Keyword Analysis & Research: wulff construction


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  • Wulff construction - Wikipedia

    wikipedia.org

    https://en.wikipedia.org/wiki/Wulff_Construction

    WEBThe Wulff construction is a method to determine the equilibrium shape of a droplet or crystal of fixed volume inside a separate phase (usually its saturated solution or vapor). Energy minimization arguments are used to show that certain crystal planes are preferred over others, giving the crystal its shape.

    DA: 95 PA: 70 MOZ Rank: 53

  • The Wulff construction goes low-symmetry | Nature Materials

    nature.com

    https://www.nature.com/articles/s41563-022-01407-x

    WEBNov 28, 2022 · The Wulff construction has been extremely successful for understanding the shapes of both two-dimensional (2D) and 3D materials, all the way from the macro to the nanoscale 5, as one has to...

    DA: 31 PA: 67 MOZ Rank: 99

  • Nanoparticle shapes by using Wulff constructions and first …

    nih.gov

    https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4362398/

    WEBFeb 3, 2015 · Wulff construction offers a simple method of predicting the equilibrium shape of nanoparticles given the surface energies of the material. Results: We review the mathematical formulation and the main applications of …

    DA: 79 PA: 68 MOZ Rank: 70

  • Surface energies of elemental crystals | Scientific Data - Nature

    nature.com

    https://www.nature.com/articles/sdata201680

    WEBSep 13, 2016 · The Wulff construction gives the crystal shape under equilibrium conditions 19,57,58. In this construction, the distance of a facet from the crystal center is proportional to the surface...

    DA: 29 PA: 59 MOZ Rank: 95

  • Equilibrium Shapes for Crystalline Solids - University of …

    illinois.edu

    https://solidification.mechanical.illinois.edu/Notes/pdf/Wulff.pdf

    WEB1 Wulff’s construction. Wulff proposed without proof that the equilibrium shape of crystal suspended in its melt could be obtained using the following geometric construction. Begin with a polar plot of the surface energy. s‘(n), where nis a unit vector in a direction defined in the crystal coordinate system r= n.

    DA: 70 PA: 22 MOZ Rank: 29


  • Wulffman: A tool for the calculation and display of crystal …

    nanohub.org

    https://nanohub.org/resources/14340/download/wulffmanPaper.pdf

    WEBThe Wulff construction is a well-known method of calculating the shape that minimizes the total surface free energy of a fixed volume. When the surface free energy density, gŽn., is given as a scalar function of the interfacial orientation n, the resulting Wulff shape that follows from the Wulff construction is predominantly composed of those

    DA: 66 PA: 90 MOZ Rank: 23

  • The Wulff construction goes low-symmetry - Nature

    nature.com

    https://www.nature.com/articles/s41563-022-01407-x.pdf

    WEBThe Wulff construction goes low-symmetry. Paul Erhart & J. Magnus Rahm. An apparent quirk of mathematics draws on a symmetry and resolves the issue of how to determine the equilibrium shape of...

    DA: 49 PA: 36 MOZ Rank: 36

  • Wulff Construction: A Global Shape from Local Interaction

    semanticscholar.org

    https://www.semanticscholar.org/paper/Wulff-Construction%3A-A-Global-Shape-from-Local-Dobrushin-Koteck%C3%BD/81e59af2ab8cc5c85631c1de700ebab5f38e3a90

    WEBSep 9, 1992 · Wulff Construction: A Global Shape from Local Interaction. R. Dobrushin, R. Kotecký, S. Shlosman. Published 9 September 1992. Mathematics, Physics. Introduction Extremal properties of the Wulff functional Limit theorems Surface tension Large contours Proof of the main results. View via Publisher.

    DA: 99 PA: 90 MOZ Rank: 22

  • WulffPack – a package for Wulff constructions

    materialsmodeling.org

    https://wulffpack.materialsmodeling.org/

    WEBWulffPack is a Python package for making Wulff constructions, typically for finding equilibrium shapes of nanoparticles. WulffPack constructs both continuum models and atomistic structures for further modeling with, e.g., …

    DA: 73 PA: 10 MOZ Rank: 69

  • Nanoparticle shapes by using Wulff constructions and first

    nih.gov

    https://pubmed.ncbi.nlm.nih.gov/25821675/

    WEBFeb 3, 2015 · Wulff construction offers a simple method of predicting the equilibrium shape of nanoparticles given the surface energies of the material. Results: We review the mathematical formulation and the main applications of …

    DA: 59 PA: 75 MOZ Rank: 8