Controlling Nanowear in a Polymer by
Confining Segmental Relaxation
Bernd Gotsmann* and Urs T. Duerig
IBM Research GmbH, Zurich Research Laboratory, 8803 Ru ¨schlikon, Switzerland
Scott Sills, Jane Frommer, and Craig J. Hawker
²
IBM Research, Almaden Research Center, 650 Harry Road,
San Jose, California 95120
Received October 17, 2005
ABSTRACT
Molecular relaxation of a copolymer designed for nano-electromechanical systems was chemically confined by varying the spacing between
cross-links, δ
c
. A critical cross-link spacing of 1-3 nm marks a transition in the nano-mechanical properties evaluated by atomic force microscopy.
The transition reveals an interplay between the cross-link spacing and the length scale for backbone relaxation,
r
, in cooperatively rearranging
regions. For δ
c
.
r
, the natural backbone relaxation process is relatively unaffected by the cross-links and a ductile, low hardness behavior
results. For δ
c
<
r
, the cross-links directly interfere with backbone relaxation and confine segmental mobility, leading to a brittle, high
hardness response.
Nano-electromechanical systems (NEMS) are receiving
considerable attention in both science and technology.
Friction and wear are among the most critical problems to
be solved in order to fabricate commercially viable devices
with moving parts.
1
Extensive efforts have been devoted to
controlling and minimizing wear. However, when device
applications require nanoscale phase homogeneity, specialty
coatings, composite reinforcement, and third body lubrication
become unattractive approaches to tackling wear issues.
Examples of such applications include scanned-probe data
storage
2,3
and scanned-probe lithography and patterning.
4
Wear management in NEMS must evolve from the
molecular scale. Macroscopic wear phenomenology, with
descriptors such as yield stress, hardness, wear volume, etc.,
fails to completely describe molecular and nanoscale wear
processes. Nanoscopic wear characteristics of polymers are
regulated by the interaction of critical molecular length
scales, including relaxation length scales, the spacing between
cross-links, and the size of external contacts.
Many proposed NEMS schemes incorporate sharp probes
for transport, sensing, and patterning operations. Under
loading forces of a few nanonewtons, a nanometer sharp tip
typically produces stresses of hundreds of megapascals. A
polymer surface beneath the tip accommodates these stresses
through both viscoelastic and plastic modes. The frictional
energy is dissipated either internally, i.e., through viscoelastic
molecular relaxation processes,
5-7
or through pseudoplastic
mechanisms such as chain pull-out, scission,
8
or crazing.
9
The wear characteristics of the surface inevitably depend on
which relaxation modes are available under the sliding
conditions and on the extent to which the relaxation processes
are spatially correlated throughout the material.
In this Letter, we focus on controlling the wear charac-
teristics of synthetic polymers for contact mechanical opera-
tions in NEMS. By reducing the cross-link spacing, we
confine natural molecular relaxation and reveal a transition
between the dominant wear mechanism: from viscoelastic
rippling in a ductile material to pseudoplastic, abrasive wear
in a brittle material. The transition between wear modes
occurs when the spacing between cross-links matches the
length scale required for segmental backbone relaxation.
Random copolymers of styrene and benzocyclobutene
(PS-BCB)
10
were selected as a model system, based on the
developing technology of scanned-probe data storage.
2,3
Latent cross-links are provided via the BCB groups, with
the primary reaction pathway proposed in Figure 1:
PS-BCB films (20 nm thick) were spin cast from
cyclohexanone solutions (1 wt %) onto silicon wafers coated
with an epoxy (SU8) buffer layer (80 nm). The buffer serves
to prevent tip wear if penetration through the surface film
occurs. The films were thermally cross-linked under nitrogen
at 220 °C for 1 h.
10
The BCB content was varied during
synthesis from 0 to 30 mol %, with overall molecular weights
M
w
and molecular weight between cross-links M
c
ranging
from 14 to 123 kDa and 243-17400 Da, respectively.
11
The
* Corresponding author, bgo@zurich.ibm.com.
²
Present address: University of California, Santa Barbara, CA 93106-
9510.
NANO
LETTERS
2006
Vol. 6, No. 2
296-300
10.1021/nl0520563 CCC: $33.50 © 2006 American Chemical Society
Published on Web 01/11/2006