How Evaporating Carbon Nanotubes
Retain Their Perfection?
Feng Ding, Kun Jiao, Yu Lin, and Boris I. Yakobson*
Department of Mechanical Engineering and Materials Science and Department of
Chemistry, Rice UniVersity, Houston, Texas 77005
Received November 24, 2006; Revised Manuscript Received January 27, 2007
ABSTRACT
We present a mechanism of high-temperature sublimation of carbon nanotubes that does not destroy their ordered makeup even upon significant
loss of mass. The atoms depart to the gas phase from the pentagon-heptagon dislocation cores, while the bond disruption is immediately
repaired, and the 5|7 seamlessly propagate through the lattice. This explains a broad class of unsettled phenomena when at high temperature
or under radiation the nanotubes do not become amorphous but rather shrink in size nearly flawlessly.
Carbon nanotubes owe their amazing and important proper-
ties (electronic, optical, or mechanical) to the unique
structure, a honeycomb net seamlessly wrapped into a
cylinder. Essentially it renders them crystals with no facets
or surface, where each atom has exactly the same environ-
ment.
1
How carbon atoms assemble into such tubules through
catalytic growth turned out to be a daunting problem for
theory. Here we discuss a process opposite to growth, a
decomposition of nanotube into carbon atoms as it occurs at
high near-sublimation temperature
2-4
or under electron
radiation.
5-7
As the analysis below demonstrates, such
seemingly random loss of atoms can proceed in a rather
organized fashion with the peculiar self-repair mechanism.
It shows that sublimation is inherently coupled with the
dislocation dynamics in two-dimensional (2D) crystals:
ejection of atoms can create edge dislocation dipoles, and it
governs the dislocation climb-glide movements, while the
dislocation cores serve as scavengers for possibly emerging
point defects. This way, a membrane crystal can lose
substantial fraction of its mass while maintaining almost
perfect structure: it simply shrinks down in scale without
much disorder or amorphization. This also well explains the
recent remarkable observation of superplastic nanotubes,
4
where their great elongation in spite of multifold mass
reduction must proceed through the sublimation-plasticity
relaxation process described below.
Although the discussion can broadly apply to 2D crystals
and tubes (single graphene layer,
8
cylindrical micelles,
9
micro-
tubules
10
), carbon nanotubes alone offer an abundant record
of experimental study. For example, almost 4-fold reduction
of diameter (1.4-0.4 nm) under an electron beam did not
disrupt the tubular structure,
5
or a thin single-wall neck
formed from multiwall tube irradiated at 600 °C.
6,7
Similarly,
irradiation was able to transform a carbon cluster into a well-
structured carbon onion.
11,12
Most striking is the recent
observation of perfectly preserved structure (besides the few
mobile kinks) in the course of plastic stretching of a tube,
although most of its body (80% mass loss) expired into gas.
4
This accumulating evidence poses a compelling question of
how a graphitic layer can avoid defect buildup and especially
larger holes while losing a great fraction of its atoms.
High temperature of the atomic lattice brings significant
thermal agitation (often enhanced by an electron beam of
the microscope). Carbon atoms can more frequently exchange
their positions, e.g., via Stone-Wales (SW) bond rotations,
1
by forming Schottky vacancies, interstitial-vacancy pairs,
etc. Furthermore, some of the atoms are increasingly likely
to entirely abandon the lattice for the benefit of a more
entropic gas state, the essence of sublimation, which results
in total mass reduction. Intuitively, the exodus of atoms from
the lattice should randomly create a growing number of
vacancies, inducing disorder and perhaps amorphization, or
aggregating in holes (Figure 1a-c). This notion contrasts
with the very clean cylindrical shape preserved in experi-
ments in spite of the big reduction in size.
3-5
How can the
vast loss in mass be reconciled with the smooth morphing
of an ever-sealed tubule (Figure 1a f d) from its initial to
final geometry? Natural propensity of covalent bonds to
restore connectivity, to self-heal in a network is important
but not sufficient, as a trial simulation illustrates: in the
course of random removal of atoms, many dangling bonds
do pair nicely, but the degree of disorder and size of holes
progressively increase (Figure 1e-g). Apparently, nature has
a more clever mechanism preserving a nearly perfect 2D
lattice in spite of its evaporation.
To understand it, consider more thoroughly possible C
breakout from different locations of a tube containing generic * Corresponding author. E-mail: biy@rice.edu.
NANO
LETTERS
2007
Vol. 7, No. 3
681-684
10.1021/nl0627543 CCC: $37.00 © 2007 American Chemical Society
Published on Web 02/16/2007