Block Copolymer Assembly via Kinetic Control
Honggang Cui et al.
                               Science 317, 647 (2007);
                               DOI: 10.1126/science.1141768
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                                                                                                                                                                    REPORTS
18. S. C. Greer, Annu. Rev. Phys. Chem. 53, 173 (2002).              of Chemistry (I.M.), and the Natural Sciences and   Materials and Methods
19. See supporting material on Science Online.                       Engineering Research Council of Canada. We thank    Figs. S1 to S6
20. J. Israelachvili, Intermolecular and Surface Forces              I. Herrera for helpful discussions.                 Tables S1 to S4
    (Academic Press, London, ed. 2, 1992), p. 359.
21. Supported by a European Union Marie Curie Chair (I.M.),     Supporting Online Material                               15 February 2007; accepted 22 June 2007
    a Wolfson Research Merit Award from the Royal Society       www.sciencemag.org/cgi/content/full/317/5838/644/DC1     10.1126/science.1141382
Block Copolymer Assembly via                                                                                                 The system we used consists of a linear poly
                                                                                                                         (acrylic acid)-block-poly(methyl acrylate)-block-
Kinetic Control
                                                                                                                         polystyrene (PAA-b-PMA-b-PS) triblock co-
                                                                                                                         polymer, tetrahydrofuran (THF)/water mixed
                                                                                                                         solvents, and organic diamines (Fig. 1A). Various
Honggang Cui,1 Zhiyun Chen,2 Sheng Zhong,1 Karen L. Wooley,2* Darrin J. Pochan1*                                         micelles with different packing geometries, such
                                                                                                                         as disks and toroids, have been constructed using
Block copolymers consist of two or more chemically different polymer segments, or blocks, connected                      this system (4, 22, 27, 28). This multicomponent
by a covalent linkage. In solution, amphiphilic blocks can self-assemble as a result of energetic                        assembly system allows control over the thermo-
repulsion effects between blocks. The degree of repulsion, the lengths of the block segments, and the                    dynamics and kinetics of block copolymer as-
selectivity of the solvent primarily control the resultant assembled morphology. In an ideal situation,                  sembly in the following ways. The selectivity of
one would like to be able to alter the morphology that forms without having to change the chemistry of                   water for PAA allows the manipulation of inter-
                                                                                                                                                                                      Downloaded from www.sciencemag.org on June 10, 2012
the block copolymer. Through the kinetic manipulation of charged, amphiphilic block copolymers in                        facial curvature between the hydrophilic corona
solution, we are able to generate different nanoscale structures with simple block copolymer chemistry.                  and hydrophobic core within a micelle, thus pro-
The technique relies on divalent organic counter ions and solvent mixtures to drive the organization of                  viding a means to control local micelle geometry.
the block copolymers down specific pathways into complex one-dimensional structures. Block                               Organic diamine complexation with chargable
copolymers are increasingly used as templating materials; thus, the ability to control the formation of                  PAA corona blocks influences both intermicellar
specific patterns and structures is of growing interest and applicability.                                               interactions and the intramicellar PAA corona
                                                                                                                         block conformation. By the use of different solvent-
       he broader development of nanoscale                      tration, and temperature) (1–7, 21, 23). However,        mixing protocols, the pathway through which
T      technologies requires methods to fabricate
       and manipulate material at the nanometer-
length scale. This includes techniques that ma-
                                                                the slow kinetics of block copolymers in solution,
                                                                due to the slow exchange of chains between
                                                                micelles because of the higher molecular weight of
                                                                                                                         polymer assembly occurs can be manipulated.
