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Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved.

Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved.

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S( q) can then be extracted directly from SAXS patterns of condensed nanocrystalsolids. Figure 6 shows SAXS data for the metal nanocrystal superlatticeshown in Figure 8. A very useful quantity, the pair distributionfunction g(r), can be calculated directly from S( q) [33]:gðrÞ ¼ 1 þ 1 Z2p 2 q SðqÞ 1 sinðqrÞ dqqrqg(r)4pr 2 dr is the number of molecules between r and r + dr about a centralparticle. Figure 9 shows measured values of S( q), P( q), and calculated valuesof g(r). Figure 10 shows the real-space images of an ordered and disorderedlattice and the corresponding values of g(r).As nanocrystals condense from an evaporating dispersion onto asubstrate, their self-organization depends on the size distribution, the natureFigure 10 (A) Ordered and (B) disordered superlattices with a surface coverage of0.608. (C) Pair distribution function of the ordered and (D) disordered superlattices asa function of disk radius, R.<strong>Copyright</strong> <strong>2004</strong> <strong>by</strong> <strong>Marcel</strong> <strong>Dekker</strong>, <strong>Inc</strong>. <strong>All</strong> <strong>Rights</strong> <strong>Reserved</strong>.

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