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Macromolecules, Vol. 43, No. 20, 2010 8387
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!
pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
4KMtot þ 1 - 8KMtot þ 1
δ ¼ δ0 þ ðδ¥ - δ0Þ
4KMtot
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(56) The deconvolution was performed as following: A local mean filter
was applied, calculating the average height of an area of 212 nm2
around each pixel, resulting in an averaged topography image. This
image, in which only raw features are visible, is subtracted from the
original topography data, yielding the enhanced visibility of the
small features in the <20 nm size regime. The deconvolution was
done with the SPIP software package, ImageMetrology.
(57) As mentioned before, even after this storage time, no precipitation
of the tubes from the solution could be observed, as it should
happen if the network shown in Figure 6d would already exist in
solution.
(58) Lateral dimensions (i.e., widths) of individual objects are typically
overestimated by AFM due to a limited tip radius and an interac-
tion range being typically larger than the measured dimensions.
However, the width of particles within a periodic lattice is measured
correctly via the lattice distance. For further details see, e.g.:
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´
(59) In particular, as soft tapping conditions (i.e., small free amplitude
and small damping) are chosen, the determined heights represent a
good approximation for the tube diameter. Noteworthy, the force
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ꢀ
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(60) For self-assembled monolayers of phenylene-ethynylene-
€
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