TY - JOUR
T1 - Step-growth polymerizing systems of general type “AfiBgi”
T2 - calculating the radius of gyration and the g-curve using generating functions and recurrences
AU - Hillegers, L.T.M.E.
AU - Slot, J.J.M.
PY - 2017/5/1
Y1 - 2017/5/1
N2 - Step-growth polymerized systems of general type “AfiBgi” are considered. One or more of the monomer species carries at least three reactive groups and thus can act as a branching point in a polymeric molecule. An algorithmic method is presented to calculate the topology-averaged square radius of gyration, R 2[s], of the molecules in the class of s-mers. The degree of polymerization, s, may run through its full range. In addition to R 2[s], the shrinking factor, g[s], is calculated. The method uses integer arithmetic, generating functions, and computer algebra. (Figure presented.).
AB - Step-growth polymerized systems of general type “AfiBgi” are considered. One or more of the monomer species carries at least three reactive groups and thus can act as a branching point in a polymeric molecule. An algorithmic method is presented to calculate the topology-averaged square radius of gyration, R 2[s], of the molecules in the class of s-mers. The degree of polymerization, s, may run through its full range. In addition to R 2[s], the shrinking factor, g[s], is calculated. The method uses integer arithmetic, generating functions, and computer algebra. (Figure presented.).
KW - branched polymers
KW - Kuhn's length
KW - shrinking factor
UR - http://www.scopus.com/inward/record.url?scp=85017477421&partnerID=8YFLogxK
U2 - 10.1002/mats.201600093
DO - 10.1002/mats.201600093
M3 - Article
AN - SCOPUS:85017477421
SN - 1022-1344
VL - 26
JO - Macromolecular Theory and Simulations
JF - Macromolecular Theory and Simulations
IS - 3
M1 - 1600093
ER -