### 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 m_{c} 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 language | English |
---|---|

Pages (from-to) | 55-58 |

Number of pages | 4 |

Journal | Sains Malaysiana |

Volume | 40 |

Issue number | 1 |

Publication status | Published - Jan 2011 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- General

### Cite this

*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.

Research output: Contribution to journal › Article

*Sains Malaysiana*, vol. 40, no. 1, pp. 55-58.

}

TY - JOUR

T1 - Finite difference calculation of electron states in CdTe-CdS core-shell quantum dots

AU - Woon, C. Y.

AU - Gopir, Geri Kibe

AU - Othman, A. P.

PY - 2011/1

Y1 - 2011/1

N2 - 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%.

AB - 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%.

KW - Bendaniel-duke hamiltonian

KW - Core-shell

KW - Electron state

KW - Quantum dot

KW - Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=79551612530&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79551612530&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:79551612530

VL - 40

SP - 55

EP - 58

JO - Sains Malaysiana

JF - Sains Malaysiana

SN - 0126-6039

IS - 1

ER -