Glasses are usually shaped through the viscous flow of a liquid before its solidification, as practiced in glass blowing. At or near room temperature (RT), oxide glasses are known to be brittle and fracture upon any mechanical deformation for shape change. Here, we show that with moderate exposure to a low-intensity (<1.8×10(-2) A cm(-2)) electron beam (e-beam), dramatic shape changes can be achieved for nanoscale amorphous silica, at low temperatures and strain rates >10(-4) per second. We show not only large homogeneous plastic strains in compression for nanoparticles but also superplastic elongations >200% in tension for nanowires (NWs). We also report the first quantitative comparison of the load-displacement responses without and with the e-beam, revealing dramatic difference in the flow stress (up to four times). This e-beam-assisted superplastic deformability near RT is useful for processing amorphous silica and other conventionally-brittle materials for their applications in nanotechnology.
Glasses are usually shaped through the viscous flow of a liquid before its solidification, as practiced in glass blowing. At or near room temperature (RT), oxide glasses are known to be brittle and fracture upon any mechanical deformation for shape change. Here, we show that with moderate exposure to a low-intensity (<1.8×10(-2) A cm(-2)) electron beam (e-beam), dramatic shape changes can be achieved for nanoscale amorphous silica, at low temperatures and strain rates >10(-4) per second. We show not only large homogeneous plastic strains in compression for nanoparticles but also superplastic elongations >200% in tension for nanowires (NWs). We also report the first quantitative comparison of the load-displacement responses without and with the e-beam, revealing dramatic difference in the flow stress (up to four times). This e-beam-assisted superplastic deformability near RT is useful for processing amorphous silica and other conventionally-brittle materials for their applications in nanotechnology.
As structural and functional members, glassy oxides are widely used in today's electronic and
optical devices, and microelectromechanical or nanoelectromechanical systems, fabricated in
the forms of thin films, fibers, wires, pillars, particles and cantilever beams12. Owing to the difficulties in their synthesis and assembly, the as-prepared
objects may not have the desired shape. Therefore, one may want to plastically deform them
locally to alter their dimensions and configuration. However, such glasses are characterized
by covalent and ionic bonding, and hence brittle materials. The silicon dioxide glass (and
amorphous silica) is typical of such materials34 that do not exhibit
ductility at room temperature (RT) to allow plastic deformation after their fabrication into
structures/devices. This is because the silica glass has a glass-transition temperature
Tg as high as 1,373 K56, and RT is just too low a
temperature for viscous flow to contribute significantly to the accommodation of the imposed
deformation rate. Any mechanical re-shaping is thus practically impossible near RT. Hot
deformation/shaping is not a viable option either, because the substantial heating would
undoubtedly damage the surrounding components.New opportunities arise, when the brittle objects in question are on nanoscale and energetic
beams such as the e-beam in a conventional electron microscope can be used to irradiate
through them. Previously, e-beam has been exploited for the irradiation-assisted engineering
of nanoscale materials7, mostly by making use of intense beams focused onto a
spot (enormous beam current densities can be achieved, up to 300 A cm−2 with
beams from thermal electron guns and 105 A cm−2 from field
emission guns (FEGs)). Such highly localized beams can be used to tailor nanomaterials for the
patterning of ultrathin films8, the fabrication of nanodots9,
the self-organization of ensembles of nanoclusters10, the transformation of
spherical nanocolloids into other shapes, the creation of metallic nanoparticles in dielectric
matrices, the altering of the properties of nanotubes7 and the drilling,
cutting and welding of nano-objects11. However, processing with low beam
intensities without obvious rise in sample temperature, for the purpose of facilitating
plastic deformation under applied stresses, has not yet been explored, let alone
quantitatively studied.Under high stresses, a glass can plastically deform through the bond breaking and
bond-switching processes that mediate the rotation and migration of atomic clusters1213. With e-beam illumination, oxygen vacancies and ionization damage, including
dangling bonds, are constantly induced throughout the material, owing to the interaction of
the atoms with the incoming high-energy electrons. This is expected to significantly enhance
the flow mechanism (see Discussion). In other words, the e-beam
introduces additional 'flow defects' to facilitate large plastic deformation that is not
possible in bulk samples. In fact, superplastic flow can be achieved near RT; here, we show
this e-beam-assisted superplastic shaping of amorphous silica using in situ experiments
inside a transmission electron microscope (TEM).
