Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots

C. Y. Woon, Geri Kibe Gopir, A. P. Othman

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We determined theoretically the confined electron states in a colloidal core-shell CdTe-CdS quantum dot system with CdTe as the core material with electron effective mass 0.095 m, CdS as barrier material of electron effective mass 0.25 mc and having conduction band offset of 0.265 eV. Based on the one band effective mass approximation, the Schrödinger equation of this system with BenDaniel-Duke Hamiltonian is numerically solved using the finite difference method to obtain the energy level and wave function of the electron confined states. These electronic parameters are obtained by diagonalising the resultant NxN Hamiltonian matrix for principal quantum number n=l - 3, orbital quantum number I=o - 3 and dot size r=10 - 100 Å. For comparison, we also analytically solve the Schrödinger equation with classical Hamiltonian and similar input parameters to determine the electronic properties. There is good agreement in the results of these two computational methods, where specifically their energy levels differ by less than 15%.

Original languageEnglish
Pages (from-to)55-58
Number of pages4
JournalSains Malaysiana
Volume40
Issue number1
Publication statusPublished - Jan 2011

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electron states
quantum dots
quantum numbers
energy levels
electronics
conduction bands
electrons
wave functions
orbitals
approximation

Keywords

  • Bendaniel-duke hamiltonian
  • Core-shell
  • Electron state
  • Quantum dot
  • Schrödinger equation

ASJC Scopus subject areas

  • General

Cite this

Woon, C. Y., Gopir, G. K., & Othman, A. P. (2011). Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots. Sains Malaysiana, 40(1), 55-58.

Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots. / Woon, C. Y.; Gopir, Geri Kibe; Othman, A. P.

In: Sains Malaysiana, Vol. 40, No. 1, 01.2011, p. 55-58.

Research output: Contribution to journalArticle

Woon, CY, Gopir, GK & Othman, AP 2011, 'Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots', Sains Malaysiana, vol. 40, no. 1, pp. 55-58.
Woon, C. Y. ; Gopir, Geri Kibe ; Othman, A. P. / Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots. In: Sains Malaysiana. 2011 ; Vol. 40, No. 1. pp. 55-58.
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