Diblock copolymers blended with homopolymer may self-assemble into spherical, cylindrical, or lamellar aggregates. Transitions between these structures may be driven by varying the homopolymer diblock molecular weight or composition. Using self-consistent field theory (SCFT), we reproduce these effects. Our results are compared to x-ray scattering and transmission electron microscopy measurements by Kinning et al. and good agreement is found, although the tendency to form cylindrical and lamellar structures is sometimes overestimated due to our neglect of edge effects due to the finite size of these aggregates. Our results demonstrate that SCFT can provide detailed information on the self-assembly of isolated block copolymer aggregates.

1.
I. W.
Hamley
,
Block Copolymers in Solution: Fundamentals and Applications
(
Wiley
,
New York
,
2005
).
2.
D.
Zschech
,
A. P.
Milenin
,
R.
Scholz
,
R.
Hillebrand
,
Y.
Sun
,
P.
Uhlmann
,
M.
Stamm
,
M.
Steinhart
, and
U.
Goesele
,
Macromolecules
40
,
7752
(
2007
).
3.
S.
Jain
and
F. S.
Bates
,
Science
300
,
460
(
2003
).
4.
S. A.
Safran
,
Statistical Thermodynamics of Surfaces, Interfaces, and Membranes
(
Westview
,
Boulder
,
1994
).
5.
Y.
Kim
,
P.
Dalhaimer
,
D. A.
Christian
, and
D. E.
Discher
,
Nanotechnology
16
,
S484
(
2005
).
6.
G.
Battaglia
and
A. J.
Ryan
,
J. Phys. Chem. B
110
,
10272
(
2006
).
7.
M. W.
Matsen
,
Soft Matter
(
Wiley
,
New York
,
2006
), Chap. 2.
8.
X. -J.
Li
and
M.
Schick
,
Biophys. J.
78
,
34
(
2000
).
9.
P.
Maniadis
,
T.
Lookman
,
E. M.
Kober
, and
K. O.
Rasmussen
,
Phys. Rev. Lett.
99
,
048302
(
2007
).
10.
G. H.
Fredrickson
,
V.
Ganesan
, and
F.
Drolet
,
Macromolecules
35
,
16
(
2002
).
11.
D.
Duque
,
J. Chem. Phys.
119
,
5701
(
2003
).
12.
D. J.
Kinning
,
K. I.
Winey
, and
E. L.
Thomas
,
Macromolecules
21
,
3502
(
1988
).
13.
R. A. L.
Jones
,
Soft Condensed Matter
(
Oxford University Press
,
New York
,
2002
).
14.
Polymer Handbook
, edited by
J.
Brandrup
and
E. H.
Immergut
(
Wiley
,
New York
,
1989
).
15.
F. A. M.
Leermakers
,
C. M.
Wijmans
, and
G. J.
Fleer
,
Macromolecules
28
,
3434
(
1995
).
16.
F. A. M.
Leermakers
and
J. M. H. M.
Scheutjens
,
J. Colloid Interface Sci.
136
,
231
(
1990
).
17.
P.
Linse
,
Macromolecules
26
,
4437
(
1993
).
18.
M. J.
Richardson
and
N. G.
Savill
,
Polymer
18
,
3
(
1977
).
19.
D. J.
Kinning
,
E. L.
Thomas
, and
L. J.
Fetters
,
Macromolecules
24
,
3893
(
1991
).
20.
R. -J.
Roe
,
Macromolecules
19
,
728
(
1986
).
21.
R. -J.
Roe
and
W. -C.
Zin
,
Macromolecules
13
,
1221
(
1980
).
22.
S. F.
Edwards
,
Proc. Phys. Soc. London
85
,
613
(
1965
).
23.
G. H.
Fredrickson
,
The Equilibrium Theory of Inhomogeneous Polymers
(
Oxford University Press
,
New York
,
2006
).
24.
F. S.
Bates
and
G. H.
Fredrickson
,
Annu. Rev. Phys. Chem.
41
,
525
(
1990
).
25.
M. W.
Matsen
,
J. Chem. Phys.
121
,
1938
(
2004
).
26.
W. H.
Press
,
B. P.
Flannery
,
S. A.
Teukolsky
, and
W. T.
Vetterling
,
Numerical Recipes in C
, 2nd ed. (
Cambridge University Press
,
Cambridge, England
,
1992
).
27.
A.
Cavallo
,
M.
Müller
, and
K.
Binder
,
Macromolecules
39
,
9539
(
2006
).
28.
B.
van Lent
and
J. M. H. M.
Scheutjens
,
Macromolecules
22
,
1931
(
1989
).
29.
A. M.
Mayes
and
M. O.
de la Cruz
,
Macromolecules
21
,
2543
(
1988
).
30.
L.
Leibler
,
H.
Orland
, and
J. C.
Wheeler
,
J. Chem. Phys.
79
,
3550
(
1983
).
31.
D.
Duque
and
P.
Tarazona
,
J. Chem. Phys.
107
,
10207
(
1997
).
32.
J. -P.
Hansen
and
I. R.
McDonald
,
Theory of Simple Liquids
, 3rd ed. (
Academic
,
New York
,
2006
).
33.
M. J.
Greenall
,
D. M. A.
Buzza
, and
T. C. B.
McLeish
,
Macromolecules
(
2009
) (to be published).
34.
W.
Burchard
,
Adv. Polym. Sci.
48
,
1
(
1983
).
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