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Goff, S. Le; Stébé, B.

doi:10.1088/0953-4075/25/24/007

Cited by 14 publications

(5 citation statements)

References 11 publications

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“…The electron is squeezed in smaller diameter than in latter cases. From the graphs, the weak radial confinement (d ≥ 3nm) and strong axial confinement case indicate that the electronic energy tends to the value of the two dimensional hydrogen donor (E b → 4d) [17].…”

Section: Resultsmentioning

confidence: 99%

A Quantum Confinement Study of the Electronic Energy of some Nanocrystalline Silicon Quantum-Dots

Ekong

Osiele

2016

ILCPA

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ABSTRACT. We have employed a quantum confinement (QC) model to the study of different shapes of nanocrystalline silicon (nc-Si) quantum dot. Each dots (shapes), although within the limits of an effective diameter of 3nm, exhibits divergence leading to different electronic energy based on the transitions from the quantum selection rule. Also, the graphical representation of the energies from each shape as a function of the effective diameter gives a qualitatively similar spectrum of discrete energies. The results obtained in this work using QC model are in good agreement with experiment and other models in literature.

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Section: Resultsmentioning

confidence: 99%

A Quantum Confinement Study of the Electronic Energy of some Nanocrystalline Silicon Quantum-Dots

Ekong

Osiele

2016

ILCPA

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“…As a consequence, the exciton binding energy increases. When a/b tends to 1, the exciton binding energy tends to 4 R * which corresponds to the well-known two-dimensional exciton binding energy [24,25].…”

Section: Resultsmentioning

confidence: 99%

Excitons in InP/InAs inhomogeneous quantum dots

Assaid¹,

Feddi²,

Khamkhami³

et al. 2002

J. Phys.: Condens. Matter

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Wannier excitons confined in an InP/InAs inhomogeneous quantum dot (IQD) have been studied theoretically in the framework of the effective mass approximation. A finite-depth potential well has been used to describe the effect of the quantum confinement in the InAs layer. The exciton binding energy has been determined using the Ritz variational method. The spatial correlation between the electron and the hole has been taken into account in the expression for the wavefunction. It has been shown that for a fixed size b of the IQD, the exciton binding energy depends strongly on the core radius a. Moreover, it became apparent that there are two critical values of the core radius, acrit and a2D, for which important changes of the exciton binding occur. The former critical value, acrit, corresponds to a minimum of the exciton binding energy and may be used to distinguish between tridimensional confinement and bidimensional confinement. The latter critical value, a2D, corresponds to a maximum of the exciton binding energy and to the most pronounced bidimensional character of the exciton.

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“…where Sij = Jcn ~$:C$~dq is the overlap matrix of the functions q5;, performed in the region C, only. Now, we order the eigenvalues of G, so that u i 5 Hermitian, but we can make it Hermitian by taking Thus, we have two different approximations: The first one, henceforth called Al, in which we solve Eqs. (2.5) and (2.9), corresponds to a particular rotation and projection in a model space, leaving unchanged the orthogonalization conditions for the basis-set functions.…”

Section: 3)mentioning

confidence: 99%

Atoms and molecules in cavities: A method for study of spatial confinement effects

Zicovich‐Wilson

Jaskólski²,

Planelles

1995

Int J of Quantum Chemistry

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mA general method for solving the problems of spatially confined quantum mechanical systems is proposed. The method works within the framework of the model space approximation. In the case of atoms and molecules trapped into any-shape microscopic cavity (like molecular sieves or fullerenes), the method reduces to a simple modification of the commonly used basis-set quantum chemical calculations. The modification consists of a particular rotation and projection in the model space, leading to solutions better adapted to the boundary conditions of the spatial confinement than the functions that describe the free systems. To illustrate how this method works, it has been applied to the hydrogen atom confined in a spherical well, near a hard wall and confined in a cubic box. The results are also compared to the exact solutions. 0 1995

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Untitled

Cited by 14 publications

References 11 publications

A Quantum Confinement Study of the Electronic Energy of some Nanocrystalline Silicon Quantum-Dots

A Quantum Confinement Study of the Electronic Energy of some Nanocrystalline Silicon Quantum-Dots

Excitons in InP/InAs inhomogeneous quantum dots

Atoms and molecules in cavities: A method for study of spatial confinement effects

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