                                                                                                                             The controlled assembly pathway generally
                                                                                                                         begins with diamine complexation with the PAA
nipulate individual atoms or clusters, as well as               the molecules, hinders assembled structures from         block in pure THF solution producing PAA-
materials that will self-assemble into organized                reaching global equilibrium states (21, 24–26).          diamine aggregates. Subsequent addition of water
patterns, often through solution-based processes.               We specifically take advantage of this lack of           has the combined effect of aggregating the hydro-
Molecules with varying chemical interactions are                global equilibrium in amphiphilic charged block          phobic PMA and PS blocks while concurrently
needed to drive the assembly, and this has been                 copolymers to produce complex, one-dimensional           swelling and eventually solubilizing the PAA-
accomplished in block copolymers (1–7), surfac-                 nanostructures. The block copolymers are con-            diamine complexes into micelle coronas. The
tants (8), proteins (9), DNA (10, 11), peptides                 trollably forced down specific assembly pathways         combination of the PAA-diamine complexation
(12, 13), peptide amphiphiles (14), and polypep-                through a combination of solvent mixing and the          with subsequent solvent mixing produces a unique
tides (15). This broad range of molecules was                   complexation of a charged, hydrophilic block             block copolymer assembly pathway resulting in
needed to tailor nanostructures with potential im-              with divalent, organic counterions. The resultant        the nanostructures displayed in Figs. 1, B and C.
pact on disparate, emerging fields such as nano-                assemblies are kinetically trapped but stable be-        The cylindrical nanostructures consist of PAA94-b-
medicine (14), organic photovoltaics (16, 17),                  cause of the inability of the system to thermody-        PMA103-b-PS44 with 2,2'-(ethylenedioxy)di-
and self-assembled spintronics (18, 19) or opto-                namically equilibrate.                                   ethylamine (EDDA) as a diammonium counterion
electronic devices (11, 20).
    Linear triblock copolymers, produced with
common polymerization techniques, provide an                    Fig. 1. (A) Molecular       A             PAA-b-PMA-b-PS               Organic diamine, EDDA
opportunity to develop self-assembly strategies                 structures of triblock                        94     103
                                                                                                                            Br
                                                                                                                           44
                                                                                                                                      NH2              O
for complex nanostructure formation that do not                 copolymer, PAA-b-PMA-                                                          O            NH2
                                                                b-PS, and organic di-              O    O HO   O O    O
necessarily require the altering of the molecule
chemistry to create a wide range of structures.                 amine (EDDA). (B and C)
The chemical tunability of amphiphilic block co-                TEM images of one-
                                                                dimensional assembled       B                                     C
polymers has been used previously to produce
micelles and nanostructures in solution (1–7, 21, 22).          structures of PAA94-b-
Polymeric micelle size and shape can be designed                PMA103-b-PS44 at 67%
                                                                THF/water solution in the
through monomer selection, chain architecture
                                                                presence of EDDA (molar
design, and variation of solution conditions (e.g.,
                                                                ratio of amine groups:
solvent mixtures, pH manipulation, salt concen-                 acid groups = 1:1). The
1
                                                                samples were stained
  Department of Materials Science and Engineering and           with uranyl acetate aque-
Delaware Biotechnology Institute, University of Delaware,
Newark, Delaware 19716, USA. 2Center for Materials
                                                                ous solution. (B, insert)
Innovation, Department of Chemistry and Department of           Schematic drawing of
Radiology, Washington University in Saint Louis, Saint Louis,   cross section of one-
Missouri 63130, USA.                                            dimensional assembled
*To whom correspondence should be addressed. E-mail:            structures. PMA-PS stripes are illustrated as gray and dark blue bands. Light blue bands denote PAA
klwooley@artsci.wustl.edu (K.L.W.); Pochan@udel.edu (D.J.P.)    concentrated area. EDDA, which is complexed with the PAA block, is not drawn for clarity.
