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Mathematical model for the encapsulation of Alanine amino acid inside a single-walled carbon nanotube

  • Hakim Al GarallehEmail author
  • Mazen Garaleh
  • Ghassan Alabadleh


Carbon nanotubes play a significant role in facilitating and controlling the transportation of drugs and bio-molecules through their internal and external surfaces. Carbon nanotubes are also selective nano-devices because of their outstanding properties and huge potential use in many bio-medical and drug delivery applications. The proposed model aims to investigate the encapsulation of Alanine molecule inside a single-walled carbon nanotube, and to determine the minimum energy which is arising from the Alanine interacting with single-walled carbon nanotubes with variant radii r. We consider two possible structures as models of Alanine molecule which are a spherical shell as a continuum configuration and discrete configuration modelled as comprising three components: the linear molecule, cylindrical group, and CH3 molecule as a sphere, all interacting with infinite cylindrical single-walled carbon nanotube. The adsorption of Alanine amino acid and magnitude of total energy for each orientation calculated based on the nanotube radius r and the orientation angle \(\phi\) which the amino acid makes with central axis of the cylindrical nanotube. Our results indicate that the Alanine molecule encapsulated inside the nanotubes of radius greater than 3.75 Å, which are in excellent agreement with recent findings.


Carbon nanotube (CNT) Alanine amino acid (ALA) Encapsulation Potential energy Van der Waals Force and Lennard-Jones potential 



The author acknowledges the University of Business and Technology for the provision of the Deanship and Scientific Research (DSR).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Research involving animal rights

This article does not contain any studies with animals performed by any of authors.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Hakim Al Garalleh
    • 1
    • 2
    Email author
  • Mazen Garaleh
    • 1
    • 3
  • Ghassan Alabadleh
    • 2
  1. 1.Department of Mathematical Science, College of EngineeringUniversity of Business and Technology-DahbanJeddahSaudi Arabia
  2. 2.School of Statistics and Applied Mathematics, College of Informatic SystemUniversity of WollongongWollongongAustralia
  3. 3.Department of Applied Chemistry, Faculty of ScienceTafila Technical UniversityTafilaJordan

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