The Geometry of $C_{60}$: A Rigorous Approach via Molecular Mechanics

DOI10.1137/16M106978XzbMath1353.82072arXiv1604.02077MaRDI QIDQ2827059

Manuel Friedrich, Ulisse Stefanelli, Paolo Piovano

Publication date: 12 October 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02077

zbMATH Keywords

nanostructurescrystalsnanoparticles

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Stable carbon configurations ⋮ Carbon-Nanotube Geometries as Optimal Configurations ⋮ Ripples in graphene: a variational approach ⋮ Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule ⋮ Graphene ground states

Uses Software

• CHARMM
• GROMOS

Cites Work

• Face-centered cubic crystallization of atomistic configurations
• Carbon-nanotube geometries: analytical and numerical results
• Crystallization for a Brenner-like potential
• Sharp \(N^{3/4}\) law for the minimizers of the edge-isoperimetric problem on the triangular lattice
• On the crystallization of 2D hexagonal lattices
• A proof of crystallization in two dimensions
• Cauchy-Born rule and the stability of crystalline solids: Static problems
• The crystallization conjecture: a review
• Phonon, Cauchy-Born and homogenized stability criteria for a free-standing monolayer graphene at the continuum level
• Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
• Crystallization in carbon nanostructures
• Packing twelve spherical caps to maximize tangencies
• Stability of crystalline solids. I: Continuum and atomic lattice considerations
• Objective structures
• Wulff shape emergence in graphene
• Computational Chemistry
• Carbon-Nanotube Geometries as Optimal Configurations
• Finite crystallization in the square lattice
• Periodicity of the infinite-volume ground state of a one-dimensional quantum model

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