Results
In situ compression tests
The as-fabricated amorphous silica, even when on 100 nm scale, is known to be unable to
sustain large plastic flow1415. Our in situ tests reveal a
surprisingly different behavior, with the help from high-energy electrons. Figures 1,2,3 show the typical
deformation response of amorphous silica nanoparticles in compression tests inside a JEOL
2100F TEM. Six particles have been tested, yielding reproducible results. Figure 1a displays the centered dark-field image of a silica particle with a
diameter of 510 nm before the compression test. After imaging for the positioning of the
sample and the diamond flat punch, the beam was blocked off with the condenser lens
aperture, and the silica particle was compressed with the Hysitron PicoIndenter1617 (see Methods). The particle is plastically
deformable (Fig. 1b) apparently because of the e-beam irradiation it
had experienced during the imaging. Three load-partial unload cycles were performed under
this beam-off condition; see the load-displacement traces in Fig. 2.
After ∼40 percent compression16 (defined as the compression displacement of
the particle, Z, divided by its diameter, D), the beam was brought on the
sample to image the particle (Fig. 1b), which reveals no fracture
and crystallization during the deformation. By assuming a circular cross-sectional contact
area, the contact pressure at this point (peak force 790 μN divided by the punch–particle
contact area at the measured contact diameter of 330 nm) is estimated to be 9.2 GPa. This
high stress has reached the ultimate strength of silica glass at such a size (10 GPa for a
nanowire (NW) diameter of 300 nm14), and further deformation becomes
difficult as the contact area keeps increasing and the force is already approaching the
capacity limit of the Hysitron Picoindenter. On unloading at point b in Fig. 2, the total plastic (not recoverable as in elastic deformation or
reversible phase transformation18) percent compression was 27%.
Surprisingly, the plastic flow of the glass was continuous and smooth, with no sign of
shear banding or cracking.
Figure 1
Nanocompression of amorphous silica particle inside a transmission electron
microscope (TEM).
Two consecutive compression runs were performed with the electron beam being off and
on, respectively. Panels a–c show the centered dark-field images. In
a, the particle is adhered to the diamond punch and the silicon has not moved
into the picture. In b, the particle is imaged after it has been pressed with the
beam off. Subsequently, with the beam on, the particle can be compressed into a pancake
with a moderate force, as seen in c. The scale bars are for 200 nm.
Figure 2
Load versus percent compression for the nanocompression test of amorphous silica
nanoparticle.
The points (a, b and c) correspond to the three panels in Fig. 1.
The percent compression is defined as the depth traveled by the diamond punch divided by
the diameter of the particle, D, ∼510 nm. The inset shows the programmed
loading–partial unloading procedure, which is in displacement-controlled mode with a
rate of 10 nm s−1. The episodes showing decrease in the displacement
depth Z correspond to the unloading segments. The force decreases dramatically
with beam on, indicating that the particle becomes much softer under the beam. The force
below zero was because of the adherence of the sample to the diamond punch and silicon
substrate after compression.
Figure 3
Contact pressure (stress) versus percent compression of the amorphous silica
particle.
In a, the contact pressure was monitored throughout the beam-off (black) and
beam-on (red) compression tests. The videotape records the evolution of the contact
diameter throughout the compression; see b for the beam-on test (the error bar
for the contact diameter measurement is ±4%). Assuming circular cross-section, the
contact pressure (stress) was then estimated from the contact diameter measured (see the
inset in b; the scale bar is 200 nm). For example, at the eventual peak force
(530 μN) and 65% compression, the measured contact diameter is 495 nm, as seen in Figure 1c, such that the contact pressure is 2.5 GPa.
