Thursday, July 31, 2008

Gel Point

The Gel Point is the point at which an infinite polymer network first appears. If we assume we are able to measure the extent of reaction, p, defined as the fraction of monomers that appear in cross-links, we can determine the gel point.[1] [2] The critical extent of reaction for the gel point to be formed is given by:
• pc=1/(N-1)≈1/N

For example, a polymer with N≈200 is able to reach the gel point with only 0.5% of monomers reacting. This shows the ease at which polymers are able to form infinite networks. The critical extent of reaction for gelation can be determined as a function of the properties of the monomer mixture,r, ρ, and f:
• pc = 1/(r+rp(f-2))0.5

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