Entropic effects in the self-assembly of open lattices from patchy particles.

@article{Mao2013EntropicEI,
  title={Entropic effects in the self-assembly of open lattices from patchy particles.},
  author={Xiaoming Mao},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 6},
  pages={
          062319
        }
}
  • Xiaoming Mao
  • Published 2 March 2013
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Open lattices are characterized by low-volume-fraction arrangements of building blocks, low coordination number, and open spaces between building blocks. The self-assembly of these lattices faces the challenge of mechanical instability due to their open structures. We theoretically investigate the stabilizing effects of entropy in the self-assembly of open lattices from patchy particles. A preliminary account of these findings and their comparison to experiment was presented recently [Mao, Chen… 
Self-assembly of three-dimensional open structures using patchy colloidal particles.
TLDR
The theory leads to rational designs of particles for the self-assembly of three-dimensional colloidal structures that are possible using current experimental techniques and characterize the mechanical properties of these structures.
Shape-driven entropic self-assembly of an open, reconfigurable, binary host-guest colloidal crystal.
TLDR
This work reports the self-assembly of a two-dimensional binary mixture of hard particles into an open host-guest structure, where nonconvex, triangular host particles form a honeycomb lattice that encapsulates smaller guest particles.
Kinetics-controlled design principles for two-dimensional open lattices using atom-mimicking patchy particles.
TLDR
An atom-mimicking design concept to achieve direct self-assembly of two-dimensional low-coordinated open lattices using three-dimensional patchy particle systems is presented and it is indicated that the kinetically favoured intermediates play a critical role in determining the structure of obtainedOpen lattices.
Self-assembly of kagome lattices, entangled webs and linear fibers with vibrating patchy particles in two dimensions.
TLDR
A vibrating version of patchy particles in two dimensions is introduced to study self-assembly of kagome lattices, disordered networks of looping structures, and linear arrays to test and develop theories about the relative stability, kinetics of formation and mechanical response of the observed morphologies.
Synthesis and Self-Assembly of Janus and Triblock Patchy Particles
Abstract The emergence of order from disorder is a common theme in nature—the formation of cell membranes from phospholipids, the crystallization of water molecules into snowflakes, and the
Self-assembled multi-layer simple cubic photonic crystals of oppositely charged colloids in confinement.
TLDR
By using computer simulation, this work systematically investigates the self-assembly of oppositely charged colloidal hard spheres confined between two parallel hard walls, and finds that the confinement can stabilize multi-layer NaCl-like (simple cubic) open crystals.
Role of Entropy in Colloidal Self-Assembly
TLDR
The role of shape entropy and depletion interactions in colloidal self-assembly, the effect of entropy in the formation of open and closed crystalline structures, as well as recent advances in engineering entropy to achieve targeted self-assembled structures are discussed.
Density dependence of orientational order in one-patch particles.
TLDR
This study demonstrates the sensitivity of the ordering mechanism and the resulting order to the packing density, where the effect of such a tiny shape anisotropy is clearly observable owing to the patch opacity.
Entropy Stabilizes Floppy Crystals of Mobile DNA-Coated Colloids.
TLDR
It is demonstrated that these floppy phases are stabilized by vibrational entropy, and "floppy" modes play an important role in stabilizing the floppy phases for the infinite binding strength limit.
Quasi-periodic and periodic photonic crystals : A simulation study of their self-assembly, stability and photonic properties
In this thesis we study the self-assembly, stability and photonic properties of colloidal photonic crystals. We show that stable photonic crystals can be self-assembled using spherical colloidal
...
1
2
...

References

SHOWING 1-10 OF 131 REFERENCES
Entropy favours open colloidal lattices.
TLDR
An analytical theory based on lattice dynamics and supported by experiments that reveals the fundamental role entropy can play in stabilizing open lattices is described.
Directed self-assembly of a colloidal kagome lattice
TLDR
This paper shows how colloidal spheres can be induced to self-assemble into a complex predetermined colloidal crystal—in this case a colloidal kagome lattice—through decoration of their surfaces with a simple pattern of hydrophobic domains, and encodes the target supracolloidal architecture.
Surface phonons, elastic response, and conformal invariance in twisted kagome lattices
TLDR
Elasticity and phonons of a special class of two-dimensional isostatic lattices constructed by distorting the kagome lattice are explored and it is shown that the phonon structure of these lattices, characterized by vanishing bulk moduli and thus negative Poisson ratios, depends sensitively on boundary conditions and on the nature of the k Kagome distortions.
Isostaticity, auxetic response, surface modes, and conformal invariance in twisted kagome lattices
Model lattices consisting of balls connected by central-force springs provide much of our understanding of mechanical response and phonon structure of real materials. Their stability depends
Patterning symmetry in the rational design of colloidal crystals.
TLDR
This work shows that the rational design of patch shape and symmetry can drive patchy colloids to crystallize in a single, selected morphology by structurally eliminating undesired polymorphs, and provides a proof through the numerical investigation of triblock Janus colloids.
Inverse optimization techniques for targeted self-assembly
TLDR
This article reviews recent inverse statistical-mechanical methodologies that have devised to optimize interaction potentials in soft matter systems that correspond to stable “target” structures and envision being able to “tailor” potentials that produce varying degrees of disorder, thus extending the traditional idea of self-assembly to incorporate both amorphous and crystalline structures as well as quasicrystals.
Phase behaviour of concentrated suspensions of nearly hard colloidal spheres
Suspensions of spherical colloidal particles in a liquid show a fascinating variety of phase behaviour which can mimic that of simple atomic liquids and solids. ‘Colloidal fluids’1–4, in which there
Elasticity of a filamentous kagome lattice.
TLDR
The diluted kagome lattice, in which bonds are randomly removed with probability 1-p, consists of straight lines that intersect at points with a maximum coordination number of 4, and provides a simple model for two-dimensional filamentous networks.
Morphological diversity of DNA-colloidal self-assembly.
  • A. Tkachenko
  • Materials Science, Medicine
    Physical review letters
  • 2002
TLDR
A binary system in which an attraction of unlike particles is combined with a type-independent soft-core repulsion, in which both the repulsion and the attraction may be induced by DNA solution is studied.
Coherent potential approximation of random nearly isostatic kagome lattice.
TLDR
The coherent potential approximation is used to study the mode structure and mechanical properties of the kagome lattice in which NNN springs with spring constant κ are added with probability P=Δz/4, where Δz=z-4 and z is the average coordination number.
...
1
2
3
4
5
...