DOI: 10.1002/adma.200602376
Molecular Pressure Sensors**
By Hui Xu, Frank C. Sun, David G. Shirvanyants, Michael Rubinstein, Denis Shabratov,
Kathryn L. Beers, Krzysztof Matyjaszewski, and Sergei S. Sheiko*
Flow properties of molecularly thin films are at the founda-
tion of many practical applications such as lithography, micro-
fluidics, coatings, and lubrication.
[1–10]
Further advances in
these fields depend on understanding the mechanisms that
control the kinetics of flow.
[11–14]
However, one of the prob-
lems in flowing monolayers is the independent characteriza-
tion of the driving and frictional forces that are intimately
coupled through the molecular interactions between the fluid
and the substrate. In this regard, the visualization of compres-
sible macromolecules during flow provides an exceptional op-
portunity to study these forces.
[15]
Here we report on the mon-
itoring of brush-like macromolecules as they change their
shape in response to variations in the film pressure during
flow. After appropriate calibration, these molecular sensors
can be used to gauge both the pressure gradient and the
friction coefficient at the substrate. We anticipate the utiliza-
tion of such miniature sensors for probing flow properties on
nanometer length scales.
The design of the pressure-responsive macromolecules is
based on brush-like polymer architectures comprised of a
flexible backbone surrounded by a dense shell of side chains
(Fig. 1a). The characteristic property of these macromolecules
is their ability to change shape upon lateral compression on a
substrate.
[16–18]
If the film pressure increases, the number of
side chains adsorbed to the surface decreases allowing the
backbone to coil. This causes the macromolecules to become
more compact and occupy less area on the substrate. There-
fore, the area per molecule can be used as a pressure sensitive
parameter to gauge the variations of film pressure within
flowing monolayers.
Molecular brushes (Fig. 1a) with the same degree of poly-
merization of a poly(2-hydroxyethyl methacrylate) backbone
(n = 570 ± 50) and different degrees of polymerization of
poly(n-butyl acrylate) (pBA) side chains (n = 35 ± 5 and
n = 51 ± 5) were synthesized by atom transfer radical polymer-
ization.
[19,20]
At room temperature, the materials are fluid
melts that spontaneously spread when placed on higher sur-
face energy substrates such as mica and graphite.
[21]
Small
drops of molecular brushes (volume ∼ 1 nl, radius ∼ 100 lm)
were deposited on a substrate inside an environmental cham-
ber under controlled temperature (T = 25 °C) and relative
humidity (RH = 30–99 %). Like many other fluids, the drops
first spread by generating a molecularly thin precursor film
moving ahead of the macroscopic drop (Fig. 1b).
[22]
Using an
atomic force microscope (Multimode, Nanoscope 3A, Veeco
Metrology Group), we monitored the spreading process over
a broad range of length scales ranging from the motion of the
film front all the way down to the movements of the individu-
al molecules within the film.
[15,23]
Figure 1c shows the time dependence of the film length
L = R – R
0
observed on mica at a high relative humidity
(RH = 99 %), where R
0
= 63 lm is the initial drop radius and
R is the total radius of the film at time t (Table 1). The length
follows the well-known law, observed for different types of
simple and complex fluids, (R – R
0
)
2
Dt, where D is the
spreading rate having the dimension of a diffusion coeffi-
COMMUNICATION
2930 © 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Adv. Mater. 2007, 19, 2930–2934
–
[*] Prof. S. S. Sheiko, Dr. H. Xu,
[+]
F. C. Sun, D. G. Shirvanyants,
Prof. M. Rubinstein
Department of Chemistry, University of North Carolina at Chapel Hill
CB# 3290, Chapel Hill, NC 27599 (USA)
E-mail: sergei@email.unc.edu
Dr. D. Shabratov
Estonian Nanotechnology Competence Center
Riia 142, Tartu 51014 (Estonia)
Dr. K. L. Beers,
[++]
Prof. K. Matyjaszewski
Department of Chemistry, Carnegie Mellon University
4400 Fifth Avenue, Pittsburgh, PA 15213 (USA)
[+] Current address: Caliper Life Sciences, 605 Fairchild Drive, Moun-
tain View, CA 94043, USA.
[++] Current address: NIST Combinatorial Methods Center, Polymers
Division, National Institute of Standards and Technology, Gaithers-
burg, MD 20899, USA.
[**] This research is supported by grants from the National Science
Foundation (CBET 0609087 and DMR 0606086) and the Petroleum
Research Foundation (PRF-46204-AC7). Supporting Information is
available online from Wiley InterScience or from the authors.
Table 1. Time dependence of the film length at different relative humidity
(RH).
# [a] N [b] RH (%) [c] t (min) [d] R
0
(lm) [e] R(lm) [f ]
1 35 99 10 63 638
2
3
4
5
35
35
50
50
97
95
99
30
10
10
10
900
40
52
38
150
126
59
359
162
[a] experiments #1–3: spreading of pBA brushes with n = 35 ± 5
(M
n
= 2.7 × 10
6
g mol
–1
) on mica substrate at different relative humidities;
experiment #4: spreading of pBA brushes with longer side chains
(n = 51 ± 5, M
n
= 3.8 × 10
6
g mol
–1
) on mica substrate at RH = 99 %; exper-
iment #5: spreading of pBA brushes with n = 50 ± 5 on highly oriented
pyrolytic graphite at RH = 30 %. [b] degree of polymerization of the side
chains of brush molecules. [c] relative humidity within the chamber. [d]
time allowed for spreading process [e] the initial radius of the drop does
not change significantly during the spreading process. [f ] radius of the
precursor film at time t, R(t)= R
0
+ L(t).