# softmatter:Lamella

Block Copolymers (BCPs) and surfactants are known to phase separate into complex morphologies including Cubically Ordered Spherical Micelles, Hexagonally Packed Cylindrical Micelles, Double Gyroid, Perforated Lamella, and **Lamella**. Recent simulation results have shown that Tethered building blocks also can exhibit similar phases as a result of microphase separation.

## Contents |

## Block Copolymers

Melts of BCPs, with block fractions of ~0.35-0.65 have been shown to form cylindrical micelles that order into hexagonal arrangements [1]. Here block fraction is defined as (*length of the A block*)/(*total length of polymer*).

- An example using Brownian Dynamics showing the final morphology of a phase separated block copolymer into lamella:

## Surfactants

Simulations of symmetric surfactants in selective solvent have also yielded lamella for volume fractions of approximately 0.4 - 0.5 [2].

## Tethered Particles

Tether-aggregating tethered nanospheres (TNS) were found to exhibit lamella for a range of volume fractions and various excluded volume ratio, F_{v}, values (ratio of the nanoparticle to tether) [2].

- Specifically, for F
_{v}=1, at volume fractions ~0.4-0.55, tether-aggregating tethered nanospheres yielded lamella bilayers [2]. - Head-aggregating tethered nanospheres (TNS) with F
_{v}=1, were found to exhibit lamella behavior at volume fractions ~0.35-0.5.- An example can be viewed MATDL Repository.
- The full reference can be found at: MATDL Repository.

## Examples

- Brownian Dynamics simulation of a nanoparticle aggregating tethered nanosphere: lamellar bilayers
- Dissipative Particle Dynamics simulation of a diblock Block Copolymer: Lamella
- Brownian Dynamics simulation of a diblock Block Copolymer: Lamella