                                                 www.sciencemag.org              SCIENCE          VOL 317         3 AUGUST 2007                                                 647
REPORTS
      by interaction with the acrylic acid residues of the      hydrophobic core domains and the hydration of              proposed mechanism. Upon quick introduction of
      PAA [see table S1 and (29) for block copolymer            PAA-diamine into the corona. At high water con-            THF, the local packing geometry of isolated
      molecular details]. The periodic stripes perpendic-       tent (THF:water = 1:4), stable, spherical micelles         micelles changes before intermicellar aggregation
      ular to the cylinder axes indicate the alternating        formed (Fig. 2A). THF was then pipetted into the           takes place. Because local chain adjustment is a
      layers of hydrophilic PAA complexed with EDDA             spherical micelle solution to produce a final              much faster process than intermicellar interactions,
      and hydrophobic PMA-PS domains. The dark                  volumetric ratio of THF:water = 2:1. During the            oblate spheres or discoidal micelles form with the
      stripes are PAA layers that are positively stained        original slow addition of water to the block               addition of THF (Fig. 2C, step 1). Although the
      as a result of uranyl cations interacting with car-       copolymer/diamine/THF solution, a 2:1 THF:water            local flat interfacial curvature is desired in the
      boxylic acid side chains of the PAA. The light            ratio produced block copolymer droplets with               system, the resultant dispersed structures are not
      stripes are composed of PS and PMA hydrophobic            local lamellar structure (22). By forcing the sys-         stable in the low-water-content solution and
      segments with a thickness of ~20 nm (Fig. 1B,             tem back to this solvent composition, the spherical        undergo aggregation. However, the aggregation
      inset).It is notable that this assembly is not a typ-     block copolymer micelles were forced to aggre-             is one-dimensional because the disklike micelles
      ical hydrophobic core/hydrophilic corona micelle          gate into a locally ordered lamellar nanostruc-            have PAA-diamine faces that experience long-
      but rather a cylinder with alternating layers of          ture. Transmission electron microscopy (TEM)               range, attractive electrostatic interactions with
      hydrophilic and hydrophobic components arranged           images taken immediately after the THF addition            other diamine-rich PAA faces in high THF content
      perpendicular to the cylinder axis.                       demonstrated that all of the micelles polymerized          solution. [See figs. S1 to S4 and (29) for data and
           The specific assembly pathway to produce the         along a preferred growth axis (Fig. 2B). Further           accompanying discussion about the electrostatic
      striped cylinders is as follows. PAA94-b-PMA103-          aging for several hours allowed additional one-            nature of the interactions between the PAA blocks
      b-PS44 was first dissolved in THF to form a 0.1           dimensional growth of these structures into long           and the multivalent amine counterions.] Direct
                                                                                                                                                                                   Downloaded from www.sciencemag.org on June 10, 2012
      weight percent homogeneous solution. Next,                (up to microns in length) structures with uniform          visualization of several separate disklike micelles
      EDDA was added to give a molar ratio of amine             widths as shown in Fig. 1, B and C.                        in the intermediate assembly stage can be seen in
      group:acid group = 1:1. The EDDA complexed                    In amphiphilic block copolymer dilute so-              Fig. 2D, as marked by black arrows, supporting
      with the PAA block affording PAA-diamine                  lutions, two kinetic processes are possible in             the concept that these segmented cylinders are
      aggregates. Water was then added slowly (~8 ml            response to solvent compositional changes. One             formed by one-dimensional collapse of discoidal
      water per hour added to 20-ml THF block                   is a relatively fast intramicellar process of ob-          micelles. In addition, the diameter and volume of
      copolymer solution with a syringe pump) both to           taining local preferred interfacial curvature in           each cylindrical segment is comparable to the di-
      initiate aggregation of the hydrophobic blocks and        isolated micelles through fast local chain adjust-         mensions of the separate spherical micelles before
      to solubilize the PAA-diamine complexes. This             ment. The second is the relatively slow process of         aggregation, further supporting the transition
      slow addition of water first caused polymer phase         reaching a global equilibrium by means of inter-           mechanism. Branching appears as growth defects,
      separation into polymer-rich domains with a local         micellar interactions [through infrequent inter-           as observed in Fig. 2, E and F. Theoretical predic-
      lamellar nanostructure due to phase segregation of        micellar single-chain exchange (21, 24, 25) or             tion has shown that branching could occur in the
      unlike blocks (22). Once sufficient water was             micelle fusion or fission]. When combined, the             one-dimensional aggregation of dipolar fluids
      added, the phase-separated polymer droplets were          mismatch of the two kinetic processes can produce          when construction of a branch provides a lower
