Featured Research

from universities, journals, and other organizations

New mathematical framework to characterize shape of graphene

Date:
May 5, 2014
Source:
University of Arkansas, Fayetteville
Summary:
Scientists studying graphene’s properties are using a new mathematical framework to make extremely accurate characterizations of the two-dimensional material’s shape. Graphene, discovered in 2004, is a one-atom-thick sheet of graphite.

Scientists studying graphene's properties are using a new mathematical framework to make extremely accurate characterizations of the two-dimensional material's shape.

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 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 in the journal Physical Review B.

Graphene was once thought of as existing on a continuum -- think of a smooth, continuous "blanket" -- but the new mathematical framework allows the consideration of the blanket's "fibers," which provides an accurate understanding of the blanket's properties that complements the continuum perspective.

"Since two-dimensional materials can be easily visualized as meshes, we asked ourselves how these theories would look if you express them directly in terms of the positions of the atoms, bypassing entirely the common continuum approximation," Barraza-Lopez said. "These two papers provide our latest strides towards that direction."

The results for the study published in ACS Nano on Jan 8 were obtained through a collaborative effort with Alejandro A. Pacheco Sanjuan at Universidad del Norte, Barranquilla, Colombia; Edmund O. Harriss, a clinical assistant professor of mathematics at the University of Arkansas; Mehrshad Mehboudi, a master's student in microelectronics-photonics at the University of Arkansas and Humberto Terrones, then at Pennsylvania State University, now at Rensselaer Polytechnic Institute.

Collaborators on the rapid communication published in Physical Review B on March 6 were Pacheco Sanjuan; Hamed Pour Imani, a physics doctoral student at the University of Arkansas; Zhengfei Wang at the University of Utah; and Mihajlo Vanevic at the University of Belgrade, Serbia.


Story Source:

The above story is based on materials provided by University of Arkansas, Fayetteville. Note: Materials may be edited for content and length.


Journal References:

  1. Alejandro A. Pacheco Sanjuan, Zhengfei Wang, Hamed Pour Imani, Mihajlo Vanević, Salvador Barraza-Lopez. Graphene's morphology and electronic properties from discrete differential geometry. Physical Review B, 2014; 89 (12) DOI: 10.1103/PhysRevB.89.121403
  2. Alejandro A. Pacheco Sanjuan, Mehrshad Mehboudi, Edmund O. Harriss, Humberto Terrones, Salvador Barraza-Lopez. Quantitative Chemistry and the Discrete Geometry of Conformal Atom-Thin Crystals. ACS Nano, 2014; 8 (2): 1136 DOI: 10.1021/nn406532z

Cite This Page:

University of Arkansas, Fayetteville. "New mathematical framework to characterize shape of graphene." ScienceDaily. ScienceDaily, 5 May 2014. <www.sciencedaily.com/releases/2014/05/140505112308.htm>.
University of Arkansas, Fayetteville. (2014, May 5). New mathematical framework to characterize shape of graphene. ScienceDaily. Retrieved July 23, 2014 from www.sciencedaily.com/releases/2014/05/140505112308.htm
University of Arkansas, Fayetteville. "New mathematical framework to characterize shape of graphene." ScienceDaily. www.sciencedaily.com/releases/2014/05/140505112308.htm (accessed July 23, 2014).

Share This




More Matter & Energy News

Wednesday, July 23, 2014

Featured Research

from universities, journals, and other organizations


Featured Videos

from AP, Reuters, AFP, and other news services

Government Approves East Coast Oil Exploration

Government Approves East Coast Oil Exploration

AP (July 18, 2014) The Obama administration approved the use of sonic cannons to discover deposits under the ocean floor by shooting sound waves 100 times louder than a jet engine through waters shared by endangered whales and turtles. (July 18) Video provided by AP
Powered by NewsLook.com
Sunken German U-Boat Clearly Visible For First Time

Sunken German U-Boat Clearly Visible For First Time

Newsy (July 18, 2014) The wreckage of the German submarine U-166 has become clearly visible for the first time since it was discovered in 2001. Video provided by Newsy
Powered by NewsLook.com
Obama: U.S. Must Have "smartest Airports, Best Power Grid"

Obama: U.S. Must Have "smartest Airports, Best Power Grid"

Reuters - US Online Video (July 17, 2014) President Barak Obama stopped by at a lunch counter in Delaware before making remarks about boosting the nation's infrastructure. Mana Rabiee reports. Video provided by Reuters
Powered by NewsLook.com
Crude Oil Prices Bounce Back After Falling Below $100 a Barrel

Crude Oil Prices Bounce Back After Falling Below $100 a Barrel

TheStreet (July 16, 2014) Oil Futures are bouncing back after tumbling below $100 a barrel for the first time since May yesterday. Jeff Grossman is the president of BRG Brokerage and trades at the NYMEX. Grossman tells TheStreet the Middle East is always a concern for oil traders. Oil prices were pushed down in recent weeks on Libya increasing its production. Supply disruptions in Iraq fading also contributed to prices falling. News from China's economic front showing a growth for the second quarter also calmed fears on its slowdown. Jeff Grossman talks to TheStreet's Susannah Lee on this and more on the Energy Department's Energy Information Administration (EIA) report. Video provided by TheStreet
Powered by NewsLook.com

Search ScienceDaily

Number of stories in archives: 140,361

Find with keyword(s):
Enter a keyword or phrase to search ScienceDaily for related topics and research stories.

Save/Print:
Share:

Breaking News:
from the past week

In Other News

... from NewsDaily.com

Science News

Health News

Environment News

Technology News



Save/Print:
Share:

Free Subscriptions


Get the latest science news with ScienceDaily's free email newsletters, updated daily and weekly. Or view hourly updated newsfeeds in your RSS reader:

Get Social & Mobile


Keep up to date with the latest news from ScienceDaily via social networks and mobile apps:

Have Feedback?


Tell us what you think of ScienceDaily -- we welcome both positive and negative comments. Have any problems using the site? Questions?
Mobile: iPhone Android Web
Follow: Facebook Twitter Google+
Subscribe: RSS Feeds Email Newsletters
Latest Headlines Health & Medicine Mind & Brain Space & Time Matter & Energy Computers & Math Plants & Animals Earth & Climate Fossils & Ruins