skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Compact interaction potential for van der Waals nanorods

Abstract

Here, we studied the van der Waals interactions of two finite, solid, cylindrical rods at arbitrary angle and position with respect to each other. An analytic interpolative formula for the interaction potential energy is constructed based on various asymptotic cases. In conclusion, the potential can be readily used for numerical and analytic descriptions of multiwall carbon nanotubes, metallic nanorods, rod-shaped colloids, or any other similar objects with significant van der Waals interactions.

Authors:
ORCiD logo [1];  [2]
  1. Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy; Brookhaven National Lab. (BNL), Upton, NY (United States). Center for Functional Nanomaterials (CFN)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). Center for Functional Nanomaterials (CFN)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1478475
Alternate Identifier(s):
OSTI ID: 1546136
Report Number(s):
BNL-209315-2018-JAAM
Journal ID: ISSN 2470-0045; PLEEE8
Grant/Contract Number:  
SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE

Citation Formats

Logan, Jack A., and Tkachenko, Alexei V. Compact interaction potential for van der Waals nanorods. United States: N. p., 2018. Web. doi:10.1103/PhysRevE.98.032609.
Logan, Jack A., & Tkachenko, Alexei V. Compact interaction potential for van der Waals nanorods. United States. doi:10.1103/PhysRevE.98.032609.
Logan, Jack A., and Tkachenko, Alexei V. Mon . "Compact interaction potential for van der Waals nanorods". United States. doi:10.1103/PhysRevE.98.032609. https://www.osti.gov/servlets/purl/1478475.
@article{osti_1478475,
title = {Compact interaction potential for van der Waals nanorods},
author = {Logan, Jack A. and Tkachenko, Alexei V.},
abstractNote = {Here, we studied the van der Waals interactions of two finite, solid, cylindrical rods at arbitrary angle and position with respect to each other. An analytic interpolative formula for the interaction potential energy is constructed based on various asymptotic cases. In conclusion, the potential can be readily used for numerical and analytic descriptions of multiwall carbon nanotubes, metallic nanorods, rod-shaped colloids, or any other similar objects with significant van der Waals interactions.},
doi = {10.1103/PhysRevE.98.032609},
journal = {Physical Review E},
issn = {2470-0045},
number = 3,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: Basic setup: two identical rods of diameter $a$ and length $L$. $X$0 and $Y$0 are longitudinal displacements of the rods’ centers with respect to their axes’ nearest points.

Save / Share:

Works referenced in this record:

Van der Waals Interaction between Two Crossed Carbon Nanotubes
journal, September 2010

  • Zhbanov, Alexander I.; Pogorelov, Evgeny G.; Chang, Yia-Chung
  • ACS Nano, Vol. 4, Issue 10
  • DOI: 10.1021/nn100731u

Evaluation of interactions between functionalised multi-walled carbon nanotubes and ligand-stabilised gold nanoparticles using surface element integration
journal, February 2007

  • Stolarczyk, Jacek K.; Sainsbury, Toby; Fitzmaurice, Donald
  • Journal of Computer-Aided Materials Design, Vol. 14, Issue 1
  • DOI: 10.1007/s10820-006-9027-8

Assembling Ordered Nanorod Superstructures and Their Application as Microcavity Lasers
journal, March 2017

  • Liu, Pai; Singh, Shalini; Guo, Yina
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep43884

Self-Assembly of Carbon Nanotubes
journal, June 2002


Van der Waals' attraction between anisometric particles
journal, October 1954


Universal Curves for the van der Waals Interaction between Single-Walled Carbon Nanotubes
journal, December 2011

  • Pogorelov, Evgeny G.; Zhbanov, Alexander I.; Chang, Yia-Chung
  • Langmuir, Vol. 28, Issue 2
  • DOI: 10.1021/la203776x

Van der Waals heterostructures
journal, July 2013

  • Geim, A. K.; Grigorieva, I. V.
  • Nature, Vol. 499, Issue 7459, p. 419-425
  • DOI: 10.1038/nature12385

Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential
journal, November 2000


Light Generation and Harvesting in a van der Waals Heterostructure
journal, March 2014

  • Lopez-Sanchez, Oriol; Alarcon Llado, Esther; Koman, Volodymyr
  • ACS Nano, Vol. 8, Issue 3
  • DOI: 10.1021/nn500480u

van der Waals forces involving thin rods
journal, December 1973


The Effects of Shape on the Interaction of Colloidal Particles
journal, May 1949


Adhesive force of a single gecko foot-hair
journal, June 2000

  • Autumn, Kellar; Liang, Yiching A.; Hsieh, S. Tonia
  • Nature, Vol. 405, Issue 6787
  • DOI: 10.1038/35015073

The van der Waals coefficients between carbon nanostructures and small molecules: A time-dependent density functional theory study
journal, October 2009

  • Kamal, C.; Ghanty, T. K.; Banerjee, Arup
  • The Journal of Chemical Physics, Vol. 131, Issue 16
  • DOI: 10.1063/1.3256238

Nonretarded van der Waals Interaction between Anisotropic Long Thin Rods at All Angles
journal, May 1972

  • Parsegian, V. Adrian
  • The Journal of Chemical Physics, Vol. 56, Issue 9
  • DOI: 10.1063/1.1677878

Radial deformation of carbon nanotubes by van der Waals forces
journal, August 1993

  • Ruoff, Rodney S.; Tersoff, J.; Lorents, Donald C.
  • Nature, Vol. 364, Issue 6437
  • DOI: 10.1038/364514a0

The general theory of molecular forces
journal, January 1937


The London—van der Waals attraction between spherical particles
journal, October 1937


An Experimental and Theoretical Study of the Self-Assembly of Gold Nanoparticles at the Surface of Functionalized Multiwalled Carbon Nanotubes
journal, September 2005

  • Sainsbury, Toby; Stolarczyk, Jacek; Fitzmaurice, Donald
  • The Journal of Physical Chemistry B, Vol. 109, Issue 34
  • DOI: 10.1021/jp051224c

Statistical theory and structure factor of a semidilute solution of rodlike macromolecules interacting by van der Waals forces
journal, July 1992

  • van der Schoot, Paul; Odijk, Theo
  • The Journal of Chemical Physics, Vol. 97, Issue 1
  • DOI: 10.1063/1.463599

van der Waals Interactions between Nanotubes and Nanoparticles for Controlled Assembly of Composite Nanostructures
journal, July 2010

  • Rance, Graham A.; Marsh, Dan H.; Bourne, Stephen J.
  • ACS Nano, Vol. 4, Issue 8
  • DOI: 10.1021/nn101287u

Evidence for van der Waals adhesion in gecko setae
journal, August 2002

  • Autumn, K.; Sitti, M.; Liang, Y. A.
  • Proceedings of the National Academy of Sciences, Vol. 99, Issue 19
  • DOI: 10.1073/pnas.192252799

Structural Properties of a Carbon-Nanotube Crystal
journal, August 1994


Gold Nanorods: From Synthesis and Properties to Biological and Biomedical Applications
journal, July 2009

  • Huang, Xiaohua; Neretina, Svetlana; El-Sayed, Mostafa A.
  • Advanced Materials, Vol. 21, Issue 48, p. 4880-4910
  • DOI: 10.1002/adma.200802789

Self-assembly and applications of anisotropic nanomaterials: A review
journal, February 2015


Forces stabilizing proteins
journal, May 2014