Yuchen Si1,2, Tao Li2, Paul S Clegg1. 1. School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, U.K. 2. Wenzhou Institute, University of Chinese Academy of Sciences, Wenzhou, Zhejiang 325001, P. R. China.
Abstract
We describe an experimental technique for the production of foams comprised of bubbles in a continuous phase of balanced quantities of aqueous and oil phases. Initially, two highly stable foams are fabricated: one typically made from olive oil with bubbles stabilized using partially fluorinated particles and the other made from a mixture of water and propylene glycol with bubbles stabilized using partially hydrophobic particles. After a rough mixture is prepared, the final mixed foam is fabricated via spinning the components together; the spinning leads to the final foam being well-mixed and dry. Here the final mixed foams are presented in thin-film form. We show the locations and roles of the various components.
We describe an experimental technique for the production of foams comprised of bubbles in a continuous phase of balanced quantities of aqueous and oil phases. Initially, two highly stable foams are fabricated: one typically made from olive oil with bubbles stabilized using partially fluorinated particles and the other made from a mixture of water and propylene glycol with bubbles stabilized using partially hydrophobic particles. After a rough mixture is prepared, the final mixed foam is fabricated via spinning the components together; the spinning leads to the final foam being well-mixed and dry. Here the final mixed foams are presented in thin-film form. We show the locations and roles of the various components.
Media comprising aqueous and organic components
are found throughout
foods, personal care products, and home care products.[1,2] The addition of air provides a route for controlling the density,
composition, and flow properties.[3,4] Furthermore,
in material, cleaning, and catalysis applications, combined water–oil–air
systems provide properties that cannot be accessed by any other route.
To date, such composites have tended to feature one of the two liquids
as a minority component[5,6] or have employed droplets as the
dominant component;[4,7,8] these
design strategies can be a distinct disadvantage. Moving beyond these
regimes is an important challenge. A foam with balanced quantities
of oil and water could be applied to the cleanup of unspecified toxins
following a terrorist incident, for example.Colloidal particles
become trapped at liquid–fluid interfaces
provided that the particles do not have a substantial affinity for
one of the media in preference to the other.[9,10] Hence,
partially hydrophobic particles will become trapped at water–air
interfaces, whereas hydrophilic particles would disperse in the water
and fully hydrophobic particles would rest on the surface of the water
(provided they are not too large and dense).[11] Once trapped at the interface, partially hydrophobic particles require
energies much larger than that of regular Brownian motion to dislodge.[12,13] With a large population of these particles, bubbles can be stabilized
for long periods of time, to give a particle-stabilized foam. The
escape of the trapped vapor is suppressed in these foams to a remarkable
extent.[14−16]As described, it is possible to balance the
affinity of particles
between air and water by carefully adjusting the hydrophobicity of
the surfaces. This can be done via, e.g., the addition of methyl groups
to the particle surfaces. To stabilize bubbles in an oil, the oleophobicity
must be controlled.[17,18] This can achieved via the use
of partially fluorinated particles (or via alternative approaches
in edible foams[3,19]). Colloidal particles with varying
degrees of fluorination have been used to create long-lived foams
from a wide range of oils.[17] In general,
the surface tension of oil–air interfaces is significantly
lower than that of water–air interfaces. This means that, while
still substantial, the energies required to dislodge particles from
oil–air interfaces are comparatively lower.These differing
surface tensions for water–air and oil–air
interfaces have been harnessed by Behrens to create novel multicomponent
foams.[5,6] Here small quantities of an oil are added
to a particle-stabilized aqueous foam. Due to the surface tension
difference, the oil tends to preferentially adsorb to the bubble surfaces
without, however, behaving like an antifoam. Furthermore, by carefully
tuning the wetting relationship between the oil and the particles,
one can form capillary bridges by the oil between the particles leading
to the formation of a capillary foam (by analogy to capillary gels[20]).[5] This study is
the first systematic investigation of water–oil particle-stabilized
foams of which we are aware.In this paper, we present a route
to creating foams from mixtures
of aqueous and oily precursor foams where the two solvents are present
in roughly equal quantities. Both of the precursor foams are stabilized
by solid particles. We show the optimization of these initial foams
and present the final mixed foams in thin-film form.