Much easier flow was observed, with the ensuing beam-on deformation in a second set of
in situ experiments (Fig. 1c). This set is comprised of
another three loading–partial unloading cycles, and the load-percent compression curves
(red) are included in Figure 2. Although the contact area kept
increasing, the forces required to deform was at levels considerably lower than those in
the beam-off condition. The stress (contact pressure) required to keep the plastic flow
going is monitored and found to remain at a steady level of ∼2.5 GPa throughout the three
cycles (see Fig. 3 and its caption). In the end (corresponding to
Fig. 1c and point c in Fig. 2), the
spherical particle has been shaped into a pancake, with no sign of crystallization, strain
localization or cracking. This remarkable deformability is videotaped and shown in Supplementary Movie 1. Note that the 2.5 GPa
stress level is higher than the compressive strength (0.7–1.4 GPa141920) of bulk silica glass at RT. A key point is that this plastic flow is not achieved
because of high sample temperature, as will be discussed in detail in a later
sub-section.
In situ tensile tests
The deformation of the amorphous silica is in fact superplastic. As superplasticity is
defined as large uniform elongation in tension, we show this by an in situ tensile
experiment, by pulling a single NW inside the TEM. The NW was bridge tangled between two
broken parts of the supporting holy carbon film. Under e-beam, a pulling force was
generated when the carbon is being illuminated (see Methods),2122 and the low-strain-rate (∼10−4
per second) tensile deformation was captured in real time. Figure
4a–d show the rather uniform plastic flow experienced by the NW, and Fig. 4e–h are the magnified images corresponding to the respective
color-framed regions in Fig. 4a–d. The initial NW diameter was 36 nm
before tensile deformation, and decreased to an average of 20.3±0.6 nm in Fig. 4h. At that point, the deformation spreads quite uniformly in the region
marked by the two white bars in Fig. 4h. In this particular region
(∼700 nm), the reduction in the cross-sectional area is ∼68% on average and approximately
uniform; see Fig. 5 for a point-to-point evaluation along the wire
length. Assuming constant NW volume, the superplastic elongation is as large as 215%.
Figure 4
In situ transmission electron microscope (TEM) images showing the superplastic
tensile elongation of a silica nanowire (NW) under moderate e-beam illumination.
Panels a–d show the large strains, with magnified images
(e–h) corresponding to the color-framed regions. High-resolution
electron microscope (HREM) images (i–k) are given for the white-boxed
regions, showing uniform and dramatically reduced wire diameter. The insets in
(i–k) are selected area diffraction patterns for these regions,
confirming the amorphous nature of the material. The red and blue curves in l are
the EELS (electron energy loss spectroscopy) spectra taken from the regions in n
(before deformation) and m (after 20% elongation), respectively. The dimensions
of the scale bars are: (a–d), 500 nm; (e–h), 50 nm;
(i–k, m, n), 10 nm.
Figure 5
Approximately uniform nanowire diameter and cross-sectional area during the
superplastic elongation.
The silica nanowire (NW) before and after tensile elongation can be found in Fig. 4e and h, respectively. Panel a presents the NW diameters
measured every 100 nm along the wire in Fig. 4h (between the two
white bars, left bar at 0 nm and right bar at 700 nm). The average diameter of the
elongated NW is calculated to be 20.3 nm, with a standard deviation of 0.55 nm (used for
the error bar in a). The corresponding cross-section area reduction (relative to
the original area) is plotted in b, with an average value of 68.2%. Assuming that
the NW volume remains the same during the deformation, the calculated elongation in this
gauge length is 215%.
The high-resolution electron microscope (HREM) images (Fig. 4i–k),
corresponding to the white-framed regions in Fig. 4e–g, clearly show
the rather smooth surfaces, the absence of severe localization of strain, as well as the
amorphous nature of the NW without deformation/beam-induced crystallization. The amorphous
structure of the deformed silica NW is also confirmed by the corresponding selected area
diffraction patterns displayed in the insets of Fig. 4i–k. Electron
energy loss spectroscopy (EELS) analysis was also conducted: the two Si-L2,3
edge EELS spectra in Fig. 4l were taken before deformation (Fig. 4m) and after 20% deformation (Fig. 4n). Both
spectra show the Si-L2,3 ionization edge starting at about 106 eV, indicating
typical amorphous silica. Apparently, the large tensile ductility did not derive from a
crystallization process or a large composition excursion.
