Macromolecule/039ULSLg">macromolecule</a> or <a href="/facts/Polymer/eF32E50K">polymer</a> or <a href="/facts/Oligomer/v7oDY8zu">oligomer</a> molecule.
For a homopolymer, there is only one type of monomeric unit and the number-average degree of polymerization is given by 
 
 
 
 
 
 
 
 D
 P
 
 ¯
 
 
 
 n
 
 
 ≡
 
 
 
 X
 ¯
 
 
 
 n
 
 
 =
 
 
 
 
 
 M
 ¯
 
 
 
 n
 
 
 
 M
 
 0
 
 
 
 
 
 
 {\displaystyle {\overline {DP}}_{n}\equiv {\overline {X}}_{n}={\frac {{\overline {M}}_{n}}{M_{0}}}}
 
,
where 
 
 
 
 
 
 
 M
 ¯
 
 
 
 n
 
 
 
 
 {\displaystyle {\overline {M}}_{n}}
 
 is the <a href="/facts/Molar_mass_distribution/Bh3Fsd4r">number-average molecular weight</a> and 
 
 
 
 
 M
 
 0
 
 
 
 
 {\displaystyle M_{0}}
 
 is the molecular weight of the monomer unit. The <a href="/facts/Overline/PH46XuIu">overlines</a> indicate <a href="/facts/Arithmetic_mean/L3Pv333o">arithmetic mean</a> values. For most industrial purposes, degrees of polymerization in the thousands or tens of thousands are desired. This number does not reflect the variation in molecule size of the polymer that typically occurs, it only represents the mean number of monomeric units.
Some authors, however, define DP as the number of <a href="/facts/Repeat_unit/WIxA68X4">repeat units</a>, where for <a href="/facts/Copolymer/35D97DuV">copolymers</a> the repeat unit may not be identical to the monomeric unit. For example, in <a href="/facts/Nylon-6%2c6/tPvwq7aw">nylon-6,6</a>, the repeat unit contains the two monomeric units —NH(CH2)6NH— and —OC(CH2)4CO—, so that a chain of 1000 monomeric units corresponds to 500 repeat units. The degree of polymerization or chain length is then 1000 by the first (IUPAC) definition, but 500 by the second.

Degree of polymerization open-in-new

Degree of polymerization