      solublized into discrete micelles through the             the well-defined hierarchical structure in Fig. 1, B       free energy than the formation of a free chain end
      segregation of the hydrophobic blocks into                and C, and Fig. 2C schematically demonstrates the          (30). In the current work, branching probably oc-
             All scale bars: 200nm
                                                              Addition of THF                                    Anisotropic growth
                        Spherical micelles                                                   Disklike micelles                         One-dimensional packing
      Fig. 2. (A) Spherical micelles of PAA94-b-PMA103-b-PS44 formed at the 1:4                mechanism of spherical micelles. Sphere-disk transition occurred first as THF was
      ratio of THF to water in the presence of EDDA (molar ratio of amine groups:acid          introduced. Anisotropic shape of disk-like micelles allows for one-dimensional
      groups = 1:1). (B) TEM image of one-dimensional aggregation of spherical                 preferred growth. Inserted schematic illustrates proposed chain packing of
      micelles immediately after introducing THF into original solution to reach a 2:1         spherical micelles, disklike micelles and one-dimensional packing structures. (D)
      final ratio of THF to water. Further growth of these short structures led to a giant     Separate disklike micelles marked as black arrow. (E and F) Branches appear as
      one-dimensional supra-assembly, as shown in Fig. 1, B and C. (C) Growth                  growth defect. The samples were stained with uranyl acetate aqueous solution.
648                                               3 AUGUST 2007            VOL 317           SCIENCE      www.sciencemag.org
                                                                                                                                                                  REPORTS
curs because of polydispersity in size and shape of             could be polydispersity in the sizes of disks, with   immersing assembled one-dimensional structures
assembling micelle units. As intermicellar interac-             slightly larger disks having more PAA-diamine         into primary amine-coated gold nanoparticle
tion proceeds, there is a chance that some spherical            surface area, so that two additional disks could      aqueous suspension for several minutes. Dark
micelles do not have enough time to adjust their                assemble, thus forming a branch.                      stripes in Fig. 3, A and B, are due to the high
packing geometry before assembling into a                           The periodic spacing of PAA was then used as      electron density of gold nanoparticle–rich PAA
growing cylinder. This curved surface could then                a template to interact with oppositely charged in-    regions. Lattice fringes of gold nanoparticle single
allow two disklike micelles to attach, forming a                organic nanoparticles to construct periodic hybrid    crystals can be clearly seen in high-resolution
branch. An alternative branching mechanism                      materials. Hybrid superstructures were created by     TEM imaging (Fig. 3C). In high-angle annular
                                                                                                                      dark-field (HAADF) imaging, the gold stripes are
Fig. 3. TEM images of                                                                                                 visualized as parallel bright lines (Fig. 3, D and E).
directed gold nanoparticle                                                                                                Another advantage of using charged corona
assembly in the charged                                                                                               blocks is that multivalent counterions, such as
PAA region. (A and B)                                                                                                 functionalized inorganic nanoparticles, can be used
Bright-field images. Dark                                                                                             to influence local micelle structure and act as
stripes are concentrated                                                                                              the stimulus for the formation of one-dimensional
gold nanoparticle areas.                                                                                              segmented nanostructures. This approach may be
Insert shows proposed                                                                                                 used in concert with, or as an alternative to, the
structures. Yellow dots de-                                                                                           addition of solvent. If the block copolymer is
note gold nanoparticles.                                                                                              designed correctly, when spherical micelles come
                                                                                                                                                                                     Downloaded from www.sciencemag.org on June 10, 2012
(C) High-resolution TEM
                                                                                                                      into contact with functionalized inorganic nano-
(HRTEM) imaging of lat-
                                                                                                                      particles, they should transform into disks that
tice structure of gold single
crystals. (D and E) high-                                                                                             attractively collapse into segmented cylinders.