Discussion
We first discuss the key issue of deformation temperature under the e-beam. Significant
beam heating is not expected in the sample, for many reasons. First, the e-beam current
intensity (≤1.8×10−2 A cm−2) we used for both the in
situ compressive and tensile deformation, and even that (4 A cm−2) for
high-resolution imaging of the NW shown in Figure 4, is rather low,
several orders of magnitude lower than those used previously for beam-induced creation of
holes, cutting, welding and evaporation11, or for beam-induced nanoscale
viscous flow of silica232425. Second, we also have good thermal contact.
This was achieved for the NW as it tangles with the carbon-supporting film (the contact was
able to sustain very large tensile forces), as well as for the nanoparticle through repeated
(load–unload–reload) high-pressure pressing that smoothed out asperities and adhered the
diamond punch to the sample, during (and in fact even before) the beam-on tests. Indeed,
there is a large and intimate contact (diameter ∼330 nm, after the beam-off tests; see Fig. 1,2,3, Supplementary Movie 1) of the sample with the
compressing diamond punch and silicon substrate, under high pressure (2.5 GPa).Third, to quantitatively estimate the temperature rise inside the sample due to e-beam
irradiation, we have carried out a thermal conduction analysis, which is presented here. The
origin of the temperature rise is the energy loss of the 200 keV electrons when they travel
through the material. The average energy loss (per unit length) of an electron in the
material is Q=Qc+Qr, where Qc
is the collision stopping power (0.51 eV nm−1 in this case26),
and Qr is the radiative stopping power (1.57×10−3 eV
nm−126) due to bremsstrahlung. The e-beam energy is
transferred to the sample at an energy density rate of H=QJ/e=9×1010 W
m−3, where J is the electron current density
(1.8×10−2 A cm−2) and e is the elementary charge
(1.6×10−19
C). If the sample was completely isolated, the temperature would increase rapidly
with the irradiation time (t) following Ht/ρC, where C=703 J
kg−1K−1 is the specific heat of silica and
ρ=2.2×103 kg m−3 is the mass density.However, the sample is in intimate contact with good heat conductors that are far larger in
volume than the sample. The thermal conductivity k, is as large as 3,320 W
m−1 K−1 for diamond and 149 W m−1
K−1 for silicon, both much larger than that of silica glass, 1.4 W
m−1 K−1. Because of this and the low J used, the
large diamond probe and silicon substrate should have experienced little temperature
increase. As a result, the heat accumulated in the sample will be dissipated through the
contact interfaces with the diamond and silicon, and when this heat accumulation–dissipation
process reaches equilibrium, we havewhere V is the volume of the sample, G is the contact thermal conductance,
A is the total area of the contact interface, which can be calculated from its
diameter, and ΔT is the temperature difference at the interface between the sample
and the silicon/diamond. G may take a wide range of values depending on the details
of the interface. For example, for a solid–solid interface created by vapor deposition or
epitaxy, the contact is almost ideal and the conductance can be as high as 10∼1,000 MW
m−2K−1 (27). However, for macroscopic rough
surfaces, the micron-scale asperity may significantly reduce the “effective contact” that is
truly in touch, thus the measured conductance could be very low (for example, <0.01 MW
m−2 K−1; refs 28,29). The exact values in the latter case also depend sensitively on
the applied pressure as well as the transmitting medium caged in-between the rough surfaces.
The G in our case is between the two extremes, but it is expected to be closer to the
upper bound. This is because our interface is already at nanometer scale, and any
small-scale asperity, when under high pressure, is going to be eliminated because of plastic
fit. In fact, the load-displacement curve shows that considerable force is needed to pull
the sample and the probe apart after compression, overcoming the adhesion. Also, Fig. 3b and Supplementary Movie
1 demonstrate clearly that the contact is intimate over a rather large area. Contact
thermal conductance in several closely related cases have been quantitatively measured
before, including the nanoscale contact between a Pt-Rh probe of scanning thermal microscope
and various sample surfaces30, adhered microcantilevers on the substrate31, as well as the contact between wafer-like Al/Si solid surfaces under ∼10MPa
pressure32. They all give contact thermal conductance at least of the order
of 1 MW m−2 K−1. We thus take G=1 MW m−2
K−1 for the following estimation. Using the measured A and
V≈7×10−20 m3, equation (1) gives a ΔT as small
as 0.1 K. Therefore, the temperature of the sample at the interface is almost pinned at
RT.We then consider the temperature around the center of the sample, which could be higher
than the interface temperature because of the low thermal conductivity of amorphous silica.
