By Ronald C. Davidson
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Additional resources for An introduction to the physics of nonneutral plasmas
If the molecular weight is high enough that corrections due to the end-groups are negligible then for this example, half of the units are A—A and half B—B and the sample weight is just (mAA + mBB)/2 times the total moles of monomeric units present, and the approximation MN = [(mAA + m BB)/2]X N is justified. For example, in nylon 66 the monomeric weights m AA, mBB are calculated as, O OH H I II I I -C-(CH 2 -) 4 -C-N-(CH 2 ) 6 -N». , H 2 O is lost in polymerization. In order to avoid confusion it is important to point out that in step polymers of type A—A, B—B the monomeric units are not identical with the repeat unit.
Networks are usually random but there are examples of regular ones, graphitic planes being illustrative. 2) are often depicted in structural formulae as regular. Gelation is sometimes an undesirable phenomenon resulting from small amounts of multifunctional impurities or transfer reaction that give rise to heterogeneities from the gel fraction in a product that is desired to be homogeneous or perhaps completely soluble. Other times, the formation of the network is the desired result of the chosen monomers.
2). 00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 DP, n Fig. 7 Fractional number of moles of polymer chains of various lengths versus DP for the 'most probable' distribution occurring in step polymerization. Number-average DP is 5. 12). 10) has been called by Flory (1953) the 'most probable' distribution. Under certain conditions it can also occur in chain polymerization (Chapter 4). 10). 14) This is a monotonically decreasing function of increasing n. The most likely value of n is n = 1, with the number of molecules of DP = n decreasing as n increases.
An introduction to the physics of nonneutral plasmas by Ronald C. Davidson