Small-Angle Scattering. Ian W. Hamley

      Analogous equations to Eq. (1.116) have been obtained for block copolymer melts, also using the random‐phase approximation. The result for a diblock copolymer (degree of polymerization N, Flory‐Huggins interaction parameter χ and volume fraction of one component f) is [28, 66]

(1.120)

Here F(X) is a combination of Debye functions (cf. Eq. (1.107), X is defined after this equation) as follows:

      (1.121)

      and

      (1.122)

Figure 1.23 shows an example of structure factors for a diblock copolymer in a disordered melt at several χN values, calculated using Eq. (1.120). Since χ is inversely proportional to temperature, the S(q) functions become less intense and broader as temperature increases, as expected.

Figure 1.23 Structure factor for a diblock copolymer melt with f = 0.25 at three values of χN indicated [66]. The order‐disorder transition within this model occurs at χN = 17.6 at this composition.

      Source: From Leibler [66]. © 1980, American Chemical Society.

      Further information about scattering from block copolymers can be found elsewhere [28, 67, 68].

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