Results and Discussion
We begin by optimizing the properties of our aqueous foam. Panels
a and d of Figure show that the height of the pure water-based foam increases significantly
upon addition of a finite amount of propylene glycol. The addition
of propylene glycol makes the aqueous phase less polar. This modifies
both the particle–particle interactions in the aqueous phase
and the three phase contact angle at the liquid–air interfaces.
All of these aqueous foams are stabilized by the Aerosil R972 hydrophobic
fumed silica particles (Experimental Section), and the silica particles are located at the bubble interfaces
(see Figure b). The
peak height of an aqueous foam, stabilized by 1.5 wt % silica,
is observed when the ratio of propylene glycol and water is around
2:5. As the proportion of propylene glycol increases further, the
height starts to decrease. Finally, no foam can be generated when
the ratio reaches 5:2. The foam heights decline during the first 30
min after preparation and then remain stable (see Figure c). When the concentration
of propylene glycol is optimized, the foams persist for >8 months
at room temperature. With the same proportion of propylene glycol,
the height of the foam increases with silica particle concentration.
The variation of the foam height with propylene glycol concentration
is echoed by the contact angle of an aqueous droplet on a bed of particles
(Figure e), although
this variation is not that large and also reflects the nature of a
fluffy bed of dry particles (Figure f). Indeed, the rough surface presented by the undispersed
fluffy aggregates is likely to make the contact angle more extreme.
Hence, it is expected that the effect of dispersing the fluffy particle
aggregates in the solvent changes their wettability markedly. For
undispersed and incompletely dispersed samples, a small quantity of
bubbles is mingled with particle agglomerations, as one can see in
the subphase (see Figure g). Large lumps of undispersed particles make the foam less
uniform and inhibit our exploration of the relationship between two
populations of bubbles. On the microscopic scale, the extent of particle
dispersion is a crucial factor during foam preparation. Again, this
reflects the relationship between the roughness of a particle cluster
(albeit, now on a much smaller scale) and the contact angle. For well-dispersed
samples, fine foams are generated. However, if the particles are dispersed
for too long, the foam height will decrease and the mean bubble size
will increase. Our experience suggests that a 1.5 wt % silica
sample needs to be rotated by a rotating lab mixer (speed of 70 rpm)
for approximately 30 h for the particles to be ideally dispersed,
and each additional 1.0 wt % requires an additional 1 day.
This prolonged period required to disperse the particles reflects
the challenge of dispersing partially hydrophobic nanoparticles in
an aqueous solvent, starting from a dry powder of agglomerates. An
alternative method involves using a vortex mixer (speed of 3000 rpm)
and an ultrasonic bath alternately for ∼6 h. The particles
reach the optimum condition for aqueous foam stabilization due to
the combined influence of the propylene glycol and particle dispersion.
Figure 1
(a) Average
heights of aqueous foams (1.5 wt % R972 particles)
over 1 day vs the proportion of ultrapure water and propylene glycol.
(b) Nile blue-dyed silica particles are attached to the bubble surfaces.
(c) Variation of the aqueous foam height for 1.5 wt % particles
vs time. (d) Photographs of 1.5 wt % particle-stabilized aqueous
foams on days 1 and 8 (volume fraction of propylene glycol listed).
(e) Variation of the contact angle of a droplet on a particle bed
in air with concentration of propylene glycol (repeated in triplicate).
(f) Photograph of the contact angle measurement. (g) Effect of the
particle dispersion (1.5 wt % particle-stabilized aqueous foams,
2:5 propylene glycol:water volume ratio). The sample is transformed
from undispersed to partly dispersed to well-dispersed to overdispersed.
(a) Average
heights of aqueous foams (1.5 wt % R972 particles)
over 1 day vs the proportion of ultrapure water and propylene glycol.
(b) Nile blue-dyed silica particles are attached to the bubble surfaces.
(c) Variation of the aqueous foam height for 1.5 wt % particles
vs time. (d) Photographs of 1.5 wt % particle-stabilized aqueous
foams on days 1 and 8 (volume fraction of propylene glycol listed).
(e) Variation of the contact angle of a droplet on a particle bed
in air with concentration of propylene glycol (repeated in triplicate).
