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

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 me, CdS as barrier material of electron effective mass 0.25 me and having conduction band offset of 0.265 eV. Based on the...

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Main Authors:	Woon, C.Y, Gopir .G, Othman .A.P
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2447/ http://journalarticle.ukm.my/2447/ http://journalarticle.ukm.my/2447/1/12_Woon.pdf

id	ukm-2447
recordtype	eprints
spelling	ukm-24472016-12-14T06:31:38Z http://journalarticle.ukm.my/2447/ Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots Woon, C.Y Gopir .G, Othman .A.P, 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 me, CdS as barrier material of electron effective mass 0.25 me 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 N×N Hamiltonian matrix for principal quantum number n=l – 3, orbital quantum number l=0 – 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%. Universiti Kebangsaan Malaysia 2011-01 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2447/1/12_Woon.pdf Woon, C.Y and Gopir .G, and Othman .A.P, (2011) Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots. Sains Malaysiana, 40 (1). pp. 55-58. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	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 me, CdS as barrier material of electron effective mass 0.25 me 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 N×N Hamiltonian matrix for principal quantum number n=l – 3, orbital quantum number l=0 – 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%.
format	Article
author	Woon, C.Y Gopir .G, Othman .A.P,
spellingShingle	Woon, C.Y Gopir .G, Othman .A.P, Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots
author_facet	Woon, C.Y Gopir .G, Othman .A.P,
author_sort	Woon, C.Y
title	Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots
title_short	Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots
title_full	Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots
title_fullStr	Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots
title_full_unstemmed	Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots
title_sort	finite difference calculation of electron states in cdte-cds core-shell quantum dots
publisher	Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2447/ http://journalarticle.ukm.my/2447/ http://journalarticle.ukm.my/2447/1/12_Woon.pdf
first_indexed	2023-09-18T19:36:06Z
last_indexed	2023-09-18T19:36:06Z
_version_	1777405280669138944

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

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