At equilibrium, the temperature field inside the sample satisfiesSubstituting the H value solved above for our e-beam and the k value for
silica glass into equation (2), we have Assuming there is a hottest point in the sample interior (e.g., center of the
particle or middle of the NW), where the temperature gradient is zero, and the heat flow is
outbound towards the contact interfaces, we may use the and the sample dimension to estimate the temperature
difference in the sample. The latter is found, because of the very small H and sample
size, to be only 10−3–∼10−2 K. In other words, the entire
sample remains cold—as cold as the diamond/silicon. The temperature equilibrium established
with the surroundings is also evidenced by the little change in the level of the compressing
stress (which would otherwise decrease if the particle were isolated and became hotter and
hotter, or increase if one assumes that the thermal contact area increases on increasing
compression).The small temperature rise in our case is primarily due to the large (relative to the small
sample size) and intimate contact area under the compressing diamond/silicon and the very
low electron current density. However, if the heat dissipation is limited by isolating the
nanoparticle (for example, reducing the contact area), or a much higher current density is
used, the temperature rise could be more significant, as shown in previous experiments33. In fact, the contact area/volume ratio (A/V) in that case33 is expected to be about an order of magnitude smaller (no pressure was applied
on the spherical particle), and the beam current density (J=7.3∼17.6 A
cm−2) is more than two orders of magnitude higher than our case. According
to equation (1), it is not surprising that an ∼100 K temperature increase was observed in
their sample33. However, even such a temperature rise would be
inconsequential in our case, because the T for silica is rather
high at ∼1,373 K and flow is not expected to be obvious at temperatures well below ∼0.7
Tg.For our tensile test of NW, the sample was tangled and fixed at the crack of a colloidal
film coated with carbon (graphite), an excellent thermal conductor. The NW between the two
fixing ends has dimensions of 40 nm (diameter)×∼5 μm (length), and the beam current density
is 1.5×10−4 to 1×10−2 A cm−2 during tensile
pulling. For the temperature difference ΔT to reach 100 K at the interface of the NW
and the colloidal thin film (CTF), the actual contact area A should be smaller than 4
nm2 (equation 1). However, the real contact area is expected to be much
larger (that is, resulting in ΔT much lower than 100 K), because the NW is under
large tensile stress that pulls the NW against the film substrate. The temperature
difference inside the NW due to the equilibrium temperature gradient can be estimated using
equation (2). Using the sample length of 5 μm, the maximum temperature difference along the
NW is on the order of 0.1 K. Note that the above estimation assumed thermal equilibrium for
the heat flow out of the sample, and used the thermal conductivity of bulk silica glass.
These may not be completely correct assumptions for our experiments. For example, the
thermal conductivity of a nanosized material may be lower than its bulk value; reduction up
to two orders of magnitude was observed in crystalline silicon NWs because of surface phonon
scattering34. However, in silica glass, wherein the mean free path of
phonons is severely shortened by the amorphous structure, as shown by its low thermal
conductivity, the additional impact of surface scattering and the size-induced reduction
could be small. Even if the negligible temperature rise derived from the model may have
underestimated the real temperature in the samples, it still can be concluded that the
superplastic deformation in our experiments was observed at a temperature not significantly
higher than RT, and clearly well below 0.7 Tg.Next, we discuss the e-beam effects in promoting the dramatic plastic flow observed. We
start from the mechanism mediating plastic deformation in silica. To acquire insight into
how amorphous silicadeforms under high stresses at RT, molecular dynamic (MD) simulations
were performed (see Methods for details) for a very thin NW
(diameter ∼3.6 nm). Large ductility was observed, which is not surprising because a
significant fraction of atoms reside close to the surface, a natural imperfection with
defects, vacancies and dangling bonds. We observe that the broken/dangling bonds reform with
other neighboring atoms, accompanied by the rotation and migration of the atomic clusters
involved. The repetition and accumulation of such bond-switching events cause plastic flow
in the NW, healing incipient voids before their coalescence and giving rise to the observed
ductility. A close-up view highlighting the Si-O bonds in action is given in Fig. 6a–c. We see that the broken bond creates a dangling silicon bond and a
non-bridging oxygen atom. The non-bridging oxygen bonds with a different silicon, and at the
same time the latter silicon severs bonding with another oxygen. The SiO4 unit
clusters are rotated and relocated as a result. Note that the same bond-switching mechanism
has been proposed to explain the flow in viscous silica at high temperatures5
and the voids coalescence under hydrostatic tension12.