(f) Photograph of the contact angle measurement. (g) Effect of the
particle dispersion (1.5 wt % particle-stabilized aqueous foams,
2:5 propylene glycol:water volume ratio). The sample is transformed
from undispersed to partly dispersed to well-dispersed to overdispersed.Next we turn our attention to the oil foam. The
liquid phase of
the oil-based foam can be chosen from many kinds of oil. Viscosity
is an important parameter for foam formation as a high viscosity (e.g.,
for castor oil) hinders particle dispersion. However, castor oil can
be diluted with other lower-viscosity oils to produce a foam. Additionally,
an enhanced viscosity can slow drainage and collisions between bubbles. Figure compares the MP-8T-stabilized
olive oil-based, castor oil-based, and sunflower oil-based foams,
and the MP-8T particles are located at the bubble interfaces (see Figure c). As shown in Figure a, the average height
of different types of oil-based foam with the same particle concentration
shows some variation with oil type over the first 2 h; however, this
is scarcely larger than the variation with repeat runs using the same
oil. Except for the pure olive oil sample, the particle-oil-air contact
angles for all of the other samples are around 75° (see Experimental Section). However, the contact angle
for the pure olive oil sample is around 100°. Unlike the aqueous
foams, preparing the oil-based foams with MP-8T requires only a few
minutes for the oils presented in panels a and b of Figure . The particles can readily
be dispersed using a vortex mixer leading to stable foams. The lack
of stickiness of the particles and the small proportion of residual
particles in the continuous phase result in an initial phase of more
rapid drainage (Figure c), which is not observed for the aqueous foams (Figure c). As shown in panels b and
d of Figure , pure
olive oil samples perform best with a slightly larger average foam
height. All of the pure olive oil foams with MP-8T concentrations
from 5 to 10 wt % are stable for >8 days at room temperature and
>8
months when stored in the refrigerator at 4 °C. The oil-based
foam with pure sunflower oil is the most unstable, and it starts collapsing
from the fifth day after preparation.
Figure 2
(a) Average heights of oil foam (MP-8T
particles) over the first
2 h and the corresponding contact angles for different types of oil.
(b) Variation of the height of oil-based foams as a function of time.
(c) FITC-dyed MP-8T particles are attached to the bubble surfaces
(5 wt % MP-8T/olive oil foam). (d) Photographs for MP-8T-stabilized
oil-based foams on days 1 and 8.
(a) Average heights of oil foam (MP-8T
particles) over the first
2 h and the corresponding contact angles for different types of oil.
(b) Variation of the height of oil-based foams as a function of time.
(c) FITC-dyed MP-8T particles are attached to the bubble surfaces
(5 wt % MP-8T/olive oil foam). (d) Photographs for MP-8T-stabilized
oil-based foams on days 1 and 8.Now we can consider the case of a mixed foam. Panels a–c
of Figure are the
three steps of mixed foam preparation presented as a flowchart. First,
freshly prepared oil-based and aqueous foams are transferred into
the same vial for premixing (Figure a). As the mass density of the oil-based foams (with
a smaller average bubble size and a higher proportion of the continuous
phase) is higher than that of the aqueous foams, the aqueous foam
should be placed on the top of the oil-based foam to avoid the former
being crushed. Premixing the foams by 60 s hand-shaking is
an essential step that promotes the mixing of bubbles at the cluster
level. Then, the premixed composite foams are transferred into a Petri
dish for spinning; the rotation speed, acceleration, and time are
set to 2000 rpm, 500 rpm/s, and 60 s, respectively
(Figure b). These
two types of foams do not tend to combine automatically as the oil
and water phase repel each other. The turntable of a spin-casting
device (see Experimental Section) provides
suitable force to promote both liquid drainage and bubble mixing (Figure c). Through the spinning
process, the foams blend further and simultaneously shed liquid via
drainage. After spinning, there is a layer of dryer foam floating
at the top of an extremely wet foam that contains a large proportion
of the liquid phase (Figure c). This dry floating foam layer is the mixed foam that we
wish to recover. However, given a few minutes, this floating layer
will sink and merge with the lower wet foam. Figure d shows photographs of this process during
which, we assume that, subphase liquid is drawn back into the spun
mixed foam as the bubble shapes begin to relax.
Figure 3
Work flow for composite
foam preparation. (a) Premixed oil-based
and aqueous foams (photographed here) are transferred into a Petri
dish (b) and then spun for 60 s (c) (panels b and c are cartoons).
