Chapter 2. Crystal Structure and Chemical Bonding

  1. Prof. Wolfgang Pfeiler
  1. Yuri Grin1,
  2. Ulrich Schwarz1 and
  3. Walter Steurer2

Published Online: 20 SEP 2007

DOI: 10.1002/9783527614196.ch2

Alloy Physics: A Comprehensive Reference

Alloy Physics: A Comprehensive Reference

How to Cite

Grin, Y., Schwarz, U. and Steurer, W. (2007) Crystal Structure and Chemical Bonding, in Alloy Physics: A Comprehensive Reference (ed W. Pfeiler), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527614196.ch2

Editor Information

  1. University of Vienna, Faculty of Physics, Dynamics of Condensed Systems, Strudlhofgasse 4, 1090 Vienna, Austria

Author Information

  1. 1

    Max-Planck-Institut für Chemische Physik fester Stoffe, Nöthnitzer Straße 40, 01187 Dresden, Germany

  2. 2

    ETH Zurich, Department of Materials, Laboratory of Crystallography, Wolfgang-Pauli-Str. 10, 8093 Zurich, Switzerland

Publication History

  1. Published Online: 20 SEP 2007
  2. Published Print: 11 JUL 2007

ISBN Information

Print ISBN: 9783527313211

Online ISBN: 9783527614196



  • alloy physics;
  • crystal structure;
  • chemical bonding;
  • formation;
  • composition;
  • crystal structure intermetallic phases;
  • quasicrystals


This chapter contains sections titled:

  • Introduction

  • Factors Governing Formation, Composition and Crystal Structure of Intermetallic Phases

    • Mappings of Crystal Structure Types

  • Models of Chemical Bonding in Intermetallic Phases

    • Models Based on the Valence (or Total) Electron Numbers

    • Quantum Mechanical Models for Metallic Structures

    • Electronic Closed-Shell Configurations and Two-Center Two-Electron Bonds in Intermetallic Compounds

      • Zintl–Klemm Approach

      • Extended 8 - N Rule

      • Bonding Models in Direct Space

  • Structure Types of Intermetallic Compounds

    • Classification of the Crystal Structures of Intermetallic Compounds

    • Crystal Structures Derived from the Closest Packings of Equal Spheres

    • Crystal Structures Derived from the Close Packings of Equal Spheres

    • Crystal Structures Derived from the Packings of the Spheres of Different Sizes

    • Selected Crystal Structures with Complex Structural Patterns

  • Quasicrystals

    • Introduction

    • Quasiperiodic Structures in Direct and Reciprocal Space

    • Formation and Stability

    • Structures of Decagonal Quasicrystals (DQCs)

    • Structures of Icosahedral Quasicrystals

  • Outlook

  • References