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1 - Outline

Published online by Cambridge University Press:  19 January 2010

Norman Henry March
Affiliation:
University of Oxford
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Summary

This book is about the theory of liquid metals. The interplay between electronic and ionic structure is a major feature of such systems. This should occasion no suprise, as even a pure liquid metal is a two-component system: positive ions and conduction electrons. Therefore, as in a binary liquid mixture such as argon and krypton, where three partial structure factors SArAr, SKrKr, and SArKr are required to describe the short-range atomic order, so in liquid metal Na, for instance, one needs SNa+Na+, SNa+e, and See for a structural characterization.

For a very fundamental treatment, the preceding description would be the correct starting point to treat liquid metal Na. Indeed, the theory of liquid metals has been developed in this manner. However, it is still true that, for many important purposes, a simpler picture suffices. Thus, in the chapter following this outline, attention will be focused on the ion-ion structure factor, which will simply be written as S(k); k = 4π sin θ/λ with 2θ the angle of scattering of X rays or neutrons and λ the wavelength of the radiation. It will be emphasized that it is indeed S(k) that is measured in suitable neutron-scattering experiments.

Then, in the following chapter, the use of this knowledge of structure will be considered in relation to the thermodynamics of liquid metals. Following this, electron screening of ions will be treated with the theme stressed above, the interplay between electronic and ionic structure, leading to a treatment of effective interionic forces. This theory will then be confronted with an approach based on the so-called inverse problem—namely, that of extracting an effective ion-ion interaction from the measured structure factor S(k).

Type
Chapter
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Liquid Metals
Concepts and Theory
, pp. 1 - 2
Publisher: Cambridge University Press
Print publication year: 1990

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  • Outline
  • Norman Henry March, University of Oxford
  • Book: Liquid Metals
  • Online publication: 19 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511563928.002
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  • Outline
  • Norman Henry March, University of Oxford
  • Book: Liquid Metals
  • Online publication: 19 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511563928.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Outline
  • Norman Henry March, University of Oxford
  • Book: Liquid Metals
  • Online publication: 19 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511563928.002
Available formats
×