(d) After spinning, a layer of the dryer foam is found floating at
the top of an extremely wet foam containing a high proportion of a
liquid phase. Photographs show that the dry layer we wish to study
will fall back and merge into the bottom wet subphase within a few
minutes.
Work flow for composite
foam preparation. (a) Premixed oil-based
and aqueous foams (photographed here) are transferred into a Petri
dish (b) and then spun for 60 s (c) (panels b and c are cartoons).
(d) After spinning, a layer of the dryer foam is found floating at
the top of an extremely wet foam containing a high proportion of a
liquid phase. Photographs show that the dry layer we wish to study
will fall back and merge into the bottom wet subphase within a few
minutes.We visualize these mixed foams
in thin-film form. Sandwiched between
two coverslips, the mixed foams show different structures due to the
relative amounts of oil and aqueous foams and the liquid content (wetness).
Space constraints and external forces are provided by locating the
sample between the coverslips. This arrangement tends to drive some
liquid out of the sample and stabilizes bubbles in a distorted configuration. Figure a shows a confocal
micrograph for a two-dimensional midwet composite foam. This is the
result of combining at least 3 times the volume of aqueous foam (2:7
propylene glycol with 1.5 wt % particles) with oil foam (with
10 wt % particles). The top layer after spinning (in Figure c) then has an appropriate
liquid fraction. Due to bubble coalescence, the tortuous bubbles act
as self-assembled air channels across large parts of the samples.
Regions of oil and aqueous phase border some bubbles, and the oil
and aqueous phase meet at points along the borders. Figure b shows that all of the black
regions in this kind of foam at this liquid fraction are gas channels,
and a majority of the bubble edges are not circular. It is not always
the case that black regions are the gas phase. The confocal and bright-field
images for a two-dimensional wet composite foam (Figure c) can be contrasted with Figure b. A wet sample can
be obtained when the top layer from spinning (in Figure c) recombines with the bottom
wetter part giving a liquid fraction that increases with time. In
addition to the gas phase (Figure c, in the white dashed rectangle), it contains some
free aqueous liquid phase that is undyed (Figure c, in the blue dashed rectangle) and some
free oil phase (Figure c, in the orange dashed rectangle). The clear untextured regions
in bright-field images can be recognized as the liquid phases, and
the spherical discrete aqueous bubbles are often observed in the undyed
free aqueous liquid regions. By contrast, the air channels reveal
the drying patterns on the glass surfaces that are visible as a rough
texture in the bright-field images.
Figure 4
Confocal and bright-field micrographs
for composite foams made
from yellow aqueous foam (1.5 wt % R972 silica particles, 2:5
propylene glycol:water volume ratio, dyed by Nile blue, false colored
for the sake of clarity) and red oil-based foam (10 wt % fluorinated
particles MP-8T/olive oil, dyed by Nile red). (a) Thin-film sample
fabricated following Figure using at least three parts aqueous foam to one part oil foam.
(b) Similar to panel a but with the corresponding bright-field micrograph
showing that the black regions are air rather than free solvent. (c)
Wetter composite foam in thin-film form. Dashed rectangles: free aqueous
liquid region (blue), free oil region (orange), and air region (white).
Confocal and bright-field micrographs
for composite foams made
from yellow aqueous foam (1.5 wt % R972 silica particles, 2:5
propylene glycol:water volume ratio, dyed by Nile blue, false colored
for the sake of clarity) and red oil-based foam (10 wt % fluorinated
particles MP-8T/olive oil, dyed by Nile red). (a) Thin-film sample
fabricated following Figure using at least three parts aqueous foam to one part oil foam.
(b) Similar to panel a but with the corresponding bright-field micrograph
showing that the black regions are air rather than free solvent. (c)
Wetter composite foam in thin-film form. Dashed rectangles: free aqueous
liquid region (blue), free oil region (orange), and air region (white).The mixed foams pictured in bulk in Figure a and in thin-film form in Figure are extraordinary.
In all
previous observations, bubbles within a foam have tended to have been
found all within the typical configuration. This could be all bubbles
within one phase or all bubbles contacting both phases. Here we observe
the case that is clearly well-removed from these two thermodynamically
favored cases: the bubbles are simultaneously observed in each phase
separately, and some bubbles are observed in contact with both phases.