angle annular dark field                                                                                              This concept has been implemented with the
(HAADF) imaging of peri-                                                                                              addition of positively charged gold nanoparticles
odic gold stripes. Gold                                                                                               into a 50% THF/water suspension of PAA94-b-
particles appear as bright                                                                                            PMA103-b-PS130 spherical micelles, assembled
stripes. (F) TEM image of                                                                                             without added diamine. Each gold nanoparticle
periodic gold stripes                                                                                                 had, on average, six primary amine groups on
when polyamine func-                                                                                                  the surface and functioned as a multivalent
tionalized gold particles                                                                                             counterion to complex with PAA. When they
are used as counterions.                                                                                              were added to the block copolymer spheres, the
                                                                                                                      spheres collapsed into one-dimensional struc-
                                                                                                                      tures with alternating stripes of gold nano-
                                                                                                                      particle–rich layers and hydrophobic layers,
                                                                                                                      both perpendicular to the primary axis of the
                                                                                                                      assembly. The distance between PAA gold-laden
                                                                                                                      stripes was then 40 nm, as compared to approx-
                                                                                                                      imately 20 nm between PAA layers for the
                                                                                                                      sample in Fig. 1, B and C. This increased inter-
                                                                                                                      layer spacing was due to the increase of the PS
                                                                                                                      block length to 130 from 44 monomer repeat
                                                                                                                      units. Apparently, the structures shown in Fig. 3F
                                                                                                                      were not a consequence of pure one-dimensional
                                                                                                                      growth of spherical micelles, because the diameter
                                                                                                                      of the final cylindrical structures is about twice as
                                                                                                                      large as the original spherical micelles. However,
                                                                                                                      the addition of charged gold nanoparticles was able
                                                                                                                      to influence the assembly of spheres in a preferred
                                                                                                                      direction. The multivalent functionalized nanopar-
                                                                                                                      ticle can be chosen independently, and the spac-
                                                                                                                      ing between inorganic-rich layers of the final
                                                                                                                      one-dimensional assembly can be tuned by choos-
        G                  94    103
                                               Br
                                              117
                                                                                                                      ing different relative polymer block lengths.
               O   O HO    O O       O                                                                                    By taking advantage of slow kinetics of block
                                                                                                                      copolymer chains in solution and the complexation
                                                                                                                      of charged blocks with multivalent counterions,
                                             Br
                          93     99
                                  F
                                             100
                                                   F
                                                                                                                      one can also produce complex micelles containing
               O   O HO   O O    O                                                                                    multiple hydrophobic blocks within the same
                                 F                 F                                                                  micelle core that can undergo local, intramicellar
                                         F
                                                                                                                      phase separation. To obtain a single polymeric
Fig. 4. Nanostructured multicompartment cylinders. (A and B) Bright-field TEM images. Dark regions                    micelle geometry, such as cylinders, with each
present polypentafluorostyrene-chain rich area, (C and D) HAADF images of cylindrical micelles with                   micelle core constituted by multiple hydrophobic
internal phase-separated cores. (E) Cryogenic TEM (cryo-TEM) image of uniform cylindrical micelle at                  blocks, at least two different, linear triblock
40% water/THF solution. (F) Cryo-TEM image of cylindrical micelles with internal phase-separated cores                copolymers are required, with similar overall
at 67% water/THF solution. (G) Schematic illustration of formation of multicompartment cylinders.                     molecular weight and relative block ratios but
                                                       www.sciencemag.org      SCIENCE        VOL 317       3 AUGUST 2007                                                      649
REPORTS
      different core block chemistry. The key point for      could be observed as the water percentage                        9. P. Ringler, G. E. Schulz, Science 302, 106 (2003).
      choosing the different chemistries of the two          increased to 67% (Fig. 4F). Reports in the                      10. P. W. K. Rothemund, Nature 440, 297 (2006).
                                                                                                                             11. C. A. Mirkin, R. L. Letsinger, R. C. Mucic, J. J. Storhoff,
      hydrophobic blocks is that the two blocks              literature have shown similar undulating cylinder                   Nature 382, 607 (1996).
      experience a high degree of mutual immiscibility.      morphologies through polymer blending, but                      12. J. Cornelissen et al., Science 293, 676 (2001).
