Postgel properties in the statistical crosslinking of heterochains. I. Systems withN types of chains

Postgel properties in the statistical crosslinking of heterochains. II. Free-radical crosslinking copolymerization

“…The fundamental equation for (, ) can be found elsewhere. 4,5,10,12,21 The condition C1 corresponds to Flory's simplifying assumptions 13 …”

“…Only 2 ϫ 10 3 polymer molecules were used in ref. 10; therefore, the precision has been improved significantly. The simulated results agree perfectly with the proposed method, so the extrapolated values can be considered the true values.…”

“…The symbols show the Monte Carlo simulation results. 10 Randomly sampled 2 ϫ 10 4 polymer molecules are used to obtain the W gel values in the Monte Carlo simulation. Only 2 ϫ 10 3 polymer molecules were used in ref.…”

Simultaneous long‐chain branching and random scission. II. Analytic expression for the weight‐average molecular weights

“…14 As shown in the first part, 1 the formed branched structure is history dependent, and the history of each segment formed at a given time must be properly accounted for. If one considers the segments formed at different conversion levels as different types of chains, the heterochain branching/crosslinking theory [15][16][17][18] could be applied to obtain the weight-average molecular weights. In this theory, the expected molecular constitution formed by connecting N types of chains with a given chain connection rule is considered.…”

Molecular Weight Development in Free-Radical Polymerization with Polyfunctional Chain-Transfer Agents, 1. Equal Reactivity Model

“…Recently, the heterochain branching model [9 -11] that considers the expected molecular constitution formed by N types of chains with a given chain-connection rule, was proposed to obtain the weight-average molecular weights as well as the postgelation properties [12] formed in complex nonlinear polymerization systems. The heterochain branching model could be solved through various mathematical techniques, but in the present article we use the random sampling technique.…”