Transport of Mobile Particles in an Immobile Environment: Computer Simulations of Sodium Silicates

  • Jürgen Horbach
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 736)

Abstract

Molecular dynamics (MD) simulations of various sodium silicate melts, (Na2O)x(SiO2) with x=2, 3, 20, are presented. In these systems, the mobility of sodium ions is much higher, often by orders of magnitude, than that of the silicon and oxygen atoms forming a tetrahedral network structure. We show that the high mobility of sodium is intimately related to the chemical ordering in sodium silicates. A network of percolating sodium-rich channels is formed in the static structure that serve as diffusion channels for the sodium ions. This channel network is revealed in static structure factors by a prepeak at the wavenumber q=0.95 Å-1. Inelastic neutron scattering experiments of sodium silicate melts, done at temperatures as high as 1600 K, confirm the existence of the latter prepeak. The channel diffusion of sodium ions yields a peculiar behavior of time-dependent density–density correlation functions, the so-called intermediate scattering functions. Whereas the incoherent scattering function for sodium, FsNa(q,t), detects the fast sodium ion diffusion, the coherent scattering function for Na–Na correlations, F NaNa(q,t), decays on the slow time-scale of the Si–O matrix. This reflects the hopping motion of sodium ions between sodium sites, thereby FNaNa(q,t) describing site–site correlations. Numerical calculations in the framework of mode-coupling theory (MCT) are presented which use the partial static structure factors from the MD simulations as an input. The MCT results are in qualitative agreement with those from MD simulations.

Keywords

Molecular Dynamics Simulation Sodium Silicate Static Structure Factor Partial Structure Factor Density Correlation Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Jürgen Horbach
    • 1
    • 2
  1. 1.Institut für PhysikJohannes Gutenberg–Universität MainzGermany
  2. 2.Institut für Materialphysik im WeltraumDeutsches Zentrum für Luft-und Raumfahrt,Linder HöheD-51147 KölnGermany

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