Structure and Electronic Properties of Liquid Semiconductors

  • J. E. Enderby


It is now quite clear that a good knowledge of a (q), the interference function, is necessary for a fundamental understanding of the electronic properties of liquid conductors. The purpose of this section is to describe the use of neutron and X-ray diffraction techniques in determining this quantity. In most scattering experiments the measured intensities are proportional to differential scattering cross sections. Let bc and bi represent respectively the bound atom scattering lengths for coherent and incoherent scattering. Then the differential scattering cross section for coherent scattering is Nbc 2 a(q) whilst that for incoherent scattering is Nbi 2, provided the scattering is perfectly elastic (see, for example, Bacon (1962)), a(q) here is defined in the usual way as the expectation value of N S(q) S*(q) where
$${\text{S}}\left( {\text{q}} \right) = \sum\limits_{\text{i}} {{{\text{e}}^{ - {\text{iq}}{\text{.}}{{\text{r}}_{\text{i}}}}}} $$
N is the number of scatterers, q is a wave number and rirefers to the positions of the nuclei.


Electronic Property Hard Sphere Radial Distribution Function Liquid Alloy Thermoelectric Power 
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© Plenum Publishing Company Ltd 1974

Authors and Affiliations

  • J. E. Enderby
    • 1
  1. 1.Department of PhysicsUniversity of LeicesterUK

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