Figure 6
A representative bond-switching event revealed by molecular dynamic (MD)
simulations.
1–4 are silicon atoms, and A and B are oxygen atoms. The Si-O bonding (1–A) in panel
a is broken to create a silicon dangling bond 1-, and a non-bridging oxygen
atom A- in panel b. In c, the A- reforms bonding with 3, exposing B as a
new non-bridging oxygen atom. The continuous occurrence and relay of such events lead to
the creation and migration of dangling silicon bond and non-bridging oxygen atom, as
well as the rotation and relocation of SiO4 clusters.
In our experimental samples, which are much thicker, the vast majority of atoms are not
close to surfaces. However, the mechanism revealed in the MD simulation above, that is, the
atomic-scale 'repair' processes enabled by the prevalent bond switching, acquires help from
electron radiation effects. During the e-beam irradiation, the first defect process in
amorphous SiO2 is the ionization damage due to electron–electron interaction,
giving rise to Auger processes and bonding changes. This can lead to the cleavage of Si-O
bond (its bond energy is in the range of 4.4–6.2 eV1935), forming a silicon
and oxygen dangling bond pair. The second damage mechanism is the displacement of a bridging
oxygen atom to form an interstitial oxygen atom, leaving behind a vacancy36.
The displacement energy in amorphous silica is ∼25 eV37, reachable by the
energy transferred from the 200 keV electron to oxygen (33 eV) and silicon (19 eV)38 during an elastic collision. The radiation7363940 thus
leads to the formation of dangling bonds, the creation of oxygen vacancies
(point-defect-like entities in amorphous solids40) and possibly even the
release of some oxygen molecules (although the change in the overall composition is not
detectable; Fig. 4l).All these are expected to facilitate the bond severing and re-forming (Fig.
6) and the plastic flow during the high-stress-induced straining. The high-energy
electrons and the defects they created directly facilitate the atoms to overcome the energy
barrier for bond switching, reducing the flow stress and mediating the very large ductility,
that is, the superplastic behavior observed. Ionization-induced diffusion39
and viscous flow mediated by point-defect-like 'flow defects' in amorphous solids40 have also been discussed before. In contrast, only brittle behavior is
expected for a bulk piece of fused silica glass at RT. In this case, without the assistance
of either the electron radiation, or high temperature, or large fraction of defects due to
surfaces, the repair process cannot keep up with the void opening process.In general, the same bond-switching mechanism as shown in Figure 6
can lead to plasticity under various conditions. (1) At high temperature ≳
Tg, the bond switching is activated by thermal energy to sustain viscous
flow. (2) In a very thin NW, bond switching can be initiated by the defects and dangling
bonds near the surface. (3) In the current work, we have e-beam penetrating the entire
sample to promote the defects for flow at RT, leading to superplasticity in much larger
samples. All the above three cases have similar results and underlying mechanism, but the
causes are completely different: high temperature for (1), surface defects and large
surface-to-volume ratio for (2) and e-beam defect creation and bond manipulation for (3).
