Patchy particles by selfassembly of star copolymers on a spherical substrate : Thomson solutions in a geometric problem with a color constraint
(2019) In Soft Matter 15(46). p.93949404 Abstract
Confinement or geometric frustration is known to alter the structure of soft matter, including copolymeric melts, and can consequently be used to tune structure and properties. Here we investigate the selfassembly of ABC and ABB 3miktoarm star copolymers confined to a spherical shell using coarsegrained dissipative particle dynamics simulations. In bulk and flat geometries the ABC stars form hexagonal tilings, but this is topologically prohibited in a spherical geometry which normally is alleviated by forming pentagonal tiles. However, the molecular architecture of the ABC stars implies an additional 'color constraint' which only allows even tilings (where all polygons have an even number of edges) and we study the effect of these... (More)
Confinement or geometric frustration is known to alter the structure of soft matter, including copolymeric melts, and can consequently be used to tune structure and properties. Here we investigate the selfassembly of ABC and ABB 3miktoarm star copolymers confined to a spherical shell using coarsegrained dissipative particle dynamics simulations. In bulk and flat geometries the ABC stars form hexagonal tilings, but this is topologically prohibited in a spherical geometry which normally is alleviated by forming pentagonal tiles. However, the molecular architecture of the ABC stars implies an additional 'color constraint' which only allows even tilings (where all polygons have an even number of edges) and we study the effect of these simultaneous constraints. We find that both ABC and ABB systems form spherical tiling patterns, the type of which depends on the radius of the spherical substrate. For small spherical substrates, all solutions correspond to patterns solving the Thomson problem of placing mobile repulsive electric charges on a sphere. In ABC systems we find three coexisting, possibly different tilings, one in each color, each of them solving the Thomson problem simultaneously. For all except the smallest substrates, we find competing solutions with seemingly degenerate free energies that occur with different probabilities. Statistically, an observer who is blind to the differences between B and C can tell from the structure of the A domains if the system is an ABC or an ABB star copolymer system.
(Less)
 author
 Hain, Tobias M. ; SchröderTurk, Gerd E. and Kirkensgaard, Jacob J.K.
 publishing date
 20191214
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Soft Matter
 volume
 15
 issue
 46
 pages
 11 pages
 publisher
 Royal Society of Chemistry
 external identifiers

 pmid:31595280
 scopus:85075754492
 ISSN
 1744683X
 DOI
 10.1039/c9sm01460h
 language
 English
 LU publication?
 no
 id
 cf902ae56d274eaa93abb64c792d8730
 date added to LUP
 20191216 14:14:37
 date last changed
 20200113 02:36:33
@article{cf902ae56d274eaa93abb64c792d8730, abstract = {<p>Confinement or geometric frustration is known to alter the structure of soft matter, including copolymeric melts, and can consequently be used to tune structure and properties. Here we investigate the selfassembly of ABC and ABB 3miktoarm star copolymers confined to a spherical shell using coarsegrained dissipative particle dynamics simulations. In bulk and flat geometries the ABC stars form hexagonal tilings, but this is topologically prohibited in a spherical geometry which normally is alleviated by forming pentagonal tiles. However, the molecular architecture of the ABC stars implies an additional 'color constraint' which only allows even tilings (where all polygons have an even number of edges) and we study the effect of these simultaneous constraints. We find that both ABC and ABB systems form spherical tiling patterns, the type of which depends on the radius of the spherical substrate. For small spherical substrates, all solutions correspond to patterns solving the Thomson problem of placing mobile repulsive electric charges on a sphere. In ABC systems we find three coexisting, possibly different tilings, one in each color, each of them solving the Thomson problem simultaneously. For all except the smallest substrates, we find competing solutions with seemingly degenerate free energies that occur with different probabilities. Statistically, an observer who is blind to the differences between B and C can tell from the structure of the A domains if the system is an ABC or an ABB star copolymer system.</p>}, author = {Hain, Tobias M. and SchröderTurk, Gerd E. and Kirkensgaard, Jacob J.K.}, issn = {1744683X}, language = {eng}, month = {12}, number = {46}, pages = {93949404}, publisher = {Royal Society of Chemistry}, series = {Soft Matter}, title = {Patchy particles by selfassembly of star copolymers on a spherical substrate : Thomson solutions in a geometric problem with a color constraint}, url = {http://dx.doi.org/10.1039/c9sm01460h}, doi = {10.1039/c9sm01460h}, volume = {15}, year = {2019}, }