LIST OF TABLES

LIST OF FIGURES

1. INTRODUCTION

1.1. Brief History of Atomic Theory

1.2. Capacitance

1.3. The Artificial Atom

1.4. Motivation

2. ELECTROSTATICS

2.1. Assembly of a Two-Electron System

2.2. The Few Electron Dielectric Sphere

2.3. Electrostatic Potentials

2.4. Electrostatic Interaction Energies

2.5. Graphical Representation of Interaction Energies

2.5.1. Self Polarization

2.5.2. Polarization

2.5.3. Coulomb Interactions

2.5.4. Total Interaction Energy

2.6. Gauss vs. Interactions Model

2.7. Minimization of Interaction Energy

2.7.1. Intuitive Geometric Minimization

3. CLASSICAL ELECTROSTATIC PERIODIC TABLE

3.1. Periodic Nature of Elements

3.1.1. Periodic Shell Filling

3.2. Electrostatic Periodic Table

3.2.1. Transition Energies

4. CAPACITANCE OF FEW ELECTRON DIELECTRIC SPHERES

4.1. Capacitance Models

4.1.1. Energy Dependent Capacitance Model

4.1.2. Potential-Dependent Definition of Capacitance

4.2. The Periodic Table of Capacitance

5. QUANTUM MECHANICS

5.1. Electrostatics of the Quantum Mechanical System

5.1.1. The Two-Electron System

5.1.2. Electrostatic Potentials

5.2. The Schrödinger Equation

5.2.1. Energies

5.2.2. Wavefunctions

5.2.3. Normalization

5.2.4. Ground State Energy using Variation

5.3. Remarks

6. RESULTS AND DISCUSSION

6.1. Practical Applications

6.2. Measured Values

6.3. Symmetry

6.4. Even and Odd Trend

BIBLIOGRAPHY