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Introduction to Nanotechnology

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298 ORGANIC COMPOUNDS AND POLYMERS<br />

Figure 11.15. Molecular square formed by the self-assembly process of Fig. 11.14 showing<br />

bond angles, bond lengths, and intera<strong>to</strong>mic distances expressed in angstrom (A) units<br />

(10A=1 nm), obtained from a single-crystal X-ray diffraction study. The symbol Et denotes an<br />

ethyl group -C2H5 and Ph, a phenyl group -C6H5. The overall charge of the structure +4<br />

is balanced by four -OS02CF3 counterions. [From Stang and Olenyuk (2000), p. 181 .]<br />

called dendrimers or cascade molecules, which form by this type of cascade process.<br />

See Archut and Vogtle (2000) for more details.<br />

The first dendrimer preparation scheme, outlined in Fig. 1 1.17, started with three<br />

different diamine compounds: diamine itself (H2N-NH2), m-phenylenediamine,<br />

and 2,6-diaminopyridine. Initially the starting compound, H2N-X-NH2, was<br />

reacted with vinylcyanide (H2C=CH-CN) <strong>to</strong> replace the hydrogens of the<br />

amino groups @H2) with cyano groups CN, and form the double cyanide<br />

derivative (CN)2N-X-N(CN)2. This derivative compound was then reacted with<br />

sodium borohydride (NaBH4) using a Co2+ catalyst <strong>to</strong> form the second-generation<br />

compound (H2N)2N-X-N@H2)2 of the dendrimer iteration sequence.<br />

Figure 1 1.17 outlines the iteration sequence leading up <strong>to</strong> the formation of the<br />

third-generation compound [(H2N)2N]2N-X-N[N(”2)2]2 of the sequence (not<br />

shown in the figure). The notation is <strong>to</strong> call the compound obtained by two iterations<br />

the third-generation compound. The chemical structures for X in the m-phenylene<br />

and the 2,6-pyridine varieties of these diamine starting compounds H2N-X-NH2<br />

are shown in the lower left of Fig. 1 1.17.<br />

Figure 1 1.18 provides another example of a polyaminoamine dendrimer<br />

(PAMAM). To estimate the size of a dendrimer such as this, we can use the<br />

crystallographic data of Wyckoff (1966) for the three normal (i.e., unbranched)<br />

aliphatic compounds CnH2n+2 with n = 8,18,36. The average transverse unit-cell

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