Bicontinuous phases and self-assembled networklike nanostructures

Occurence and formation Gyroid nanostructures in green butterflies

(For optical properties, see ‘Gyroid photonics‘ page)

Bicontinuous phases in largely entropy-driven particle systems

Poly-continuous copolymer phases and self-consistent field theory

(see ‘Gyroid Photonics section’ for poly-continuous designs for photonic materials)

Homogeneity, medial surface and shape-parameter analyses for the formation of bicontinuous and poly-continuous phases

  • G.E. Schröder-Turk, L. de Campo, M.E. Evans, M. Saba, S.C. Kapfer, T. Varslot, K. Grosse-Brauckmann, S. Ramsden and S.T. Hyde, Polycontinuous geometries for inverse surfactant phases with more than two aqueous network domains , Faraday Discussions 161, 215-247 (2013)
  • G.E. Schröder-Turk, T. Varslot, L. de Campo, S.C. Kapfer and W. Mickel, “A bicontinuous lipid mesophase geometry with hexagonal symmetry”, Langmuir 27(17), 10475–10483 (2011)
  • G.E. Schröder, S.J. Ramsden, A.G. Christy and S.T. Hyde, “Medial Surfaces of Hyperbolic Structures”, Eur. Phys. J. B 35, 551-564 (2003)
  • G.E. Schröder-Turk, A. Fogden, and S.T. Hyde, “Local v/a variations as a measure of structural packing frustration in bicontinuous mesophases, and geometric arguments for an alternating Im(-3)m (IWP) phase in block-copolymers with polydispersity” , Eur. Phys. J. B 59 , 115-126 (2007)
  • G.E. Schröder, “Skeletons in the Labyrinth – Medial Representations and packing properties of bicontinuous space partitions” , PhD thesis, Australian National University (2005)

Transformation and phase transformation geometries for bicontinuous phases

  • G.E. Schröder-Turk, A. Fogden and S.T. Hyde, “Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces”, European Journal of Physics B 54, 509-524 (2006)
  • W. Mickel, G.E. Schröder-Turk and K. Mecke, “Tensorial Minkowski Functionals of Triply-Periodic Minimal Surfaces”, J. Roy. Soc. Interf. Focus, doi: 10.1098/rsfs.2012.0007 (2012)
  • G.E. Schröder, A. Fogden and S.T. Hyde, “A rhombohedral family of minimal surfaces as a pathway between the P and D cubic mesophases”, Physica A 339, 137-144 (2004)

Nuclear pasta phases (Bicontinuous structures in computational models for nuclear matter)

  • B. Schuetrumpf, M.A. Klatt, K. Iida, G.E. Schröder-Turk, J.A. Mahrun, K. Mecke and P.-G. Reinhard, “Appearance of the single gyroid network phase in ‘nuclear pasta’ matter”, Physical Review C 91, 025801 (2015)
  • B. Schuetrumpf, M.A. Klatt, K. Iida, G.E. Schröder-Turk, J.A. Maruhn, K. Mecke, P.G. Reinhard, “Minimal surfaces in nuclear pasta with time-dependent Hartree-Fock approach”, Proc. of the 52th international winter meeting on nuclear physics, 27-31 January 2014, Bormio/Italy (2014)

Material properties induced by bicontinuous structure

(For optical properties, see ‘Gyroid photonics‘ page)

  • R.G.E. Kimber, A.B. Walker, G.E. Schröder-Turk and D.J. Cleaver, “Bicontinuous minimal surface nanostructures for polymer blend solar cells”, Phys. Chem. Chem. Phys. 12, 844 (2010)
  • S.C. Kapfer, S.T. Hyde, K. Mecke, C.H. Arns, and G.E. Schröder-Turk, “Minimal surface scaffold designs for tissue engineering”, Biomaterials 32(29), 6875-6882 (2011)
  • G.E. Schröder-Turk, T. Varslot, L. de Campo, S.C. Kapfer and W. Mickel, “A bicontinuous lipid mesophase geometry with hexagonal symmetry”, Langmuir 27(17), 10475–10483 (2011)

Overview and editorial articles