The latter is a low-temperature flow process in lieu of the high-temperature viscous
flow.We conclude that the conventionally brittle amorphous silica, when manufactured into
nanoscale objects, can be readily made ductile by low-intensity e-beam irradiation that does
not noticeably change the temperature. This is because the energetic beam will generate
structural and bonding defects throughout the entire sample body to facilitate the
bond-switching events that impart flexibility to the atomic clusters, for their rotation and
migration to accommodate the flow. In addition, when the sample is very small, it will be
sufficiently flaw-free to sustain the high stresses (a few GPa) that are required to switch
the bonds and relocate the clusters to annihilate any newly emerging damages. This
atomic-level repair process heals the incipient voids that emerge on deformation, before
they reach the critical size for crack initiation. 'Cold' superplastic deformation is thus
made possible near RT, almost equivalent to flow near or above Tg. In
other words, the atomic-scale mechanism51213 responsible for the
high-temperature thermally induced viscous flow is now rendered pronounced at RT with the
help of the e-beam-induced defects.These results may open new avenues for the applications of brittle materials such as oxide
glasses, and also have implications for their processing and integrity, as they are being
scaled down into the nanometer regime in devices12. Although only silica
glasses are studied here, we believe the e-beam effect on plastic deformation is general and
may explain the large ductility previously observed inside TEM for other covalent or ionic
brittle materials41.Our current discovery also expands the application of the e-beam in material processing and
shaping, especially in bottom-up processes, because of the low beam density needed, the
small temperature rise and the relatively large (at least submicron) samples that can be
handled. TEM is used frequently for examining nanomaterials and for in situ testing
of their properties. Our finding therefore provides the much-needed quantitative assessment
of the e-beam effect on the plastic deformability of the material being illuminated, which
has remained unexplored till now.
Methods
Sample preparation
Amorphous silica particles were produced by a sol–gel process. In a typical synthesis, 4
ml tetraethyl orthosilicate was injected into a mixture of 16 ml of distilled water, 4 ml
of ammonium hydroxide and 80 ml isopropanol at RT under magnetic stirring. After reacting
for 2 h, the colloidal spheres were collected by centrifugation, re-dispersed in 30 ml
absolute ethyl alcohol. An additional thin layer of titania (∼10 nm) was deposited by
using tetrabutyl titanate as the precursor and hydroxypropyl cellulose as the surfactant
by following a procedure that we reported previously42. The products were
washed with ethanol several times, and finally dried at 333 K for 8 h. The particles were
ultrasonically dispersed in a dehydrated alcohol solution for 30 min. The solution
containing the amorphous silica nanospheres was deposited on a silicon wedge substrate by
a glass nebulizer, and some of the solid particles were left behind on top of the wedge
plateau (∼1.5 μm in width) after the solvent evaporated. These particles are ∼500 nm in
diameter.The type of silica glass studied in tensile testing was the amorphous silica fabricated
using the popular thermal evaporation fabrication method4344. Commercial
high-purity (99.99 at%) silicon mono-oxide powder was used as the evaporation source. A
silicon wafer was used as the substrate to collect the NWs. Together with the evaporation
source, the silicon substrate was placed into the Al2O3 container in
a furnace at an inclined angle. No carbon source or other possible contaminations were
involved in the synthesizing process of the NWs. The container was evacuated to a pressure
of about 10 Pa, and back filled with Argon to ∼0.27×105 Pa. When conducting
the thermal evaporation process, the heating rate was controlled to be a constant until
the temperature reached 1,223 K. The system was kept at 1,223 K for 15 min and then cooled
down to RT. A large amount of white cotton-like NWs were then collected from the silicon
substrate.
Microscopy and in situ testing
JEOL FEG scanning electron microscope (JEOL 6500 SEM) and a JEOL
FEG high-resolution TEM (HRTEM) operating at 200 keV were used to characterize the
synthesized materials. The point resolution of the high-resolution TEM is about 0.19 nm.
