Skip to search formSkip to main contentSkip to account menu
Octagonal symmetry in low-discrepancy β-manganese.
  • W. Hornfeck, P. Kuhn
  • Mathematics
    Acta crystallographica. Section A, Foundations…
  • 1 September 2014
TLDR
Two-dimensional maps of both the geometrical star discrepancy D(*) and the minimal interatomic distance dmin are calculated over the combined structural parameter range of generalized β-Mn type structures, showing that the `octagonal' variant of β- Mn is almost optimal in terms of globally minimizing D(*, while at the same time globally maximizing dmin.
View on PubMed
Structure–Composition Relations for the Partly Disordered Hume‐Rothery Phase Ir7+7δZn97−11δ (0.31≤δ≤0.58)
The crystal structure, its variation within the homogeneity range and some physical properties of the new zinc-rich, partly disordered phase Ir 7 + 7 δ Zn 9 7 - 1 1 δ (0.31≤δ≤0.58) are reported. The…
View via Publisher
Nucleation and crystal growth in a suspension of charged colloidal silica spheres with bi-modal size distribution studied by time-resolved ultra-small-angle X-ray scattering.
TLDR
An estimate on the interfacial energy for the interface between the icosahedral short-range ordered fluid and a body-centered cubic colloidal crystal was obtained, comparable to previously determined values for single-component colloidal systems.
View on PubMed
Dendrite growth velocity in the undercooled melt of glass forming Ni50Zr50 compound
Abstract Glass-forming Ni50Zr50 intermetallic compound is containerless undercooled and solidified using electrostatic levitation. Large undercoolings up to ∆T = 300 K are achieved. The dendrite…
View on Taylor & Francis
On an extension of Krivovichev's complexity measures.
  • W. Hornfeck
  • Materials Science
    Acta crystallographica. Section A, Foundations…
  • 30 June 2020
TLDR
An extension is proposed of the Shannon entropy-based structural complexity measure introduced by Krivovichev, taking into account the geometric coordinational degrees of freedom a crystal structure has, yielding an even more refined scheme of complexity measures which can be obtained from a crystalructure's description: the six C's of complexity.
View on PubMed
Quasicrystal nucleation and ℤ module twin growth in an intermetallic glass-forming system
TLDR
The authors track and geometrically describe how a decagonal nickel–zirconium seed grows into a tenfold twinned dendritic structure.
View on Springer
Multiplicative congruential generators, their lattice structure, its relation to lattice-sublattice transformations and applications in crystallography.
TLDR
From an analysis of similar sublattices with hexagonal and square symmetry it is conjectured that the cycle structure of the permutation has its crystallographic counterpart in the description of crystallographic orbits.
View on PubMed
Structural chemistry and number theory amalgamized: crystal structure of Na11Hg52.
  • W. Hornfeck, C. Hoch
  • Chemistry
    Acta crystallographica Section B, Structural…
  • 1 December 2015
TLDR
The recently elucidated crystal structure of the technologically important amalgam Na11Hg52 is described by means of a method employing some fundamental concept of number theory, namely modular arithmetical relations observed between a slightly idealized set of atomic coordinates, thus enabling a distinct viw on complex crystal structures in general.
View on PubMed
Quantitative crystal structure descriptors from multiplicative congruential generators.
  • W. Hornfeck
  • Mathematics
    Acta crystallographica. Section A, Foundations of…
  • 1 March 2012
TLDR
A conceptual framework is established, with some focus on layered superstructures, which proposes the use of MCGs as a tool for the quantitative description of crystal structures as well as certain quasicrystal approximants.
View on PubMed
In situ observation of the phase selection from the undercooled melt in Cu–Zr
View via Publisher
...
...
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License