Evidently, the presence of trapped interfacial particles is preventing
the composite system from relaxing to one of the favored configurations.Our mixed foams change due to drainage and can be destroyed during
mixing. Panels a–c of Figure show that, while the mixed bulk foam is long-lived,
the oil begins draining within hours. Furthermore, while the mixed
foam is comprised of both aqueous and oil foams, it is clear from
these images that local regions of enhanced pink and blue are present.
It seems likely that some local separation is occurring during drainage
(Figure c). Figure d shows a confocal
micrograph for a composite foam in bulk (i.e., without a top cover
slide). Figure e shows
a failed foam sample that then forms an emulsion. To avoid the formation
of the emulsion associated with the collapse of the foam, it is necessary
to avoid transferring a large amount of the liquid subphase into the
vial when combining the foams (see Figure a).
Figure 5
(a–c) Drainage states of the original
mixed foam and that
after 2 h and 1 day, respectively. (d) Confocal micrograph of a composite
foam without a top glass slide with yellow aqueous foam (2.0 wt
% R972 silica particles, 2:5 propylene glycol:water volume ratio,
dyed by Nile blue, false colored for the sake of clarity) and red
oil-based foam (10 wt % MP-8T particles with olive oil, dyed
by Nile red). (e) For extremely wet foams, after mixing the foam collapses
leading to the formation of an emulsion.
(a–c) Drainage states of the original
mixed foam and that
after 2 h and 1 day, respectively. (d) Confocal micrograph of a composite
foam without a top glass slide with yellow aqueous foam (2.0 wt
% R972 silica particles, 2:5 propylene glycol:water volume ratio,
dyed by Nile blue, false colored for the sake of clarity) and red
oil-based foam (10 wt % MP-8T particles with olive oil, dyed
by Nile red). (e) For extremely wet foams, after mixing the foam collapses
leading to the formation of an emulsion.It is an important detail that, in addition to its role as a fluorophore,
Nile blue can also be seen to enhance the height of silica-stabilized
aqueous foams. Figure a shows that the presence of Nile blue significantly increases the
foam height; however, there is no significant trend with an increase
in dye concentration. The confocal micrographs provide more information
about the role of the dye (see Figure b). In some foams, typically of midwet composition,
the aqueous liquid regions between bubbles are observed to be undyed.
Instead, the dye is associated with the silica (R972) particles (see Experimental Section). These particles can be seen
at the air–aqueous–liquid and oil–aqueous–liquid
interfaces (Figure c–e). Evidently, the presence of the dye at the particle surfaces,
previously investigated in a similar system,[21] is improving the stability of the foam as shown in Figure a. As a further benefit, the
association of the dye with the particles enables us to further study
the role of the particles. Upon comparison of panels c and d of Figure , a faint yellow
curve can be seen at the boundary of an air region and a free aqueous
liquid region, which indicates that the silica particles are trapped
at the air–aqueous–liquid interface. In Figure e, a yellow curve appears at
the oil–aqueous–liquid interface. Panels c–e Figure show that the silica
particles are trapped at the bubble surfaces. However, in the dryer
composite foams without a large amount of free aqueous liquid, the
silica particles are primarily observed at the bubble surfaces (data
not shown).
Figure 6
(a) Heights of 1.5 wt % R972-stabilized aqueous foam that
increase suddenly with the addition of Nile blue. (b) Aqueous foams
stabilized using Nile blue alone after 10 min and 1 day. (c–e)
Mosaic images of confocal and bright-field micrographs for composite
foams. The yellow aqueous foam (1.5 wt % fumed R972 silica
particles in a mixture of propylene glycol to water with a 2:5 volume
ratio, dyed with Nile blue, false colored for the sake of clarity)
and the red oil-based foam (10 wt % MP-8T particles in olive
oil, dyed by Nile red). In panels c and d, the silica particles are
trapped at the bubble surfaces. In panel e, the silica particles are
attached to the bubble surfaces and the oil–aqueous–liquid
interface.
(a) Heights of 1.5 wt % R972-stabilized aqueous foam that
increase suddenly with the addition of Nile blue. (b) Aqueous foams
stabilized using Nile blue alone after 10 min and 1 day. (c–e)
Mosaic images of confocal and bright-field micrographs for composite
foams. The yellow aqueous foam (1.5 wt % fumed R972 silica
particles in a mixture of propylene glycol to water with a 2:5 volume
ratio, dyed with Nile blue, false colored for the sake of clarity)
and the red oil-based foam (10 wt % MP-8T particles in olive
oil, dyed by Nile red). In panels c and d, the silica particles are
trapped at the bubble surfaces. In panel e, the silica particles are
attached to the bubble surfaces and the oil–aqueous–liquid
interface.
