W9JEF
06-06-2014, 07:22 PM
Graphene, discovered in 2004, is a one-atom-thick sheet of graphite.
“The properties of two-dimensional materials depend on shape,”
said Salvador Barraza-Lopez, an assistant professor of physics
at the University of Arkansas. “And this mathematical framework
allows you to make extremely accurate characterizations of shape.
This framework is a novel tool to understand shape in materials
that behave as atom-thin membranes.”
The mathematical framework being used is known as discrete differential geometry,
which is the geometry of two-dimensional interlaced structures called meshes.
When the nodes of the structure, or mesh points, correspond with atomic positions,
discrete differential geometry provides direct information on the potential chemistry
and on the electronic properties of two-dimensional materials, Barraza-Lopez said.
The application of discrete differential geometry to understand two-dimensional materials
is an original interdisciplinary development, he said.
An international research group, led by Barraza-Lopez, published its findings on Jan. 8
in the journal ACS Nano, in a paper (http://pubs.acs.org/doi/abs/10.1021/nn406532z) titled, “Quantitative Chemistry and the Discrete
Geometry of Conformal Atom-Thin Crystals.” A second article describing the research,
“Graphene’s morphology and electronic properties from discrete differential geometry,”
was published March 6 as a rapid communication (http://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.121403) in the journal Physical Review B.
http://newswire.uark.edu/articles/24261/researchers-develop-new-mathematical-framework-to-characterize-shape-of-graphene
“The properties of two-dimensional materials depend on shape,”
said Salvador Barraza-Lopez, an assistant professor of physics
at the University of Arkansas. “And this mathematical framework
allows you to make extremely accurate characterizations of shape.
This framework is a novel tool to understand shape in materials
that behave as atom-thin membranes.”
The mathematical framework being used is known as discrete differential geometry,
which is the geometry of two-dimensional interlaced structures called meshes.
When the nodes of the structure, or mesh points, correspond with atomic positions,
discrete differential geometry provides direct information on the potential chemistry
and on the electronic properties of two-dimensional materials, Barraza-Lopez said.
The application of discrete differential geometry to understand two-dimensional materials
is an original interdisciplinary development, he said.
An international research group, led by Barraza-Lopez, published its findings on Jan. 8
in the journal ACS Nano, in a paper (http://pubs.acs.org/doi/abs/10.1021/nn406532z) titled, “Quantitative Chemistry and the Discrete
Geometry of Conformal Atom-Thin Crystals.” A second article describing the research,
“Graphene’s morphology and electronic properties from discrete differential geometry,”
was published March 6 as a rapid communication (http://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.121403) in the journal Physical Review B.
http://newswire.uark.edu/articles/24261/researchers-develop-new-mathematical-framework-to-characterize-shape-of-graphene