      In the current experiment, polystyrene (PS) and        with, at most, only three periods of undulation                 13. J. P. Schneider et al., J. Am. Chem. Soc. 124, 15030 (2002).
      poly(2,3,4,5,6-pentafluorostyrene) (PPFS) were         that always started from semispherical end caps                 14. G. A. Silva et al., Science 303, 1352 (2004).
                                                                                                                             15. A. P. Nowak et al., Nature 417, 424 (2002).
      employed as the different, third hydrophobic           (21). Clearly, the undulations shown here are not               16. W. U. Huynh, J. J. Dittmer, A. P. Alivisatos, Science 295,
      blocks in the two triblock copolymers (PAA94-b-        exclusively correlated with the spherical end caps                  2425 (2002).
      PMA 103 -b-PS 117 and PAA 93 -b-PMA 99 -b-             and are obvious throughout the length of the                    17. L. Schmidt-Mende et al., Science 293, 1119 (2001).
      PPFS100) (29). Equal molar amounts of the two          cylinders. Safran et al. have demonstrated that                 18. O. Kahn, C. J. Martinez, Science 279, 44 (1998).
                                                                                                                             19. M. Ouyang, D. D. Awschalom, Science 301, 1074 (2003).
      triblock copolymers with different respective third    the curvature energy of a cylinder with undu-                   20. V. Percec et al., Nature 419, 384 (2002).
      blocks were dissolved in pure THF. EDDA was            lations could be lower than that of a nonundulat-               21. S. Jain, F. S. Bates, Macromolecules 37, 1511 (2004).
      then added to reach a final 1:1 molar ratio of amine   ing cylinder (31). However, the undulations                     22. H. G. Cui, Z. Y. Chen, K. L. Wooley, D. J. Pochan,
      groups to acid groups. The diamines underwent          observed here, although locally induced by                          Macromolecules 39, 6599 (2006).
                                                                                                                             23. T. P. Lodge, Macromol. Chem. Phys. 204, 265 (2003).
      complexation with the PAA blocks, thereby              unfavorable energetic interactions between PPFS
                                                                                                                             24. R. Lund, L. Willner, D. Richter, E. E. Dormidontova,
      forming aggregates with PAA-diamine cores.             and PS, are only possible kinetically because of                    Macromolecules 39, 4566 (2006).
      Notably, these aggregates contained each of the        the forced mixing of unlike hydrophobic core                    25. Y. Y. Won, H. T. Davis, F. S. Bates, Macromolecules 36,
      triblock copolymers with both PS and PPFS              blocks as a result of PAA complexing with                           953 (2003).
      hydrophobic blocks because of the simple trapping      diamines and a specific solvent-mixing pathway.                 26. E. E. Dormidontova, Macromolecules 32, 7630 (1999).
                                                                                                                                                                                                Downloaded from www.sciencemag.org on June 10, 2012
                                                                                                                             27. Z. Y. Chen et al., J. Am. Chem. Soc. 127, 8592 (2005).
      of unlike hydrophobic blocks in the same                    Both the multicompartment cylinders with                   28. Z. B. Li et al., Langmuir 21, 7533 (2005).
      aggregate by PAA-diamine complexation. Next,           phase-separated cores and the cylindrical nano-                 29. Materials and methods are available as supporting
      introduction of water into the THF solution to a       structures with alternating layers of chemistry                     material on Science Online.
      final ratio of THF:water = 1:2 provided for the        perpendicular to the cylinder axis are results of a             30. T. Tlusty, S. A. Safran, Science 290, 1328 (2000).
