Stable one-component quasicrystals

Smith, Arthur P.

doi:10.1103/physrevb.43.11635

Cited by 18 publications

(18 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…15,16,17,18,19,20,21,22,23,24,25,26,27 However, most of these investigations have been restricted to quite special case of two-dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems

2015

View full text Add to dashboard Cite

Using molecular dynamics simulations we show that a one-component system can be driven to a three-dimensional decagonal (10-fold) quasicrystalline state just by purely repulsive, isotropic and monotonic interaction pair potential with two characteristic length scales; no attraction is needed. We found that self-assembly of a decagonal quasicrystal from a fluid can be predicted by two dimensionless effective parameters describing the fluid structure. We demonstrate stability of the results under changes of the potential by obtaining the decagonal order for three particle systems with different interaction potentials, both purely repulsive and attractive, but with the same values of the effective parameters. Our results suggest that soft matter quasicrystals with decagonal symmetry can be experimentally observed for the same systems demonstrating the dodecagonal order for an appropriate tuning of the effective parameters.

show abstract

“…15,16,17,18,19,20,21,22,23,24,25,26,27 However, most of these investigations have been restricted to quite special case of two-dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems

2015

View full text Add to dashboard Cite

show abstract

“…It has been shown with double-minima potentials [5], oscillating potentials [6], and a repulsive barrier [7] that the energy of an icosahedral phase can be lower than the energy of a class of trial structures including close-packed phases. Surprisingly, even in the LJ system, a quasicrystal is unstable only by a small energy difference [8].…”

Section: Introductionmentioning

confidence: 99%

Structural complexity in monodisperse systems of isotropic particles

Engel¹,

Trebin

2008

Zeitschrift Für Kristallographie

View full text Add to dashboard Cite

Abstract. It has recently been shown that identical, isotropic particles can form complex crystals and quasicrystals. In order to understand the relation between the particle interaction and the structure, which it stabilizes, the phase behavior of a class of two-scale potentials is studied. In two dimensions, the phase diagram features many phases previously observed in experiment and simulation. The three-dimensional system includes the sigma phase with 30 particles per unit cell, not grown in simulations before, and an amorphous state, which we found impossible to crystallize in molecular dynamics. We suggest that the appearance of structural complexity in monodisperse systems is related to competing nearest neighbor distances and discuss implications of our result for the self-assembly of macromolecules.

show abstract

“…This implies a packing instability, which is a second reason for loss of structural stability upon approaching the lower-right corner of Table I. In this parameter region, analysis of structural trends across the Periodic Table [11] and lattice-sum calculations [5] indicate the stability of more open covalent structures, which are, however, outside the scope of the present theory.…”

Section: Such Unstable Regions In the Parameter Space Ofmentioning

confidence: 80%

“…A ground-state icosahedral phase has been predicted for an idealized square-well pair potential system [4], although the stability range is confined to a narrow range of well widths and pressures. More recently, extensive lattice-sum potential energy calculations [5] for systems interacting via effective metallic pair potentials have predicted energetically stable ground-state one-component quasicrystals, albeit within a restricted range of pair potential parameters having no counterparts in the Periodic Table. An alternative approach, especially suited to finite temperatures, is classical density-functional (DF) theory [6,7], which determines the free energy of a given solid as the variational minimum with respect to density of an approximate free energy functional. Fundamental applications have already predicted purely entropic hard-sphere quasicrystals to be either metastable [8] or mechanically unstable [9], indicating that ordinary entropy alone is not sufficient to stabilize quasiperiodicity.…”

mentioning

confidence: 99%

Thermodynamically stable one-component metallic quasicrystals

Denton

Häfner

1997

Europhys. Lett.

View full text Add to dashboard Cite

Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing the free energies of several periodic crystals and rational approximant models of quasicrystals over a range of pseudopotential parameters, thermodynamically stable quasicrystals are predicted for parameters approaching the limits of mechanical stability of the crystalline structures. The results support and significantly extend conclusions of previous ground-state lattice-sum studies.PACS numbers: 61.44.+p, 64.70.Dv, 61.25.Mv Typeset using REVT E X 1

show abstract

Stable one-component quasicrystals

Cited by 18 publications

References 33 publications

Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems

Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems

Structural complexity in monodisperse systems of isotropic particles

Thermodynamically stable one-component metallic quasicrystals

Contact Info

Product

Resources

About