DESIGNING AN EQUISPACED LEVEL QUANTUM WELL IN THE ULTRA TIN LAYER OF A SEMI CONDUCTOR ALLOY

  • Type: Project
  • Department: Physics
  • Project ID: PHY0091
  • Access Fee: ₦5,000 ($14)
  • Pages: 59 Pages
  • Format: Microsoft Word
  • Views: 197
  • Report This work

For more Info, call us on
+234 8130 686 500
or
+234 8093 423 853

ABSTRACT

A derivation of equispaced-level conduction band Hamiltonians using the coordinate-transform based procedure is presented. The procedure start with the effective-mass schrodinger equation (Luttinger and Kohn, 1995), where the local conduction-band edge is interpreted as the potential experienced by and electron in a quantum well (QW). The electron effective mass variation is proportional to the potential variation within the a QW, and the well has equispaced bound state.

In semiconductor alloy quantum wells, designs that are equispaced are difficult to come by. Milanovic and Ikonic (1996), realized the design of eqispaced level in the Ga As/ Alx Ga1-x  As QW system using the coordinate-transform based procedure. In this research work, an attempt has been made to extend this procedure to other semiconductor ternary alloy (AX B1-X C) which to the best of my knowledge, has not been done before hence this study fills a gap and is worth the effort of adding to the varieties of QW designs in existence.

Two Hamiltonians are derived, one with a confining potential that may be realizing by appropriate grading of the alloy and the other with a non-confining potential were the electron effective-mass tends to zero as Z tends to infinity  of Hamiltonian is not realizable, the aims are design an equispaced level QW in the conduction band of an ultra thin layer of a semiconductor alloy by solving the effective mass Schrodinger equation with a one dimensional harmonic oscillator (IDHO) potential, and to calculate the grading funding necessary to realized level.

 

 

 

 

 

 

TABLE OF CONTENTS

Cover Page: ----------------------------------------------------------------------------------------------------i

The Fly Leaf---------------------------------------------------------------------------------------------------ii

Title Page------------------------------------------------------------------------------------------------------iii

Declaration----------------------------------------------------------------------------------------------------iv

Certification ---------------------------------------------------------------------------------------------------v

Dedication: ----------------------------------------------------------------------------------------------------vi

Acknowledgement: ----------------------------------------------------------------------- -----------------vii

Table of contents:-------------------------------------------------------------------------------------------viii

Abstracts:-------------------------------------------------------------------------------------------------------x

 

CHAPTER ONE:

1.1  Introduction ----------------------------------------------------------------------------------------------1

1.1                Semiconductor material for optoelectronics (quantum electrons)----------------------------4

1.2            quantum structures----------------------------------------------------------------------------------5

1.3           quantum well (qw) 2-d system ---------------------------------------------------------------------6

1.4            sub band and wave function a quantum well --------------------------------------------------11

1.5           other quantum structures --------------------------------------------------------------------------15

1.6            QWR 1-d system ----------------------------------------------------------------------------------17 QD o-d system-----------------------------------------------------------------------------------------------20

 

 

CHAPTER TWO

2.1 eqispaced conduction band model--------------------------------------------------------------------23

2.2 wave function -------------------------------------------------------------------------------------------37

2.3 conduction band offset----------------------------------------------------------------------------------40

 

CHAPTER THREE

3.0   presentation of results---------------------------------------------------------------------------------41

CHAPTER FOUR

4.0   discussion of result---------- --------------------------------------------------------------------------51

CHAPTER FIVE

5.0 Conclusion-----------------------------------------------------------------------------------------------53             

5.1 Recommendation ---------------------------------------------------------------------------------------56  

 5.2 References-----------------------------------------------------------------------------------------------58

 

 

 

DESIGNING AN EQUISPACED LEVEL QUANTUM WELL IN THE ULTRA TIN LAYER OF A SEMI CONDUCTOR ALLOY
For more Info, call us on
+234 8130 686 500
or
+234 8093 423 853

Share This
  • Type: Project
  • Department: Physics
  • Project ID: PHY0091
  • Access Fee: ₦5,000 ($14)
  • Pages: 59 Pages
  • Format: Microsoft Word
  • Views: 197

500
Leave a comment...

    Related Works

    Resonant tunneling through Quantum dot arrays is the quantum-mechanical effect of transition through a classically-forbidden energy state. Consider rolling a ball up a hill. If the ball is not given enough velocity, then it will not roll over the hill. This makes sense classically. But in quantum mechanics, objects exhibit wavelike behaviour. For... Continue Reading
    ABSTRACT This research work as aimed at calculating the resonant tunnelling energy of a quantum dot array which is the energy needed by a particle to tunnel through multiple barrier. A Hamiltonian of the form; H Was use to act on some states with different spin orientations to obtain four by four matrices. The Eigen value which was obtained can... Continue Reading
    ABSTRACT This research work as aimed at calculating the resonant tunnelling energy of a quantum dot array which is the energy needed by a particle to tunnel through multiple barrier. A Hamiltonian of the form; H Was use to act on some states with different spin orientations to obtain four by four matrices. The Eigen value which was obtained can... Continue Reading
    Resonant tunneling through Quantum dot arrays is the quantum-mechanical effect of transition through a classically-forbidden energy state. Consider rolling a ball up a hill. If the ball is not given enough velocity, then it will not roll over the hill. This makes sense classically. But in quantum mechanics, objects exhibit wavelike behaviour. For... Continue Reading
    ABSTRACT This study has evaluated the effectiveness of metallic materials as chill in sand casting of aluminium alloy. Four plates of dimension 165mm x 80mm x10mm were cast using sand mould. Steel, copper and brass chills in form of cylindrical bar of geometry 7mm in diameter and 50mm long were inserted, side by side at regular intervals of 30mm... Continue Reading
    INTRODUCTION The poultry industry is very important to the Nigerian economy because it provides a good source of animal protein in eggs and meat. Protein plays important roles in the formation of a balanced human diet which is essential for the good health, vigor and productivity capacity of the people (Abdullahi, Maqbool & Bukhsh, 2007).... Continue Reading
    INTRODUCTION The poultry industry is very important to the Nigerian economy because it provides a good source of animal protein in eggs and meat. Protein plays important roles in the formation of a balanced human diet which is essential for the good health, vigor and productivity capacity of the people (Abdullahi, Maqbool & Bukhsh, 2007). Protein... Continue Reading
    INTRODUCTION The poultry industry is very important to the Nigerian economy because it provides a good source of animal protein in eggs and meat. Protein plays important roles in the formation of a balanced human diet which is essential for the good health, vigor and productivity capacity of the people (Abdullahi, Maqbool & Bukhsh, 2007).... Continue Reading
    ABSTRACT Equal channel angular pressing (ECAP) has over the years been used as a severe plastic deformation method to refine the grains and improve the strength of various metals. Even though this has been largely successful, research over the years has tried to increase the amount of strain induced in the materials used during this process so as... Continue Reading
    ABSTRACT Magnetohydrodynamic boundary layer flow involving a fluid of varying viscosity subject to thermal radiation and Newtonian heating has various applications in industry and engineering some of the applications include designing of cooling systems used in electronic devices, cooling of nuclear reactors, harvesting of solar energy, thermal... Continue Reading
    Call Us Get this work