1,009 research outputs found
On piecewise isomorphism of some varieties
Two quasi-projective varieties are called piecewise isomorphic if they can be
stratified into pairwise isomorphic strata. We show that the m-th symmetric
power of the complex affine space is piecewise isomorphic to
and the m-th symmetric power of the infinite
dimensional complex projective space is piecewise isomorphic to the infinite
dimensional Grassmannian
Diameter selective characterization of single-wall carbon nanotubes
A novel method is presented which allows the characterization of diameter
selective phenomena in SWCNTs. It is based on the transformation of fullerene
peapod materials into double-wall carbon nanotubes and studying the diameter
distribution of the latter. The method is demonstrated for the diameter
selective healing of nanotube defects and yield from C peapod samples.
Openings on small diameter nanotubes are closed first. The yield of very small
diameter inner nanotubes from C peapods is demonstrated. This challenges
the theoretical models of inner nanotube formation. An anomalous absence of
mid-diameter inner tubes is observed and explained by the suppressed amount of
C peapods due to the competition of the two almost equally stable
standing and lying C peapod configurations
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