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Neutron Scattering

Neutron Scattering - JuSER - Forschungszentrum Jülich

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For the intramolecular and intermolecular terms of interference one has PDD = PHH and<br />

WT = WDD = WAH = W,, .<br />

the total chain is given as<br />

Because of z ZPT = 2 (z / 2)Z PDD + 2 (z / 2)Z PDH the form factor of<br />

2PT = PDD +PDH (14 .37)<br />

which wich nWT =-PT (Babinet principal) fmally leads to thé partial structure factor<br />

z<br />

[PDD - PT1<br />

(14 .38)<br />

and thé scattering cross section<br />

dl(Q)=K 4<br />

[PDD (Q)- PT (Q)1' (14 .39)<br />

described as thé différence of thé intramolecular form factor of a single block ( PDD ; PDH )<br />

and<br />

thé total chain (PT ).<br />

These form factors of a symmetrical diblock copolymer are plotted in<br />

Figure14 .7. An interférence peak is observed whose position is according to Q * -R g =1 .9<br />

related to thé radius of gyration and Q* therefore has to be observed at 1 .9 . 10 -Z A - ' . The<br />

observation of an interférence peak in diblock copolymers becomes plausible from thé<br />

consideration, that composition fluctuations of thé blocks A and B can only occur on thé<br />

length scale of thé polymer . As an experimental example we show thé structure factor of a<br />

melt .<br />

0 .8<br />

0 .4<br />

Diblockcopolymer<br />

0 .20<br />

0 .15<br />

-0 .4<br />

xg100A<br />

[/ 1<br />

-0 .8<br />

â 0 .10<br />

â<br />

0 .00<br />

0 .00 0 .02 0 .04 0.06 0.08 0 .10 0.00 0 .02 0 .04 0 .06 0.08 0.10<br />

Q[A<br />

0 .05<br />

Q[,A- ']<br />

Figure 14.7 : Form factor ofa symmetrical diblock copolymer<br />

1443

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