Materials Science and Engineering A 538 (2012) 89–97
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Materials Science and Engineering A
jo ur n al hom epage: www.elsevier.com/locate/msea
Plasticity of indium nanostructures as revealed by synchrotron X-ray
microdiffraction
Arief Suriadi Budiman
a
, Gyuhyon Lee
b
, Michael J. Burek
b,1
, Dongchan Jang
c
, Seung Min J. Han
e
,
Nobumichi Tamura
f
, Martin Kunz
f
, Julia R. Greer
c
, Ting Y. Tsui
b,∗
a
Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
b
Waterloo Institute for Nanotechnology, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada
c
Division of Engineering and Applied Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA 91125, USA
e
Graduate School of Energy Environment Water Sustainability, Korea Advanced Institute of Science and Technology, 373-1 Guseong Dong, Yuseong Gu, Daejeon 305-701, Republic
of Korea
f
Advanced Light Source, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA
a r t i c l e i n f o
Article history:
Received 10 August 2011
Received in revised form 9 December 2011
Accepted 9 January 2012
Available online 17 January 2012
Keywords:
Indium
Nanopillar
X-ray microdiffraction
Microstructure
Dislocation
a b s t r a c t
Indium columnar structures with diameters near 1 m were deformed by uniaxial compression at strain
rates of approximately 0.01 and 0.001 s
-1
. Defect density evolution in the nanopillars was evaluated by
applying synchrotron Laue X-ray microdiffraction (SLXRD) on the same specimens before and after
deformation. Results of the SLXRD measurements indicate that the dislocation density increases as a
result of mechanical deformation and is a strong function of strain rate. These results suggest that the
rate of defect generation during the compression tests exceeds the rate of defect annihilation, implying
that plasticity in these indium nanostructures commences via dislocation multiplication rather than
nucleation processes. This is in contrast with the behaviors of other materials at the nanoscale, such as,
gold, tin, molybdenum, and bismuth. A hypothesis based on the dislocation mean-free-path prior to the
multiplication process is proposed to explain this variance.
© 2012 Elsevier B.V. All rights reserved.
1. Introduction
With the increased insertion of nanoscale electronic and pho-
tonic devices into technological applications, understanding the
mechanical behavior of small scale structures becomes increasingly
important to ensure life-time and reliability of these products. In
the context of mechanical properties, one of the important scientific
discoveries was the emergent size dependence of yield strength
in metals once their dimensions are reduced to the micron and
sub-micron scales [1–9]. For example, as the dimensions of the fea-
ture size in face-centered cubic metal like Au are reduced to less
than 1 m, their yield strengths may increase by ∼80 times [10].
One of the possible explanations for this size dependence deeply
in the sub-micron regime is the dislocation starvation effect. The
premise of this theory is that as the dimension of single crystals
are reduced to nanometer scale, mobile dislocations glide along
their slip planes to the free surfaces relatively unimpeded, and
∗
Corresponding author. Tel.: +1 519 888 4567x38404; fax: +1 519 746 4979.
E-mail address: tttsui@uwaterloo.ca (T.Y. Tsui).
1
New address: School of Engineering and Applied Sciences, Harvard University,
29 Oxford Street, Cambridge, MA 02138, USA.
therefore annihilate at the free surface without significant interac-
tions with other defects. The result is a net reduction in the mobile
dislocation density within the nanostructure during mechanical
deformation. As the sample is further deformed, the few remain-
ing mobile dislocations cannot accommodate the imposed plastic
strain, and therefore new dislocations have to be nucleated, which
requires high stresses. As the nanostructures get smaller, the
number of available dislocation sources decreases, and their oper-
ation strength increases, which leads to the ever higher stresses
in smaller samples [1,3,9]. This notion of dislocation starvation,
coined by the authors as “mechanical annealing”, has also been
demonstrated via in situ compression of single crystalline nickel
pillars [6]. Shan et al. [6] used an in situ transmission electron
microscope (TEM) nanoindenter to illustrate this size effect and
showed that the initial dislocations in a focused ion beam (FIB)
-fabricated 160 nm diameter nickel pillar completely disappear
upon mechanical deformation. Budiman et al. [11] used a non-
destructive synchrotron Laue X-ray microdiffraction technique to
perform ex situ characterization of the defect density within gold
nanopillars before and after the compression tests. These SLXRD
results showed no detectable increase of the Laue spot diffrac-
tion peak broadening, which indicates there is no net increase of
defect density in the small-scale structures after the mechanical
0921-5093/$ – see front matter © 2012 Elsevier B.V. All rights reserved.
doi:10.1016/j.msea.2012.01.017