Mechanical Properties in Small Dimensions: Comments from Industry
absence of preexisting imperfections,
only shear stresses in a line are relaxed.
Relaxation of the hydrostatic-stress
component requires the nucleation of
a void. Once formed, voids can locally
relax hydrostatic tension, leading to
hydrostatic-stress gradients that drive
further void growth. A second process
that can lead to void growth is
electromigration. In this case, diffusion
takes place due to the momentum
transfer from an electron flux in the line
to metal atoms in the line. The motion of
atoms due to the electron “wind” can
result in atoms piling up at one end of
the line, leaving a void at the other end.
In lines that are confined in a dielectric,
a corresponding hydrostatic-stress
gradient arises that opposes the atom
flux. In short lines, this gradient can
become sufficient to completely shut
down the electromigration flux.
It can be seen that diffusion and void
growth in interconnect structures is
intimately connected with their stress
state. Complete modeling of void-
growth phenomena therefore requires
simultaneous modeling of both the stress
state and diffusional fluxes in the
structure. Considerable advances have
been made in understanding the behavior
of isotropic metal lines encased in a rigid
dielectric. While such models are
appropriate for the case of aluminum
lines encased in an oxide dielectric, more
advanced modeling is required when
considering the case of anisotropic
metals such as copper and soft, low-
permittivity dielectrics that are currently
being introduced to enhance circuit
performance. With anisotropic metals,
discontinuities in the elastic modulus
can occur on crossing grain boundaries,
resulting in grain-to-grain variations in
the stress state of a line. Such effects may
enhance void nucleation and growth
when specific grain orientations or
textures are present. An understanding of
the specific effects that details of the line
microstructure have on void growth is
likely to require computer models in
which stress and diffusion modeling are
linked at the microstructure scale.
significant effect on diffusion at one
or more of these interfaces. A classic
example is copper at grain boundaries in
aluminum metal lines that can reduce the
rate of void growth by electromigration
by orders of magnitude. Despite more
than 30 years of study, the fundamental
origin of this effect has still to be found.
Such understanding is likely to require
detailed atomistic modeling of the
interaction of solutes with grain
boundaries as well as simulations of
how diffusion processes take place at
grain and phase boundaries. Thus,
computer modeling has an important
role to play in understanding diffusion
in interconnects at both the atomistic
and microstructural scales.
unstable, even at room temperature, due
to the small grain size and the presence of
a significant number of atomic defects.
The grain size is often on the nanometer
scale, and the dislocation density can be
large, leading to a ꢀ20% higher electrical
resistance than in bulk copper. These
characteristics are undesirable in an
interconnect material.
As a result, atomic defects need to be
removed during processing in order to
improve circuit performance and device
reliability. One of the common techniques
is to employ thermal annealing, which
promotes grain growth and reduces
electrical resistance. However, due to the
copper/dielectric thermal-mismatch-
induced stress and other unknown
mechanisms, trench and via voids can
form if the annealing condition is not
optimized. To avoid the formation of
stress-induced voids, process engineers
require knowledge of dislocation-
mediated stress-relaxation behavior for
different thermal conditions, film textures,
and interconnect-structure geometries.
Other length-scale-dependent mechanical
properties such as strain-gradient
plasticity should also be investigated
as circuit design layout reduces to
sub-0.1-ꢀm dimensions for the coming
generations of devices.
Thomas M. Shaw
Research Staff Member,
Silicon Technology Department
IBM T.J. Watson Research Center
The Industrial Significance of
Understanding Dislocation Behavior
inThin Films
Electrochemically deposited (ECD)
copper films are now commonly used in
the high-performance microelectronics
industry to increase ULSI (ultralarge-scale
integration) circuit performance and to
reduce manufacturing costs. However,
ECD copper has unique physical
Ting Y. Tsui
properties that pose significant challenges
during ULSI processing. For example,
as-deposited ECD copper thin films are
Member of Technical Staff,
Silicon Technology Research
Texas Instruments Inc.
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Theme: Alternative Gate Dielectrics for Microelectronics
Guest Editors: Glen D. Wilk (Agere Systems) and Robert Wallace (University of North Texas)
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A further important aspect of void
growth is understanding the diffusion
paths that contribute to vacancy fluxes.
Rarely is bulk diffusion active at the
operating temperatures for semi-
Theme: Combinatorial Materials Science
Guest Editors: Eric J. Amis (National Institute of Standards and Technology), Xiao-Dong
Xiang (Intematix Corporation), and Ji-Cheng Zhao (GE Corporate Research & Development)
May
conductors, and frequently there are
multiple parallel paths that contribute
to void growth. These may include
metal/metal grain boundaries and phase
boundaries and metal/dielectric interfaces.
In many cases, the addition of small
amounts of additives can have a
April 1, 2002
Theme: Optical Fiber Sensors
Guest Editors: Gerard Franklyn Fernando (Royal Military College of Science, United Kingdom),
David J. Webb (Aston University, Birmingham) and Pierre Ferdinand (CEA Leti, France)
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MRS BULLETIN/JANUARY 2002
53