Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Basic Structural Concepts
- 3 Symmetry in Crystal Structures
- 4 Crystal Structures
- 5 Diffraction
- 6 Secondary Bonding
- 7 Ionic Bonding
- 8 Metallic Bonding
- 9 Covalent Bonding
- 10 Models for Predicting Phase Stability and Structure
- Appendix 1A Crystal and univalent radii
- Appendix 2A Computing distances using the metric tensor
- Appendix 2B Computing unit cell volumes
- Appendix 2C Computing interplanar spacings
- Appendix 3A The 230 space groups
- Appendix 3B Selected crystal structure data
- Appendix 5A Introduction to Fourier series
- Appendix 5B Coefficients for atomic scattering factors
- Appendix 7A Evaluation of the Madelung constant
- Appendix 7B Ionic radii for halides and chalcogenides
- Appendix 7C Pauling electronegativities
- Appendix 9A Cohesive energies and band gap data
- Appendix 9B Atomic orbitals and the electronic structure of the atom
- Index
Appendix 1A - Crystal and univalent radii
Published online by Cambridge University Press: 23 February 2011
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Basic Structural Concepts
- 3 Symmetry in Crystal Structures
- 4 Crystal Structures
- 5 Diffraction
- 6 Secondary Bonding
- 7 Ionic Bonding
- 8 Metallic Bonding
- 9 Covalent Bonding
- 10 Models for Predicting Phase Stability and Structure
- Appendix 1A Crystal and univalent radii
- Appendix 2A Computing distances using the metric tensor
- Appendix 2B Computing unit cell volumes
- Appendix 2C Computing interplanar spacings
- Appendix 3A The 230 space groups
- Appendix 3B Selected crystal structure data
- Appendix 5A Introduction to Fourier series
- Appendix 5B Coefficients for atomic scattering factors
- Appendix 7A Evaluation of the Madelung constant
- Appendix 7B Ionic radii for halides and chalcogenides
- Appendix 7C Pauling electronegativities
- Appendix 9A Cohesive energies and band gap data
- Appendix 9B Atomic orbitals and the electronic structure of the atom
- Index
Summary
Table 1A.1 and 1A.2 list Pauling's empirical crystal radii and the univalent radii, respectively. The empirical crystal radii were determined under the assumption that the radius of the oxide (O––) ion is 1.4 Å. These radii follow earlier tabulations by Wasastjerna, and Goldschmidt, whose tables were based on the assumption that the radius of F– was 1.33 Å and the radius of O–– was 1.32 Å. Bragg also developed a table of radii based on the assumption that both F– and O–– had radii of 1.35 Å. While Pauling's radii are still used, Shannon's radii (discussed in Chapter 7 and compiled in Table 7A.1) are now widely accepted.
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- Information
- Structure and Bonding in Crystalline Materials , pp. 477 - 479Publisher: Cambridge University PressPrint publication year: 2001