The electron energy dispersive spectrum and the EELS were taken with the JEOL 2010 FEG HREM, using a Gatan EELS attachment
(Gatan). The energy resolution of the EELS system is about
1.2 eV. The fabricated silica NWs were found from these techniques to have properties
similar to those reported by others4546474849. From HREM images, we
did not see any small-scale porosity that could cause measurable density changes in the
NWs. The NWs were fabricated at high temperatures above 1,273 K, and no H2O
molecules are expected inside the sample. From both of energy dispersive spectrum and EELS
analysis, no obvious impurities were noticed, including chlorine.For compression testing on individual particles, the experiments were carried out in
situ inside the TEM using the Hysitron PicoIndenter1617. This
quantitative technique is able to compress individual particle between a flat diamond
punch and a flat silicon substrate, acquiring force-displacement data with ∼0.3 μN and ∼1
nm resolution, while simultaneously observing the deformation behavior in a TEM. The
deformation process, in the displacement-controlled mode with a rate 10 nm
s−1, is recorded at 30 frames per s. See Supplementary Movie 1. A multiple loading–partial unloading procedure was
used for the mechanical testing, which improves the contact between the diamond punch and
the particles for reproducible data and thermal conductance.For tensile testing, the NWs, with diameters about 40 nm, were on a specimen-supporting
grid covered with CTF. Figure 7 shows the details of this
method2122. Fig. 7a is an illustration of the TEM
copper grid with a diameter of 3 mm. Fig. 7b shows one hole of the
TEM grid, which was covered with a thin colloidal film for supporting the NW specimen.
Cracks were made on the CTF, as shown in Figure 7b. The
SiO2 NWs spread-on were randomly scattered over the CTF, bridging the cracks.
The two ends, A and B of one NW, were tangled and fixed in the cracked CTF, as shown in
Figure 7c taken from the red-boxed region. With the e-beam
illumination, the CTF shrank, applying axial-tensile stress on the SiO2 NW.
During the tensile pulling process, the e-beam was often moved away from the NWs. This is
because the colloidal films require continued illumination to shrink further. The beam
current density used for tensile pulling (illuminating the CTF) was usually from
1.5×10−4 to 1×10−2 A cm−2. A flux of 4 A
cm−2 was used for capturing the high-magnification HREM images (such as
the case at a magnification of 400 000×).
Figure 7
The colloidal thin film contraction method for generating a tension force on the
nanowires (NWs)2122.
(a) A sketch of the transmission electron microscope (TEM) copper grid.
(b) One hole of the TEM grid with carbon-supporting film. (c) Pulling of
a single NW by contracting the carbon film holding the NW.
MD simulations
Molecular dynamics simulations using large-scale atomic/molecular massively parallel
simulator (LAMMPS)50 were performed using the Carre–Horbach–Ispas–Kob
(CHIK) potential51, which is a modified version of the classical
Beest–Kramer–Santen (BKS) potential52. The simulation box contains 6,000
atoms (2,000 silicon and 4,000 oxygen), with dimensions of 3.56 nm (x) ×3.56 nm
(y) ×7.12 nm (z) (density 2.2 g cm−3). The samples were
intially melted and equilibrated at 6,000 K for 100 ps, and then quenched to 300 K under
the NVT (constant number of particles, volume and temperature) condition at 5 K
ps−1. The temperature was scaled with cooling and controlled by
Nose–Hoover thermostat, as implemented in LAMMPS. Uniaxial tensile tests were conducted,
with periodic boundary condition applied along the z (length) direction, and
relaxed free surfaces for the x and y directions. Temperature for the
loading tests was controlled at 300 K. Deformation was applied by scaling the simulation
box at a step size of ∼0.001% tensile strain, followed by structural relaxation at 300 K.
The uniaxial strain rate along the z direction is ∼108
s−1.
Author Contributions
K.Z. conducted the in situ TEM tensile experiments and C.C.W. conducted the in
situ TEM compression experiments. Y.Q.C. carried out the MD simulations and the
thermal conduction analysis. These authors contributed equally to this reported research.
Y.H.Y. contributed to the in situ NW experiments. X.D.H., Z.W.S., Z.Z. and E.M.
designed the project and guided the research. M.Y. and Y.Y. prepared the oxide particles.
S.X.M. contributed to the discussions. E.M., Y.Q.C. and X.D.H. wrote the paper. All authors
contributed to the revision of the paper.
Additional information
How to cite this article: Zheng K. et al. Electron-beam-assisted superplastic
shaping of nanoscale amorphous silica. Nat. Commun. 1:24 doi: 10.1038/1021
(2010).
Supplementary Movie 1
In situ compression test of an amorphous silica nanoparticle inside a
transmission electron microscope.
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