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For other uses, see Gel point (disambiguation).

The Gel point in polymer chemistry is the point at which an infinite polymer network first appears. Assuming that it is possible to measure the extent of reaction, p, defined as the fraction of monomers that appear in cross-links, the gel point can be determined.^[1] The critical extent of reaction for the gel point to be formed is given by:

$p_c = \frac{1}{N-1} \approx \frac{1}{N}$

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:^[2]7. Pinner, S. H., Functionality of non-equivalent mixtures. Journal of polymer science 1956, XXI, (97), 153-157.

$p_c = \frac{1}{(r+rp(f-2))^{0.5}}$

[edit] References

^ Paul, Hiemenz C., and Lodge P. Timothy. Polymer Chemistry. Second ed. Boca Raton: CRC P, 2007. 381-389
^ Pinner, S.H.. "Functionality of non-equivalent mixtures". Journal of polymer science XXI (97): 153-157. doi:10.1002/pol.1956.120219718.

[edit] See also

[0] Paul, Hiemenz C., and Lodge P. Timothy. Polymer Chemistry. Second ed. Boca Raton: CRC P, 2007. 381-389

[1] Pinner, S.H.. "Functionality of non-equivalent mixtures". Journal of polymer science XXI (97): 153-157. doi:10.1002/pol.1956.120219718.

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