                                                                                                                             31. S. A. Safran, Statistical Thermodynamics of Surfaces,
      formation of cylindrical micelles. However, the        solution assembly strategy to create structures with                Interfaces, and Membranes (Addison-Wesley,
      existence of the original mixed triblock copolymer     increased complexity with standard linear block                     New York, 1994).
      aggregates, as a result of PAA and diamine             copolymer architectures and chemistries. The key                32. We thank NSF for funding, specifically the Nanoscale
      complexation, forced the local co-assembly of          parameters are the combination of charged block                     Interdisciplinary Research Teams program under grant
                                                                                                                                 DMR-0210247. Any opinions, findings, conclusions, or
      unlike third hydrophobic blocks into the same          interactions with multivalent counterions to influ-                 recommendations expressed in this material are those of
      micelle core. In addition, the lack of chain           ence both intra- and intermicellar interactions and                 the authors and do not necessarily reflect the views of
      exchange in solution that disallows global chain       solvent mixing to control the assembly pathways.                    NSF. We also thank the W. M. Keck College of
      migration and maintains nonequilibrated micelle                                                                            Engineering electron microscopy laboratory at the
                                                                 References and Notes                                            University of Delaware and the nuclear magnetic
      structures, combined with the fact that the PAA
                                                              1. Z. B. Li, E. Kesselman, Y. Talmon, M. A. Hillmyer,              resonance facilities of the Department of Chemistry at
      chains in the corona of the newly formed micelles                                                                          Washington University in Saint Louis.
                                                                 T. P. Lodge, Science 306, 98 (2004).
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      freely mobile within the micelle, guarantee the         3. B. M. Discher et al., Science 284, 1143 (1999).             www.sciencemag.org/cgi/content/full/317/5838/647/DC1
      stability of the mixed-core micelle. The im-            4. D. J. Pochan et al., Science 306, 94 (2004).                Materials and Methods
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                                                                 10381 (2002).                                               Table S1
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      solution of mixed hydrophobic core cylinders.
      Internal phase separation is clearly indicated by
      the strong undulations along the cylinder surfaces
      and the TEM contrast variation along the               Capillary Wrinkling of Floating
                                                             Thin Polymer Films
      cylinders. The larger, darker, and more spherical
      regions within the cylinders are hypothesized to
      be regions that are concentrated in PAA94-b-
      PMA103-b-PPFS100 triblock copolymer. First,            Jiangshui Huang,1,2 Megan Juszkiewicz,1 Wim H. de Jeu,2,3 Enrique Cerda,4 Todd Emrick,2
      there is a higher interfacial energy between PPFS      Narayanan Menon,1* Thomas P. Russell2*
      and PMA, relative to PS and PMA, causing more
      chain stretching within PPFS-rich core domains         A freely floating polymer film, tens of nanometers in thickness, wrinkles under the capillary force
      so as to limit PPFS interactions with surrounding      exerted by a drop of water placed on its surface. The wrinkling pattern is characterized by the
      PMA blocks. Second, the greater electron density       number and length of the wrinkles. The dependence of the number of wrinkles on the elastic
      of the PPFS block provides a greater ability to        properties of the film and on the capillary force exerted by the drop confirms recent theoretical
      scatter electrons and produce darker images in         predictions on the selection of a pattern with a well-defined length scale in the wrinkling
      the TEM. The thinner region of the undulating          instability. We combined scaling relations that were developed for the length of the wrinkles with
      cylinder would then be occupied primarily by           those for the number of wrinkles to construct a metrology for measuring the elasticity and
      PAA93-b-PMA99-b-PS117 (Fig. 4G). This internal         thickness of ultrathin films that relies on no more than a dish of fluid and a low-magnification
      cylinder phase separation only occurred at             microscope. We validated this method on polymer films modified by plasticizer. The relaxation of
      relatively higher amounts of water in the mixed        the wrinkles affords a simple method to study the viscoelastic response of ultrathin films.
      solvent solutions. Cryo-TEM showed uniform
      cylinders without undulation on the surface at                hin sheets are much more easily bent than                deform out of plane to form wrinkles. This is an
      only 40% water/THF solution after 4 days (Fig.
      4E). However, multicompartment cylinders               T      stretched by external forces. Even under
                                                                    purely planar tension, a sheet will often
                                                                                                                             everyday phenomenon that can be seen on our
                                                                                                                             skin as it is stretched by smiling, scars, or age;
650                                             3 AUGUST 2007           VOL 317         SCIENCE           www.sciencemag.org