Conclusions
We have presented a
route for creating mixed foams from the combination
of particle-stabilized oil and water foams. Our approach involves
making a premixed foam that is then subjected to spinning. The premix
remains a foam for many hours. In thin-film form, the spun foam is
found to be an intimate mixture of oil and aqueous foams. Intriguingly,
bubbles that have both regions of oil and aqueous phase around their
periphery can be found. Our results indicate that the inevitable oil–aqueous
interfaces are at least partially covered by surplus silica particles.
Experimental Section
Material
Hydrophobic
fumed silica particles treated
with dimethyldichlorosilane (DDS), Aerosil R972 (specific surface
area of 90–130 m2 g–1,
average particle size of 16 nm), for use in stabilizing aqueous
foams, were supplied by Evonik Industries. Oleophobic polytetrafluoroethylene
(PTFE) particles, Ultraflon MP-8T (specific surface area of 4 m2 g–1, average particle size of 3 μm),
for use in stabilizing oil foams, were supplied by Laurel Products.
Propylene glycol (Aladdin) is used to modify the aqueous solvent.
Ultrapure water was purified by a Milli-Qintegral 10 reagent water
system. The performance of the aqueous solvent, ultrapure water containing
various proportions of propylene glycol, was assessed via the foam
height and droplet contact angle at an air–particle interface.
Olive oil, castor oil, and sunflower oil were supplied by Aladdin
and used either separately or as mixtures. Nile blue and Nile red
used to dye the aqueous and oil phases, respectively, are produced
by Aladdin.
Foam Preparation and Characterization
To prepare particle-stabilized
aqueous foams, R972 particle dispersions were created using a rotating
lab mixer with a rotational speed of 70 rpm (MX-RD-Pro, DragonLab).
The required rotation time depends on the sample concentration; a
1.5 wt % R972 sample needs approximately 30 h, and each
additional 1.0 wt % requires roughly an additional 1 day. For
the preparation of particle-stabilized oil-based foams, MP-8T particles
were first dispersed into oils by using a vortex mixer operating at
∼2500 rpm (Corning) and an ultrasound bath (Kun Shan
Ultrasonic Instruments) alternately for a total of 120 s. Aqueous
and oil-based foams were generated by a rapid 60 s hand-shaking
of their corresponding particle dispersion.External forces
are required when combining different types of foams that do not automatically
mix. Hand-shaking gently (for ∼30 s) provides a suitable force
for premixing the composite foams, and spinning can then promote drainage
and mixing. The samples are spun using a SYSC-100A Spin Coater (Shanghai
SAN-YAN Instrument Co., Ltd.). Photographs of vials and Petri dishes
containing samples were taken with either an iPhone 12 (Apple) or
a P20 (Huawei). All of the confocal micrographs were taken by the
Nikon Eclipse Ti fluorescence microscope. Densities of foams were
determined using a graduated cylinder and an analytical balance (Sartorius).
The liquid fraction of the foams can be estimated by comparing the
density of foams with that of air.
Contact Angle Measurements
By pressing the particles
into the recess on a microscope slide with one circular cavity, one
obtains a smooth particle interface. Contact angles of a liquid droplet
placed on the particle interface in air were determined using a Theta
Flex (Biolin Scientific). The temperature was kept at 20.0 °C.
Liquid droplets with varying volumes (2–10 μL) were placed
on the air–particle interface. For the hydrophobic R972 interface,
droplets are mixtures of ultrapure water and propylene glycol in different
proportions. On the oleophobic MP-8T interface, mixed oils (including
olive oil, sunflower oil, and castor oil) were investigated. For each
sample, the result is the average from four measurements with each
measurement being the average of left and right contact angles.
Authors: Manouk Abkarian; Anand Bala Subramaniam; Shin-Hyun Kim; Ryan J Larsen; Seung-Man Yang; Howard A Stone Journal: Phys Rev Lett Date: 2007-10-31 Impact factor: 9.161