A continuum state variable theory to model the size-dependent surface energy of nanostructures

Mostafa Jamshidian, T Prakash G. Thamburaja, Timon Rabczuk

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We propose a continuum-based state variable theory to quantify the excess surface free energy density throughout a nanostructure. The size-dependent effect exhibited by nanoplates and spherical nanoparticles i.e. the reduction of surface energy with reducing nanostructure size is well-captured by our continuum state variable theory. Our constitutive theory is also able to predict the reducing energetic difference between the surface and interior (bulk) portions of a nanostructure with decreasing nanostructure size.

Original languageEnglish
Pages (from-to)25494-25498
Number of pages5
JournalPhysical Chemistry Chemical Physics
Volume17
Issue number38
DOIs
Publication statusPublished - 7 Sep 2015

Fingerprint

Interfacial energy
surface energy
Nanostructures
continuums
flux density
free energy
Free energy
nanoparticles
Nanoparticles

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)

Cite this

A continuum state variable theory to model the size-dependent surface energy of nanostructures. / Jamshidian, Mostafa; G. Thamburaja, T Prakash; Rabczuk, Timon.

In: Physical Chemistry Chemical Physics, Vol. 17, No. 38, 07.09.2015, p. 25494-25498.

Research output: Contribution to journalArticle

@article{504961b85f8a471e885297c7626b4f27,
title = "A continuum state variable theory to model the size-dependent surface energy of nanostructures",
abstract = "We propose a continuum-based state variable theory to quantify the excess surface free energy density throughout a nanostructure. The size-dependent effect exhibited by nanoplates and spherical nanoparticles i.e. the reduction of surface energy with reducing nanostructure size is well-captured by our continuum state variable theory. Our constitutive theory is also able to predict the reducing energetic difference between the surface and interior (bulk) portions of a nanostructure with decreasing nanostructure size.",
author = "Mostafa Jamshidian and {G. Thamburaja}, {T Prakash} and Timon Rabczuk",
year = "2015",
month = "9",
day = "7",
doi = "10.1039/c5cp04375a",
language = "English",
volume = "17",
pages = "25494--25498",
journal = "Physical Chemistry Chemical Physics",
issn = "1463-9076",
publisher = "Royal Society of Chemistry",
number = "38",

}

TY - JOUR

T1 - A continuum state variable theory to model the size-dependent surface energy of nanostructures

AU - Jamshidian, Mostafa

AU - G. Thamburaja, T Prakash

AU - Rabczuk, Timon

PY - 2015/9/7

Y1 - 2015/9/7

N2 - We propose a continuum-based state variable theory to quantify the excess surface free energy density throughout a nanostructure. The size-dependent effect exhibited by nanoplates and spherical nanoparticles i.e. the reduction of surface energy with reducing nanostructure size is well-captured by our continuum state variable theory. Our constitutive theory is also able to predict the reducing energetic difference between the surface and interior (bulk) portions of a nanostructure with decreasing nanostructure size.

AB - We propose a continuum-based state variable theory to quantify the excess surface free energy density throughout a nanostructure. The size-dependent effect exhibited by nanoplates and spherical nanoparticles i.e. the reduction of surface energy with reducing nanostructure size is well-captured by our continuum state variable theory. Our constitutive theory is also able to predict the reducing energetic difference between the surface and interior (bulk) portions of a nanostructure with decreasing nanostructure size.

UR - http://www.scopus.com/inward/record.url?scp=84942446646&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942446646&partnerID=8YFLogxK

U2 - 10.1039/c5cp04375a

DO - 10.1039/c5cp04375a

M3 - Article

AN - SCOPUS:84942446646

VL - 17

SP - 25494

EP - 25498

JO - Physical Chemistry Chemical Physics

JF - Physical Chemistry Chemical Physics

SN - 1463-9076

IS - 38

ER -