INTRODUCTION LITERATURE REVIEW METHODOLOGY RESULTS AND DISCUSSION

v TABLE OF CONTENT Abstract i Abstrak ii Dedication iii Acknowledgement iv Table of Content v List of Tables viii List of Figures ix List of Abbreviations, Symbols and Nomenclatures xi

CHAPTER 1: INTRODUCTION

1.1 Background 1 1.2 Problem statement 3 1.3 Objectives 5

1.4 Scope

5

CHAPTER 2: LITERATURE REVIEW

2.1 Introduction

7 2.2 The nature of Carbon 7 2.3 Carbon nanotube 9 2.3.1 Single-walled carbon nanotube SWCNTs 10 2.3.2 Chirality of SWCNT 10 2.3.3 Multi-walled carbon nanotube MWCNTs 12 2.4 Doping system of CNT 13 2.4.1 Si atom doping system 14 2.5 CNTs based gas sensor 15 2.6 The nature of gas molecules 18 2.6.1 Carbon dioxide 18 2.6.2 Oxygen 19 2.6.3 Methanol 19 vi 2.7 Theoretical studies of nanotube on gas adsorption 19 2.8 Computational molecular modelling 21 2.8.1 First principles of quantum theory 21 2.8.2 Density functional theory 23 2.8.2.1 The Hohenberg-Kohn Theorems 24 2.8.2.2 Kohn-Sham Method 24 2.8.2.3 Exchange-Corellation Functional 25 2.8.3 Local density approximation 26 2.8.4 Generalized gradient approximation 26 2.8.5 K-Point Sampling 27 2.8.6 Materials studio software 28 2.8.6.1 CASTEP Cambridge serial total energy package 30 2.8.6.2 Dmol3 density functional calculation on molecules 31 2.8 Summary of computational theory 32

CHAPTER 3: METHODOLOGY

3.1 Introduction 33 3.2 The computational materials studio software 34 3.3 Computer system specification 38 3.4 Building structure of single-wall carbon nanotube - STEP 1 39 3.5 Structure refinement – STEP 2 44 3.6 Calculation of material properties using quantum based software CASTEP and DMol3 – STEP 3 45 3.7 Analysis structure – STEP 4 48 3.7.1 Adsorption Energy 48 3.7.2 Electronic band structure 49 3.7.1.1 Band structure 49 3.6.1.2 High symmetry of Brillouin zone 50 3.7.3 Density of state 52

CHAPTER 4: RESULTS AND DISCUSSION

vii 4.1 Geometry properties 54 4.1.1 Pristine SWCNT and Si-doped SWCNT 56 4.1.2 O 2 on pristine SWCNT and Si-doped SWCNT 58 4.1.3 CO 2 on pristine SWCNT and Si-doped SWCNT 60 4.1.4 CH 3 OH on pristine SWCNT and Si-doped SWCNT 62 4.2 Adsorption energy analysis 65 4.3 Electronic properties 68 4.3.1 Pristine and Si doped SWCNT electronic properties analysis 68 4.3.2 O 2 adsorption 71 4.3.3 CO 2 adsorption 74 4.3.4 CH 3 OH adsorption 77

CHAPTER 5: CONCLUSIONS AND RECOMMENDATIONS