APPENDIX A
FORMULAS FOR
DIMENSIONALITY
A.l. INTRODUCTION
We saw in Chapter 9, on quantum wells, quantum wires and quantum dotes, that the
dimensionality of the system has a pronounced effect on its properties. This is one of
the dramatic new factors that makes nanoscience so interesting. In this appendix we
gather together some of the important formulas that summarize the role played by
dimensionality.
A.2. DELOCALIZATION
The regions occupied by a system of conduction electrons delocalized in one-, two-,
and three-dimensional coordinate space are the length, area, and volume given in the
Introduction to Nanotechnology, by Charles P. Poole Jr. and Frank J. Owens.
ISBN 0-471-07935-9. Copyright 0 2003 John Wiley & Sons, Inc.
357
FORMULAS FOR
DIMENSIONALITY
A.l. INTRODUCTION
We saw in Chapter 9, on quantum wells, quantum wires and quantum dotes, that the
dimensionality of the system has a pronounced effect on its properties. This is one of
the dramatic new factors that makes nanoscience so interesting. In this appendix we
gather together some of the important formulas that summarize the role played by
dimensionality.
A.2. DELOCALIZATION
The regions occupied by a system of conduction electrons delocalized in one-, two-,
and three-dimensional coordinate space are the length, area, and volume given in the
Introduction to Nanotechnology, by Charles P. Poole Jr. and Frank J. Owens.
ISBN 0-471-07935-9. Copyright 0 2003 John Wiley & Sons, Inc.
357